%!PS-Adobe-1.0 %%Title: GEM Document %%Creator: GEM %%Pages: (atend) %%BoundingBox: 0 0 611 791 %%EndComments % Copyright (C) Digital Research, Inc. 1986-1988. All rights reserved. systemdict /setpacking known {/svp currentpacking def true setpacking}if /gemdict 250 dict def gemdict begin /bd{bind def}bind def /ed{exch def}bind def % User defined Start of Page procedure: this operator will be % executed at the beginning of each page output through GEM % and is provided to allow user-defined page initialization. /UserSoP{}bd % Halftone screen spot function procedure array: this array is indexed % into as follows: 0 = dot screen, 1 = line screen, 2 = ellipse screen, % 3 = custom (user-definable) screen. /ScreenProc[ { % Dot screen abs exch abs 2 copy add 1 gt{ 1 sub dup mul exch 1 sub dup mul add 1 sub}{ dup mul exch dup mul add 1 exch sub}ifelse}bind { % Line screen pop}bind { % Ellipse screen dup 5 mul 8 div mul exch dup mul exch add sqrt 1 exch sub}bind { % Custom screen dup mul exch dup mul add sqrt 1 exch sub}bind ]def /GEMINISUB{pop pop pop pop pop}bd /GEMINIDOC{dup userdict exch known{cvx exec}{pop}ifelse /#copies ed settray statusdict /setpageparams known {statusdict begin 0 1 setpageparams end}{pop pop}ifelse}bd /geminit{np 1 setlinejoin /mpf true def /cmat matrix def /smat matrix def /rmat matrix def /encstr 80 string def /patname null def /patbits null def gs}bd /GEMMATSUB{pop pop pop pop gr 72 300 div exch div dup scale gs}bd /GEMMATINI{/landscape ed /p3 ed /p2 ed /p1 ed gr 72 300 div exch div dup scale clippath pathbbox exch /prx ed exch dup /ply ed sub 1 add p3 sub 2 div ply add /ty ed dup prx exch sub 1 add p2 sub 2 div add landscape{p1 add}if ty translate landscape{90 rotate}if gs}bd /gr /grestore load def /np /newpath load def /cp /currentpoint load def /gi /getinterval load def /lto /lineto load def /mto /moveto load def /cto /curveto load def /clw /currentlinewidth load def /gs /gsave load def /greset{gr gs}bd /settray{dup 0 lt mf dup 0 ge{tray}{pop}ifelse}bd /mf{statusdict /manualfeed known {statusdict begin /manualfeed ed end}{pop}ifelse}bd /tray{statusdict begin true product(Dataproducts LZR 1260)eq{not exch dup 2 gt{pop 0}if dup 0 eq{pop defaultpapertray}if setpapertray}if product(QMS-PS 1200)eq product(Silentwriter)eq or{not exch dup 1 gt {pop 0}if defaultpapertray exch 0 ne{3 exch sub}if setpapertray}if product dup(PrintServer 40)eq exch(QMS-PS 2400)eq or{ not exch dup 2 gt{pop 0}if dup 0 eq{pop defaultpapertray} {dup defaultpapertray ge{1 add}if}ifelse setpapertray}if {statusdict /defaultpapertray known statusdict /setpapertray known and {defaultpapertray exch 0 ne{1 exch sub}if setpapertray} {pop}ifelse}if end}bd /R{findfont begin currentdict dup maxlength dict begin {1 index /FID ne{def}{pop pop}ifelse}forall /FontName ed dup length 0 ne{ /Encoding Encoding 256 array copy def 0 exch {dup type /nametype eq{ Encoding 2 index 2 index put pop 1 add} {exch pop}ifelse}forall}if pop currentdict dup end end /FontName get exch definefont pop}bd /gemenvec[8#200 /Ccedilla 8#201 /udieresis 8#202 /eacute 8#203 /acircumflex 8#204 /adieresis 8#205 /agrave 8#206 /aring 8#207 /ccedilla 8#210 /ecircumflex 8#211 /edieresis 8#212 /egrave 8#213 /idieresis 8#214 /icircumflex 8#215 /igrave 8#216 /Adieresis 8#217 /Aring 8#220 /Eacute 8#221 /ae 8#222 /AE 8#223 /ocircumflex 8#224 /odieresis 8#225 /ograve 8#226 /ucircumflex 8#227 /ugrave 8#230 /ydieresis 8#231 /Odieresis 8#232 /Udieresis 8#233 /cent 8#234 /sterling 8#235 /yen 8#236 /currency 8#237 /florin 8#240 /aacute 8#241 /iacute 8#242 /oacute 8#243 /uacute 8#244 /ntilde 8#245 /Ntilde 8#246 /ordfeminine 8#247 /ordmasculine 8#250 /questiondown 8#251 /quotedblleft 8#252 /quotedblright 8#253 /guilsinglleft 8#254 /guilsinglright 8#255 /exclamdown 8#256 /guillemotleft 8#257 /guillemotright 8#260 /atilde 8#261 /otilde 8#262 /Oslash 8#263 /oslash 8#264 /oe 8#265 /OE 8#266 /Agrave 8#267 /Atilde 8#270 /Otilde 8#271 /section 8#272 /daggerdbl 8#273 /dagger 8#274 /paragraph 8#300 /quotedblbase 8#301 /ellipsis 8#302 /perthousand 8#303 /bullet 8#304 /endash 8#305 /emdash 8#306 /ring 8#307 /Aacute 8#310 /Acircumflex 8#311 /Egrave 8#312 /Ecircumflex 8#313 /Edieresis 8#314 /Igrave 8#315 /Iacute 8#316 /Icircumflex 8#317 /Idieresis 8#320 /Ograve 8#321 /Oacute 8#322 /Ocircumflex 8#323 /Scaron 8#324 /scaron 8#325 /Ugrave 8#326 /Uacute 8#327 /Ucircumflex 8#330 /Ydieresis 8#331 /germandbls 8#332 /Zcaron 8#333 /zcaron 8#334 /fraction 8#335 /space 8#336 /space 8#337 /space 8#340 /grave 8#341 /acute 8#342 /circumflex 8#343 /tilde 8#344 /dieresis 8#345 /ring 8#346 /cedilla 8#347 /caron version(23.0)eq{8#275 /space 8#276 /space 8#277 /space} {8#275 /copyright 8#276 /registered 8#277 /trademark}ifelse]def /addfont{fonts exch fpt exch put /fpt fpt 1 add def}bd /encfont{gemenvec exch fonts exch get dup encstr cvs length 1 sub encstr exch 1 exch getinterval cvn R}bd /dpath{mto{lto}repeat}bd /path{np dpath}bd /addpath{lto{lto}repeat}bd /rxy{.25 sub round .25 add}bd /rpt{transform rxy exch rxy exch itransform}bd /fa{np rpt mto 3{rpt lto}repeat}bd /circle{np 0 0 1 0 360 arc}bd /dot{gs np 2 copy mto lto 1 setlinecap stroke gr}bd /rend{gs 1 setlinecap np mto cp 0.1 add lto stroke gr}bd /rl{gs 1 setlinecap stroke gr}bd /vl{dup /st ed dup apath exch get tx sub dup mul exch 1 add apath exch get ty sub dup mul add sqrt}bd /doarrow{/rot ed /ty ed /tx ed 6 array currentmatrix tx ty translate clw 4 lt{4}{clw}ifelse dup scale rot rotate np 0 0 mto -3 1.5 lto -3 -1.5 lto fill setmatrix}bd /arpath{np apath 0 get apath 1 get mto 2 2 points 1 sub {dup apath exch get exch 1 add apath exch get lto}for}bd /arrowline{/apath ed /lend ed /lbeg ed /len clw 3 mul def /points apath length def lbeg {apath 0 get dup /tx ed /x1 ed apath 1 get dup /ty ed /y1 ed true 2 2 points 1 sub {vl len ge{pop false exit}if}for {/lbeg false def /lend false def} {apath 2 apath st points st sub gi putinterval /r1 y1 apath 3 get sub x1 apath 2 get sub atan def apath 0 x1 r1 cos len mul sub put apath 1 y1 r1 sin len mul sub put /points points st 2 sub sub def}ifelse}if lend{apath points 2 sub get dup /tx ed /x2 ed apath points 1 sub get dup /ty ed /y2 ed true points 4 sub -2 0 {vl len ge{pop false exit}if}for {/lbeg false def /lend false def} {/r2 y2 apath st 1 add get sub x2 apath st get sub atan def /st st 2 add def apath st x2 r2 cos len mul sub put apath st 1 add y2 r2 sin len mul sub put /points st 2 add def}ifelse}if lbeg{x1 y1 r1 doarrow}if lend{x2 y2 r2 doarrow}if arpath}bd /ac{6 array currentmatrix xt yt translate xs ys scale}bd /shorten{dup mul exch dup mul add sqrt clw 150 mul exch div}bd /xang{dup 360 ge{360}{0}ifelse exch dup sin xs mul exch cos ys mul atan dup 360 lt{add}{exch pop}ifelse}bd /arrowarc{/eang ed /bang ed /ys ed /xs ed /yt ed /xt ed /lend ed /lbeg ed ac np 0 0 1 bang xang eang xang arc setmatrix cp /y2 ed /x2 ed ac np 0 0 1 bang xang dup arc setmatrix cp /y1 ed /x1 ed lbeg {/bang bang xs ys shorten add def}if lend{/eang eang xs ys shorten sub def}if ac np 0 0 1 bang xang eang xang arc setmatrix gs stroke gr lend{x2 y2 cp y2 exch sub exch x2 exch sub atan doarrow}if lbeg{ac np 0 0 1 bang xang dup arc setmatrix x1 y1 cp y1 exch sub exch x1 exch sub atan doarrow}if}bd /rbox{/ury ed /urx ed /lly ed /llx ed urx llx sub 4 div dup 50 gt{pop 50}if /radius ed ury lly sub 4 div dup radius gt{pop radius}if /radius ed np urx radius sub ury mto llx ury llx lly radius arcto 4{pop}repeat llx lly urx lly radius arcto 4{pop}repeat urx lly urx ury radius arcto 4{pop}repeat urx ury llx ury radius arcto 4{pop}repeat}bd /marker{1 sub mdef exch get /mproc ed 32 div /msize ed {gs np translate msize dup scale mproc stroke gr}repeat}bd /mdef[{0 0 mto 1 0 lto 1 1 lto 0 1 lto closepath}bind {-16 0 mto 16 0 lto 0 -16 mto 0 16 lto}bind {0 -16 mto 0 16 lto 13.9 8 mto -13.9 -8 lto 13.9 -8 mto -13.9 8 lto}bind {16 16 mto -16 16 lto -16 -16 lto 16 -16 lto closepath}bind {16 16 mto -16 -16 lto -16 16 mto 16 -16 lto}bind {16 0 mto 0 16 lto -16 0 lto 0 -16 lto closepath}bind]def /bon{2 mul exch dup 3 1 roll 8 idiv add pstr exch get exch 8 mod 7 exch sub 1 exch bitshift and 0 ne}bd /bpsf{1 add 8 mul cvi exch 1 add 8 mul cvi exch bon {/onb onb 1 add def 1}{/ofb ofb 1 add def 0}ifelse}bd /frs{72 0 rmat defaultmatrix dtransform dup mul exch dup mul add sqrt}bd /sus{/m cmat currentmatrix def /sm 32 dup smat scale def sm m m concatmatrix pop 1 0 m dtransform dup abs 0.1 gt{exch 90}{0}ifelse exch pop exch dup 0 lt{exch 180 add exch neg}if frs exch div exch /bpsf load setscreen}bd /setpat{/onb 0 def /ofb 0 def sus{}settransfer ofb ofb onb add div setgray}bd /ellpie{/pie ed /eang ed /bang ed /ys ed /xs ed /yt ed /xt ed 6 array currentmatrix xt yt translate xs ys scale np pie{0 0 mto}if 0 0 1 bang xang eang xang arc setmatrix}bd /roundarc{gs 1 setlinecap cp np mto cp lto stroke gr}bd /ss{currentscreen /scp ed /sca ed /scf ed dup 0 lt{pop}{ScreenProc exch get /scp ed}ifelse dup 0 lt{pop}{/sca ed}ifelse dup 0 le{pop}{/scf ed}ifelse scf sca /scp load setscreen}bd /grayimg{{vrep 0.1 gt{/vrep vrep 1 sub def}{ {currentfile token pop 0 eq {currentfile scan readhexstring pop pop exit} {/vrep currentfile token pop def}ifelse }loop}ifelse scan}image}bd /fstimg{{vrep 0.1 gt{/vrep vrep 1 sub def}{ {currentfile token pop 0 eq {currentfile scan readhexstring pop pop exit} {/vrep currentfile token pop def}ifelse }loop}ifelse scan}imagemask}bd /decode{/patstring patlen string def /bonestr 1 string def {vrep 0.1 gt{/vrep vrep 1 sub def scan} {/spos 0 def {currentfile token pop currentfile token pop exch imop exch get exec spos smax ge {scan exit}if}loop}ifelse}imagemask}bd /imop[{ psc}bind {<00> psc}bind {currentfile patstring readhexstring pop psc}bind {1 exch 1 exch {pop currentfile bonestr readhexstring pop scan exch spos exch 0 get put /spos spos 1 add def}for}bind {1 sub /vrep ed}bind]def /psc{dup length /plen ed exch -1 1 {pop dup scan exch spos exch putinterval /spos spos plen add def}for pop}bd /gtext{gs /msg ed /ty ed /tx ed tx ty translate trotate rotate 10 setflat horz halign get exec vert valign get exec np tx ty mto msg show tunder {cp cp extents pop pop 5 div dup neg setlinewidth [] 0 setdash 1.5 mul ty add /ty ed pop np pop ty mto tx ty lto stroke np mto}if gr}bd /etext{gs translate trotate rotate /tx 0 def /ty 0 def {tx add dup /tx ed np ty mto show}repeat gr}bd /jtext{/msg ed /sps ed /dx ed /ty ed /tx ed gs tx ty translate trotate rotate 10 setflat jhorz halign get exec vert valign get exec msg stringwidth pop dx exch sub sps 0 eq{pop 0}{sps div}ifelse /xsp ed msg jo gr}bd /fet{gs translate /tx 0 def /ty 0 def {tx add dup /tx ed np ty mto show}repeat gr}bd /fjt{/msg ed /sps ed /dx ed /ty ed gs ty translate 10 setflat /tx 0 def /ty 0 def msg stringwidth pop dx exch sub sps 0 eq{pop 0}{sps div}ifelse /xsp ed msg jo gr}bd /tsel{tszabs{dup /FontBBox get aload pop exch pop dup 3 1 roll exch sub exch dup 0 eq{pop pop 1.25}{div}ifelse exch pop}{1}ifelse}bd /sf{fonts tface get findfont tsel dup txscale mul exch tyscale mul matrix scale makefont setfont}bd /jo{xsp exch 0 exch 32 exch np tx ty mto widthshow tunder {cp cp extents pop pop 5 div dup neg setlinewidth 1.5 mul ty add /ty ed []0 setdash pop np pop ty mto tx ty lto stroke np mto}if}bd /horz[{/tx 0 def}bind {msg stringwidth pop -2 div /tx ed}bind {msg stringwidth pop neg /tx ed}bind]def /extents{(_)bbox pop pop msg stringwidth pop (])bbox 3{exch pop}repeat}bd /bbox{np 0 0 mto false charpath flattenpath pathbbox np}bd /vert[{/ty 0 def}bind {extents -2 div /ty ed pop pop pop}bind {extents neg /ty ed pop pop pop}bind {extents pop pop neg /ty ed pop}bind]def /jhorz[{/tx 0 def}bind {/tx dx -2 div def}bind {/tx dx neg def}bind]def /symindex 12 def /CR{/ah 0 def}bd /LF{0 -50 translate}bd /atext{gs np ah av mto show tunder{cp cp (_)bbox pop pop exch pop 5 div dup neg setlinewidth 1.5 mul add dup ah exch [] 0 setdash np mto lto stroke np mto}if cp pop /ah ed gr}bd /colmap[ [1 1 1] [0 0 0] [1 0 0] [0 1 0] [0 0 1] [0 1 1] [1 1 0] [1 0 1] [.5 .5 .5] [0 0 0] [.5 0 0] [0 .5 0] [0 0 .5] [0 .5 .5] [.5 .5 0] [.5 0 .5] ]def /sci{colmap exch get aload pop setrgbcolor}bd /stint{/tint ed currentrgbcolor 3{dup 0 eq{pop tint}if 3 1 roll}repeat setrgbcolor}bd end /vpdict 1 dict def systemdict /setpacking known{svp setpacking}if %%EndProlog gsave currentdict /gemdict known not { /Times-Roman findfont 12 scalefont setfont newpath 72 700 moveto (Error: the GEM PostScript preamble is not available on your)show newpath 72 686 moveto ( printer. Pre-download the preamble or include it with)show newpath 72 672 moveto( your print job.)show newpath 72 658 moveto(This print job has been aborted.)show showpage stop}if gemdict begin 684 864 0 1 /letter GEMINIDOC geminit 1 2549 2550 3300 false GEMMATINI /fonts 128 array def /fpt 0 def /GCourier addfont /GCourier-Bold addfont /GCourier-Oblique addfont /GCourier-BoldOblique addfont /GHelvetica addfont /GHelvetica-Bold addfont /GHelvetica-Oblique addfont /GHelvetica-BoldOblique addfont /GTimes-Roman addfont /GTimes-Bold addfont /GTimes-Italic addfont /GTimes-BoldItalic addfont /Symbol addfont /GAvantGarde-Book addfont /GAvantGarde-BookOblique addfont /GAvantGarde-Demi addfont /GAvantGarde-DemiOblique addfont /GBookman-Light addfont /GBookman-LightItalic addfont /GBookman-Demi addfont /GBookman-DemiItalic addfont /GHelvetica-Narrow addfont /GHelvetica-Narrow-Oblique addfont /GHelvetica-Narrow-Bold addfont /GHelvetica-Narrow-BoldOblique addfont /GPalatino-Roman addfont /GPalatino-Italic addfont /GPalatino-Bold addfont /GPalatino-BoldItalic addfont /GNewCenturySchlbk-Roman addfont /GNewCenturySchlbk-Italic addfont /GNewCenturySchlbk-Bold addfont /GNewCenturySchlbk-BoldItalic addfont /GZapfChancery-MediumItalic addfont /ZapfDingbats addfont /GAmericanTypewriter-Medium addfont /GAmericanTypewriter-Bold addfont /GBenguiat-Book addfont /GBenguiat-Bold addfont /GBodoni addfont /GBodoni-Italic addfont /GBodoni-Bold addfont /GBodoni-BoldItalic addfont /GBodoni-Poster addfont /GCenturyOldStyle-Regular addfont /GCenturyOldStyle-Italic addfont /GCenturyOldStyle-Bold addfont /GCheltenham-Book addfont /GCheltenham-BookItalic addfont /GCheltenham-Bold addfont /GCheltenham-BoldItalic addfont /GFranklinGothic-Book addfont /GFranklinGothic-BookOblique addfont /GFranklinGothic-Demi addfont /GFranklinGothic-DemiOblique addfont /GFranklinGothic-Heavy addfont /GFranklinGothic-HeavyOblique addfont /GFrizQuadrata addfont /GFrizQuadrata-Bold addfont /GGalliard-Roman addfont /GGalliard-Italic addfont /GGalliard-Bold addfont /GGalliard-BoldItalic addfont /GGaramond-Light addfont /GGaramond-LightItalic addfont /GGaramond-Bold addfont /GGaramond-BoldItalic addfont /GGlypha addfont /GGlypha-Oblique addfont /GGlypha-Bold addfont /GGlypha-BoldOblique addfont /GGoudy addfont /GGoudy-Italic addfont /GGoudy-Bold addfont /GGoudy-BoldItalic addfont /GHelvetica-Light addfont /GHelvetica-LightOblique addfont /GHelvetica-Black addfont /GHelvetica-BlackOblique addfont /GHelvetica-Condensed-Light addfont /GHelvetica-Condensed-LightObl addfont /GHelvetica-Condensed addfont /GHelvetica-Condensed-Oblique addfont /GHelvetica-Condensed-Bold addfont /GHelvetica-Condensed-BoldObl addfont /GHelvetica-Condensed-Black addfont /GHelvetica-Condensed-BlackObl addfont /GKorinna-Regular addfont /GKorinna-KursivRegular addfont /GKorinna-Bold addfont /GKorinna-KursivBold addfont /GLetterGothic addfont /GLetterGothic-Slanted addfont /GLetterGothic-Bold addfont /GLetterGothic-BoldSlanted addfont /GLubalinGraph-Book addfont /GLubalinGraph-BookOblique addfont /GLubalinGraph-Demi addfont /GLubalinGraph-DemiOblique addfont /GMachine addfont /GMelior addfont /GMelior-Italic addfont /GMelior-Bold addfont /GMelior-BoldItalic addfont /GNewBaskerville-Roman addfont /GNewBaskerville-Italic addfont /GNewBaskerville-Bold addfont /GNewBaskerville-BoldItalic addfont /GOptima addfont /GOptima-Oblique addfont /GOptima-Bold addfont /GOptima-BoldOblique addfont /GOrator addfont /GOrator-Slanted addfont /GParkAvenue addfont /GPrestigeElite addfont /GPrestigeElite-Slanted addfont /GPrestigeElite-Bold addfont /GPrestigeElite-BoldSlanted addfont /Sonata addfont /GSouvenir-Light addfont /GSouvenir-LightItalic addfont /GSouvenir-Demi addfont /GSouvenir-DemiItalic addfont /GTrumpMediaeval-Roman addfont /GTrumpMediaeval-Italic addfont /GTrumpMediaeval-Bold addfont /GTrumpMediaeval-BoldItalic addfont /svobj save def %Begin page UserSoP greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset -75 3374 2624 3374 2624 -75 -75 -75 np mto lto lto lto clip np /tface 5 def 5 encfont /mpf true def colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 1724 473 3 (Status of this Memo)fjt /tface 8 def 8 encfont sf 300 1626 1889 14 (This paper describes a series of experiments involving over 100,000 hosts of the Internet syst)fjt 2189 1626 61 0 (em)fjt 300 1567 1950 15 (and located in the U.S., Europe and the Pacific. The experiments are designed to evaluate the)fjt (e)26 (h)14 (t)25 ( )26 (g)26 (n)14 (i)20 (s)26 (u)25 ( )26 (n)25 (o)15 (i)14 (t)26 (u)26 (b)14 (i)18 (r)14 (t)20 (s)15 (i)25 (d)25 ( )23 (e)40 (m)14 (i)15 (t)25 ( )25 (d)18 (r)23 (a)26 (d)26 (n)23 (a)14 (t)21 (s)25 ( )14 (l)23 (a)26 (n)26 (o)15 (i)15 (t)23 (a)26 (n)17 (r)23 (e)15 (t)26 (n)15 (i)25 ( )17 (f)26 (o)25 ( )26 (y)15 (t)15 (i)15 (l)14 (i)26 (b)23 (a)15 (i)15 (l)23 (e)17 (r)25 ( )26 (d)26 (n)23 (a)25 ( )26 (y)23 (c)23 (a)18 (r)26 (u)23 (c)23 (c)23 (a)25 ( )13 (,)26 (y)15 (t)15 (i)15 (l)14 (i)26 (b)23 (a)15 (l)15 (i)23 (a)26 (v)23 (a)0 92 300 1509 fet 300 1451 1950 13 (DARPA/NSF Internet and the Network Time Protocol \(NTP\), which is specified as an Internet)fjt 300 1393 1950 14 (Standard in RFC-1119. NTP is designed specifically for use in a large, diverse internet system)fjt 300 1334 1950 14 (operating at speeds from mundane to lightwave. In NTP a distributed subnet of time servers)fjt 300 1276 1826 9 (operating in a self-organizing, hierarchical, master-slave configuration exchange precision )fjt 2126 1276 108 0 (times)fjt 2234 1276 17 0 (-)fjt 300 1218 1934 16 (tamps in order to synchronize subnet clocks to each other and national time standards via wire o)fjt 2234 1218 17 0 (r)fjt 300 1160 115 0 (radio.)fjt 300 1062 1950 15 (The experiments are designed to locate Internet hosts and gateways that provide time by one of)fjt 300 1003 1831 13 (three time distribution protocols and evaluate the accuracy of their indications. For those hos)fjt 2131 1003 119 1 (ts that)fjt 300 945 1845 13 (support NTP, the experiments determine the distribution of errors and other statistics over )fjt 2145 945 105 0 (paths)fjt 300 887 1845 13 (spanning major portions of the globe. Finally, the experiments evaluate the accuracy and relia)fjt 2145 887 105 0 (bility)fjt 300 829 1950 12 (of precision timekeeping using NTP and typical Internet paths involving DARPA, NSFNET and)fjt 300 770 1950 10 (other agency networks. The experiments demonstrate that timekeeping accuracy throughout most)fjt 300 712 1826 15 (portions of the Internet can be ordinarily maintained to within a few tens of milliseconds, e)fjt 2126 712 124 1 (ven in)fjt 300 654 1290 10 (cases of failure or disruption of clocks, time servers or networks.)fjt 300 556 1579 12 (This memo does not specify a standard. Distribution of this memo is unlimited.)fjt 300 457 1818 9 (Keywords: internet clock synchronization, standard time distribution, Internet protocol, tim)fjt 2118 457 116 0 (ekeep)fjt 2234 457 17 0 (-)fjt 300 399 332 1 (ing experiments.)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset 225 3374 2324 3374 2324 1712 225 1712 np mto lto lto lto clip np /tface 4 def 4 encfont colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 3041 532 2 (Network Working Group)fjt 2032 3041 218 2 (D. L. Mills)fjt 300 2982 637 3 (Request for Comments 1128)fjt 1752 2982 498 2 (University of Delaware)fjt 1948 2924 302 1 (October 1989)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset 483 2742 2071 2742 2071 1829 483 1829 np mto lto lto lto clip np greset 483 2742 2071 2742 2071 1829 483 1829 np mto lto lto lto clip np /tface 5 def colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1400 3 mul 72 div def /tyscale 1400 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf (e)52 (m)16 (i)34 (T)16 ( )32 (k)23 (r)35 (o)46 (w)19 (t)32 (e)42 (N)16 ( )32 (e)36 (h)19 (t)16 ( )19 (f)36 (o)16 ( )32 (e)32 (c)36 (n)32 (a)52 (m)22 (r)36 (o)19 (f)23 (r)32 (e)39 (P)16 ( )35 (d)32 (e)23 (r)35 (u)33 (s)32 (a)32 (e)49 (M)0 40 671 2303 fet (m)33 (e)19 (t)32 (s)32 (y)39 (S)16 ( )19 (t)33 (e)35 (n)23 (r)32 (e)19 (t)36 (n)16 (I)16 ( )16 ( )32 (e)35 (h)20 (t)16 ( )35 (n)16 (i)16 ( )16 (l)36 (o)32 (c)35 (o)20 (t)35 (o)23 (r)38 (P)0 32 841 2235 fet greset 483 2742 2071 2742 2071 1829 483 1829 np mto lto lto lto clip np greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset -75 474 2624 474 2624 -75 -75 -75 np mto lto lto lto clip np /tface 4 def colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 279 100 0 (Mills)fjt 2109 279 141 1 (Page i)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np %End page showpage svobj restore gr gs /svobj save def %Begin page UserSoP greset -75 3374 2624 3374 2624 -75 -75 -75 np mto lto lto lto clip np /tface 5 def 5 encfont colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 2841 421 2 (Table of Contents)fjt /tface 8 def 8 encfont sf 300 2753 38 0 (1.)fjt 450 2753 259 1 ( Introduction)fjt 713 2753 1500 40 ( . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .)fjt 2225 2753 25 0 (1)fjt 300 2695 75 0 (1.1.)fjt 450 2695 914 5 ( Standard Time and Frequency Dissemination)fjt 1388 2695 825 22 ( . . . . . . . . . . . . . . . . . . . . . .)fjt 2225 2695 25 0 (2)fjt 300 2637 75 0 (1.2.)fjt 450 2637 576 4 ( The Network Time Protocol)fjt 1050 2637 1163 31 ( . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .)fjt 2225 2637 25 0 (2)fjt 300 2579 75 0 (1.3.)fjt 450 2579 689 4 ( Determining Time and Frequency)fjt 1163 2579 1050 28 ( . . . . . . . . . . . . . . . . . . . . . . . . . . . .)fjt 2225 2579 25 0 (3)fjt 300 2520 38 0 (2.)fjt 450 2520 661 3 ( Discovering Internet Timetellers)fjt 1125 2520 1088 29 ( . . . . . . . . . . . . . . . . . . . . . . . . . . . . .)fjt 2225 2520 25 0 (5)fjt 300 2462 75 0 (2.1.)fjt 450 2462 719 4 ( Evaluation of Timekeeping Quality)fjt 1200 2462 1013 27 ( . . . . . . . . . . . . . . . . . . . . . . . . . . .)fjt 2225 2462 25 0 (7)fjt 300 2404 75 0 (2.2.)fjt 450 2404 231 1 ( Discussion)fjt 713 2404 1500 40 ( . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .)fjt 2225 2404 25 0 (7)fjt 300 2346 38 0 (3.)fjt 450 2346 440 4 ( Survey of NTP Hosts)fjt 900 2346 1313 35 ( . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .)fjt 2225 2346 25 0 (8)fjt 300 2287 75 0 (3.1.)fjt 450 2287 642 5 ( Errors Due to Statistical Delays)fjt 1125 2287 1088 29 ( . . . . . . . . . . . . . . . . . . . . . . . . . . . . .)fjt 2225 2287 25 0 (9)fjt 300 2229 75 0 (3.2.)fjt 450 2229 810 6 ( Errors due to Radio Propagation Effects)fjt 1275 2229 900 24 ( . . . . . . . . . . . . . . . . . . . . . . . .)fjt 2200 2229 50 0 (12)fjt 300 2171 75 0 (3.3.)fjt 450 2171 793 7 ( Errors due to Radio Clock Phase Noise)fjt 1275 2171 900 24 ( . . . . . . . . . . . . . . . . . . . . . . . .)fjt 2200 2171 50 0 (14)fjt 300 2113 38 0 (4.)fjt 450 2113 259 1 ( Conclusions)fjt 713 2113 1463 39 ( . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .)fjt 2200 2113 50 0 (16)fjt 300 2054 38 0 (5.)fjt 450 2054 233 1 ( References)fjt 713 2054 1463 39 ( . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .)fjt 2200 2054 50 0 (16)fjt /tface 5 def sf 300 1967 343 2 (List of Figures)fjt /tface 8 def sf 300 1879 774 5 (Figure 1. Calculating Delay and Offset)fjt 1088 1879 1125 30 ( . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .)fjt 2225 1879 25 0 (4)fjt 300 1821 794 5 (Figure 2. Error Distribution by Protocol)fjt 1125 1821 1088 29 ( . . . . . . . . . . . . . . . . . . . . . . . . . . . . .)fjt 2225 1821 25 0 (6)fjt 300 1763 505 4 (Figure 3. Offset vs Delay)fjt 825 1763 1350 36 ( . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .)fjt 2200 1763 50 0 (10)fjt 300 1705 440 3 (Figure 4. Raw Offsets)fjt 750 1705 1425 38 ( . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .)fjt 2200 1705 50 0 (11)fjt 300 1646 503 3 (Figure 5. Filtered Offsets)fjt 825 1646 1350 36 ( . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .)fjt 2200 1646 50 0 (11)fjt 300 1588 843 6 (Figure 6. Error Distribution for NTP hosts)fjt 1163 1588 1013 27 ( . . . . . . . . . . . . . . . . . . . . . . . . . . .)fjt 2200 1588 50 0 (12)fjt 300 1530 783 5 (Figure 7. Radio Clock Frequency Error)fjt 1088 1530 1088 29 ( . . . . . . . . . . . . . . . . . . . . . . . . . . . . .)fjt 2200 1530 50 0 (15)fjt 300 1472 697 5 (Figure 8. Radio Clock Offset Error)fjt 1013 1472 1163 31 ( . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .)fjt 2200 1472 50 0 (15)fjt /tface 5 def sf 300 1384 321 2 (List of Tables)fjt /tface 8 def sf 300 1297 747 5 (Table 1. Time Responses by Protocol)fjt 1050 1297 1163 31 ( . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .)fjt 2225 1297 25 0 (5)fjt 300 1239 761 5 (Table 2. Time Responses by Category)fjt 1088 1239 1125 30 ( . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .)fjt 2225 1239 25 0 (9)fjt 300 1180 679 4 (Table 3. Radio Propagation Delay)fjt 1013 1180 1163 31 ( . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .)fjt 2200 1180 50 0 (13)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset -75 3374 2624 3374 2624 2825 -75 2825 np mto lto lto lto clip np /tface 4 def 4 encfont colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 2979 227 1 (RFC 1128)fjt 805 2979 941 5 (Performance of the Network Time Protocol)fjt 1948 2979 302 1 (October 1989)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset -75 474 2624 474 2624 -75 -75 -75 np mto lto lto lto clip np /tface 4 def colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 279 100 0 (Mills)fjt 2098 279 152 1 (Page ii)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np %End page showpage svobj restore gr gs /svobj save def %Begin page UserSoP greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset -75 3374 2624 3374 2624 -75 -75 -75 np mto lto lto lto clip np /tface 5 def 5 encfont /mpf true def colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 2841 42 0 (1.)fjt (n)30 (o)12 (i)16 (t)27 (c)29 (u)30 (d)29 (o)18 (r)16 (t)29 (n)13 (I)13 ( )0 13 350 2841 fet /tface 8 def 8 encfont sf 300 2744 1950 16 (How do hosts and gateways in a large, dispersed networking community know what time it is? How)fjt 300 2686 1804 15 (accurate are their clocks? In a 1988 survey involving 5,722 hosts and gateways of the Internet)fjt 2104 2686 146 1 ( system)fjt 300 2628 1950 15 ([MIL88a], 1158 provided their local time via the network. Sixty percent of the replies had errors)fjt 300 2569 1931 17 (greater than one minute, while ten percent had errors greater than 13 minutes. A few had errors a)fjt 2231 2569 19 0 (s)fjt 300 2511 1950 16 (much as two years. Most host clocks are set by eyeball-and-wristwatch to within a minute or two)fjt 300 2453 1950 14 (and rarely checked after that. Many of these are maintained by some sort of battery-backed)fjt 300 2395 1900 14 (clock/calender device using a room-temperature quartz oscillator that may drift as much as a seco)fjt 2200 2395 50 0 (nd)fjt 300 2336 1950 13 (per day and can go for weeks between manual corrections. For many applications, especially)fjt 300 2278 1631 9 (distributed internet applications, much greater accuracy and reliability is required.)fjt 300 2172 1950 14 (The Network Time Protocol \(NTP\) is designed to distribute standard time using the hosts and)fjt 300 2114 1920 15 (gateways of the Internet system. The Internet consists of over 100,000 hosts on over 800 packe)fjt 2220 2114 30 0 (t-)fjt 300 2056 1950 11 (switching networks interconnected by a comparable number of gateways. While the Internet)fjt 300 1998 1950 12 (backbone networks and gateways are engineered and managed for good service, operating speeds)fjt 300 1939 1950 12 (and service reliabilities vary considerably throughout the regional and campus networks of the)fjt 300 1881 1928 14 (system. This places severe demands on NTP, which must deliver accurate and reliable standard tim)fjt 2228 1881 22 0 (e)fjt 300 1823 1837 10 (in spite of component failures, service disruptions and possibly mis-engineered implementat)fjt 2137 1823 96 0 (ions.)fjt 300 1717 1950 14 (NTP and its forebears were developed and tested on PDP11 computers and the Fuzzball operating)fjt 300 1659 1950 12 (system, which was designed specifically for timekeeping precisions of a millisecond or better)fjt 300 1601 1601 12 ([MIL88b]. An implementation of NTP as a Unix 4.3bsd system daemon called )fjt /tface 10 def 10 encfont sf 1901 1601 89 0 (ntpd)fjt /tface 8 def sf 1990 1601 261 3 ( was built by)fjt (e)21 (s)27 (o)26 (p)19 (r)26 (u)27 (p)18 (-)16 (l)24 (a)15 (i)24 (c)24 (e)26 (p)21 (s)25 ( )38 (A)25 ( )14 (.)27 (d)27 (n)24 (a)15 (l)27 (y)18 (r)24 (a)46 (M)25 ( )18 (f)27 (o)25 ( )27 (y)15 (t)16 (i)21 (s)18 (r)24 (e)26 (v)16 (i)27 (n)37 (U)25 ( )24 (e)27 (h)15 (t)25 ( )16 (t)24 (a)25 ( )21 (s)26 (o)27 (k)24 (a)40 (m)24 (a)46 (M)25 ( )21 (s)16 (i)27 (u)27 (o)32 (L)25 ( )27 (d)27 (n)24 (a)25 ( )27 (y)19 (r)15 (t)24 (e)30 (P)25 ( )16 (l)24 (e)24 (a)27 (h)24 (c)16 (i)46 (M)0 80 300 1542 fet 300 1484 1950 12 (hardware/software implementation of NTP was built be Dennis Ferguson at the University of)fjt 300 1426 1936 15 (Toronto. Over a dozen NTP primary time servers are synchronized by radio or satellite to nationa)fjt 2236 1426 14 0 (l)fjt 300 1368 1864 15 (time standards in the U.S. and Canada. About half of these are connected directly to internati)fjt 2164 1368 86 0 (onal)fjt 300 1309 1911 13 (backbone networks and are intended for ubiquitous access, while the remainder are connected )fjt 2211 1309 39 0 (to)fjt 300 1251 1837 15 (regional networks and intended for regional and local access. It is estimated that there are wel)fjt 2137 1251 113 1 (l over)fjt 300 1193 1950 14 (2000 secondary servers in North America, Europe and the Pacific synchronized by NTP directly or)fjt 300 1135 692 4 (indirectly to these primary servers.)fjt 300 1029 1881 12 (This paper describes several large scale experiments designed to evaluate the availability, accur)fjt 2181 1029 69 0 (acy)fjt 300 971 1902 15 (and reliability of standard time distribution using NTP and the hosts and gateways of the Intern)fjt 2202 971 48 0 (et.)fjt 300 912 1892 17 (The first is designed to locate hosts that support at least one of three time protocols specified )fjt 2192 912 58 0 (for)fjt 300 854 1787 14 (use in the Internet, including NTP. Since Internet hosts are not centrally administered and )fjt 2087 854 163 0 (network)fjt 300 796 1848 14 (time is not a required service in the TCP/IP protocol suite, experimental determination is the)fjt 2148 796 102 1 ( only)fjt 300 738 1779 14 (practical way to estimate the penetration of time service in the Internet. The remaining exp)fjt 2079 738 171 0 (eriments)fjt 300 679 1950 17 (use only NTP and are designed to assess the nominals and extremes in various types of errors that)fjt 300 621 1902 14 (occur in regular system operation, including those due to the network paths between the serve)fjt 2202 621 48 0 (rs,)fjt 300 563 1692 13 (the radio propagation path to the source of synchronization and the radio clock itself.)fjt 300 457 1903 17 (This paper does not describe in detail the architecture or protocols of NTP, nor does it present t)fjt 2203 457 47 0 (he)fjt 300 399 1786 11 (rationale for the particular choice of synchronization method and statistical processing alg)fjt 2086 399 165 0 (orithms.)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset -75 3374 2624 3374 2624 2825 -75 2825 np mto lto lto lto clip np /tface 4 def 4 encfont colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 2979 227 1 (RFC 1128)fjt 805 2979 941 5 (Performance of the Network Time Protocol)fjt 1948 2979 302 1 (October 1989)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset -75 474 2624 474 2624 -75 -75 -75 np mto lto lto lto clip np /tface 4 def colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 279 100 0 (Mills)fjt 2092 279 158 1 (Page 1)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np %End page showpage svobj restore gr gs /svobj save def %Begin page UserSoP greset -75 3374 2624 3374 2624 -75 -75 -75 np mto lto lto lto clip np /tface 8 def 8 encfont colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 2841 1950 13 (Further information on the background, model and algorithms can be found in [MIL89a], while)fjt 300 2782 1471 11 (details of the latest NTP protocol specification can be found in [MIL89b].)fjt /tface 5 def 5 encfont sf 300 2676 83 0 (1.1.)fjt (n)29 (o)13 (i)15 (t)27 (a)30 (n)12 (i)44 (m)26 (e)27 (s)27 (s)13 (i)35 (D)12 ( )27 (y)27 (c)29 (n)27 (e)30 (u)29 (q)27 (e)18 (r)30 (F)12 ( )30 (d)29 (n)27 (a)13 ( )27 (e)43 (m)13 (i)28 (T)13 ( )30 (d)18 (r)27 (a)29 (d)30 (n)26 (a)16 (t)32 (S)13 ( )0 42 383 2676 fet /tface 8 def sf 300 2571 1853 14 (In order that atomic and civil time can be coordinated throughout the world, national administra)fjt 2153 2571 97 0 (tions)fjt 300 2512 1950 12 (operate primary time and frequency standards and maintain Coordinated Universal Time \(UTC\) by)fjt 300 2454 1887 13 (observing various radio broadcasts and through occasional use of portable atomic clocks. A prim)fjt 2187 2454 64 0 (ary)fjt 300 2396 1829 11 (frequency standard is an oscillator that can maintain extremely precise frequency relativ)fjt 2129 2396 121 2 (e to a)fjt 300 2338 1854 14 (physical phenomenon, such as a transition in the orbital states of an electron. Presently avai)fjt 2154 2338 97 0 (lable)fjt 300 2279 1912 15 (atomic oscillators are based on the transitions of the hydrogen, cesium and rubidium atoms and a)fjt 2212 2279 39 0 (re)fjt 300 2221 929 6 (capable of maintaining UTC frequency to 10)fjt /txscale 1000 3 mul 72 div def /tyscale 1000 3 mul 72 div def sf 1229 2245 55 0 (-13)fjt /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def sf 1284 2221 966 9 ( and time to 100 ns when operated in multiple)fjt 300 2163 1047 5 (ensembles at various national standards laboratories.)fjt 300 2040 1950 13 (The U.S. National Institute of Standards and Technology \(NIST - formerly National Bureau of)fjt 300 1982 1925 12 (Standards\) operates three radio services for the dissemination of standard time and frequenc)fjt 2225 1982 25 0 (y)fjt 300 1923 1950 13 (information [NBS79]. One of these uses high-frequency \(HF or CCIR band 7\) transmissions from)fjt 300 1865 1950 13 (Fort Collins, CO \(WWV\), and Kauai, HI \(WWVH\). Signal propagation is usually by reflection)fjt 300 1807 1950 14 (from the upper ionospheric layers, which vary in height and composition throughout the day and)fjt 300 1749 1909 14 (season and result in unpredictable delay variations at the receiver \(see Section 3.2\). While the)fjt 2209 1749 41 0 (se)fjt 300 1690 1931 14 (services and those operated by the National Research Council of Canada \(CHU\) and other countrie)fjt 2231 1690 19 0 (s)fjt 300 1632 1925 16 (can be received over large areas of the world, reliable frequency comparisons can be made only t)fjt 2225 1632 25 0 (o)fjt 300 1574 295 3 (the order of 10)fjt /txscale 1000 3 mul 72 div def /tyscale 1000 3 mul 72 div def sf 595 1598 35 0 (-7)fjt /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def sf 629 1574 1413 12 ( and time accuracies are limited to the order of a millisecond [BLA74].)fjt 300 1451 1950 15 (A second service operated by NIST is the low-frequency \(LF or CCIR band 5\) transmissions from)fjt 300 1392 1950 14 (Boulder, CO \(WWVB\), which can be received over the continental U.S. and adjacent coastal areas.)fjt 300 1334 1950 13 (Signal propagation is via the lower ionospheric layers, which are relatively stable and have)fjt 300 1276 1823 10 (predictable diurnal variations in height. With appropriate receiving and averaging techniqu)fjt 2123 1276 127 1 (es and)fjt 300 1218 1824 11 (corrections for diurnal and seasonal propagation effects, frequency comparisons to within 10)fjt /txscale 1000 3 mul 72 div def /tyscale 1000 3 mul 72 div def sf 2124 1242 55 0 (-11)fjt /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def sf 2179 1218 71 1 ( are)fjt 300 1159 1950 15 (possible and time accuracies of from a few to 50 microseconds can be obtained [BLA74]. However,)fjt 300 1101 1260 11 (there is only one station and it operates at modest power levels.)fjt 300 978 1950 14 (The third service operated by NIST uses ultra-high frequency \(UHF or CCIR band 9\) transmissions)fjt 300 920 1950 11 (from the Geosynchronous Orbiting Environmental Satellite \(GOES\). There is some speculation on)fjt 300 862 1950 12 (the continued operation of GOES, especially if the LORAN-C [FRA82] and Global Positioning)fjt 300 803 1928 12 (System \(GPS\) [BES82] radiopositioning systems operated by other U.S. agencies continue to evolv)fjt 2228 803 22 0 (e)fjt 300 745 1950 13 (as expected. While the OMEGA [VAS78] radionavigation system operated by the U.S. Navy and)fjt 300 687 1843 12 (other countries can in principle provide worldwide frequency and time distribution, this syst)fjt 2143 687 107 1 (em is)fjt 300 629 1203 8 (unlikely to long survive the operational deployment of GPS.)fjt /tface 5 def sf 300 504 83 0 (1.2.)fjt (l)29 (o)27 (c)30 (o)15 (t)30 (o)18 (r)32 (P)13 ( )27 (e)43 (m)13 (i)28 (T)13 ( )27 (k)18 (r)30 (o)37 (w)16 (t)27 (e)35 (N)12 ( )27 (e)30 (h)29 (T)13 ( )0 26 383 504 fet /tface 8 def sf 300 399 1501 9 (An accurate, reliable time distribution protocol must provide the following:)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset -75 3374 2624 3374 2624 2825 -75 2825 np mto lto lto lto clip np /tface 4 def 4 encfont colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 2979 227 1 (RFC 1128)fjt 805 2979 941 5 (Performance of the Network Time Protocol)fjt 1948 2979 302 1 (October 1989)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset -75 474 2624 474 2624 -75 -75 -75 np mto lto lto lto clip np /tface 4 def colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 279 100 0 (Mills)fjt 2092 279 158 1 (Page 2)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np %End page showpage svobj restore gr gs /svobj save def %Begin page UserSoP greset -75 3374 2624 3374 2624 -75 -75 -75 np mto lto lto lto clip np /tface 8 def 8 encfont colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 2839 38 0 (1.)fjt 375 2839 1875 13 (The primary time reference source\(s\) must be synchronized to national standards by wire, radio)fjt 375 2781 1875 14 (or portable clock. The system of time servers and clients must deliver continuous local time)fjt 375 2722 1485 12 (based on UTC, even when leap seconds are inserted in the UTC timescale.)fjt 300 2628 38 0 (2.)fjt 375 2628 1839 13 (The time servers must provide accurate and precise time, even with relatively large statistic)fjt 2214 2628 36 0 (al)fjt 375 2569 1875 13 (delays on the transmission paths. This requires careful design of the data smoothing and)fjt 375 2511 1798 12 (deglitching algorithms, as well as an extremely stable local clock oscillator and synchroniza)fjt 2173 2511 78 0 (tion)fjt 375 2453 239 0 (mechanism.)fjt 300 2358 38 0 (3.)fjt 375 2358 1825 12 (The synchronization subnet must be reliable and survivable, even under unstable conditions a)fjt 2200 2358 50 0 (nd)fjt 375 2300 1875 15 (where connectivity may be lost for periods up to days. This requires redundant time servers and)fjt 375 2241 1740 10 (diverse transmission paths, as well as a dynamically reconfigurable subnet architecture.)fjt 300 2146 38 0 (4.)fjt 375 2146 1834 11 (The synchronization protocol must operate continuously and provide update information at rat)fjt 2209 2146 41 0 (es)fjt 375 2088 1856 11 (sufficient to compensate for the expected wander of the room-temperature crystal oscillator)fjt 2231 2088 19 0 (s)fjt 375 2030 1776 14 (used in ordinary computer systems. It must operate efficiently with large numbers of time se)fjt 2151 2030 99 0 (rvers)fjt 375 1972 1875 11 (and clients in continuous-polled and procedure-call modes and in multicast and point-to-point)fjt 375 1913 300 0 (configurations.)fjt 300 1818 38 0 (5.)fjt 375 1818 1875 13 (The system must operate with a spectrum of systems ranging from personal workstations to)fjt 375 1760 1875 11 (supercomputers, but make minimal demands on the operating system and supporting services.)fjt 375 1702 1831 11 (Time-server software and especially client software must be easily installed and configured.)fjt 300 1609 1903 14 (In NTP one or more primary time servers synchronize directly to external reference sources su)fjt 2203 1609 47 0 (ch)fjt 300 1551 1950 14 (as radio clocks. Secondary time servers synchronize to the primary servers and others in the)fjt 300 1492 1950 13 (configured subnet using NTP. Subnet peers calculate clock offset and delay between them using)fjt 300 1434 1950 14 (timestamps with 200 picosecond resolution exchanged at intervals of up to about 17 minutes. As)fjt 300 1376 1950 11 (explained in [MIL89a], the protocol uses a distributed Bellman-Ford algorithm [BER87] to)fjt 300 1318 1914 12 (construct minimum-weight spanning trees within the subnet based on hierarchical level and tot)fjt 2214 1318 36 0 (al)fjt 300 1259 766 5 (synchronization path delay to the root.)fjt 300 1166 1950 12 (Besides NTP, there are several protocols designed to distribute time in local-area networks,)fjt 300 1108 1950 10 (including the DAYTIME protocol [POS83a], TIME Protocol [POS83b], ICMP Timestamp message)fjt (e)39 (m)14 (i)14 (t)25 ( )19 (s)23 (e)14 (t)22 (a)17 (r)25 (o)26 (p)17 (r)25 (o)23 (c)25 (n)15 (i)25 ( )14 (l)25 (o)23 (c)25 (o)15 (t)25 (o)17 (r)26 (p)25 ( )25 (g)26 (n)14 (i)14 (t)26 (u)25 (o)17 (r)25 ( )37 (N)33 (C)37 (D)25 ( )22 (e)26 (h)31 (T)25 ( )13 (.)17 (])25 (1)26 (8)36 (U)29 (S)17 ([)25 ( )25 (n)26 (o)14 (i)14 (t)26 (p)25 (o)25 ( )26 (p)39 (m)22 (a)15 (t)19 (s)23 (e)39 (m)14 (i)31 (T)25 ( )29 (P)17 (I)25 ( )25 (d)26 (n)22 (a)25 ( )17 (])26 (1)25 (8)34 (R)36 (A)37 (D)17 ([)0 82 300 1050 fet 300 991 1950 12 (synchronization directly into the routing protocol using algorithms similar to NTP [MIL83]. The)fjt 300 933 529 4 (Unix 4.3bsd time daemon )fjt /tface 10 def 10 encfont sf 829 933 111 0 (timed)fjt /tface 8 def sf 939 933 1311 11 ( uses a single master-time daemon to measure offsets of a number)fjt 300 875 1950 14 (of slave hosts and send periodic corrections to them [GUS85]. However, these protocols do not)fjt 300 817 1846 11 (include engineered algorithms to compensate for the effects of statistical delay variation)fjt 2146 817 87 1 (s en)fjt 2234 817 17 0 (-)fjt 300 758 1928 12 (countered on wide-area networks and are unsuitable for precision time distribution throughout th)fjt 2228 758 22 0 (e)fjt 300 700 167 0 (Internet.)fjt /tface 5 def 5 encfont sf 300 606 83 0 (1.3.)fjt (y)26 (c)30 (n)27 (e)29 (u)30 (q)26 (e)19 (r)29 (F)13 ( )29 (d)30 (n)27 (a)12 ( )27 (e)43 (m)13 (i)29 (T)13 ( )29 (g)30 (n)12 (i)30 (n)13 (i)43 (m)18 (r)27 (e)15 (t)27 (e)35 (D)13 ( )0 31 383 606 fet /tface 8 def sf 300 516 1867 18 (In this paper to synchronize frequency means to adjust the clocks in the network to run at the s)fjt 2167 516 83 0 (ame)fjt 300 457 1911 17 (frequency, to synchronize time means to set the clocks so that all agree at a particular epoch wi)fjt 2211 457 39 0 (th)fjt 300 399 1950 14 (respect to UTC, as provided by national standards, and to synchronize clocks means to synchronize)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset -75 3374 2624 3374 2624 2825 -75 2825 np mto lto lto lto clip np /tface 4 def 4 encfont colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 2979 227 1 (RFC 1128)fjt 805 2979 941 5 (Performance of the Network Time Protocol)fjt 1948 2979 302 1 (October 1989)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset -75 474 2624 474 2624 -75 -75 -75 np mto lto lto lto clip np /tface 4 def colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 279 100 0 (Mills)fjt 2092 279 158 1 (Page 3)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np %End page showpage svobj restore gr gs /svobj save def %Begin page UserSoP greset -75 3374 2624 3374 2624 -75 -75 -75 np mto lto lto lto clip np /tface 8 def 8 encfont colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 2335 1950 13 (them in both frequency and time. A clock synchronization subnet operates by measuring clock)fjt 300 2277 1771 15 (offsets between the various peers in the subnet and so is vulnerable to statistical delay vari)fjt 2071 2277 180 1 (ations on)fjt 300 2219 1950 14 (the various transmission paths between them. In the Internet the paths involved can have wide)fjt 300 2160 1773 13 (variations in delay and reliability, while the routing algorithms can select landline or satell)fjt 2073 2160 178 1 (ite paths,)fjt 300 2102 1574 11 (public network or dedicated links or even suspend service without prior notice.)fjt 300 2011 1776 9 (In statistically noisy subnets accurate time synchronization requires carefully engineered)fjt 2076 2011 174 1 ( filtering)fjt 300 1953 1876 13 (and selection algorithms and the use of redundant resources and diverse transmission paths, w)fjt 2176 1953 75 0 (hile)fjt 300 1895 1876 10 (accurate frequency synchronization requires finely tuned oscillator tracking loops and mult)fjt 2176 1895 75 0 (iple)fjt 300 1837 1881 14 (phase comparisons over relatively long periods of time. For instance, while only a few comparis)fjt 2181 1837 69 0 (ons)fjt 300 1778 1821 17 (are usually adequate to resolve local time for an Internet host to within a few tens of millise)fjt 2121 1778 129 0 (conds,)fjt 300 1720 1934 16 (dozens of measurements over many hours are required to resolve frequency to within a few tens o)fjt 2234 1720 17 0 (f)fjt 300 1662 424 2 (milliseconds per day.)fjt 300 1567 1830 17 (In NTP the roundtrip delay and clock offset relative to a peer time server are calculated as fo)fjt 2130 1567 120 0 (llows.)fjt 300 1509 1565 13 (Number the times of sending and receiving NTP messages as shown in Figure 1)fjt 1865 1509 152 3 ( and let )fjt /tface 10 def 10 encfont sf 2018 1509 14 0 (i)fjt /tface 8 def sf 2031 1509 219 3 ( be an even)fjt 300 1451 279 2 (integer. Then )fjt /tface 10 def sf 579 1451 14 0 (t)fjt /txscale 1000 3 mul 72 div def /tyscale 1000 3 mul 72 div def sf 592 1446 12 0 (i)fjt /tface 8 def sf 604 1446 35 0 (-3)fjt /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def sf 638 1451 25 1 (, )fjt /tface 10 def sf 664 1451 14 0 (t)fjt /txscale 1000 3 mul 72 div def /tyscale 1000 3 mul 72 div def sf 677 1446 12 0 (i)fjt /tface 8 def sf 689 1446 35 0 (-2)fjt /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def sf 723 1451 25 1 (, )fjt /tface 10 def sf 749 1451 14 0 (t)fjt /txscale 1000 3 mul 72 div def /tyscale 1000 3 mul 72 div def sf 762 1446 12 0 (i)fjt /tface 8 def sf 774 1446 35 0 (-1)fjt /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def sf 808 1451 98 2 ( and )fjt /tface 10 def sf 906 1451 14 0 (t)fjt /txscale 1000 3 mul 72 div def /tyscale 1000 3 mul 72 div def sf 920 1446 12 0 (i)fjt /tface 8 def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def sf 931 1451 1319 12 ( are the contents of the four most recent timestamps as above. The)fjt 300 1392 318 2 (roundtrip delay )fjt /tface 10 def sf 618 1392 25 0 (d)fjt /txscale 1000 3 mul 72 div def /tyscale 1000 3 mul 72 div def sf 643 1387 12 0 (i)fjt /tface 8 def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def sf 655 1392 343 4 ( and clock offset )fjt /tface 10 def sf 998 1392 22 0 (c)fjt /txscale 1000 3 mul 72 div def /tyscale 1000 3 mul 72 div def sf 1020 1387 12 0 (i)fjt /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def sf 1031 1392 13 1 ( )fjt /tface 8 def sf 1044 1392 1018 9 (of the receiving host relative to the sending peer is:)fjt /tface 10 def sf (d)0 1 991 1298 fet /txscale 1000 3 mul 72 div def /tyscale 1000 3 mul 72 div def sf (i)0 1 1016 1292 fet /tface 8 def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def sf ( )0 1 1028 1298 fet /tface 12 def /mpf false def sf (=)0 1 1040 1298 fet /tface 8 def /mpf true def sf ( )0 1 1067 1298 fet /tface 12 def /mpf false def sf (\()0 1 1080 1298 fet /tface 10 def /mpf true def sf (t)0 1 1096 1298 fet /txscale 1000 3 mul 72 div def /tyscale 1000 3 mul 72 div def sf (i)0 1 1110 1292 fet /tface 8 def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def sf ( )0 1 1122 1298 fet /tface 12 def /mpf false def sf (-)0 1 1134 1298 fet /tface 8 def /mpf true def sf ( )0 1 1161 1298 fet /tface 10 def sf (t)0 1 1174 1298 fet /txscale 1000 3 mul 72 div def /tyscale 1000 3 mul 72 div def sf (i)0 1 1188 1292 fet /tface 12 def /mpf false def sf (-)0 1 1199 1292 fet /tface 8 def /mpf true def sf (3)0 1 1222 1292 fet /tface 12 def /mpf false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def sf (\))0 1 1243 1298 fet /tface 8 def /mpf true def sf ( )0 1 1259 1298 fet /tface 12 def /mpf false def sf (-)0 1 1272 1298 fet /tface 8 def /mpf true def sf ( )0 1 1299 1298 fet /tface 12 def /mpf false def sf (\()0 1 1311 1298 fet /tface 10 def /mpf true def sf (t)0 1 1328 1298 fet /txscale 1000 3 mul 72 div def /tyscale 1000 3 mul 72 div def sf (i)0 1 1342 1292 fet /tface 12 def /mpf false def sf (-)0 1 1353 1292 fet /tface 8 def /mpf true def sf (1)0 1 1376 1292 fet /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def sf ( )0 1 1397 1298 fet /tface 12 def /mpf false def sf (-)0 1 1409 1298 fet /tface 8 def /mpf true def sf ( )0 1 1436 1298 fet /tface 10 def sf (t)0 1 1449 1298 fet /txscale 1000 3 mul 72 div def /tyscale 1000 3 mul 72 div def sf (i)0 1 1463 1292 fet /tface 12 def /mpf false def sf (-)0 1 1474 1292 fet /tface 8 def /mpf true def sf (2)0 1 1497 1292 fet /tface 12 def /mpf false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def sf (\))0 1 1518 1298 fet /tface 8 def /mpf true def sf 1534 1298 25 1 ( ,)fjt /tface 10 def sf (c)0 1 990 1202 fet /txscale 1000 3 mul 72 div def /tyscale 1000 3 mul 72 div def sf (i)0 1 1012 1197 fet /tface 8 def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def sf ( )0 1 1023 1202 fet /tface 12 def /mpf false def sf (=)0 1 1036 1202 fet /tface 8 def /mpf true def sf ( )0 1 1063 1202 fet /tface 12 def /mpf false def sf (\()0 1 1078 1236 fet /tface 10 def /mpf true def sf (t)0 1 1095 1236 fet /txscale 1000 3 mul 72 div def /tyscale 1000 3 mul 72 div def sf (i)0 1 1109 1231 fet /tface 12 def /mpf false def sf (-)0 1 1120 1231 fet /tface 8 def /mpf true def sf (2)0 1 1143 1231 fet /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def sf ( )0 1 1164 1236 fet /tface 12 def /mpf false def sf (-)0 1 1176 1236 fet /tface 8 def /mpf true def sf ( )0 1 1203 1236 fet /tface 10 def sf (t)0 1 1216 1236 fet /txscale 1000 3 mul 72 div def /tyscale 1000 3 mul 72 div def sf (i)0 1 1230 1231 fet /tface 12 def /mpf false def sf (-)0 1 1241 1231 fet /tface 8 def /mpf true def sf (3)0 1 1264 1231 fet /tface 12 def /mpf false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def sf (\))0 1 1285 1236 fet /tface 8 def /mpf true def sf ( )0 1 1301 1236 fet /tface 12 def /mpf false def sf (+)0 1 1314 1236 fet /tface 8 def /mpf true def sf ( )0 1 1341 1236 fet /tface 12 def /mpf false def sf (\()0 1 1353 1236 fet /tface 10 def /mpf true def sf (t)0 1 1370 1236 fet /txscale 1000 3 mul 72 div def /tyscale 1000 3 mul 72 div def sf (i)0 1 1384 1231 fet /tface 12 def /mpf false def sf (-)0 1 1395 1231 fet /tface 8 def /mpf true def sf (1)0 1 1418 1231 fet /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def sf ( )0 1 1439 1236 fet /tface 12 def /mpf false def sf (-)0 1 1451 1236 fet /tface 8 def /mpf true def sf ( )0 1 1478 1236 fet /tface 10 def sf (t)0 1 1491 1236 fet /txscale 1000 3 mul 72 div def /tyscale 1000 3 mul 72 div def sf (i)0 1 1505 1231 fet /tface 12 def /mpf false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def sf (\))0 1 1516 1236 fet /tface 8 def /mpf true def sf (2)0 1 1293 1171 fet 1075 1221 1534 1221 1534 1220 1075 1220 fa gs eofill gr 1536 1202 25 1 ( .)fjt 300 1076 1950 13 (This method amounts to a continuously sampled, returnable-time system, which is used in some)fjt 300 1018 1950 14 (digital telephone networks [MIT80]. Among the advantages are that the order and timing of the)fjt 300 959 1909 12 (messages are unimportant and that reliable delivery is not required. Obviously, the accuraci)fjt 2209 959 41 0 (es)fjt 300 901 1887 13 (achievable depend upon the statistical properties of the outbound and inbound data paths. Furt)fjt 2187 901 64 0 (her)fjt 300 843 1950 14 (analysis and experimental results bearing on this issue can be found in [COL88], [MIL85a] and)fjt 300 785 212 0 ([MIL85b].)fjt 300 690 1889 14 (The computed offsets are first filtered to reduce stochastic noise and then evaluated to determ)fjt 2189 690 61 0 (ine)fjt 300 632 1838 13 (the most accurate and reliable selection among usually several peers. The filtered offsets fro)fjt 2138 632 113 1 (m the)fjt 300 574 1925 16 (selected peer are used to adjust the phase and frequency of the host clock, which is implemente)fjt 2225 574 25 0 (d)fjt 300 516 1911 10 (by an adaptive-parameter, first-order, phase-locked oscillator. The loop parameters are careful)fjt 2211 516 39 0 (ly)fjt 300 457 1845 15 (engineered to provide low frequency errors, so that the host clock will retain good accuracy d)fjt 2145 457 105 0 (uring)fjt 300 399 649 6 (subnet outages of a day or more.)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset 225 2974 2324 2974 2324 2443 225 2443 np mto lto lto lto clip np greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset 804 2944 1645 2944 1645 2478 804 2478 np mto lto lto lto clip np colmap 1 [0 0 0 ] put 1 sci 1100 2524 1 1100 2874 path stroke 1425 2524 1 1425 2874 path stroke false true[1100 2849 1425 2849 ]arrowline stroke true false[1100 2749 1425 2749 ]arrowline stroke false true[1100 2649 1425 2649 ]arrowline stroke true false[1100 2549 1425 2549 ]arrowline stroke 850 2649 dot greset 1350 2944 1574 2944 1574 2753 1350 2753 np mto lto lto lto clip np /tface 10 def colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 1445 2841 14 0 (t)fjt /tface 8 def /txscale 1000 3 mul 72 div def /tyscale 1000 3 mul 72 div def sf 1459 2836 21 0 (2)fjt greset 804 2944 1645 2944 1645 2478 804 2478 np mto lto lto lto clip np greset 1350 2874 1574 2874 1574 2653 1350 2653 np mto lto lto lto clip np /tface 10 def colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 1445 2741 14 0 (t)fjt /tface 8 def /txscale 1000 3 mul 72 div def /tyscale 1000 3 mul 72 div def sf 1459 2736 21 0 (3)fjt greset 804 2944 1645 2944 1645 2478 804 2478 np mto lto lto lto clip np greset 1350 2774 1574 2774 1574 2553 1350 2553 np mto lto lto lto clip np /tface 10 def colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 1445 2641 14 0 (t)fjt /tface 8 def /txscale 1000 3 mul 72 div def /tyscale 1000 3 mul 72 div def sf 1459 2636 21 0 (6)fjt greset 804 2944 1645 2944 1645 2478 804 2478 np mto lto lto lto clip np greset 1350 2674 1574 2674 1574 2478 1350 2478 np mto lto lto lto clip np /tface 10 def colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 1445 2541 14 0 (t)fjt /tface 8 def /txscale 1000 3 mul 72 div def /tyscale 1000 3 mul 72 div def sf 1459 2536 21 0 (7)fjt greset 804 2944 1645 2944 1645 2478 804 2478 np mto lto lto lto clip np greset 950 2944 1174 2944 1174 2753 950 2753 np mto lto lto lto clip np /tface 10 def colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 1045 2841 14 0 (t)fjt /tface 8 def /txscale 1000 3 mul 72 div def /tyscale 1000 3 mul 72 div def sf 1059 2836 21 0 (1)fjt greset 804 2944 1645 2944 1645 2478 804 2478 np mto lto lto lto clip np greset 950 2874 1174 2874 1174 2653 950 2653 np mto lto lto lto clip np /tface 10 def colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 1045 2741 14 0 (t)fjt /tface 8 def /txscale 1000 3 mul 72 div def /tyscale 1000 3 mul 72 div def sf 1059 2736 21 0 (4)fjt greset 804 2944 1645 2944 1645 2478 804 2478 np mto lto lto lto clip np greset 950 2774 1174 2774 1174 2553 950 2553 np mto lto lto lto clip np /tface 10 def colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 1045 2641 14 0 (t)fjt /tface 8 def /txscale 1000 3 mul 72 div def /tyscale 1000 3 mul 72 div def sf 1059 2636 21 0 (5)fjt greset 804 2944 1645 2944 1645 2478 804 2478 np mto lto lto lto clip np greset 950 2674 1174 2674 1174 2478 950 2478 np mto lto lto lto clip np /tface 10 def colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 1045 2541 14 0 (t)fjt /tface 8 def /txscale 1000 3 mul 72 div def /tyscale 1000 3 mul 72 div def sf 1059 2536 21 0 (8)fjt greset 804 2944 1645 2944 1645 2478 804 2478 np mto lto lto lto clip np greset 1400 2824 1645 2824 1645 2578 1400 2578 np mto lto lto lto clip np /tface 8 def colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 1494 2686 88 0 (Peer)fjt greset 804 2944 1645 2944 1645 2478 804 2478 np mto lto lto lto clip np greset 850 2824 1124 2824 1124 2578 850 2578 np mto lto lto lto clip np /tface 8 def colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 941 2686 94 0 (Host)fjt greset 804 2944 1645 2944 1645 2478 804 2478 np mto lto lto lto clip np greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset 225 2592 2324 2592 2324 2322 225 2322 np mto lto lto lto clip np /tface 8 def colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 888 2434 774 5 (Figure 1. Calculating Delay and Offset)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset -75 3374 2624 3374 2624 2825 -75 2825 np mto lto lto lto clip np /tface 4 def 4 encfont colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 2979 227 1 (RFC 1128)fjt 805 2979 941 5 (Performance of the Network Time Protocol)fjt 1948 2979 302 1 (October 1989)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset -75 474 2624 474 2624 -75 -75 -75 np mto lto lto lto clip np /tface 4 def colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 279 100 0 (Mills)fjt 2092 279 158 1 (Page 4)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np %End page showpage svobj restore gr gs /svobj save def %Begin page UserSoP greset -75 3374 2624 3374 2624 -75 -75 -75 np mto lto lto lto clip np /tface 5 def 5 encfont colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 2443 42 0 (2.)fjt (s)18 (r)27 (e)12 (l)13 (l)27 (e)15 (t)27 (e)43 (m)13 (i)29 (T)13 ( )15 (t)27 (e)29 (n)19 (r)26 (e)16 (t)29 (n)13 (I)13 ( )29 (g)30 (n)13 (i)18 (r)27 (e)26 (v)30 (o)27 (c)26 (s)13 (i)35 (D)13 ( )0 33 350 2443 fet /tface 8 def 8 encfont sf 300 2347 1920 13 (An experiment designed to discover Internet time-serving hosts and evaluate the quality of the)fjt 2220 2347 30 0 (ir)fjt 300 2288 1892 14 (indications was conducted over a nine-day interval in August 1989. This experiment is an upd)fjt 2192 2288 58 0 (ate)fjt 300 2230 1925 13 (of previous experiments conducted in 1985 [MIL85b] and early 1988 [MIL88a]. It involved sendin)fjt 2225 2230 25 0 (g)fjt 300 2172 1950 12 (time-request messages in each of three time distribution protocols, ICMP Timestamp, TIME and)fjt 300 2114 1830 14 (NTP, to every Internet address that could reasonably be associated with a working host. Previ)fjt 2130 2114 121 0 (ously,)fjt 300 2055 1950 14 (lists of such addresses were derived from the Internet host table maintained by the Network)fjt 300 1997 1850 13 (Information Center \(NIC\) at SRI International and widely known as the file "hosts.txt". The)fjt 2150 1997 100 1 ( NIC)fjt 300 1939 1682 13 (host table as of 10 August 1989 contained 6382 distinct host and gateway addresses.)fjt 300 1833 1867 14 (With the proliferation of the Internet domain-name system used to resolve host addresses from )fjt 2167 1833 83 0 (host)fjt 300 1775 1909 14 (names [MOC87], the NIC host table has become increasingly inadequate as a discovery vehicle f)fjt 2209 1775 42 0 (or)fjt 300 1717 1950 13 (working host addresses. In a comprehensive survey of the domain-name system, Mark Lotter of)fjt 300 1659 1799 13 (SRI International recently compiled a revised host table of 137,484 entries. Each entry inclu)fjt 2099 1659 151 1 (des two)fjt 300 1600 1802 15 (lists, one containing the Internet addresses of a single host or gateway and the other contai)fjt 2102 1600 148 1 (ning its)fjt 300 1542 1950 13 (associated domain names. For the experiment this 9.4-megabyte table was sorted by address and)fjt 300 1484 1754 11 (extraneous information deleted, such as entries containing missing or invalid addresses, t)fjt 2054 1484 197 1 (o produce)fjt 300 1426 640 5 (a control file of 112,370 entries.)fjt 300 1320 1867 15 (The experiment itself was conducted with the aid of the control file and a specially constru)fjt 2167 1320 83 0 (cted)fjt 300 1262 1903 12 (experiment program written for the Fuzzball operating system [MIL88b]. The data were collect)fjt 2203 1262 47 0 (ed)fjt 300 1204 1934 14 (using experiment hosts located at the University of Delaware and connected to the University o)fjt 2234 1204 17 0 (f)fjt 300 1145 1950 12 (Delaware campus network and SURA regional network. The experiment program reads each entry)fjt 300 1087 1817 15 (from the control file in turn and sends time-request messages to the first Internet address fo)fjt 2117 1087 133 1 (und. If)fjt 300 1029 1950 17 (no reply is received after one second, the program tries again. If no reply is received after an)fjt 300 971 1847 15 (additional second, the program abandons the attempt and moves to the next entry in the contro)fjt 2147 971 103 1 (l file.)fjt 300 912 1950 16 (The program accumulates error messages and sample data for up to eight samples in each of the)fjt 300 854 1950 15 (three time protocols. It abandons a host upon receipt of an ICMP error message [DAR81] and)fjt 300 796 1950 13 (abandons further hosts on the same network upon receipt of an ICMP net-unreachable message.)fjt 300 738 1883 14 (Using this procedure, attempts were made to read the clock for 107,799 distinct host addresses)fjt 2183 738 13 0 (.)fjt 300 632 1831 17 (In the first series of experiments the clock offsets were measured for each of the three time pro)fjt 2131 632 119 0 (tocols)fjt 300 574 1950 15 (relative to the experiment host local clock, which is synchronized via radio to NBS standards to)fjt 300 516 1950 15 (within a few milliseconds \(see below\). The maximum, minimum and mean offset for up to eight)fjt 300 457 1864 17 (replies in each protocol was computed and written to a statistics file. It can happen that more )fjt 2164 457 86 0 (than)fjt 300 399 1865 15 (one reply is received for a single time-request message if the roundtrip interval is longer than)fjt 2165 399 85 1 ( one)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset 225 2974 2324 2974 2324 2559 225 2559 np mto lto lto lto clip np 651 2829 1900 2829 1900 2827 651 2827 fa colmap 1 [0 0 0 ] put 1 sci gs eofill gr 650 2899 1901 2899 1901 2898 650 2898 fa gs eofill gr 650 2637 1901 2637 1901 2638 650 2638 fa gs eofill gr 650 2899 651 2899 651 2637 650 2637 fa gs eofill gr 1901 2899 1900 2899 1900 2637 1901 2637 fa gs eofill gr /tface 8 def /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 676 2838 169 0 (Protocol)fjt 925 2838 111 0 (Valid)fjt 1175 2838 169 0 (Timeout)fjt 1425 2838 105 0 (Error)fjt 1675 2838 197 0 (Unknown)fjt 676 2768 122 0 (ICMP)fjt 925 2768 125 0 (11533)fjt 1175 2768 125 0 (61343)fjt 1425 2768 75 0 (265)fjt 1675 2768 75 0 (532)fjt 676 2708 122 0 (TIME)fjt 925 2708 100 0 (8441)fjt 1175 2708 100 0 (1400)fjt 1425 2708 100 0 (2293)fjt 1675 2708 47 0 (na)fjt 676 2648 94 0 (NTP)fjt 925 2648 75 0 (784)fjt 1175 2648 75 0 (713)fjt 1425 2648 100 0 (6956)fjt 1675 2648 47 0 (na)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset 225 2708 2324 2708 2324 2435 225 2435 np mto lto lto lto clip np /tface 8 def colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 902 2550 747 5 (Table 1. Time Responses by Protocol)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset -75 3374 2624 3374 2624 2825 -75 2825 np mto lto lto lto clip np /tface 4 def 4 encfont colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 2979 227 1 (RFC 1128)fjt 805 2979 941 5 (Performance of the Network Time Protocol)fjt 1948 2979 302 1 (October 1989)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset -75 474 2624 474 2624 -75 -75 -75 np mto lto lto lto clip np /tface 4 def colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 279 100 0 (Mills)fjt 2092 279 158 1 (Page 5)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np %End page showpage svobj restore gr gs /svobj save def %Begin page UserSoP greset -75 3374 2624 3374 2624 -75 -75 -75 np mto lto lto lto clip np /tface 8 def 8 encfont colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 1797 1931 17 (second, in which case only the first reply is counted. The inherent design of all three protocols i)fjt 2231 1797 19 0 (s)fjt 300 1739 646 3 (resistant to message duplication.)fjt 300 1652 1887 13 (The resulting raw statistics file was then cleaned to remove miscellaneous and unrelated comm)fjt 2187 1652 47 0 (en)fjt 2234 1652 17 0 (-)fjt 300 1594 1846 11 (tary, including occasional duplicates resulting from multiple occurrences of the same name)fjt 2146 1594 104 1 ( with)fjt 300 1535 1881 12 (different addresses. The resulting file contains valid responses, ICMP error messages of vari)fjt 2181 1535 69 0 (ous)fjt 300 1477 1715 13 (kinds, timeout messages and other error indications. In the tabulation shown in Table 1)fjt 2015 1477 235 2 ( the timeout)fjt 300 1419 1950 15 (column shows the number of occasions when no reply was received, while the error column shows)fjt 300 1361 1950 10 (the error messages received, including ICMP time-exceeded, ICMP host-unreachable and ICMP)fjt 300 1302 1950 10 (port-unreachable messages. The unknown column tabulates occurrences of a specially marked)fjt (a)25 ( )22 (e)25 (v)22 (a)25 (h)25 ( )14 (t)25 (o)25 (n)25 ( )19 (s)22 (e)25 (o)25 (d)25 ( )14 (t)25 (u)25 (b)25 ( )13 (,)14 (l)25 (o)22 (c)25 (o)14 (t)26 (o)16 (r)26 (p)25 ( )22 (e)25 (h)14 (t)25 ( )20 (s)14 (t)16 (r)26 (o)25 (p)25 (p)25 (u)20 (s)25 ( )14 (t)19 (s)26 (o)25 (h)25 ( )22 (e)25 (h)14 (t)25 ( )20 (s)22 (e)14 (t)22 (a)23 (c)14 (i)25 (d)25 (n)14 (i)25 ( )14 (t)22 (a)26 (h)14 (t)25 ( )25 (y)14 (l)25 (p)22 (e)17 (r)25 ( )25 (p)39 (m)23 (a)14 (t)19 (s)22 (e)39 (m)14 (i)31 (T)25 ( )28 (P)45 (M)33 (C)17 (I)0 87 300 1244 fet 300 1186 646 2 (synchronized time-of-day clock.)fjt 300 1098 1950 16 (In summary, of the 107,799 host addresses surveyed, 94,260 resulted in some kind of entry in the)fjt 300 1040 1950 13 (statistics file. Of these 20,758 hosts \(22%\) were successful in returning an apparently valid)fjt 300 982 1931 18 (indication. Note that there may be more than one attempt to read a host clock and that some clock)fjt 2231 982 19 0 (s)fjt 300 924 804 6 (were read using more than one protocol.)fjt 300 836 1903 15 (Then, the list of 20,758 apparently valid responses was processed to remove all entries except t)fjt 2203 836 47 0 (he)fjt 300 778 1806 17 (first for each address and protocol. In addition, if a host replied to an NTP request, all other)fjt 2106 778 144 1 ( entries)fjt 300 720 1950 20 (for that host were deleted, while, if a host did not reply to an NTP request, but did for a TIME)fjt 300 661 1798 18 (request, all other entries for that host were deleted. This results in a list of 8455 hosts which p)fjt 2098 661 152 0 (rovided)fjt 300 603 1950 15 (an apparently valid time indication, 3694 for ICMP Timestamp, 7666 for TIME and 789 for NTP.)fjt 300 516 1950 15 (In order to discover as many NTP hosts as possible, the NTP synchronization subnet operating in)fjt 300 457 1925 13 (the Internet was searched starting from the known primary servers using the Unix NTP-monitorin)fjt 2225 457 25 0 (g)fjt 300 399 192 1 (program )fjt /tface 10 def 10 encfont sf 492 399 111 0 (ntpdc)fjt /tface 8 def sf 603 399 632 5 ( and its Fuzzball counterpart )fjt /tface 10 def sf 1234 399 127 0 (netspy)fjt /tface 8 def sf 1361 399 889 7 (. This search, together with the 789 hosts)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset 225 2979 2324 2979 2324 1924 225 1924 np mto lto lto lto clip np greset 75 3129 2475 3129 2475 1773 75 1773 np mto lto lto lto clip np svobj restore gr gs /svobj save def 657 2904 657 1998 1892 1998 1892 2904 np mto lto lto lto clip np 657 1998 translate 300 72 div dup scale 1236 300 div 541 72 div div 907 300 div 397 72 div div scale -36 -180 translate %%BeginFile: C:\TYPESET\PAPERS\GLO2.EPS %!PS-Adobe-2.0 EPSF 2.0 %%BoundingBox: 36 180 576 576 %%DocumentFonts: Helvetica-Bold Symbol %%EndComments /$Sdict 25 dict def $Sdict begin % variables /basesize 180 def /oldcex 1 def /cex 1 def /ratio 1 def /pch (*) def /coffset basesize -0.345 mul def % vertical offset for characters /pcxshift 0 def % procedures /checksize % adjust font size if needed. Stack: cex { /cex exch def oldcex cex ne % scale sizes { /ratio cex oldcex div def /TextFont TextFont ratio scalefont def /PchFont PchFont ratio scalefont def /coffset coffset ratio mul def /oldcex cex def } if } def /Pchar % the plot character. Stack: string cex { checksize /pch exch def pch (.) eq % replace period by bullet { (\267) pch copy pop } if pch (,) eq % replace comma by middot { (\264) pch copy pop } if /PchFont TextFont def pch (*) eq pch (+) eq or % switch to symbol font for these characters { /PchFont /Symbol findfont basesize oldcex mul scalefont def } if PchFont setfont pch stringwidth pop neg 2 div /pcxshift exch def } def /M {moveto} def % move to a point. Stack: x y /L {lineto} def % line to a point. Stack: x y /S {stroke} def /P % plot a character at a point. Stack: x y { M % move to the point pcxshift coffset rmoveto % offset for the character pch show } def /T % show a text string. Stack: adj srot cex x y string { /str exch def M % move to the point (pops x and y) checksize % change size if necessary (pops cex) TextFont setfont dup rotate exch % (moves adj to top) str stringwidth pop neg mul % pops adj coffset rmoveto str show neg rotate } def /Sub %add a subscript. Stack: string srot { oldcex 0.75 mul checksize TextFont setfont dup rotate oldcex -0.5 mul basesize mul 0 exch rmoveto exch show oldcex 0.5 mul basesize mul 0 exch rmoveto neg rotate oldcex 4 3 div mul checksize TextFont setfont } def /Sup %add a superscript. Stack: string srot { oldcex 0.75 mul checksize TextFont setfont dup rotate oldcex 0.5 mul basesize mul 0 exch rmoveto exch show oldcex -0.5 mul basesize mul 0 exch rmoveto neg rotate oldcex 4 3 div mul checksize TextFont setfont } def /F % change the base font. Stack: fontname { /TextFont exch findfont basesize oldcex mul scalefont def /PchFont TextFont def } def /ST % text in Symbol font. 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4491 L 4987 4489 L 4987 4487 L 4987 4485 L 4987 4483 L 4987 4481 L 4987 4479 L 4987 4477 L 4988 4475 L 4989 4473 L 4990 4470 L 4990 4468 L 4990 4466 L 4993 4464 L 4993 4462 L 4994 4460 L 4994 4458 L 4994 4455 L 4994 4453 L 4997 4451 L 4997 4449 L 4997 4446 L 4997 4444 L 4997 4442 L 4998 4440 L 4998 4437 L 4998 4435 L 4998 4433 L 4998 4430 L 4998 4428 L 4998 4425 L 4998 4423 L 4998 4421 L 4999 4418 L 4999 4416 L 4999 4413 L 4999 4411 L 4999 4408 L 4999 4405 L 5000 4403 L 5001 4400 L 5003 4398 L 5004 4395 L 5005 4392 L 5006 4390 L 5008 4387 L 5008 4384 L 5008 4381 L 5009 4379 L 5009 4376 L 5009 4373 L 5009 4370 L 5009 4367 L 5009 4364 L 5009 4361 L 5009 4358 L 5009 4355 L 5009 4352 L 5009 4349 L 5009 4346 L 5009 4343 L 5009 4340 L 5009 4337 L 5009 4333 L 5009 4330 L 5009 4327 L 5009 4323 L 5009 4320 L 5009 4317 L 5009 4313 L 5009 4310 L 5009 4306 L 5009 4303 L 5009 4299 L 5009 4295 L 5009 4292 L 5009 4288 L 5009 4284 L 5009 4280 L 5009 4277 L 5009 4273 L 5010 4269 L 5010 4265 L 5010 4261 L 5010 4257 L 5010 4252 L 5010 4248 L 5010 4244 L 5010 4239 L 5010 4235 L 5010 4231 L 5011 4226 L 5012 4222 L 5015 4217 L 5015 4212 L 5015 4207 L 5016 4202 L 5016 4197 L 5016 4192 L 5016 4187 L 5017 4182 L 5017 4177 L 5017 4171 L 5019 4166 L 5021 4160 L 5022 4155 L 5023 4149 L 5023 4143 L 5023 4137 L 5023 4131 L 5028 4125 L 5028 4118 L 5030 4112 L 5030 4105 L 5031 4099 L 5034 4092 L 5034 4085 L 5034 4077 L 5034 4070 L 5034 4062 L 5034 4055 L 5035 4047 L 5040 4038 L 5040 4030 L 5045 4021 L 5045 4013 L 5046 4003 L 5047 3994 L 5047 3984 L 5047 3974 L 5048 3964 L 5048 3953 L 5048 3942 L 5048 3931 L 5048 3919 L 5304 3907 L 5335 3894 L 5335 3880 L 5385 3866 L S grestore gsave newpath 357 1797 M 5763 1797 L 5763 6123 L 357 6123 L closepath clip newpath [] 0 setdash 5 setlinewidth 0 setgray 0.5 0 1.5 3199 5931 (rank.ix rank.ux rank.nx) T 0.5 0 1 3199 2023 (Offset \(sec\)) T 0.5 90 1 443 4030 (Prob \(%\)) T 973 2514 M 973 2574 L S 1468 2514 M 1468 2574 L S 1962 2514 M 1962 2574 L S 2457 2514 M 2457 2574 L S 2952 2514 M 2952 2574 L S 3447 2514 M 3447 2574 L S 3942 2514 M 3942 2574 L S 4437 2514 M 4437 2574 L S 4931 2514 M 4931 2574 L S 5426 2514 M 5426 2574 L S 973 2514 M 5426 2514 L S 0.5 0 1 973 2303 (0.001) T 0.5 0 1 1468 2303 (0.01) T 0.5 0 1 1962 2303 (0.1) T 0.5 0 1 2457 2303 (1) T 0.5 0 1 2952 2303 (10) T 0.5 0 1 3447 2303 (100) T 0.5 0 1 3942 2303 (1000) T 0.5 0 1 4437 2303 (10000) T 0.5 0 1 5426 2303 (1) T 0.5 0 1 5426 2163 (e6) T 933 2580 M 994 2580 L S 933 3305 M 994 3305 L S 933 4030 M 994 4030 L S 933 4754 M 994 4754 L S 933 5479 M 994 5479 L S 933 2580 M 933 5479 L S 0.5 90 1 723 2580 (0.01) T 0.5 90 1 723 3305 (0.1) T 0.5 90 1 723 4030 (1) T 0.5 90 1 723 4754 (10) T 0.5 90 1 723 5479 (100) T grestore gsave newpath 930 2511 M 5469 2511 L 5469 5549 L 930 5549 L closepath clip newpath [] 0 setdash 5 setlinewidth 0 setgray 933 5545 M 933 2514 L 5465 2514 L 5465 5545 L 933 5545 L S 1059 5479 M 1060 5479 L 1844 5479 L 1986 5478 L 1988 5478 L 2003 5478 L 2023 5478 L 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3653 4962 L 3654 4961 L 3656 4961 L 3656 4960 L 3657 4960 L 3657 4959 L 3658 4958 L 3659 4958 L 3659 4957 L 3659 4956 L 3660 4956 L 3661 4956 L 3661 4955 L 3661 4954 L 3662 4954 L 3662 4953 L 3663 4953 L 3664 4952 L 3665 4951 L 3665 4950 L 3666 4949 L 3666 4948 L 3667 4948 L 3667 4947 L 3668 4947 L 3668 4946 L 3669 4946 L 3669 4945 L 3670 4945 L 3670 4944 L 3671 4944 L 3671 4943 L 3672 4943 L 3672 4942 L 3673 4941 L 3674 4940 L 3675 4939 L 3675 4938 L 3676 4938 L 3676 4937 L 3676 4936 L 3677 4936 L 3677 4935 L 3677 4934 L 3677 4933 L 3678 4933 L 3679 4932 L 3679 4931 L 3679 4930 L 3679 4929 L 3680 4928 L 3680 4927 L 3681 4927 L 3681 4926 L 3681 4925 L 3682 4925 L 3682 4924 L 3683 4924 L 3683 4923 L 3683 4922 L 3684 4921 L 3684 4920 L 3684 4919 L 3685 4919 L 3685 4918 L 3685 4917 L 3686 4917 L 3686 4916 L 3686 4915 L 3686 4914 L 3687 4914 L 3687 4913 L 3687 4912 L 3688 4911 L 3688 4910 L 3688 4909 L 3689 4909 L 3689 4908 L 3689 4907 L 3690 4907 L 3690 4906 L 3690 4905 L 3691 4905 L 3691 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4849 L 3726 4849 L 3726 4848 L 3727 4848 L 3727 4847 L 3728 4847 L 3728 4846 L 3728 4845 L 3729 4845 L 3729 4844 L 3730 4843 L 3731 4843 L 3731 4842 L 3732 4841 L 3733 4840 L 3733 4839 L 3734 4839 L 3734 4838 L 3735 4837 L 3736 4837 L 3736 4836 L 3737 4835 L 3737 4834 L 3737 4833 L 3738 4833 L 3738 4832 L 3738 4831 L 3739 4831 L 3739 4830 L 3739 4829 L 3739 4828 L 3740 4827 L 3740 4826 L 3740 4825 L 3741 4824 L 3741 4823 L 3741 4822 L 3741 4821 L 3742 4821 L 3742 4820 L 3743 4819 L 3743 4818 L 3743 4817 L 3744 4817 L 3744 4816 L 3744 4815 L 3745 4814 L 3745 4813 L 3746 4813 L 3746 4812 L 3746 4811 L 3747 4810 L 3748 4810 L 3748 4809 L 3749 4808 L 3749 4807 L 3749 4806 L 3750 4805 L 3750 4804 L 3751 4804 L 3751 4803 L 3751 4802 L 3752 4801 L 3753 4801 L 3753 4800 L 3754 4800 L 3755 4799 L 3756 4799 L 3756 4798 L 3757 4798 L 3757 4797 L 3758 4796 L 3759 4796 L 3759 4795 L 3760 4795 L 3762 4794 L 3762 4793 L 3762 4792 L 3762 4791 L 3763 4791 L 3764 4790 L 3764 4789 L 3764 4788 L 3764 4787 L 3764 4786 L 3764 4785 L 3764 4784 L 3764 4783 L 3764 4782 L 3764 4781 L 3764 4780 L 3764 4779 L 3764 4778 L 3765 4778 L 3765 4777 L 3766 4776 L 3767 4776 L 3767 4775 L 3768 4774 L 3769 4773 L 3770 4772 L 3770 4771 L 3771 4771 L 3772 4770 L 3774 4770 L 3774 4769 L 3774 4768 L 3774 4767 L 3775 4767 L 3775 4766 L 3775 4765 L 3776 4765 L 3776 4764 L 3776 4763 L 3776 4762 L 3777 4762 L 3777 4761 L 3778 4760 L 3778 4759 L 3779 4759 L 3780 4758 L 3781 4757 L 3781 4756 L 3781 4755 L 3782 4755 L 3782 4754 L 3783 4754 L 3783 4753 L 3784 4752 L 3784 4751 L 3785 4750 L 3785 4749 L 3786 4748 L 3787 4747 L 3788 4747 L 3788 4746 L 3788 4745 L 3789 4745 L 3789 4744 L 3789 4743 L 3790 4743 L 3790 4742 L 3791 4742 L 3791 4741 L 3791 4740 L 3792 4740 L 3792 4739 L 3792 4738 L 3793 4738 L 3793 4737 L 3794 4736 L 3795 4735 L 3795 4734 L 3796 4734 L 3796 4733 L 3796 4732 L 3797 4732 L 3797 4731 L 3797 4730 L 3797 4729 L 3798 4729 L 3799 4729 L 3799 4728 L 3799 4727 L 3800 4727 L 3801 4726 L 3802 4725 L 3803 4725 L 3803 4724 L 3804 4723 L 3804 4722 L 3804 4721 L 3804 4720 L 3805 4720 L 3807 4720 L 3807 4719 L 3808 4718 L 3808 4717 L 3808 4716 L 3809 4716 L 3810 4715 L 3810 4714 L 3811 4714 L 3811 4713 L 3812 4713 L 3812 4712 L 3813 4711 L 3814 4711 L 3814 4710 L 3815 4710 L S 3815 4710 M 3815 4709 L 3815 4708 L 3816 4708 L 3816 4707 L 3817 4706 L 3817 4705 L 3819 4705 L 3820 4704 L 3821 4703 L 3821 4702 L 3823 4702 L 3824 4701 L 3824 4700 L 3825 4700 L 3825 4699 L 3826 4699 L 3826 4698 L 3827 4697 L 3829 4697 L 3829 4696 L 3829 4695 L 3830 4695 L 3830 4694 L 3831 4694 L 3831 4693 L 3833 4692 L 3834 4691 L 3834 4690 L 3835 4690 L 3835 4689 L 3835 4688 L 3836 4687 L 3837 4686 L 3838 4685 L 3840 4684 L 3841 4683 L 3842 4683 L 3842 4682 L 3842 4681 L 3843 4681 L 3843 4680 L 3843 4679 L 3844 4679 L 3845 4678 L 3846 4677 L 3847 4677 L 3847 4676 L 3848 4676 L 3848 4675 L 3849 4674 L 3850 4674 L 3850 4673 L 3850 4672 L 3851 4671 L 3851 4670 L 3852 4670 L 3853 4669 L 3853 4668 L 3854 4668 L 3854 4667 L 3854 4666 L 3855 4665 L 3855 4664 L 3856 4664 L 3856 4663 L 3856 4662 L 3857 4662 L 3858 4661 L 3859 4660 L 3860 4659 L 3863 4659 L 3864 4658 L 3864 4657 L 3864 4656 L 3865 4656 L 3865 4655 L 3866 4654 L 3867 4654 L 3867 4653 L 3869 4652 L 3870 4652 L 3870 4651 L 3871 4650 L 3872 4650 L 3872 4649 L 3872 4648 L 3873 4647 L 3873 4646 L 3874 4646 L 3874 4645 L 3875 4644 L 3876 4643 L 3877 4643 L 3878 4642 L 3879 4641 L 3880 4641 L 3880 4640 L 3880 4639 L 3881 4638 L 3881 4637 L 3882 4637 L 3882 4636 L 3882 4635 L 3883 4634 L 3884 4633 L 3885 4633 L 3885 4632 L 3886 4631 L 3887 4630 L 3887 4629 L 3888 4629 L 3888 4628 L 3889 4627 L 3889 4626 L 3890 4625 L 3891 4625 L 3892 4624 L 3892 4623 L 3893 4623 L 3894 4622 L 3894 4621 L 3895 4621 L 3896 4620 L 3897 4619 L 3898 4618 L 3898 4617 L 3899 4616 L 3900 4615 L 3900 4614 L 3901 4614 L 3901 4613 L 3902 4613 L 3903 4612 L 3903 4611 L 3904 4610 L 3904 4609 L 3906 4609 L 3906 4608 L 3906 4607 L 3908 4606 L 3908 4605 L 3909 4605 L 3909 4604 L 3910 4603 L 3910 4602 L 3910 4601 L 3911 4601 L 3911 4600 L 3914 4599 L 3915 4599 L 3915 4598 L 3917 4597 L 3919 4597 L 3920 4596 L 3922 4595 L 3924 4595 L 3925 4594 L 3927 4593 L 3929 4592 L 3930 4591 L 3932 4590 L 3932 4589 L 3933 4589 L 3937 4588 L 3938 4587 L 3939 4586 L 3940 4585 L 3941 4584 L 3941 4583 L 3941 4582 L 3942 4581 L 3943 4581 L 3943 4580 L 3944 4579 L 3945 4579 L 3945 4578 L 3946 4577 L 3947 4576 L 3949 4576 L 3949 4575 L 3949 4574 L 3950 4574 L 3950 4573 L 3951 4572 L 3951 4571 L 3954 4571 L 3955 4570 L 3956 4569 L 3956 4568 L 3956 4567 L 3956 4566 L 3957 4565 L 3958 4564 L 3958 4563 L 3959 4562 L 3961 4561 L 3965 4560 L 3965 4559 L 3968 4559 L 3968 4558 L 3969 4557 L 3971 4556 L 3972 4556 L 3972 4555 L 3972 4554 L 3973 4553 L 3974 4552 L 3974 4551 L 3975 4550 L 3975 4549 L 3976 4549 L 3976 4548 L 3978 4547 L 3978 4546 L 3979 4545 L 3980 4545 L 3981 4544 L 3981 4543 L 3983 4542 L 3984 4541 L 3987 4541 L 3988 4540 L 3992 4539 L 3994 4538 L 3995 4537 L 3997 4537 L 3997 4536 L 3997 4535 L 3997 4534 L 3998 4533 L 3998 4532 L 3999 4532 L 4003 4531 L 4003 4530 L 4003 4529 L 4006 4528 L 4010 4527 L 4012 4526 L 4013 4525 L 4014 4524 L 4017 4523 L 4018 4522 L 4020 4521 L 4021 4520 L 4024 4519 L 4025 4518 L 4026 4517 L 4030 4516 L 4032 4515 L 4034 4514 L 4036 4513 L 4039 4512 L 4039 4511 L 4041 4510 L 4042 4509 L 4042 4508 L 4044 4507 L 4046 4506 L 4049 4506 L 4049 4505 L 4054 4504 L 4055 4503 L 4055 4502 L 4059 4501 L 4061 4500 L 4062 4499 L 4066 4498 L 4069 4497 L 4069 4496 L 4071 4495 L 4071 4494 L 4072 4494 L 4072 4493 L 4072 4492 L 4075 4491 L 4080 4490 L 4081 4489 L 4082 4488 L 4085 4487 L 4085 4486 L 4091 4485 L 4111 4484 L 4112 4483 L 4114 4482 L 4120 4481 L 4122 4480 L 4128 4479 L 4129 4478 L 4130 4477 L 4131 4476 L 4147 4475 L 4157 4474 L 4169 4473 L 4169 4472 L 4173 4471 L 4176 4470 L 4188 4469 L 4194 4468 L 4195 4467 L 4204 4466 L 4223 4465 L 4229 4464 L 4237 4463 L 4243 4462 L 4245 4461 L 4251 4460 L 4257 4459 L 4261 4458 L 4269 4457 L 4279 4456 L 4287 4455 L 4303 4454 L 4317 4452 L 4322 4451 L 4325 4450 L 4326 4449 L 4326 4448 L 4327 4447 L 4331 4446 L 4335 4445 L 4341 4444 L 4341 4443 L 4345 4442 L 4349 4440 L 4352 4439 L 4353 4438 L 4354 4437 L 4355 4436 L 4356 4435 L 4356 4434 L 4358 4433 L 4358 4431 L 4359 4430 L 4360 4429 L 4360 4428 L 4360 4427 L 4360 4426 L 4360 4425 L 4361 4423 L 4361 4422 L 4361 4421 L 4361 4420 L 4361 4419 L 4361 4417 L 4361 4416 L 4361 4415 L 4361 4414 L 4362 4413 L 4362 4411 L 4362 4410 L 4362 4409 L 4362 4408 L 4362 4406 L 4362 4405 L 4362 4404 L 4362 4403 L 4362 4401 L 4362 4400 L 4362 4399 L 4362 4398 L 4363 4396 L 4363 4395 L 4363 4394 L 4363 4393 L 4363 4391 L 4363 4390 L 4363 4389 L 4363 4387 L 4363 4386 L 4363 4385 L 4363 4383 L 4363 4382 L 4363 4381 L 4363 4379 L 4363 4378 L 4363 4377 L 4363 4375 L 4363 4374 L 4363 4372 L 4363 4371 L 4364 4370 L 4364 4368 L 4364 4367 L 4364 4365 L 4364 4364 L 4364 4363 L 4364 4361 L 4364 4360 L 4365 4358 L 4365 4357 L 4365 4355 L 4365 4354 L 4365 4353 L 4365 4351 L 4365 4350 L 4365 4348 L 4365 4347 L 4365 4345 L 4365 4344 L 4365 4342 L 4366 4341 L 4366 4339 L 4366 4337 L 4366 4336 L 4366 4334 L 4367 4333 L 4368 4331 L 4368 4330 L 4368 4328 L 4368 4326 L 4369 4325 L 4369 4323 L 4370 4322 L 4370 4320 L 4370 4318 L 4370 4317 L 4370 4315 L 4370 4313 L 4370 4312 L 4370 4310 L 4370 4308 L 4370 4307 L 4371 4305 L 4371 4303 L 4371 4302 L 4372 4300 L 4372 4298 L 4372 4296 L 4373 4295 L 4373 4293 L 4374 4291 L 4374 4289 L 4375 4287 L 4375 4286 L 4377 4284 L 4377 4282 L 4378 4280 L 4378 4278 L 4379 4276 L 4379 4275 L 4380 4273 L S 4380 4273 M 4382 4271 L 4386 4269 L 4387 4267 L 4388 4265 L 4388 4263 L 4411 4261 L 4413 4259 L 4414 4257 L 4445 4255 L 4458 4253 L 4474 4251 L 4475 4249 L 4489 4247 L 4491 4245 L 4496 4243 L 4500 4241 L 4503 4239 L 4506 4236 L 4509 4234 L 4509 4232 L 4510 4230 L 4510 4228 L 4511 4226 L 4511 4223 L 4513 4221 L 4513 4219 L 4513 4217 L 4513 4214 L 4514 4212 L 4515 4210 L 4515 4208 L 4516 4205 L 4519 4203 L 4526 4200 L 4528 4198 L 4529 4196 L 4544 4193 L 4549 4191 L 4556 4188 L 4566 4186 L 4583 4183 L 4588 4181 L 4594 4178 L 4595 4176 L 4596 4173 L 4597 4171 L 4598 4168 L 4598 4165 L 4600 4163 L 4600 4160 L 4600 4157 L 4601 4154 L 4601 4152 L 4601 4149 L 4601 4146 L 4601 4143 L 4601 4140 L 4602 4137 L 4602 4134 L 4602 4131 L 4602 4128 L 4604 4125 L 4604 4122 L 4604 4119 L 4605 4116 L 4605 4113 L 4607 4110 L 4607 4107 L 4607 4104 L 4609 4100 L 4610 4097 L 4638 4094 L 4660 4090 L 4661 4087 L 4665 4083 L 4675 4080 L 4689 4076 L 4708 4073 L 4710 4069 L 4711 4066 L 4749 4062 L 4750 4058 L 4756 4055 L 4757 4051 L 4777 4047 L 4783 4043 L 4784 4039 L 4785 4035 L 4789 4031 L 4789 4027 L 4801 4023 L 4811 4018 L 4811 4014 L 4812 4010 L 4837 4005 L 4838 4001 L 4860 3996 L 4863 3992 L 4864 3987 L 4877 3982 L 4881 3978 L 4890 3973 L 4898 3968 L 4900 3963 L 4920 3958 L 4933 3952 L 4953 3947 L 4959 3942 L 4963 3936 L 4973 3931 L 4981 3925 L 4991 3919 L 4994 3913 L 5025 3907 L 5041 3901 L 5044 3895 L 5049 3889 L 5049 3882 L 5049 3876 L 5066 3869 L 5136 3862 L 5143 3855 L 5193 3848 L 5194 3840 L 5195 3833 L 5198 3825 L 5198 3817 L 5245 3809 L 5251 3800 L 5255 3792 L 5285 3783 L 5298 3774 L 5302 3764 L 5307 3755 L 5330 3745 L 5334 3734 L 5334 3724 L 5358 3713 L 5367 3701 L 5376 3689 L 5376 3677 L 5376 3664 L 5376 3651 L 5376 3637 L 5376 3622 L 5376 3607 L 5386 3591 L 5387 3574 L 5407 3556 L S 973 5476 M 973 5476 L 973 5468 L 1122 5457 L 1209 5450 L 1209 5443 L 1271 5437 L 1271 5430 L 1319 5424 L 1319 5419 L 1358 5412 L 1391 5405 L 1391 5401 L 1420 5394 L 1445 5385 L 1468 5379 L 1468 5374 L 1488 5370 L 1488 5364 L 1507 5358 L 1507 5351 L 1524 5342 L 1540 5334 L 1540 5327 L 1555 5316 L 1569 5307 L 1569 5301 L 1582 5288 L 1594 5272 L 1606 5255 L 1617 5236 L S 1617 5236 M 1617 5236 L 1627 5222 L 1627 5211 L 1637 5191 L 1647 5178 L 1647 5169 L 1656 5151 L 1665 5139 L 1665 5125 L 1673 5105 L 1681 5095 L 1689 5092 L 1696 5088 L 1704 5084 L 1711 5078 L 1724 5072 L 1731 5070 L 1737 5067 L 1743 5064 L 1749 5061 L 1755 5058 L 1760 5055 L 1766 5052 L 1771 5050 L 1776 5047 L 1781 5046 L 1786 5043 L 1791 5040 L 1796 5037 L 1800 5033 L 1805 5031 L 1809 5029 L 1813 5027 L 1822 5025 L 1826 5022 L 1834 5018 L 1838 5015 L 1842 5012 L 1845 5011 L 1849 5009 L 1853 5008 L 1856 5006 L 1860 5004 L 1863 5002 L 1867 5000 L 1870 4997 L 1873 4996 L 1883 4994 L 1886 4990 L 1889 4983 L 1892 4978 L 1895 4973 L 1898 4968 L 1901 4963 L 1903 4961 L 1912 4958 L 1914 4956 L 1920 4955 L 1925 4952 L 1930 4949 L 1933 4946 L 1937 4944 L 1940 4941 L 1942 4938 L 1945 4937 L 1947 4935 L 1949 4933 L 1951 4931 L 1954 4928 L 1956 4925 L 1958 4923 L 1967 4920 L 1971 4917 L 1977 4915 L 1979 4912 L 1981 4909 L 1987 4907 L 1992 4905 L 1996 4903 L 2000 4900 L 2012 4896 L 2014 4892 L 2015 4888 L 2019 4886 L 2022 4884 L 2027 4879 L 2030 4873 L 2033 4869 L 2038 4865 L 2039 4861 L 2041 4858 L 2044 4854 L 2045 4852 L 2048 4847 L 2050 4842 L 2052 4839 L 2054 4837 L 2059 4834 L 2061 4829 L 2062 4824 L 2063 4820 L 2065 4815 L 2066 4811 L 2067 4807 L 2079 4804 L 2083 4802 L 2088 4799 L 2092 4796 L 2098 4793 L 2100 4790 L 2106 4785 L 2107 4781 L 2112 4778 L 2114 4775 L 2117 4772 L 2120 4768 L 2121 4765 L 2128 4762 L 2130 4759 L 2133 4755 L 2137 4752 L 2149 4749 L 2151 4745 L 2156 4742 L 2163 4738 L 2169 4733 L 2173 4728 L 2184 4724 L 2188 4720 L 2191 4717 L 2197 4713 L 2200 4709 L 2201 4705 L 2208 4701 L 2210 4697 L 2212 4693 L 2213 4689 L 2215 4685 L 2217 4681 L 2219 4675 L 2222 4668 L 2230 4664 L 2231 4659 L 2240 4655 L 2241 4650 L 2252 4645 L 2257 4641 L 2258 4636 L 2260 4631 L 2262 4626 L 2266 4621 L 2267 4616 L 2276 4611 L 2295 4605 L 2297 4600 L 2308 4595 L 2310 4589 L 2322 4583 L 2326 4578 L 2326 4572 L 2327 4566 L 2333 4560 L 2341 4553 L 2345 4547 L 2360 4541 L 2369 4531 L 2373 4520 L 2374 4513 L 2374 4506 L 2378 4499 L 2379 4491 L 2388 4483 L 2402 4475 L 2410 4467 L 2410 4459 L 2420 4450 L 2422 4441 L 2427 4432 L 2429 4423 L 2440 4413 L 2452 4403 L 2459 4393 L 2464 4382 L 2478 4371 L 2493 4360 L 2520 4348 L 2522 4335 L 2523 4322 L 2557 4309 L 2563 4295 L 2575 4280 L 2584 4265 L 2605 4249 L 2609 4232 L 2635 4214 L 2665 4195 L 2671 4175 L 2688 4153 L 2698 4130 L 2708 4104 L 2711 4077 L 2804 4047 L 2816 4014 L 3048 3977 L 3119 3935 L 3675 3886 L 3681 3829 L 3683 3759 L 3683 3668 L 3683 3541 L 4511 3322 L S grestore gsave grestore %%Trailer %%Pages: 1 end %%EndFile svobj restore gr gs /svobj save def greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset 225 2073 2324 2073 2324 1797 225 1797 np mto lto lto lto clip np /tface 8 def 8 encfont colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 878 1915 794 5 (Figure 2. Error Distribution by Protocol)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset -75 3374 2624 3374 2624 2825 -75 2825 np mto lto lto lto clip np /tface 4 def 4 encfont colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 2979 227 1 (RFC 1128)fjt 805 2979 941 5 (Performance of the Network Time Protocol)fjt 1948 2979 302 1 (October 1989)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset -75 474 2624 474 2624 -75 -75 -75 np mto lto lto lto clip np /tface 4 def colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 279 100 0 (Mills)fjt 2092 279 158 1 (Page 6)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np %End page showpage svobj restore gr gs /svobj save def %Begin page UserSoP greset -75 3374 2624 3374 2624 -75 -75 -75 np mto lto lto lto clip np /tface 8 def 8 encfont colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 2841 1950 11 (discovered using the domain-name system and additional information gathered by other means,)fjt 300 2782 1950 16 (resulted in a total of about 990 NTP hosts. These hosts were then surveyed again, while keeping)fjt 300 2724 1854 11 (track of ancillary information to determine whether the implementation and configuration )fjt 2154 2724 97 0 (were)fjt 300 2666 1851 16 (correct. This resulted in a list of 946 hosts apparently synchronized to the NTP subnet and oper)fjt 2151 2666 100 0 (ating)fjt 300 2608 189 0 (correctly.)fjt /tface 5 def 5 encfont sf 300 2514 83 0 (2.1.)fjt (y)15 (t)13 (i)13 (l)27 (a)29 (u)38 (Q)13 ( )29 (g)30 (n)12 (i)30 (p)27 (e)26 (e)27 (k)27 (e)43 (m)13 (i)29 (T)12 ( )16 (f)29 (o)13 ( )30 (n)29 (o)13 (i)15 (t)27 (a)30 (u)12 (l)27 (a)27 (v)32 (E)13 ( )0 34 383 2514 fet /tface 8 def sf 300 2421 1800 14 (In evaluating the quality of standard time distribution it is important to understand the ef)fjt 2100 2421 150 1 (fects of)fjt 300 2362 1901 14 (errors on the applications using the service. For many applications the maximum error under )fjt 2201 2362 50 0 (all)fjt 300 2304 1796 13 (conditions is more important than the mean error under controlled conditions. In these appl)fjt 2096 2304 155 0 (ications)fjt 300 2246 1728 13 (conventional statistics such as mean and variance are insufficient. A useful statistic has )fjt 2028 2246 222 1 (been found)fjt 300 2188 1591 13 (to be the error distribution plotted on log-log axes and showing the probability P\()fjt /tface 10 def 10 encfont sf 1891 2188 22 0 (x)fjt /tface 8 def sf 1913 2188 28 0 (>)fjt /tface 10 def sf 1941 2188 25 0 (a)fjt /tface 8 def sf 1966 2188 285 3 (\) that a sample)fjt /tface 10 def sf 300 2129 22 0 (x)fjt /tface 8 def sf 322 2129 788 7 ( from the population exceeds the value )fjt /tface 10 def sf 1110 2129 25 0 (a)fjt /tface 8 def sf 1135 2129 461 6 ( on the x axis. Figure 2)fjt 1597 2129 654 5 ( shows the error distributions for)fjt 300 2071 1950 18 (each of the three time protocols included in the survey. The top line in Figure 2 is for ICMP)fjt 300 2013 1328 12 (Timestamp, the next down is for TIME and the bottom is for NTP.)fjt 300 1914 1861 14 (The graphs shown in Figure 2 suggest several tentative conclusions. First, the time accuracy o)fjt 2161 1914 89 1 (f the)fjt 300 1856 1925 15 (various hosts varies dramatically over at least nine decades from milliseconds to over 11 days. T)fjt 2225 1856 25 0 (o)fjt 300 1798 1950 17 (be sure, not many hosts showed very large errors and there is cause to believe these hosts either)fjt 300 1739 1950 15 (were never synchronized or were operating improperly. In the case of NTP, for example, which is)fjt 300 1681 1928 13 (designed expressly for time synchronization, eight hosts showed errors above ten seconds, a valu)fjt 2228 1681 22 0 (e)fjt 300 1623 1799 16 (considered barely credible for a host synchronized by NTP in the Internet. It is very likely th)fjt 2099 1623 151 1 (at some)fjt 300 1565 1874 16 (or all of these hosts, representing about one percent of the total NTP population, were using an)fjt 2174 1565 76 1 ( old)fjt 300 1506 1950 14 (NTP implementation with known bugs. On the other hand, one percent of the ICMP Timestamp)fjt 300 1448 1950 17 (hosts show errors greater than a day, while one percent of TIME hosts show errors greater than a)fjt 300 1390 1891 16 (few hours. Clearly, at least on some machines for the latter two protocols, time is not considere)fjt 2191 1390 60 1 (d a)fjt 300 1332 356 1 (cherished service.)fjt 300 1233 1906 20 (At the other end of the scale, Figure 2 suggests that at least 30 percent of the hosts in all thr)fjt 2206 1233 44 0 (ee)fjt 300 1175 1950 16 (protocols make some attempt to maintain accurate time to about 30 ms with NTP, a minute with)fjt 300 1116 1950 14 (TIME and a couple of minutes with ICMP Timestamp. Between this regime and the one-percent)fjt 300 1058 1950 13 (regime the accuracies deteriorate; however, in general, NTP hosts maintain time about a thousand)fjt 300 1000 1163 9 (times more accurate than either of the other two protocols.)fjt /tface 5 def sf 300 900 83 0 (2.2.)fjt (n)29 (o)13 (i)27 (s)26 (s)30 (u)27 (c)26 (s)13 (i)35 (D)13 ( )0 11 383 900 fet /tface 8 def sf 300 807 1916 14 (While this experiment was designed to assess the ubiquity and quality of Internet time servic)fjt 2216 807 35 0 (e,)fjt 300 749 1950 12 (several interesting facts have emerged. The experiment identified almost 100,000 hosts in the)fjt 300 690 1950 11 (composite domain-name database; however, there is every suspicion that the domain-name survey)fjt 300 632 1764 15 (did not capture the entire collection of hosts identifiable by that means. There may be hidde)fjt 2064 632 187 1 (n servers,)fjt 300 574 1900 15 (servers that were down during the survey and network errors of various kinds that occurred duri)fjt 2200 574 50 0 (ng)fjt 300 516 1950 15 (the survey. In addition, there were a few instances where the same address appeared in the)fjt 300 457 1950 12 (domain-name database with different names, which would tend to slightly overestimate the number)fjt 300 399 328 2 (of distinct hosts.)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset -75 3374 2624 3374 2624 2825 -75 2825 np mto lto lto lto clip np /tface 4 def 4 encfont colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 2979 227 1 (RFC 1128)fjt 805 2979 941 5 (Performance of the Network Time Protocol)fjt 1948 2979 302 1 (October 1989)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset -75 474 2624 474 2624 -75 -75 -75 np mto lto lto lto clip np /tface 4 def colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 279 100 0 (Mills)fjt 2092 279 158 1 (Page 7)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np %End page showpage svobj restore gr gs /svobj save def %Begin page UserSoP greset -75 3374 2624 3374 2624 -75 -75 -75 np mto lto lto lto clip np /tface 8 def 8 encfont colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 2841 1873 15 (Years of experience with the Internet have demonstrated the utility of ICMP error messages as us)fjt 2173 2841 77 0 (eful)fjt 300 2782 1928 16 (indicators of network problems. One of the goals in system design is to avoid "black holes," wher)fjt 2228 2782 22 0 (e)fjt 300 2724 1778 18 (an attempt to reach a host results in no response at all. The success, or lack thereof, in attai)fjt 2078 2724 172 1 (ning this)fjt 300 2666 1850 17 (goal is apparent in the data above. Of 94,260 attempts to reach a distinct host, 63,456 resulted )fjt 2150 2666 100 1 (in no)fjt 300 2608 1936 19 (response at all, or about a 67% failure rate. Some of the failures are probably due to the fact tha)fjt 2236 2608 14 0 (t)fjt 300 2549 1950 15 (not all hosts support the ICMP Timestamp message or even ICMP messages at all. A conforming)fjt 300 2491 1950 16 (host should return an ICMP error message in case of inability to deliver an ICMP echo, timestamp)fjt 300 2433 1950 12 (or information-request message; however, this detail of the ICMP specification is not always)fjt 300 2375 272 0 (implemented.)fjt 300 2269 1950 16 (There is reason to believe that many, perhaps most hosts are connected to local nets, most often)fjt 300 2211 1851 12 (Ethernets. While it is in principle possible to determine \(from address-resolution failures\) t)fjt 2151 2211 99 1 (hat a)fjt 300 2153 1950 16 (particular host is unreachable, there are few if any gateways that do that. In fact, some gateway)fjt 300 2095 1793 12 (implementations drop the first datagram arriving for a host that requires address resolution)fjt 2093 2095 158 2 (. This is)fjt 300 2036 1934 16 (one of the factors that drove the experiment design to make two attempts for each address rathe)fjt 2234 2036 17 0 (r)fjt 300 1978 183 1 (than one.)fjt 300 1873 1950 13 (The design of the experiment suppresses attempts using TIME if ICMP Timestamp fails and)fjt 300 1814 1856 16 (suppresses attempts using NTP if TIME fails. The intent of this design is to avoid network over)fjt 2156 1814 94 0 (head)fjt 300 1756 1911 13 (for attempts unlikely to succeed. In the TCP/IP implementations derived from the various rece)fjt 2211 1756 39 0 (nt)fjt 300 1698 1878 11 (Berkeley Unix distributions, the standard configuration includes support for ICMP Timestamp )fjt 2178 1698 72 0 (and)fjt 300 1640 1950 15 (TIME, but not NTP. Some configurations elect not to support either TIME or NTP; however, ICMP)fjt 300 1581 1802 17 (Timestamp is supported by the kernel, so is highly likely to be available, even if the others )fjt 2102 1581 149 1 (are not.)fjt 300 1476 1922 17 (From the design of the experiment, it would be expected that only those hosts that respond to ICM)fjt 2222 1476 28 0 (P)fjt 300 1418 1950 14 (Timestamp would be surveyed for TIME. In fact, there are somewhat more hosts surveyed than)fjt 300 1359 1864 17 (this. This may be due to any of several factors, including the fact that some hosts are represe)fjt 2164 1359 86 0 (nted)fjt 300 1301 1884 16 (more than once in the control file with different names and may behave differently due to netw)fjt 2184 1301 67 0 (ork)fjt 300 1243 1950 15 (errors on subsequent attempts. In the case of ICMP Timestamp attempts, most of the errors were)fjt 300 1185 1901 12 (due to miscellaneous ICMP host-unreachable and time-exceeded messages, but the incidence is w)fjt 2201 1185 50 0 (ell)fjt 300 1126 1900 19 (down in the statistical noise. On the other hand, in the case of TIME most of the errors were due)fjt 2200 1126 51 1 ( to)fjt 300 1068 1861 11 (ICMP port-unreachable messages as expected. There seems little justification for the surprisi)fjt 2161 1068 89 0 (ngly)fjt 300 1010 1925 13 (high level of timeouts in these cases, since implementations capable of returning ICMP Timestam)fjt 2225 1010 25 0 (p)fjt 300 952 1950 12 (messages would ordinarily be capable of returning ICMP port-unreachable messages in case the)fjt 300 893 1536 10 (user-datagram protocol module itself or TIME or NTP was not implemented.)fjt /tface 5 def 5 encfont sf 300 787 42 0 (3.)fjt (s)15 (t)27 (s)30 (o)35 (H)12 ( )32 (P)29 (T)35 (N)13 ( )16 (f)29 (o)13 ( )27 (y)26 (e)27 (v)18 (r)30 (u)32 (S)13 ( )0 20 350 787 fet /tface 8 def sf 300 690 1950 15 (The above experiment was designed to assess the performance of all time servers that could be)fjt 300 632 1917 12 (found in the Internet, regardless of protocol, system management discipline or protocol confo)fjt 2217 632 17 0 (r)fjt 2234 632 17 0 (-)fjt 300 574 1931 14 (mance. In another experiment a number of NTP primary time servers was surveyed. Primary server)fjt 2231 574 19 0 (s)fjt 300 516 1950 17 (are synchronized by radio or satellite to NBS standards and located at or near points of entry to)fjt 300 457 1809 13 (national and international backbone networks. Since they are monitored and maintained on a )fjt 2109 457 141 0 (regular)fjt 300 399 1529 11 (basis, their performance can be taken as representative of a managed system.)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset -75 3374 2624 3374 2624 2825 -75 2825 np mto lto lto lto clip np /tface 4 def 4 encfont colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 2979 227 1 (RFC 1128)fjt 805 2979 941 5 (Performance of the Network Time Protocol)fjt 1948 2979 302 1 (October 1989)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset -75 474 2624 474 2624 -75 -75 -75 np mto lto lto lto clip np /tface 4 def colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 279 100 0 (Mills)fjt 2092 279 158 1 (Page 8)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np %End page showpage svobj restore gr gs /svobj save def %Begin page UserSoP greset -75 3374 2624 3374 2624 -75 -75 -75 np mto lto lto lto clip np /tface 8 def 8 encfont colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 2206 1950 14 (The experiment operated over a two-week period in August 1989 using paths between six primary)fjt 300 2148 1911 15 (servers on the east coast, west coast and midwest. All measurements were made from an experime)fjt 2211 2148 39 0 (nt)fjt 300 2089 1896 16 (host located at the University of Delaware. All of the paths involve links operating at 1.5 Mbps)fjt 2196 2089 54 1 ( or)fjt 300 2031 1950 19 (higher, although there are up to a dozen links on some paths and some lower speed links are in use.)fjt 300 1973 1950 14 (Samples of roundtrip delay and clock offset were collected at intervals from one to seventeen)fjt 300 1915 1415 13 (minutes on all six paths and the data recorded in files for later analysis.)fjt 300 1827 150 1 (Table 2)fjt 450 1827 1800 15 ( shows the results of the survey, which involved about 33,000 samples. For each server the)fjt 300 1769 1950 13 (name, synchronization source, number of network hops and number of samples are shown. The)fjt 300 1711 1950 13 (offset and delay columns show the sample medians in milliseconds. The unfiltered columns show)fjt 300 1653 1842 15 (the raw data, while the filtered columns show the data after processing by the clock-filter algo)fjt 2142 1653 108 0 (rithm)fjt 300 1594 1950 15 (used in NTP and described below. Note that the number of samples collected depend on whether)fjt 300 1536 1832 12 (the server is selected for clock synchronization as determined by the clock-selection algorith)fjt 2132 1536 119 1 (m. As)fjt 300 1478 1903 15 (in previous surveys of this type, statistics based on the sample median yield more accurate resu)fjt 2203 1478 47 0 (lts)fjt 300 1420 1950 14 (than those based on the sample mean. However, results for the trimmed mean \(also called)fjt 300 1361 1950 13 (Fault-Tolerant Average [KOP87]\) with 25% of the samples removed are within a millisecond of)fjt 300 1303 1886 18 (the values shown in Table 2. The reduced delay for the filtered data is an artifact of the filter)fjt 2186 1303 64 0 (ing)fjt 300 1245 206 0 (algorithm.)fjt 300 1157 1848 16 (The residual offset errors apparent in Figure 2 can be traced to subtle assymetries in path ro)fjt 2148 1157 103 0 (uting)fjt 300 1099 1950 12 (and network/gateway configurations. If these can be calibrated, perhaps using a portable atomic)fjt 300 1041 1829 15 (clock, reliable time transfer over the Internet should be possible to a few milliseconds if me)fjt 2129 1041 105 0 (asure)fjt 2234 1041 17 0 (-)fjt 300 983 1931 14 (ments are made over periods in the order of weeks. Assuming individual time offset measurement)fjt 2231 983 19 0 (s)fjt 300 924 1866 15 (can be made with confidence \(see below\) to this order, frequency transfer over the Internet ca)fjt 2166 924 85 1 (n be)fjt 300 866 461 3 (determined to about 10)fjt /txscale 1000 3 mul 72 div def /tyscale 1000 3 mul 72 div def sf 761 890 35 0 (-7)fjt /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def sf 795 866 554 8 ( in a day and to less than 10)fjt /txscale 1000 3 mul 72 div def /tyscale 1000 3 mul 72 div def sf 1349 890 35 0 (-8)fjt /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def sf 1383 866 288 3 ( in two weeks.)fjt /tface 5 def 5 encfont sf 300 778 83 0 (3.1.)fjt (s)26 (y)27 (a)13 (l)27 (e)35 (D)12 ( )13 (l)27 (a)27 (c)12 (i)16 (t)27 (s)12 (i)16 (t)27 (a)15 (t)32 (S)13 ( )30 (o)15 (t)13 ( )27 (e)29 (u)35 (D)13 ( )27 (s)18 (r)29 (o)19 (r)18 (r)32 (E)13 ( )0 33 383 778 fet /tface 8 def sf 300 690 1842 15 (In order to more completely assess the accuracy and reliability that clocks can be synchronized )fjt 2142 690 108 0 (using)fjt 300 632 1884 15 (NTP and the Internet, the paths illustrated in Table 2 were carefully measured in several surv)fjt 2184 632 66 0 (eys)fjt 300 574 1925 19 (conducted over a period of 18 months. Each survey used up to six time servers and lasted up to tw)fjt 2225 574 25 0 (o)fjt 300 516 1854 14 (weeks. A typical survey involves the path between experiment hosts at the University of Dela)fjt 2154 516 97 0 (ware)fjt 300 457 1911 15 (and USC Information Sciences Institute, located near Los Angeles, over a complex path of up )fjt 2211 457 39 0 (to)fjt 300 399 1950 12 (twelve network hops involving NSFNET, ARPANET and several other nets and gateways. This)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset 225 2978 2324 2978 2324 2313 225 2313 np mto lto lto lto clip np 1275 2898 1276 2898 1276 2828 1275 2828 fa colmap 1 [0 0 0 ] put 1 sci gs eofill gr 1687 2898 1688 2898 1688 2828 1687 2828 fa gs eofill gr 451 2828 2099 2828 2099 2827 451 2827 fa gs eofill gr 657 2828 658 2828 658 2758 657 2758 fa gs eofill gr 863 2828 864 2828 864 2758 863 2758 fa gs eofill gr 1069 2828 1070 2828 1070 2758 1069 2758 fa gs eofill gr 1275 2828 1276 2828 1276 2758 1275 2758 fa gs eofill gr 1481 2828 1482 2828 1482 2758 1481 2758 fa gs eofill gr 1687 2828 1688 2828 1688 2758 1687 2758 fa gs eofill gr 1893 2828 1894 2828 1894 2758 1893 2758 fa gs eofill gr 451 2758 2099 2758 2099 2757 451 2757 fa gs eofill gr 657 2758 658 2758 658 2698 657 2698 fa gs eofill gr 863 2758 864 2758 864 2698 863 2698 fa gs eofill gr 1069 2758 1070 2758 1070 2698 1069 2698 fa gs eofill gr 1275 2758 1276 2758 1276 2698 1275 2698 fa gs eofill gr 1481 2758 1482 2758 1482 2698 1481 2698 fa gs eofill gr 1687 2758 1688 2758 1688 2698 1687 2698 fa gs eofill gr 1893 2758 1894 2758 1894 2698 1893 2698 fa gs eofill gr 657 2698 658 2698 658 2638 657 2638 fa gs eofill gr 863 2698 864 2698 864 2638 863 2638 fa gs eofill gr 1069 2698 1070 2698 1070 2638 1069 2638 fa gs eofill gr 1275 2698 1276 2698 1276 2638 1275 2638 fa gs eofill gr 1481 2698 1482 2698 1482 2638 1481 2638 fa gs eofill gr 1687 2698 1688 2698 1688 2638 1687 2638 fa gs eofill gr 1893 2698 1894 2698 1894 2638 1893 2638 fa gs eofill gr 657 2638 658 2638 658 2578 657 2578 fa gs eofill gr 863 2638 864 2638 864 2578 863 2578 fa gs eofill gr 1069 2638 1070 2638 1070 2578 1069 2578 fa gs eofill gr 1275 2638 1276 2638 1276 2578 1275 2578 fa gs eofill gr 1481 2638 1482 2638 1482 2578 1481 2578 fa gs eofill gr 1687 2638 1688 2638 1688 2578 1687 2578 fa gs eofill gr 1893 2638 1894 2638 1894 2578 1893 2578 fa gs eofill gr 657 2578 658 2578 658 2518 657 2518 fa gs eofill gr 863 2578 864 2578 864 2518 863 2518 fa gs eofill gr 1069 2578 1070 2578 1070 2518 1069 2518 fa gs eofill gr 1275 2578 1276 2578 1276 2518 1275 2518 fa gs eofill gr 1481 2578 1482 2578 1482 2518 1481 2518 fa gs eofill gr 1687 2578 1688 2578 1688 2518 1687 2518 fa gs eofill gr 1893 2578 1894 2578 1894 2518 1893 2518 fa gs eofill gr 657 2518 658 2518 658 2458 657 2458 fa gs eofill gr 863 2518 864 2518 864 2458 863 2458 fa gs eofill gr 1069 2518 1070 2518 1070 2458 1069 2458 fa gs eofill gr 1275 2518 1276 2518 1276 2458 1275 2458 fa gs eofill gr 1481 2518 1482 2518 1482 2458 1481 2458 fa gs eofill gr 1687 2518 1688 2518 1688 2458 1687 2458 fa gs eofill gr 1893 2518 1894 2518 1894 2458 1893 2458 fa gs eofill gr 657 2458 658 2458 658 2388 657 2388 fa gs eofill gr 863 2458 864 2458 864 2388 863 2388 fa gs eofill gr 1069 2458 1070 2458 1070 2388 1069 2388 fa gs eofill gr 1275 2458 1276 2458 1276 2388 1275 2388 fa gs eofill gr 1481 2458 1482 2458 1482 2388 1481 2388 fa gs eofill gr 1687 2458 1688 2458 1688 2388 1687 2388 fa gs eofill gr 1893 2458 1894 2458 1894 2388 1893 2388 fa gs eofill gr 450 2899 2100 2899 2100 2898 450 2898 fa gs eofill gr 450 2387 2100 2387 2100 2388 450 2388 fa gs eofill gr 450 2899 451 2899 451 2387 450 2387 fa gs eofill gr 2100 2899 2099 2899 2099 2387 2100 2387 fa gs eofill gr /tface 8 def /tszabs false def /txscale 1000 3 mul 72 div def /tyscale 1000 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 1396 2849 171 0 (Unfiltered)fjt 1829 2849 129 0 (Filtered)fjt /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def sf 468 2768 94 0 (Host)fjt 674 2768 125 0 (Synch)fjt 880 2768 105 0 (Hops)fjt 1086 2768 169 0 (Samples)fjt 1292 2768 124 0 (Offset)fjt 1498 2768 119 0 (Delay)fjt 1704 2768 124 0 (Offset)fjt 1910 2768 119 0 (Delay)fjt 468 2698 133 0 (FORD)fjt 674 2698 130 0 (GOES)fjt 880 2698 50 0 (10)fjt 1086 2698 100 0 (8097)fjt 1292 2698 25 0 (2)fjt 1498 2698 75 0 (190)fjt 1704 2698 25 0 (2)fjt 1910 2698 75 0 (178)fjt 468 2638 61 0 (ISI)fjt 674 2638 163 0 (WWVB)fjt 880 2638 50 0 (12)fjt 1086 2638 100 0 (2214)fjt 1292 2638 67 0 (-12)fjt 1498 2638 113 0 (269.5)fjt 1704 2638 42 0 (-9)fjt 1910 2638 75 0 (220)fjt 468 2578 91 0 (MIT)fjt 674 2578 130 0 (WWV)fjt 880 2578 50 0 (11)fjt 1086 2578 75 0 (991)fjt 1292 2578 42 0 (-8)fjt 1498 2578 75 0 (178)fjt 1704 2578 42 0 (-9)fjt 1910 2578 75 0 (163)fjt 468 2518 139 0 (NCAR)fjt 674 2518 163 0 (WWVB)fjt 880 2518 25 0 (8)fjt 1086 2518 100 0 (1563)fjt 1292 2518 25 0 (6)fjt 1498 2518 75 0 (231)fjt 1704 2518 25 0 (6)fjt 1910 2518 75 0 (216)fjt 468 2458 122 0 (UIUC)fjt 674 2458 163 0 (WWVB)fjt 880 2458 25 0 (7)fjt 1086 2458 100 0 (3986)fjt 1292 2458 42 0 (-9)fjt 1498 2458 75 0 (198)fjt 1704 2458 67 0 (-10)fjt 1910 2458 75 0 (177)fjt 468 2398 116 0 (UMD)fjt 674 2398 163 0 (WWVB)fjt 880 2398 25 0 (5)fjt 1086 2398 125 0 (16105)fjt 1292 2398 25 0 (1)fjt 1498 2398 50 0 (60)fjt 1704 2398 25 0 (1)fjt 1910 2398 50 0 (52)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset 225 2462 2324 2462 2324 2192 225 2192 np mto lto lto lto clip np /tface 8 def colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 895 2304 761 5 (Table 2. Time Responses by Category)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset -75 3374 2624 3374 2624 2825 -75 2825 np mto lto lto lto clip np /tface 4 def 4 encfont colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 2979 227 1 (RFC 1128)fjt 805 2979 941 5 (Performance of the Network Time Protocol)fjt 1948 2979 302 1 (October 1989)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset -75 474 2624 474 2624 -75 -75 -75 np mto lto lto lto clip np /tface 4 def colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 279 100 0 (Mills)fjt 2092 279 158 1 (Page 9)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np %End page showpage svobj restore gr gs /svobj save def %Begin page UserSoP greset -75 3374 2624 3374 2624 -75 -75 -75 np mto lto lto lto clip np /tface 8 def 8 encfont colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 1768 1950 15 (path was purposely selected as among the poorer performing ones in order to determine how well)fjt 300 1710 1089 6 (clocks can be synchronized under nonideal conditions.)fjt 300 1623 1849 13 (A number of algorithms for deglitching and filtering time-offset data are summarized in [MIL)fjt 2149 1623 101 0 (89a],)fjt 300 1564 1950 13 (including trimmed-mean and various kinds of nonlinear filters. The NTP Version 1 protocol used)fjt 300 1506 1892 17 (a type of median filter in which a window consisting of the last n sample offsets is continuou)fjt 2192 1506 58 0 (sly)fjt 300 1448 1815 15 (updated and the median sample selected as the estimate. In this algorithm the outlyer \(sample f)fjt 2115 1448 135 0 (urthest)fjt 300 1390 1828 17 (from the median\) is discarded and the process repeated until only a single sample offset is left, )fjt 2128 1390 122 0 (which)fjt 300 1331 1892 16 (is then produced as the offset estimate. It was used in the Fuzzball and Unix implementations )fjt 2192 1331 58 0 (for)fjt 300 1273 756 7 (about two years until the end of 1987.)fjt 300 1186 1950 13 (Experiments during the development of NTP Version 2 have produced an algorithm which provides)fjt 300 1127 1867 14 (higher accuracy together with a lower computational burden. The key to the new algorithm bec)fjt 2167 1127 83 0 (ame)fjt 300 1069 1891 12 (evident through an examination of scatter diagrams plotting clock offset versus roundtrip del)fjt 2191 1069 60 0 (ay.)fjt 300 1011 1950 12 (Without making any assumptions about the distributions of queueing and transmission delays on)fjt 300 953 1824 14 (either direction along the path, but assuming the intrinsic frequency offsets of the host an)fjt 2124 953 127 1 (d peer)fjt 300 894 586 5 (clocks are relatively small, let )fjt /tface 10 def 10 encfont sf 886 894 25 0 (d)fjt /tface 8 def /txscale 1000 3 mul 72 div def /tyscale 1000 3 mul 72 div def sf 911 889 21 0 (0)fjt /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def sf 932 894 89 2 ( and )fjt /tface 10 def sf 1021 894 22 0 (c)fjt /tface 8 def /txscale 1000 3 mul 72 div def /tyscale 1000 3 mul 72 div def sf 1043 889 21 0 (0)fjt /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def sf 1063 894 1187 11 ( represent the delay and offset when no other traffic is present)fjt 300 836 1656 15 (on the path and so represents the true values. The problem is to accurately estimate )fjt /tface 10 def sf 1956 836 25 0 (d)fjt /tface 8 def /txscale 1000 3 mul 72 div def /tyscale 1000 3 mul 72 div def sf 1981 831 21 0 (0)fjt /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def sf 2002 836 97 2 ( and )fjt /tface 10 def sf 2098 836 22 0 (c)fjt /tface 8 def /txscale 1000 3 mul 72 div def /tyscale 1000 3 mul 72 div def sf 2120 831 21 0 (0)fjt /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def sf 2141 836 109 1 ( from)fjt 300 778 468 4 (a sample population of )fjt /tface 10 def sf 768 778 25 0 (d)fjt /txscale 1000 3 mul 72 div def /tyscale 1000 3 mul 72 div def sf 793 773 12 0 (i)fjt /tface 8 def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def sf 804 778 97 2 ( and )fjt /tface 10 def sf 901 778 22 0 (c)fjt /txscale 1000 3 mul 72 div def /tyscale 1000 3 mul 72 div def sf 923 773 12 0 (i)fjt /tface 8 def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def sf 935 778 1275 9 ( collected under typical conditions over a relatively long period.)fjt 300 690 171 1 (Figure 3)fjt 471 690 1605 15 ( shows a typical scatter diagram for the path under study, in which the points \()fjt /tface 10 def sf 2075 690 25 0 (d)fjt /txscale 1000 3 mul 72 div def /tyscale 1000 3 mul 72 div def sf 2100 685 12 0 (i)fjt /tface 8 def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def sf 2112 690 13 0 (,)fjt /tface 10 def sf 2124 690 22 0 (c)fjt /txscale 1000 3 mul 72 div def /tyscale 1000 3 mul 72 div def sf 2146 685 12 0 (i)fjt /tface 8 def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def sf 2158 690 93 1 (\) are)fjt 300 632 1950 16 (concentrated near the apex of a wedge defined by lines extending from the apex with slopes +0.5)fjt 300 574 1832 16 (and -0.5, corresponding to the locus of points as the delay in one direction increases while the)fjt 2132 574 118 1 ( delay)fjt 300 516 1757 16 (in the other direction does not. From these data it is obvious that good estimators for \()fjt /tface 10 def sf 2057 516 25 0 (d)fjt /tface 8 def /txscale 1000 3 mul 72 div def /tyscale 1000 3 mul 72 div def sf 2082 511 21 0 (0)fjt /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def sf 2103 516 13 0 (,)fjt /tface 10 def sf 2115 516 22 0 (c)fjt /tface 8 def /txscale 1000 3 mul 72 div def /tyscale 1000 3 mul 72 div def sf 2137 511 21 0 (0)fjt /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def sf 2158 516 92 1 (\) are)fjt 300 457 1950 16 (points near the apex and that the best offset samples occur at the lower delays. Therefore, an)fjt 300 399 1021 8 (appropriate technique is simply to select from the )fjt /tface 10 def sf 1321 399 25 0 (n)fjt /tface 8 def sf 1346 399 905 7 ( most recent samples the sample with lowest)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset 225 2979 2324 2979 2324 1923 225 1923 np mto lto lto lto clip np greset 75 3129 2475 3129 2475 1772 75 1772 np mto lto lto lto clip np svobj restore gr gs /svobj save def 657 2904 657 1997 1893 1997 1893 2904 np mto lto lto lto clip np 657 1997 translate 300 72 div dup scale 1237 300 div 541 72 div div 908 300 div 397 72 div div scale -36 -180 translate %%BeginFile: C:\TYPESET\PAPERS\GLO3.EPS %!PS-Adobe-2.0 EPSF 2.0 %%BoundingBox: 36 180 576 576 %%DocumentFonts: Helvetica-Bold Symbol %%Creator: mills %%CreationDate: Mon Aug 28 15:00:51 1989 %%Pages: (atend) %%EndComments /$Sdict 25 dict def $Sdict begin % variables /basesize 160 def /oldcex 1 def /cex 1 def /ratio 1 def /pch (*) def /coffset basesize -0.345 mul def % vertical offset for characters /pcxshift 0 def % procedures /checksize % adjust font size if needed. Stack: cex { /cex exch def oldcex cex ne % scale sizes { /ratio cex oldcex div def /TextFont TextFont ratio scalefont def /PchFont PchFont ratio scalefont def /coffset coffset ratio mul def /oldcex cex def } if } def /Pchar % the plot character. Stack: string cex { checksize /pch exch def pch (.) eq % replace period by bullet { (\267) pch copy pop } if pch (,) eq % replace comma by middot { (\264) pch copy pop } if /PchFont TextFont def pch (*) eq pch (+) eq or % switch to symbol font for these characters { /PchFont /Symbol findfont basesize oldcex mul scalefont def } if PchFont setfont pch stringwidth pop neg 2 div /pcxshift exch def } def /M {moveto} def % move to a point. Stack: x y /L {lineto} def % line to a point. Stack: x y /S {stroke} def /P % plot a character at a point. Stack: x y { M % move to the point pcxshift coffset rmoveto % offset for the character pch show } def /T % show a text string. Stack: adj srot cex x y string { /str exch def M % move to the point (pops x and y) checksize % change size if necessary (pops cex) TextFont setfont dup rotate exch % (moves adj to top) str stringwidth pop neg mul % pops adj coffset rmoveto str show neg rotate } def /Sub %add a subscript. Stack: string srot { oldcex 0.75 mul checksize TextFont setfont dup rotate oldcex -0.5 mul basesize mul 0 exch rmoveto exch show oldcex 0.5 mul basesize mul 0 exch rmoveto neg rotate oldcex 4 3 div mul checksize TextFont setfont } def /Sup %add a superscript. Stack: string srot { oldcex 0.75 mul checksize TextFont setfont dup rotate oldcex 0.5 mul basesize mul 0 exch rmoveto exch show oldcex -0.5 mul basesize mul 0 exch rmoveto neg rotate oldcex 4 3 div mul checksize TextFont setfont } def /F % change the base font. Stack: fontname { /TextFont exch findfont basesize oldcex mul scalefont def /PchFont TextFont def } def /ST % text in Symbol font. 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2336 4009 P 2229 3997 P 2839 4196 P 2638 4176 P 2215 4123 P 2153 4098 P 2082 4050 P 2287 4146 P 2264 4110 P 2073 4083 P 2447 4184 P 2416 3964 P 3012 4168 P 2131 4045 P 2131 4080 P 2273 4128 P 2028 4057 P 2015 4065 P 2051 4050 P 2540 4174 P 3030 4002 P 2073 4078 P 2010 4055 P 1988 4067 P 2189 4014 P 2006 4072 P 2126 4062 P 2033 4078 P 2206 4060 P 2122 4024 P 2295 4095 P 2322 4060 P 2460 4022 P 2358 4024 P 2042 4057 P 2180 4078 P 2028 4078 P 2100 4045 P 2126 4037 P 2024 4052 P 2425 4040 P 2291 3979 P 2794 3961 P 2242 4120 P 2224 4095 P 2977 4320 P 2425 4115 P 2487 4042 P 2166 4027 P 2149 4017 P 2594 4219 P 3338 4378 P 2402 4040 P 2211 4093 P 2189 4110 P 2215 4131 P 2220 4131 P 2077 4057 P 2474 3936 P 2309 4120 P 2451 4093 P 2322 4022 P 2211 4123 P 1988 4067 P 2558 4148 P 2206 3997 P 2126 4078 P 2122 4027 P 2251 4030 P 2100 4037 P 2055 4047 P 2162 4009 P 2344 3974 P 4807 4790 P (,) 1 Pchar 2852 4305 P 2491 4153 P 2224 4138 P 2197 4105 P 2558 4209 P 2082 4075 P 2189 4093 P 2496 4184 P 2184 4103 P 2821 3855 P 2033 4067 P 2442 3992 P 2149 4037 P 2264 4075 P 2318 4004 P 2051 4062 P 2100 4037 P 2046 4047 P 2015 4080 P 2358 4136 P 2068 4060 P 2180 4060 P 2015 4072 P 2184 4088 P 2002 4065 P 2772 4161 P 2229 4128 P 4282 4449 P 3244 4333 P 2233 4060 P 5016 4853 P 4210 4651 P 2434 4168 P (,) 1 Pchar 5386 4750 P 4647 4719 P 2705 3949 P 2732 4126 P (,) 1 Pchar 5235 4924 P 4010 4555 P 2059 4062 P 2438 3971 P 2229 4098 P 2122 4088 P 2380 4133 P 2077 4042 P 2117 4057 P 2131 4062 P 2545 4002 P 2313 4027 P 1997 4060 P 2095 4072 P 1988 4057 P 2091 4085 P 2135 4032 P 3222 3721 P 2719 3863 P 2166 4052 P 2082 4035 P 2638 3896 P 2100 4080 P 2149 4100 P 2157 4115 P 2073 4055 P 2019 4067 P 2082 4075 P 2051 4090 P 2028 4060 P 2327 4050 P 2817 3843 P 2460 4030 P 2278 4017 P 2126 4024 P 2100 4032 P 2692 4211 P 2647 4224 P 2086 4055 P 2309 4004 P 3093 3885 P 2367 4035 P 2745 4244 P 2309 4027 P 2108 4035 P 2318 4123 P 2157 4090 P 2175 4032 P 2705 4199 P 2126 4083 P 2754 4156 P 2260 4032 P 2344 4108 P 2353 4055 P 2033 4080 P 3208 3911 P 2558 4166 P 2131 4065 P 2233 4088 P 2149 4080 P 2278 4115 P 2059 4067 P 2233 4126 P 2082 4093 P 2451 4093 P 2086 4105 P 2220 4138 P 2242 4060 P 2091 4072 P 2505 4163 P 2135 4108 P 2313 4146 P 2180 4095 P 2175 4098 P 2380 4158 P 2117 4040 P 2723 4232 P 2113 4072 P 2438 4163 P 2531 4088 P 2603 4176 P 2340 4037 P 2839 4050 P 2594 4078 P 2255 4022 P 3053 4146 P 3035 4259 P 2122 4090 P 2233 4057 P 2567 4232 P 2416 4078 P 3458 3987 P 2603 3994 P 2754 3987 P 2073 4052 P 2149 4090 P 2082 4078 P (,) 1 Pchar 2304 4131 P 2607 4176 P 2149 4095 P 3640 3908 P 2576 4211 P 2068 4067 P 2033 4085 P 2073 4045 P 2059 4085 P 2389 4047 P 2260 4075 P 2282 4047 P 2273 4078 P 2696 3906 P 2500 4171 P 2157 4103 P 2300 4095 P 2442 4163 P 2692 4224 P 2278 4070 P 2108 4047 P 3119 4285 P 2095 4030 P 2006 4055 P 2051 4060 P 2282 3981 P 2313 4050 P 2019 4060 P 2073 4050 P 2073 4062 P 2051 4067 P 2242 3989 P 2269 4060 P 2300 4095 P 2135 4080 P 2051 4060 P 2002 4072 P 2028 4078 P 2162 4027 P 2465 4131 P 1997 4062 P 2033 4070 P 2033 4045 P 2166 4014 P 2095 4035 P 2233 4098 P 2144 4093 P 2344 4037 P 2024 4072 P 2028 4072 P 1993 4062 P 2184 4078 P 2313 4055 P 2157 4052 P 2313 4148 P 2238 4030 P 3538 4085 P 2068 4070 P 2015 4057 P 2171 4103 P 2113 4065 P 2411 4158 P 3070 3825 P 2242 4105 P 2411 3969 P 2251 4115 P 2140 4035 P 2108 4075 P 2019 4050 P 2157 4088 P 2224 4100 P 2246 4012 P 2563 3951 P 2238 4098 P 2202 4108 P 2376 3949 P 2028 4050 P 2086 4095 P 2006 4060 P 2166 4037 P 2175 4042 P 2077 4067 P 2082 4024 P 2086 4052 P 2024 4050 P 2055 4060 P 2376 4163 P 2095 4032 P 2496 3908 P 2073 4060 P 2189 4078 P 2015 4075 P 2189 4057 P 2108 4050 P 2215 4095 P 2131 4080 P 2202 4045 P 2015 4055 P 2028 4050 P 2193 4103 P 2010 4057 P 1997 4055 P 2042 4067 P 2149 4027 P 2002 4057 P 2015 4050 P 2402 4166 P 2189 4080 P 2197 4115 P 2126 4057 P 2051 4075 P 2483 4141 P 2051 4060 P 2068 4067 P 2304 4004 P 2006 4060 P 1984 4055 P 2282 4105 P 2193 3999 P 2255 4052 P 2202 3999 P 2100 4052 P 2157 4012 P 2389 4004 P 2033 4047 P 2420 4105 P 2149 4009 P 2033 4050 P 2157 4047 P 2242 3992 P 3284 4300 P 2500 4118 P 2171 4004 P 2416 3999 P 2068 4062 P 2126 4027 P 2197 4093 P 2287 4123 P 2122 4060 P 2108 4057 P 2126 4042 P 2229 3992 P 2024 4075 P 2229 4115 P 2064 4072 P 2140 4093 P 2184 4004 P 2059 4050 P 2024 4060 P 2149 4108 P 2273 4113 P 2603 3939 P 2349 4133 P 2327 4138 P 2402 4115 P 2371 4166 P 2687 4224 P 2874 4272 P 2157 4062 P 2140 4072 P 2287 4126 P 2175 4103 P 2318 4126 P 2108 4052 P 3008 4320 P 2113 4050 P 2420 4065 P 2309 4148 P 2260 4035 P 2117 4057 P 2478 3984 P 2229 4108 P 2108 4072 P 2157 4090 P 2149 4027 P 2010 4062 P 2059 4060 P 1979 4062 P 2157 4083 P 2264 4088 P 2732 4211 P 2184 4040 P 2135 4075 P 2224 4040 P 2077 4042 P 2055 4057 P 2393 4072 P 2064 4035 P 2313 4133 P 2986 4249 P 2197 4095 P 2166 4004 P 2416 4126 P 2224 4014 P 2776 3913 P 3093 3764 P 2491 4088 P 2295 4098 P 2331 4118 P 2100 4090 P 2955 4249 P 2202 4098 P 2857 4194 P 2287 4123 P 2278 4075 P 2175 4113 P 2572 4012 P 2242 4093 P 2402 4052 P 2393 4131 P 2287 4148 P 2282 4103 P 2385 4138 P 2968 4181 P 2322 4141 P 2033 4052 P 2273 4050 P 2638 4083 P 2184 4105 P 2082 4052 P 2055 4072 P 2393 4161 P 1993 4052 P 2010 4057 P 2126 4052 P 2269 4027 P 2068 4040 P 2193 4050 P 2220 4088 P 2140 4080 P 2211 3997 P 2233 4083 P 2131 4057 P 2086 4057 P 2028 4072 P 2108 4027 P 2180 4105 P 4714 4348 P 2474 4163 P 2411 4067 P 2202 4083 P 2162 4037 P 2104 4070 P 3217 4272 P 2010 4050 P 2015 4057 P 2140 4085 P 2220 3992 P 5128 4184 P 2193 4002 P 2531 3916 P 2264 4103 P 2149 4062 P 2313 4019 P 2278 4030 P 3240 4211 P 2861 3875 P 2162 4037 P 2665 4161 P 2407 4158 P 2683 4146 P 2563 4118 P 2091 4050 P 2580 3893 P 2402 4083 P 2113 4093 P 2175 4024 P 2171 4110 P 2313 3992 P 2246 3979 P 2157 4032 P 2091 4040 P 1988 4060 P 2220 4085 P 2135 4017 P 2362 4017 P 2019 4067 P 2117 4040 P 2144 4014 P 2028 4050 P 1993 4060 P 2879 3845 P 2398 4095 P 2362 4151 P 2051 4075 P 2420 4163 P 2367 4166 P 2434 4126 P 2019 4047 P 2398 4138 P 2122 4022 P 2059 4042 P 2113 4083 P 2723 3923 P 2238 4050 P 2233 3984 P 2033 4065 P 2086 4070 P 2006 4057 P 2095 4060 P 2260 4100 P 2554 3944 P 2024 4065 P 2059 4052 P 2028 4067 P 2055 4060 P 2790 3893 P 2157 4004 P 2229 4042 P 2046 4072 P 2309 4123 P 2117 4019 P 2077 4052 P 2068 4055 P 2211 4017 P 2166 4032 P 2175 4093 P 1997 4057 P 2095 4070 P 2135 4050 P 2157 4083 P 2091 4050 P 2189 4045 P 2037 4057 P 2229 4075 P 2091 4027 P 2197 4090 P 2189 4019 P 2033 4065 P (,) 1 Pchar 2095 4090 P 2028 4067 P 1997 4050 P 2046 4070 P 2563 4136 P 2888 4290 P 2100 4093 P 2028 4057 P 2202 4007 P 2135 4057 P 2028 4065 P 2095 4052 P 2193 4019 P 2051 4067 P 2273 4126 P 2073 4060 P 2024 4065 P 2033 4072 P 1988 4060 P 2113 4060 P 2010 4060 P 1997 4057 P 2028 4047 P 2705 3865 P 2531 3906 P 2055 4057 P 2055 4065 P 1993 4067 P 2434 3944 P 2055 4050 P 2398 3961 P 2776 3868 P 2442 3944 P 2055 4055 P 2006 4067 P 2104 4040 P 2033 4047 P 2068 4078 P 2269 3976 P 2015 4065 P 2051 4055 P 2015 4045 P 2344 4067 P 2024 4067 P 2055 4072 P 1993 4060 P 2171 4108 P 2077 4060 P 2104 4093 P 2255 4027 P 2037 4047 P 2073 4062 P 2661 3880 P 2091 4050 P 2104 4075 P 2122 4093 P 2144 4072 P 2046 4062 P 2082 4052 P 2046 4065 P 1979 4062 P 2068 4057 P 2166 4067 P 2162 4083 P 2126 4072 P 2229 4024 P 2594 3911 P 2153 4050 P 2523 4176 P 2024 4062 P (,) 1 Pchar 2113 4050 P 2037 4045 P 2892 4115 P 2295 4032 P 2166 4098 P 1988 4057 P 2451 3939 P 2002 4057 P 2002 4065 P 2046 4042 P 2024 4065 P 2051 4072 P 2055 4055 P 2211 4103 P 2042 4060 P 2304 4009 P 2438 4168 P 2157 4032 P 2091 4052 P 2086 4050 P 2033 4057 P 2754 4186 P 2483 4201 P 2465 3936 P 2211 4062 P 2082 4040 P 2073 4088 P 2166 4032 P 2246 4052 P 2171 4030 P 2108 4040 P 2095 4042 P 2233 3999 P 2077 4035 P 2015 4070 P 2122 4050 P 2051 4055 P 2140 4055 P 2215 4047 P 2113 4052 P 2010 4067 P 2095 4030 P 2068 4042 P 2251 3997 P 2117 4042 P 2104 4024 P 2420 4143 P 2224 4105 P 2447 4138 P 2598 4201 P 2808 3830 P 2033 4062 P 2821 3863 P 2171 4093 P 2821 4222 P 2514 4163 P 2447 4138 P 2064 4037 P 2082 4078 P 2006 4057 P 2033 4067 P 2077 4055 P 2028 4060 P 2189 4022 P 2002 4055 P 2073 4085 P 3529 3658 P 2002 4062 P 2233 4133 P 2140 4032 P 2451 3964 P 2206 4085 P 2295 3981 P 2015 4072 P 2215 4108 P 2202 4070 P 2260 4133 P 2790 4259 P 2157 4035 P 2073 4075 P 2091 4057 P 2055 4055 P 2015 4055 P 2135 4100 P 2055 4072 P 2122 4065 P 2002 4057 P 2117 4050 P 2527 4138 P 2064 4047 P 2051 4050 P 2242 4083 P 2144 4085 P 2153 4027 P 2046 4052 P 2318 4027 P 2086 4040 P 2059 4072 P 2229 4103 P 2736 3868 P 2643 3981 P 2162 4085 P 2073 4047 P 2051 4070 P 2037 4055 P 2077 4060 P 2202 4037 P 2095 4085 P 2073 4047 P 2028 4057 P 2135 4042 P 2629 4158 P 2091 4037 P 2091 4080 P 2135 4057 P 2042 4075 P 2126 4083 P 2224 4009 P 2505 3956 P 2171 4067 P 2010 4057 P 2589 3974 P 2100 4057 P 2536 3959 P 2727 3939 P 2999 4030 P 2242 4037 P 2349 4110 P 2082 4060 P 2304 4143 P 2398 4133 P 2518 4133 P 2117 4067 P 2140 4093 P 3222 3782 P 2616 3954 P 2135 4052 P 2469 4201 P 2131 4045 P 2215 4090 P 2028 4078 P 2122 4088 P 2064 4057 P 2238 4078 P 2104 4067 P 2184 4078 P 2202 4002 P 2064 4037 P (,) 1 Pchar 2759 3908 P 2157 4088 P 2273 4017 P 2567 4133 P 2006 4062 P 2385 4136 P 2175 4037 P 2100 4035 P 2273 4027 P 3044 3845 P 2126 4027 P 2607 4234 P 2202 4103 P 2220 4012 P 2295 3987 P 2420 3966 P 2077 4047 P 2166 4050 P 2545 3946 P 2055 4070 P 2184 4088 P 2126 4067 P 2220 4067 P 2002 4055 P 2527 3992 P 2033 4057 P 2153 4024 P 2117 4085 P 2104 4070 P 2095 4030 P 2380 4108 P 2242 4045 P 2108 4035 P 2091 4050 P 2362 4128 P 2140 4060 P 2229 4024 P 2131 4078 P 2287 3994 P 2407 4103 P 2046 4067 P 2914 3906 P 2037 4070 P 2701 4166 P 2754 4158 P 2157 4055 P 2180 4035 P 2037 4067 P 2229 4120 P 2055 4072 P 2278 4088 P 2100 4088 P 2371 3974 P 2077 4045 P 2402 3979 P 2278 4113 P 2260 4093 P 2295 3989 P 2278 4012 P 3039 4108 P 2865 3913 P 4112 4537 P 2705 3923 P 2447 4136 P 2821 3961 P 3217 3739 P 2260 4115 P 2460 3964 P 2518 4138 P 2220 4035 P 2064 4050 P 2634 4222 P 2278 4136 P 2362 4085 P 2015 4052 P 2483 4014 P 2122 4047 P 2879 4237 P 2113 4085 P 2273 4045 P 3400 3673 P 2104 4037 P 2189 4040 P 2291 4072 P 2812 4045 P 2113 4080 P 2540 4035 P 2358 4065 P 2670 4191 P 2140 4080 P 2095 4067 P 2082 4067 P 2447 3974 P 2567 3966 P 2024 4057 P 2233 4088 P 2224 4002 P 2438 4131 P 2068 4080 P 2091 4042 P 2745 4153 P 2741 4270 P 2425 4141 P 2264 4075 P 3093 4004 P 2059 4062 P 2082 4057 P 3026 3976 P 2358 3976 P 2736 3880 P 3004 3954 P 2500 4189 P 2817 4239 P 2808 3944 P 2416 4065 P 2572 3971 P 3320 4110 P 2251 4085 P 2705 4242 P 2790 4146 P (,) 1 Pchar 2621 4163 P 2144 4075 P 2723 3883 P 2340 4088 P 2580 4168 P 2238 4040 P 2322 4156 P 2122 4045 P 2264 4080 P 2358 4085 P 2135 4052 P 2117 4030 P 2131 4037 P 2255 4093 P 2977 3832 P 2113 4040 P 2353 3994 P 2126 4098 P 2046 4070 P 2046 4065 P 2322 4045 P 2202 4067 P 2144 4060 P 2180 4060 P 2977 4285 P 2830 4257 P 2166 4045 P 2585 4126 P 2117 4083 P 2095 4088 P 2091 4062 P 2407 4024 P 2385 4163 P 2037 4083 P 2287 4100 P 2024 4052 P 2157 4045 P 2015 4070 P 2149 4060 P 2224 4083 P 2785 4259 P 2091 4083 P 2723 3878 P 2278 4067 P 2224 4052 P 2122 4103 P 2180 4060 P 2398 4179 P 2233 4035 P 2291 4047 P 2082 4062 P 2371 4115 P 2073 4080 P 2149 4083 P 2451 3964 P 2095 4070 P 2634 4100 P 2064 4042 P 2197 4014 P 2117 4072 P 2068 4088 P 2077 4065 P 2665 3984 P 2059 4065 P 2251 4105 P 2046 4062 P 2469 4098 P 2202 4088 P 2309 4067 P 2206 4085 P 2175 4042 P 2825 4126 P 2104 4032 P 2331 3994 P 2883 3863 P 3075 4290 P 2491 4136 P 2184 4093 P 4990 4876 P 2104 4047 P 2344 4030 P 2175 4113 P 2104 4045 P 2598 3992 P 2349 4062 P 2086 4045 P 2318 4078 P 2162 4080 P 2304 3994 P 2456 4133 P 2051 4075 P 2874 4100 P 2246 4062 P 2229 4052 P 2273 4070 P 2104 4062 P 2349 4002 P 2901 4227 P 2678 4126 P 2251 4017 P 2086 4080 P 2206 4045 P 2144 4055 P 2122 4078 P 2514 3954 P 2251 4009 P 4264 4674 P 2469 4103 P 2193 4040 P 2434 4085 P 2184 4080 P 2273 3994 P 2175 4070 P 3222 4378 P 2407 4138 P 2460 4151 P 3427 4338 P 2318 4115 P 2745 4179 P 2523 4199 P 2674 4191 P 2402 4158 P 2264 4014 P 2077 4067 P 2206 4055 P 2808 4113 P 2389 4151 P 3204 3734 P 2304 4093 P 2442 4156 P 3226 3898 P 3734 3625 P 2028 4047 P 2402 4062 P 2126 4075 P 2206 4075 P 2144 4083 P 2162 4090 P 2215 4075 P 2153 4093 P 2140 4085 P 2429 4186 P 2015 4075 P 2242 4040 P 2051 4057 P 2487 4126 P 2189 4047 P 3458 4398 P 3026 4277 P 2607 4161 P 2149 4052 P 2126 4035 P 2189 4080 P 2162 4105 P 2113 4052 P 2082 4072 P 2269 4098 P 2781 3896 P 2834 4103 P 2380 4085 P 2999 4312 P 2135 4098 P 2117 4100 P 2371 4083 P 2242 4022 P 2273 4148 P 2389 4168 P 2972 3800 P 2095 4060 P 2309 4110 P 2117 4052 P 2175 4017 P 2398 4158 P 2892 3825 P 2790 4275 P 2674 4211 P 2100 4078 P 2411 4098 P 2229 4105 P 2126 4027 P 2091 4078 P 2095 4080 P 2340 4012 P 2848 4287 P 2870 4216 P 2821 3984 P 3048 4022 P 2202 4113 P 2950 4267 P 2776 3997 P 2193 4090 P 2086 4075 P 2140 4105 P 2117 4050 P 2162 4060 P 2113 4037 P 2037 4060 P 2104 4095 P 2015 4055 P 2336 4057 P 2327 3994 P 2059 4083 P 2073 4065 P 2469 3956 P 2073 4042 P 2438 4194 P 2638 4168 P 3783 4570 P 2839 4287 P 2202 4014 P 2367 4143 P 2144 4040 P 2629 3954 P 2246 4065 P 2269 4009 P 2469 4168 P 2238 4098 P 2189 4040 P 2233 4055 P 2785 3873 P 2202 4123 P 2576 4014 P 2469 4017 P 2616 4075 P 2358 4002 P 2184 4052 P 2064 4083 P 2166 4083 P 2211 4118 P 2264 4108 P 2073 4067 P 2051 4050 P 2531 4179 P 2407 4040 P 2710 4179 P 2024 4057 P 2162 4055 P 2166 4057 P 2229 4017 P 2665 4136 P 2180 4019 P 2215 4009 P 2113 4078 P 2024 4080 P 2229 4014 P 2331 4083 P 2086 4085 P 2741 4136 P 2162 4103 P 2171 4050 P 2416 4083 P 2037 4057 P 2140 4047 P 2580 4191 P 2233 4113 P 2122 4052 P 2175 4120 P 2131 4103 P 2140 4100 P 2046 4083 P 2211 4019 P 2033 4062 P 2300 4002 P 2175 4047 P 2732 4062 P 2282 4141 P 2229 3994 P 2117 4070 P 2073 4062 P 2024 4057 P 2006 4067 P 2051 4057 P 2371 4002 P 2469 4012 P 2643 4242 P 2291 4037 P 2309 3999 P 2344 4128 P 2117 4072 P 2389 4083 P 2059 4072 P 2549 4136 P 2340 4009 P 2625 4143 P 2389 4085 P 2732 4211 P 1984 4065 P 2465 4120 P 2037 4050 P 2389 3979 P 2331 4151 P 2064 4042 P 2175 4052 P 2180 4027 P 2291 4047 P 2892 3961 P 3770 4494 P 2251 4088 P 2469 4189 P 2104 4040 P 2563 4143 P 2211 4133 P 2487 4009 P 2478 4115 P 2224 4105 P 2131 4103 P 2331 3989 P 2033 4062 P 2086 4078 P 2033 4072 P 2278 4007 P 2153 4019 P 2175 4030 P 2055 4065 P 2166 4090 P 3012 3795 P 2349 3959 P 2046 4075 P 2336 4045 P 4433 3845 P 2527 4105 P 4010 3547 P 2434 4143 P 3418 4252 P 2073 4052 P 2344 4156 P 2073 4035 P 2416 4083 P 2478 4161 P 2091 4103 P 2652 4242 P 2273 4131 P 2104 4067 P 2246 4128 P 2175 4085 P 3217 3928 P 2255 4075 P 2086 4088 P 3422 3850 P 3222 3779 P 2255 4113 P 2251 4080 P 2064 4070 P 2331 4032 P 2113 4062 P 2024 4080 P 2295 4113 P 2496 4156 P 2981 4300 P 2037 4080 P 2046 4060 P 2269 4060 P 2331 4022 P 2407 4080 P 2215 4078 P 2140 4105 P 2162 4067 P 2371 4009 P 2042 4052 P 2563 4057 P 2407 4153 P 2491 3961 P 2091 4098 P 2175 4040 P 2189 4098 P 2483 3971 P 2603 4222 P 2140 4088 P 2255 4040 P 2024 4072 P 2246 4093 P 2131 4067 P 2073 4078 P 2469 4136 P 2122 4093 P 2344 4065 P 2349 4126 P 2140 4042 P 2104 4045 P 2019 4070 P 2229 4060 P 2028 4070 P 2046 4050 P 2197 4105 P 2091 4085 P 2269 4002 P 2229 4088 P 2870 4239 P 2336 4141 P 2126 4030 P 2166 4118 P 2331 4095 P 2224 4095 P 2340 4012 P 2229 4007 P 2189 4032 P 2727 4216 P 2941 4310 P 2091 4070 P 2536 4194 P 2269 4009 P 2189 4088 P 2104 4080 P 2149 4115 P 2719 4191 P 2710 4196 P 2821 3863 P 2554 4161 P 2238 4128 P 2091 4052 P 2042 4062 P 2046 4067 P 2104 4093 P 2055 4078 P 2086 4072 P 2278 4017 P 2465 3981 P 2246 4037 P 2010 4057 P 2197 4035 P 2122 4030 P 2108 4095 P 2523 4110 P 2108 4050 P 2425 4067 P 2393 4118 P 2469 4022 P 2264 4090 P 2171 4014 P 3850 4391 P 2322 4110 P 2634 3911 P 2478 4123 P 2046 4060 P 2438 4128 P 2402 4009 P 2442 4128 P 2113 4067 P 2897 4257 P 2238 4085 P 2371 4062 P 2928 4237 P 2344 4136 P 2162 4024 P 2104 4050 P 2229 4080 P 2229 4042 P 3093 4249 P 2487 3989 P 2149 4042 P 2269 4037 P 2500 4100 P 3048 3926 P 2117 4042 P 2126 4045 P 2184 4075 P 2042 4057 P 2068 4050 P 2140 4027 P 2278 4146 P 4090 4451 P 2024 4072 P 2634 3969 P 2113 4085 P 2024 4067 P 2162 4083 P 2051 4057 P 2131 4083 P 2051 4070 P 2015 4052 P 2166 4057 P 2140 4105 P 2082 4052 P 2051 4047 P 2175 4070 P 2091 4080 P 2603 4052 P 2171 4118 P 2193 4057 P 2901 4115 P 2295 4108 P 2202 4115 P 2483 4141 P 2135 4078 P 2269 4113 P 2865 4264 P 2246 4141 P 2015 4060 P 1997 4062 P 2073 4060 P 2064 4055 P 2122 4047 P 2059 4062 P 2113 4070 P 2278 4098 P 2238 4105 P 2086 4045 P (,) 1 Pchar 2238 4050 P 2140 4105 P 2416 4168 P 2353 4148 P 2331 4123 P 2380 4090 P 2295 4052 P 2033 4067 P 2126 4072 P 2251 4017 P 2238 4032 P 2327 4078 P 2100 4042 P 2438 4189 P 2362 3971 P 2184 4085 P 2629 3875 P 2108 4060 P 2197 4060 P 2331 4030 P 2260 4030 P 2095 4085 P 2295 3976 P 2442 3984 P 2420 3989 P (,) 1 Pchar 2073 4035 P 2019 4052 P 2287 4042 P 2251 4057 P 2224 3999 P 2086 4052 P 2287 4098 P 2331 4143 P 2149 4078 P 2157 4037 P 2126 4057 P 2010 4052 P 2434 4080 P 2420 3979 P 2100 4032 P 2082 4060 P 2563 4209 P 2531 4174 P 2175 4098 P 2024 4055 P 2353 4146 P 2576 4219 P 2184 4040 P 2425 4052 P 2309 4014 P 2389 4151 P 1997 4065 P 2131 4085 P 1979 4060 P 2028 4057 P 2269 4088 P 2117 4083 P 2269 4019 P 2402 4179 P 2024 4062 P 2812 4141 P 2055 4045 P 2215 4057 P 2082 4093 P 2126 4080 P 2171 4108 P 2184 4105 P 2229 4126 P 2028 4057 P 2318 3987 P 2318 4113 P 2140 4070 P 2104 4050 P 2184 4035 P 2073 4088 P 2295 4083 P 2051 4072 P 2100 4083 P 2037 4050 P 2255 4019 P 2175 4067 P 2224 4009 P 2033 4067 P 2028 4047 P 2086 4078 P 2282 3994 P 2554 4075 P 2768 4057 P 2073 4085 P 2193 4115 P 2077 4047 P 2046 4078 P 2073 4035 P 2340 3989 P 2166 4080 P 2108 4032 P 2131 4072 P 2291 4138 P 4014 4398 P 2344 4060 P 2162 4045 P 2523 4146 P 2189 4012 P 2059 4045 P 2451 4128 P 2091 4078 P 2313 4050 P 2091 4067 P 2082 4027 P 2349 4153 P 2246 4103 P 1988 4057 P 2015 4057 P 2197 4040 P 2010 4052 P 2086 4057 P 2086 4075 P 2411 3931 P 2175 4090 P 2224 4103 P 2122 4035 P 3030 3800 P 2162 4030 P 2162 4093 P 2082 4030 P 2157 4065 P 2091 4062 P 1993 4057 P 2162 4050 P 2197 4095 P 2037 4055 P 2157 4062 P 2051 4075 P 2024 4052 P 2260 4085 P 2104 4088 P 3102 4333 P 2385 4007 P 2006 4052 P 2059 4070 P 2033 4052 P 2300 4019 P 1997 4057 P 2104 4024 P 2278 4083 P 2171 4080 P 2122 4070 P 2638 4030 P 2300 4072 P 2367 4055 P 3044 4057 P 2710 4055 P 2362 4075 P 2554 4103 P 2572 4136 P 2981 3903 P 2278 4067 P 2478 4047 P 2527 4093 P 2411 4067 P 2166 4088 P 2082 4067 P 2193 4083 P 2019 4062 P 2037 4042 P 2175 4100 P 2010 4047 P 2037 4042 P 2122 4080 P 2251 4131 P 2438 4168 P 2019 4057 P 2042 4057 P 1988 4060 P 2474 4146 P 3480 3666 P 2398 4166 P 2059 4052 P 2055 4065 P 2042 4078 P 2799 3997 P 2514 3984 P 3159 3964 P 2153 4052 P 2291 3989 P 2028 4055 P 2304 4067 P 2037 4055 P 2474 4161 P 1988 4060 P 1979 4055 P 2059 4035 P 2068 4037 P 2019 4060 P 2540 4090 P 3021 4335 P 2598 4103 P 2491 4191 P 1984 4052 P 2028 4067 P 2505 4110 P 2033 4050 P 1997 4057 P 2184 4040 P 2451 4055 P 2095 4052 P 2336 4123 P 2220 4030 P 2233 4009 P 2077 4078 P 2091 4052 P 1997 4060 P 2033 4065 P 2073 4060 P 2064 4083 P 2402 4085 P 2153 4037 P 2073 4085 P 2580 4103 P 2055 4067 P 2995 4310 P 2153 4047 P 3026 4219 P 2367 4133 P 2870 3896 P 2229 4075 P 2536 4126 P 3084 4348 P 2184 4060 P 2420 4156 P 2220 4067 P 2710 4229 P 2046 4070 P 2385 4143 P 2144 4095 P 2140 4095 P 2131 4098 P 2184 4108 P 2229 4093 P 2184 4100 P 2002 4067 P 2131 4105 P 2545 4168 P 2483 4199 P 2282 4093 P 2340 4133 P 2197 4108 P 2215 4093 P 5342 4954 P 5364 4949 P 2790 4267 P 2104 4042 P 2313 4120 P 2353 4166 P 2278 4085 P 2313 4040 P 2153 4080 P 2077 4042 P 2010 4050 P 2447 4176 P 2193 4110 P 2197 4095 P 2024 4072 P 2955 4272 P 2082 4067 P 2019 4052 P 2233 4070 P 3017 3896 P 2264 4024 P 2006 4057 P 2055 4065 P 2055 4042 P 2028 4057 P 2197 4118 P 2558 3901 P 2603 4105 P 3930 4585 P 2068 4045 P 2425 4095 P 2122 4050 P 2131 4072 P 2055 4078 P 2238 4030 P 1988 4062 P 2055 4055 P 2140 4045 P 2131 4080 P 2674 4219 P 2171 4032 P 2149 4047 P 2162 4055 P 2122 4100 P 2754 3891 P 2108 4052 P 2006 4057 P 2100 4042 P 2010 4055 P 2046 4057 P 2171 4098 P 2068 4052 P 2442 4176 P 2002 4055 P 2015 4065 P 2100 4050 P 1997 4057 P 2313 4055 P 2077 4067 P 2037 4075 P 2135 4070 P 1997 4067 P 2091 4065 P 2068 4065 P 2131 4035 P 1988 4057 P 2015 4060 P 2082 4037 P 2073 4072 P 2242 4062 P 2033 4072 P 2211 4093 P 2135 4090 P 2287 4100 P 2166 4100 P 2077 4040 P 2197 4030 P 2278 3992 P 2224 4050 P 2358 4126 P 2327 4012 P 2006 4067 P 2104 4078 P 2246 4067 P 2122 4027 P 2398 4143 P 2229 4047 P 2113 4088 P 2149 4017 P 2055 4057 P 2091 4090 P 2643 4113 P 2478 3944 P 2082 4083 P 2073 4045 P 2028 4060 P 2055 4040 P 2082 4030 P 2117 4078 P 2140 4040 P 2407 3964 P 2108 4040 P 2037 4078 P 2251 4067 P 2086 4040 P 2153 4030 P 2077 4088 P 2091 4098 P 2028 4067 P 1993 4060 P 2215 4123 P 2318 4030 P 2055 4047 P 2046 4055 P 2932 4270 P 2389 4050 P 2193 4024 P 2046 4050 P 2162 4098 P 2131 4067 P 2264 4012 P 2153 4022 P 2122 4105 P 2220 4123 P 2821 3830 P 2033 4047 P 2625 4065 P 2162 4083 P 2068 4080 P 2015 4075 P 1975 4062 P 2024 4057 P 2010 4067 P 2140 4090 P 2162 4078 P 2242 4100 P 2059 4067 P 2189 4012 P 2131 4083 P 2037 4062 P 1988 4062 P 2157 4014 P 2496 3931 P 2153 4040 P 1984 4065 P 3088 3825 P 2171 4105 P 2051 4055 P 2042 4052 P 2010 4065 P 2238 4032 P 2051 4085 P 2407 3954 P 2135 4019 P 2255 4090 P 2202 4110 P 2180 4032 P 2251 4009 P 1997 4065 P 2019 4065 P 2046 4055 P 2077 4080 P 2536 4186 P 2002 4062 P 2068 4055 P 1997 4062 P 2197 4120 P 2122 4072 P 1979 4062 P 2073 4078 P 2897 4105 P 2171 4009 P 2211 4115 P 2175 4040 P 2108 4085 P 2108 4070 P 2380 3969 P 2309 3981 P 2104 4085 P 2242 4105 P 1984 4060 P 2019 4062 P 2131 4040 P 2674 4229 P 2180 4093 P 2059 4083 P 2171 4110 P 2126 4035 P 2091 4045 P 2006 4060 P 2536 4168 P 2309 4136 P 2189 4085 P 2019 4065 P 2064 4047 P 2425 4143 P 2006 4065 P 2104 4083 P 2046 4067 P 2064 4085 P 2135 4052 P 2572 3936 P 1979 4062 P 2108 4065 P 2300 3971 P 2576 3908 P 1979 4067 P 2010 4057 P 2046 4078 P 2033 4050 P 2135 4065 P 2082 4057 P 2046 4072 P 2131 4090 P 2723 4272 P 2434 4153 P 2086 4047 P 2140 4075 P 2104 4057 P 2313 4017 P 2238 4022 P 1984 4060 P 2180 4105 P 2287 4060 P 2082 4047 P 2015 4065 P 2095 4098 P 2042 4067 P 2229 4050 P 2113 4072 P 2242 4047 P 2928 3951 P 2514 4009 P 2318 4035 P 2269 4103 P 2754 4128 P 2309 4118 P 2353 4012 P 2095 4062 P 2091 4065 P 2064 4080 P 3346 3964 P 1984 4060 P 2073 4085 P 2202 4012 P 2131 4060 P 2478 3944 P 2095 4080 P 2242 4017 P 2135 4027 P 2175 4050 P 2140 4040 P 2073 4088 P 2287 4009 P 2055 4070 P 2028 4057 P 2068 4072 P 2095 4052 P 2059 4057 P 2033 4080 P 2077 4065 P 2313 4153 P 2077 4085 P 2059 4045 P 1984 4060 P 2295 3997 P 1988 4062 P 2331 4014 P 2193 4075 P 2336 4067 P 2474 4131 P 2086 4055 P 2019 4067 P 2095 4085 P 2006 4065 P 2024 4052 P 2376 4168 P 2193 4045 P 2077 4040 P 2153 4090 P 2028 4072 P 2024 4067 P 2002 4065 P 2144 4110 P 2082 4037 P 2135 4040 P 2135 4057 P 1993 4060 P 2068 4062 P 2104 4085 P 2095 4072 P 2002 4065 P 2046 4080 P 2059 4072 P 2304 4151 P 2064 4078 P 1997 4062 P 2193 4093 P 2153 4113 P 2376 4146 P 2068 4070 P 2144 4035 P 2077 4060 P 2385 4040 P 2091 4083 P 2135 4017 P 3231 4032 P 2282 4032 P 2073 4075 P 2037 4057 P 2131 4088 P 2006 4067 P 2064 4088 P 2220 4024 P 2184 4022 P 2051 4067 P 2042 4085 P 2460 4186 P 2037 4062 P 2817 4292 P 2509 4171 P 1984 4062 P 2287 4133 P 1993 4060 P 2131 4093 P 2287 3984 P 2042 4088 P 2086 4078 P 2073 4037 P 2046 4080 P 2051 4062 P 2042 4052 P 1993 4057 P 2028 4067 P 2059 4062 P 2100 4075 P 2082 4072 P 3168 3749 P 2291 4080 P 2095 4080 P 2719 3865 P 3970 4616 P (,) 1 Pchar 2144 4070 P 2024 4060 P 2042 4065 P 2073 4052 P 2269 4141 P 2068 4042 P 2059 4052 P 2019 4052 P 2104 4035 P 2269 4004 P 2086 4040 P 2131 4052 P 2665 3916 P 2313 3997 P 2175 4067 P 2077 4083 P 2171 4062 P 3275 3822 P 2104 4045 P 2371 3994 P 2064 4078 P 2157 4062 P 2870 4320 P 2251 4110 P 2282 4080 P 1988 4067 P 2327 4080 P 2095 4050 P 1984 4062 P 2977 4305 P 2135 4047 P 2295 4024 P 2149 4090 P 2318 4113 P 2527 4196 P 2273 4037 P 2104 4083 P 2322 4148 P 2010 4062 P 2126 4098 P 2197 4078 P 2104 4035 P 2242 4138 P 2634 4141 P 2340 4050 P 2478 4166 P 2211 4093 P 2336 4017 P 2122 4052 P 2037 4055 P 2184 4052 P 3102 3812 P 2166 4072 P 2153 4090 P 2091 4057 P 2603 3923 P 2193 4045 P 2389 4123 P 2104 4032 P 2068 4055 P 2585 4113 P 2376 3979 P 2073 4070 P 2233 4078 P 2131 4045 P 2100 4062 P 2211 4040 P 2318 4113 P 2126 4093 P 2006 4065 P 2117 4083 P 2086 4100 P 2002 4060 P 2554 4093 P 3364 4368 P 1993 4065 P 2358 4143 P 2402 4141 P 2051 4065 P 2313 4060 P 2077 4078 P 2166 4047 P 2126 4055 P 2251 4120 P 2287 4022 P 2184 4085 P 2073 4090 P 2389 4128 P 2144 4078 P (,) 1 Pchar 2589 4179 P (,) 1 Pchar 2144 4017 P 2260 4141 P 2563 4219 P 2411 4103 P 2166 4075 P 1988 4065 P 2046 4070 P 2028 4070 P 2344 4090 P 2046 4067 P 2986 3797 P 2349 4168 P 3400 4378 P 2300 4131 P 2046 4088 P 2202 4113 P 2055 4083 P 2785 3898 P 3689 3681 P 2215 4037 P 3280 3873 P 3208 3911 P 3894 3661 P 2193 4037 P 2367 4060 P 2420 4146 P 2073 4047 P 2456 4201 P 1997 4072 P 2166 4027 P 2260 4118 P 2175 4108 P 2710 3885 P 2100 4083 P 2821 3827 P 2131 4088 P 2042 4078 P 2086 4055 P 3810 3580 P 2086 4080 P 2643 3878 P 2411 4131 P 2157 4095 P 2483 4065 P 3360 3931 P 2224 4050 P 2282 4078 P (,) 1 Pchar 2438 4110 P 2117 4100 P 3400 4239 P 2100 4067 P 2638 4234 P 2046 4065 P 2117 4072 P 2803 4216 P 2206 4108 P 2091 4100 P 2255 4057 P 2010 4057 P 2229 4100 P 2037 4060 P 2082 4088 P 2434 3997 P 2100 4047 P 3676 4446 P 2064 4052 P 2144 4055 P 2126 4083 P 2175 4055 P 2193 4090 P 2393 4131 P 3667 3863 P 2745 4035 P 2509 4040 P 2741 4042 P 3070 3858 P 2531 4004 P 2095 4083 P 2202 4120 P 2407 4098 P 2100 4067 P 2171 4050 P 2015 4062 P 2184 4032 P 2171 4037 P 2963 3870 P 2131 4088 P 2478 4141 P 3142 3891 P 2291 4019 P 2131 4075 P 2189 4062 P 2500 4090 P 2193 4103 P 2483 4085 P 2589 3981 P 2754 3994 P (,) 1 Pchar 2572 4065 P 2438 4088 P 3026 4194 P 2558 4143 P 2425 4108 P 2670 4120 P 2327 4060 P 2652 4171 P 2616 4067 P 3413 4330 P 2629 4095 P 2776 4181 P 2759 4136 P 2563 4133 P 2037 4060 P 2754 3939 P 2100 4098 P 2398 4141 P 2202 4035 P 2367 3961 P 2211 4085 P 2892 4214 P 2380 4060 P 2246 3994 P 2153 4085 P 2358 4004 P 2140 4100 P 3070 3989 P 2189 4118 P 2077 4057 P 2206 4047 P 2393 4113 P 3168 3789 P 2336 4133 P 2665 4146 P 2376 4156 P 2634 4062 P 2353 3997 P 2638 4146 P 2033 4075 P 2340 3999 P 2059 4045 P 2656 3939 P 2206 4095 P 2100 4075 P 2189 4052 P 2340 4126 P 2255 4070 P 2073 4047 P 2629 3969 P 2598 3933 P 3418 3853 P 2336 4067 P 2010 4060 P 2710 4224 P 2331 4083 P 3115 4199 P 3008 3911 P 2678 4120 P 3057 4353 P 2661 4012 P (,) 1 Pchar 2322 4080 P 2327 4080 P 2287 4100 P 2238 4098 P 3253 4272 P 2598 4229 P 2380 4168 P 2122 4088 P 2327 3989 P 2073 4070 P 2131 4088 P 2100 4083 P 2264 4022 P 2131 4080 P 2429 4128 P 3943 4045 P 2144 4014 P 2051 4075 P 2273 4141 P 2233 4062 P 2295 4067 P 2046 4070 P 2304 4004 P 2518 3964 P 3355 3825 P 3004 4201 P 2291 3976 P 3614 3618 P 2393 3992 P 2460 3944 P 2140 4080 P 5110 3269 P 2572 3941 P 2995 3820 P 2166 4103 P 4870 3244 P 2353 4027 P (,) 1 Pchar 4509 4742 P 5016 4836 P 2483 4163 P 2131 4045 P 2848 4105 P 2358 4176 P 2055 4070 P 2478 4191 P 2135 4035 P 2135 4045 P 2122 4045 P 2331 3981 P 2149 4045 P 2616 4118 P 2100 4078 P 2197 4072 P 2042 4065 P 2990 4019 P 2278 4002 P 2282 4126 P 2295 4019 P 2327 4120 P 2117 4050 P 2612 3911 P 2371 4062 P 2928 4141 P 2714 4272 P 2309 4075 P 2287 4030 P 2425 4093 P 2398 4062 P 2322 3971 P 2255 4075 P 2100 4083 P 3422 3739 P 2082 4042 P 2055 4078 P 2295 4009 P 2002 4067 P 2531 4204 P 2166 4088 P 2434 4012 P 2687 4171 P 2300 4060 P 2131 4105 P 2269 4123 P 2238 4110 P 2184 4118 P 2104 4035 P 2202 4088 P 2144 4040 P 2206 4128 P 2607 3906 P 2295 4042 P 2950 4295 P 2295 4012 P 2710 4201 P 2073 4090 P 2327 4153 P 2140 4060 P 2300 4141 P 2260 3999 P 2059 4047 P 2131 4050 P 2652 4070 P 2166 4072 P 3885 3537 P 2077 4050 P 2264 4057 P 2527 4012 P 2491 4050 P 2189 4047 P 2665 4148 P 2505 4143 P 2732 3908 P 2278 4037 P 2879 4012 P 2625 4239 P 2327 4047 P 2220 4100 P 2108 4085 P 2923 3875 P 3248 4166 P 3694 4103 P 2202 4103 P 2327 4062 P 2963 4042 P 2865 4186 P 2349 4037 P 2273 4078 P 2322 4095 P 3204 3741 P 2251 3994 P 2059 4070 P 2113 4055 P 3547 3696 P 2906 4075 P 2402 4040 P 2580 4093 P (,) 1 Pchar 2977 4229 P 2385 4171 P 2193 4090 P 2242 4126 P 2376 4052 P 3908 3552 P 2594 3969 P 2135 4083 P 2389 4115 P 2322 4055 P 3231 3726 P (,) 1 Pchar 2385 4158 P 2336 4095 P 3026 3782 P 3075 4307 P 2251 4118 P 2313 4153 P 2322 4042 P 2474 4083 P 2937 4002 P 2264 4032 P 2322 4090 P 2331 4017 P 3026 4287 P 2291 4037 P 2260 4072 P 2469 4166 P 2091 4095 P 2264 4126 P 2496 4090 P 2117 4024 P 2331 4138 P 4402 4583 P 2077 4065 P 3284 4037 P 5288 3246 P 2518 4030 P 2389 4126 P 2487 4009 P 2661 4138 P 2242 4115 P 2558 4075 P 2282 4019 P 2126 4098 P 2545 4128 P 2376 4070 P 2781 4168 P 2064 4045 P 2772 4262 P 2042 4072 P 2037 4078 P 2135 4057 P 2068 4085 P 2469 4118 P 2162 4108 P 2790 3835 P 2661 4141 P 2046 4042 P 2848 3994 P 2140 4085 P 2113 4070 P 2483 3928 P 2108 4032 P 2580 4161 P 2086 4067 P 2233 4090 P 2407 3999 P 2362 4083 P 2055 4085 P 2042 4055 P 2144 4095 P 2300 4075 P 2100 4098 P 3529 4474 P 2309 4141 P 2140 4083 P 2478 4002 P 2692 4184 P 3159 3820 P 2589 4128 P 3053 3835 P 2358 4151 P 2006 4062 P 2068 4070 P 2616 4093 P 2206 4118 P 3177 4282 P 3801 4484 P 4384 3704 P 2380 4136 P 2104 4090 P 2941 4285 P 3747 3797 P 2420 3994 P 2122 4060 P 2149 4085 P 2189 4123 P 2687 4075 P 2108 4070 P 2678 3944 P 2051 4050 P 2696 3971 P 2073 4083 P 2108 4090 P 2126 4057 P 2028 4057 P 2126 4062 P 3582 4462 P 2852 3820 P 2037 4055 P 2309 4115 P 1988 4065 P 2260 4070 P 2336 3984 P 2140 4040 P 2064 4067 P 2086 4090 P 2091 4088 P 2010 4055 P 2077 4070 P 2180 4090 P 2251 4128 P 2287 4115 P 2309 4120 P 2206 4067 P 2144 4083 P 2019 4055 P 2175 4060 P 2295 4128 P 2696 3888 P 2037 4075 P 2086 4057 P 2229 4113 P 2215 4105 P 2843 4206 P 2166 4090 P 2598 4227 P 2055 4085 P 2064 4080 P 2683 4252 P 1988 4065 P 2051 4085 P 2002 4057 P 2108 4093 P 2010 4055 P 2019 4072 P 2144 4098 P 2068 4083 P 2162 4090 P 2180 4088 P 2033 4057 P 2318 4100 P 3306 4285 P 2220 4065 P 2264 4052 P 2367 4067 P 1984 4065 P 2206 4108 P 2086 4090 P 2135 4088 P 2224 4118 P 2180 4017 P 2514 4199 P 2643 4216 P 2126 4035 P 2523 4133 P 2300 4141 P 3342 4368 P 2442 4196 P 4032 4512 P 2220 4070 P 2024 4055 P 2768 4131 P 2113 4072 P 2665 4227 P 2665 4219 P 2260 4126 P 2162 4060 P 2131 4108 P 2068 4065 P 2028 4067 P 2108 4070 P 2033 4078 P 4340 4697 P 2162 4060 P 2068 4067 P 2162 4100 P 2643 3916 P 3547 4505 P 2068 4057 P 2095 4075 P 2313 4146 P 2051 4067 P 2091 4083 P 2955 3812 P 2166 4103 P 2019 4055 P 2117 4100 P 2046 4065 P 3293 4373 P 2006 4055 P 2051 4067 P 2033 4052 P 2193 4113 P 2064 4065 P 2100 4080 P 2692 4224 P 2144 4085 P 2353 4151 P 2180 4070 P 2567 4174 P 2318 4105 P 2224 4093 P 1997 4057 P 2674 4234 P 2131 4052 P 1993 4062 P 2398 3989 P 2006 4070 P 2545 4209 P 2656 4249 P 2037 4075 P 2211 4118 P 2665 3888 P 2197 4088 P 2447 4181 P 2215 4113 P 2420 4189 P 2340 4088 P 2278 4128 P 2055 4088 P 2834 3835 P 2238 4035 P 3195 3741 P 2224 4022 P 2197 4098 P 2028 4075 P 2180 4032 P 2857 4146 P 2113 4062 P 1997 4065 P 2042 4057 P 2086 4062 P 2037 4072 P 2411 4133 P 2264 4065 P 3850 4542 P 2616 4219 P 2059 4047 P 2687 4234 P 2246 4080 P 2518 4204 P 3903 3527 P 2077 4065 P 2563 4219 P 2019 4060 P 2126 4032 P 2745 4189 P 3061 3832 P 2567 4131 P 3542 3693 P 2282 4100 P 2376 4007 P 2304 3999 P 2295 4050 P 2621 4234 P 2162 4078 P 3480 4477 P 1993 4057 P 2407 4012 P 5364 3206 P 2242 4065 P 2714 4153 P 3404 4325 P 2140 4080 P 2211 4060 P 2189 4047 P 2273 4060 P 2104 4075 P 2037 4045 P 2224 4085 P 2469 4093 P 2460 4166 P 2113 4072 P 2705 4242 P 3743 4525 P 2269 3989 P 2131 4050 P 2153 4065 P 2554 4184 P 2928 4156 P 2162 4035 P 2229 4098 P 2122 4037 P 2180 4004 P 2015 4062 P 2082 4085 P 4740 4830 P 2135 4083 P 2206 4060 P 2741 4267 P 2042 4050 P 2024 4055 P 2095 4050 P 2264 4093 P 2309 4108 P 2434 4166 P 2059 4078 P 2291 4078 P 2064 4067 P 2175 4035 P 2077 4065 P 2086 4055 P 2549 4151 P 2153 4088 P 2612 4201 P 2144 4083 P 3204 4333 P 2888 4285 P 2135 4040 P 2131 4095 P 2233 4014 P 2042 4042 P 2197 4040 P 2287 4138 P 2068 4075 P 2095 4083 P 2269 3987 P 2059 4078 P 2140 4098 P 2095 4062 P 2140 4057 P 2157 4042 P 2157 4067 P 2313 4126 P 2068 4040 P 2100 4060 P 2224 4070 P 2024 4067 P 2313 4118 P 2126 4095 P 2131 4095 P 2024 4060 P 2046 4052 P 2140 4035 P 2028 4055 P 2059 4075 P 2295 4141 P 2037 4045 P 1997 4060 P 2171 4075 P 2042 4055 P 2010 4060 P 2304 3989 P 2126 4095 P 1993 4055 P 2015 4055 P 2344 3966 P 2309 3974 P 2282 4060 P 2157 4014 P 2229 4004 P 2197 4024 P 2224 4060 P 2024 4052 P 2028 4065 P 2055 4042 P 2064 4065 P 2175 4080 P 2162 4014 P 2068 4035 P 2126 4055 P 1988 4052 P 2313 4118 P 2839 4272 P 2215 4007 P 2059 4060 P 2064 4057 P 2117 4078 P 2015 4050 P 2834 3815 P 2010 4062 P 3360 4434 P 2104 4083 P 1988 4057 P 2278 4085 P 2460 4131 P 2042 4055 P 2180 4030 P 2010 4045 P 2438 4156 P 2175 4047 P 2371 4168 P 2287 4002 P 2741 3843 P 2010 4057 P 2082 4040 P 2220 3994 P 2572 4156 P 2037 4062 P 2202 4098 P 2064 4037 P 2006 4050 P 2460 4174 P 2193 4115 P 2821 4280 P 2059 4055 P 1993 4055 P 2073 4060 P 2211 4052 P 2278 4133 P 2536 3906 P 2162 4014 P 2478 4126 P 2104 4062 P 2037 4060 P 2625 4176 P 2135 4060 P 2656 3911 P 3511 4247 P 2157 4065 P 2171 4027 P 2278 4009 P 2197 4110 P 2478 4143 P 3623 4275 P 2273 4108 P 2393 4158 P 2527 4201 P 2817 4282 P 2291 4072 P 2086 4080 P 2091 4040 P 2634 4216 P 2251 3979 P 2255 4035 P 2077 4062 P 2019 4060 P 2033 4052 P 2304 4098 P 3262 4042 P 2264 4062 P 2545 4201 P 2442 4110 P 2291 4030 P 2064 4050 P 2362 4158 P 2015 4055 P 2189 4027 P 2042 4075 P 2629 4110 P 2002 4055 P 2941 4310 P 2442 4153 P 2033 4055 P 2344 3999 P 2215 4050 P 2091 4070 P 2108 4047 P 2006 4057 P 2238 4012 P 3502 4489 P 2051 4067 P 2318 4156 P 2010 4062 P 2091 4057 P 2309 4108 P 2100 4022 P 2175 4032 P 2233 4095 P 2189 4110 P 2166 4052 P 2197 4007 P 2157 4052 P 1993 4060 P 2799 3994 P 2229 4024 P 2171 4032 P 2140 4065 P 2046 4057 P 2309 4131 P 2046 4062 P 2140 4052 P 2732 4146 P 3382 4429 P 2269 4118 P 2064 4057 P 2540 3901 P 2238 4078 P 2051 4078 P 2162 4004 P 2059 4042 P 2135 4057 P 2420 3949 P 3102 4305 P 2126 4052 P 2042 4062 P 2077 4030 P 2215 4014 P 2171 4070 P 2171 4062 P 2033 4042 P 2064 4047 P 4816 4780 P 2269 4014 P 2763 4227 P 2580 4151 P 2175 4052 P 4086 4651 P 2010 4045 P 3364 4123 P 2100 4047 P 2086 4040 P 2108 4027 P 2923 4292 P 4812 4515 P 3507 4474 P 2189 4060 P 2291 4035 P 2304 4062 P 1988 4055 P 2260 4115 P 2429 4148 P 2701 4156 P 2465 4179 P 2037 4065 P 2104 4045 P 2166 4030 P 2086 4065 P 2879 3835 P 2033 4050 P 2180 4105 P 2002 4060 P 2180 4024 P 2171 4050 P 2122 4072 P 2091 4062 P 2108 4055 P 2416 4151 P 2131 4080 P 2264 4032 P 2398 4171 P 2531 4196 P 2051 4052 P 2300 4019 P 2046 4075 P 2140 4050 P 2051 4052 P 2246 4002 P 2238 4065 P 2202 4110 P 2051 4080 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2946 3792 P 2082 4067 P 2086 4042 P 2037 4062 P 2055 4060 P 2162 4083 P 2028 4067 P 2171 4030 P 2220 4032 P 2082 4083 P 3925 3590 P 2264 4143 P 2790 3987 P 2068 4050 P 2015 4062 P 1984 4060 P 2028 4065 P 2678 4186 P 2385 4136 P 2407 4103 P 2104 4027 P 1993 4055 P 1979 4060 P 2104 4057 P 2104 4062 P 2002 4062 P 2059 4065 P 2224 4080 P 2068 4062 P 2122 4052 P 2202 4040 P 2113 4055 P 1993 4060 P 2385 4163 P 2327 3959 P 2104 4027 P 2340 4108 P 2469 3923 P 2157 4009 P 2015 4055 P 2073 4042 P 2647 4062 P 2055 4052 P 2206 4113 P 2202 3999 P 2162 4098 P 3061 3795 P 2122 4088 P 2108 4072 P 2055 4067 P 2126 4052 P 2224 4120 P 2051 4062 P 2162 4095 P 2385 4148 P 2897 3901 P 2068 4065 P 2483 4110 P 2171 4040 P 1979 4055 P 1993 4062 P 2002 4065 P 1984 4052 P 2082 4060 P 2518 4163 P 2166 4108 P 2006 4052 P 2385 4151 P 1988 4057 P 2260 4113 P 1997 4057 P 2006 4050 P 2019 4070 P 1984 4060 P 1993 4062 P 2006 4050 P 2100 4062 P 2077 4052 P 2402 4161 P 2340 4072 P 1975 4057 P 1979 4060 P 2140 4037 P 2037 4045 P 3948 3554 P 1975 4060 P 2006 4052 P 2059 4067 P 2055 4040 P 2015 4062 P 2287 4105 P 2189 4088 P 2545 4206 P 2077 4055 P 2189 4004 P 2104 4022 P 2193 4093 P 2580 4216 P 2059 4040 P 2238 4090 P 2019 4057 P 2028 4072 P 2010 4052 P 1997 4062 P 2006 4052 P 2010 4055 P 2166 4057 P 1993 4060 P 2086 4032 P 1988 4062 P 2135 4080 P 2126 4032 P 2091 4047 P 2572 3891 P 2113 4040 P 2051 4075 P 2051 4062 P 2763 4254 P 2353 4055 P 2126 4047 P 2153 4007 P 2469 4113 P 2046 4050 P 2122 4040 P 2389 4022 P 2117 4057 P 5088 4916 P 2122 4078 P 2184 4095 P 2037 4065 P 2108 4075 P 2469 4158 P 2621 4019 P 2776 3865 P 2144 4057 P 2193 4088 P 3591 3625 P 2193 4113 P 2028 4065 P 2999 3885 P 5319 3686 P 2153 4083 P 2336 3961 P 2233 4070 P 2113 4060 P 3765 3572 P 2309 4128 P 2385 4067 P 2220 4067 P 2585 4201 P 2540 4204 P 2073 4080 P 2149 4012 P 2131 4080 P 2251 4100 P 2037 4062 P 2037 4070 P 2068 4052 P 2055 4085 P 2077 4085 P 2019 4057 P 2059 4050 P 2857 4262 P 2180 4040 P 2046 4035 P 1993 4057 P 2977 4297 P 2064 4060 P 2229 4017 P 2434 4136 P 2242 4120 P 2100 4027 P 2491 4184 P 2149 4100 P 2091 4075 P 1993 4060 P 2220 4123 P 2082 4040 P 2563 3903 P 2006 4062 P 2055 4065 P 2033 4057 P 2006 4065 P 2051 4080 P 1993 4060 P 2073 4032 P 2131 4100 P 3591 4431 P 1997 4057 P 2002 4062 P 2215 4072 P 2055 4065 P 2157 4057 P 2407 4176 P 2086 4042 P 2086 4032 P 2264 4035 P 2086 4042 P 2042 4067 P 1984 4057 P 2874 4128 P 2300 4062 P 2385 4085 P 3102 4315 P 2527 4083 P 2959 4338 P 1984 4057 P 2469 4108 P 2327 4070 P 2300 4126 P 2033 4072 P 2714 4138 P 2336 4065 P 3667 3901 P 2113 4030 P 2006 4060 P 2086 4088 P 2344 4080 P 2153 4057 P 2064 4040 P 2180 4040 P 2344 3954 P 2135 4093 P 2621 3999 P 2732 4095 P 2126 4030 P 2073 4047 P 2010 4065 P 2594 4158 P 2322 4120 P 2407 4065 P 2558 4067 P 2246 4042 P 2131 4032 P 2131 4035 P 2879 4239 P 2028 4055 P 2754 3916 P 2344 4126 P 2251 3987 P 2398 4050 P 2184 4042 P 2117 4019 P 2077 4045 P 2300 4100 P 2042 4057 P 2206 4057 P 2122 4085 P 2144 4032 P 2033 4045 P 3115 3827 P 2469 4007 P 2019 4072 P (,) 1 Pchar 2282 3974 P 3631 3875 P 3204 3782 P 2416 4030 P 2095 4045 P 2817 4267 P 2100 4030 P 2416 4075 P (,) 1 Pchar 2300 4012 P 2166 4065 P 3217 4065 P 3302 3716 P 2389 4017 P 2282 4093 P 4197 4424 P (,) 1 Pchar 2206 4035 P 2215 4103 P 2100 4075 P 3649 4499 P 2349 4128 P 2015 4060 P 2727 4219 P 3017 4037 P 3431 4009 P (,) 1 Pchar 2162 4090 P 3048 4237 P 2229 4083 P 3596 4295 P 2215 3997 P 2002 4060 P 2264 4037 P 2184 4002 P 4046 4254 P 2242 4050 P 2206 4100 P 2166 4083 P 2304 4075 P 2398 4128 P 2193 4022 P 2968 4216 P 4531 3453 P (,) 1 Pchar 2238 4083 P 2741 4024 P 2033 4057 P 2171 4067 P (,) 1 Pchar 3053 4330 P 2149 4012 P 2091 4078 P 2514 4189 P 2269 4072 P 2131 4088 P 2122 4052 P 1988 4057 P 1997 4062 P (,) 1 Pchar 2643 3928 P 2278 4057 P 4117 4522 P 3262 4419 P 2046 4057 P 2527 4030 P 2300 4042 P 2692 3981 P 2166 4022 P 2033 4062 P 2483 3951 P (,) 1 Pchar 2852 4254 P 2434 4143 P (,) 1 Pchar 2478 4037 P 2727 4244 P 2269 4126 P (,) 1 Pchar 2202 4126 P 2362 4050 P (,) 1 Pchar 2385 3994 P 3137 4376 P 2821 4014 P 2598 4234 P 2723 4254 P 2059 4065 P 2946 4211 P 3894 4565 P 2193 4012 P 2251 4009 P (,) 1 Pchar 3774 4434 P 2184 4019 P 2073 4040 P 4059 4477 P 2175 4007 P 2563 3893 P 2362 3984 P 2242 4032 P 3409 3822 P 3151 4126 P 2113 4085 P 2202 4012 P 2055 4055 P 2015 4062 P 2260 4055 P 2100 4070 P 2122 4075 P 2131 4085 P (,) 1 Pchar 2385 4141 P 2184 4098 P 2603 4072 P 2674 4244 P 2224 4072 P 2300 4024 P 2051 4070 P 2986 3795 P 2051 4070 P 2246 4083 P (,) 1 Pchar 2255 4057 P 2322 4085 P 2331 4153 P 2251 4088 P 3685 4479 P 2456 4166 P 2527 3961 P 2033 4060 P 2376 4057 P 2456 4166 P 2295 4042 P 2255 4040 P 2077 4088 P 2910 4318 P 2037 4057 P 2091 4078 P 2171 4030 P 2385 4052 P 2073 4078 P 2055 4047 P 2144 4083 P 2180 4042 P 2839 4060 P 2385 4105 P 2509 4093 P 2304 4042 P 3017 4128 P 2598 3908 P 2598 3898 P 2910 4239 P 3119 4095 P 2371 3976 P 2616 4199 P 3440 3693 P 2197 4105 P 2567 4131 P 2585 3984 P 2206 4078 P 3182 4176 P 2051 4080 P 2233 4040 P 2344 4007 P 2059 4062 P 2883 4234 P 2246 4060 P 2077 4062 P 2380 3976 P 2180 4093 P 2104 4042 P 2336 4067 P 3124 4163 P 2790 3906 P (,) 1 Pchar 3213 3923 P 2215 4032 P 2638 4176 P 2358 4075 P 2656 4115 P 2665 4067 P 2149 4088 P 3293 4421 P 2407 3974 P 2705 4115 P 2830 4219 P 2313 4037 P 2701 4141 P 2402 3984 P 2491 4040 P 2291 4052 P 2166 4103 P 2269 4133 P 2398 3979 P 2131 4083 P 3217 4371 P 2086 4057 P 2897 4259 P 2131 4075 P 2193 4113 P 2073 4055 P 2393 4090 P 2184 4004 P 2255 4070 P 2233 4027 P 2269 4078 P 2843 4290 P 2108 4057 P 3070 3792 P 2287 3989 P 2442 4105 P 2273 4032 P 2233 4027 P 2086 4080 P 2153 4042 P 2077 4080 P 2131 4085 P 1993 4062 P 2336 4158 P 2202 4103 P 2580 4209 P 2140 4050 P 2189 4027 P 2077 4065 P 2157 4060 P 2037 4052 P 2211 4115 P 2594 4171 P 2460 4151 P 2202 4085 P 2505 4118 P 2322 4067 P 2117 4030 P 2434 4095 P 2402 4133 P 2255 4040 P 2193 4060 P 2064 4045 P 2264 4072 P 2425 4158 P 2042 4070 P 2376 4040 P 2291 4007 P 2385 3999 P 2238 4017 P 2042 4072 P 2033 4067 P 2010 4065 P 2162 4062 P 2149 4030 P 2278 4007 P 2883 4148 P 2768 4052 P 2046 4050 P 2135 4088 P 2028 4057 P 2313 4128 P 2287 4100 P 2496 4060 P 3373 4153 P 3485 3701 P 2100 4062 P 3596 4474 P (,) 1 Pchar 3355 4136 P 3035 3936 P 2358 4030 P 3894 4411 P 5155 4886 P 2389 4027 P 2678 4143 P 2104 4040 P 2741 4174 P 2554 4204 P 2224 4035 P 2300 4113 P 2273 4055 P 3159 3931 P 2977 4057 P 2768 4126 P 2527 4002 P 2140 4027 P 2759 4060 P 2126 4078 P 2189 4070 P 2051 4075 P (,) 1 Pchar 2126 4095 P 3128 4363 P 2647 4128 P 2104 4090 P 2153 4032 P 2113 4067 P 2246 3989 P 2558 4050 P 2193 4024 P 2211 4024 P 2536 3974 P 2790 3911 P 2246 4098 P 2255 4002 P 2500 4065 P 2202 4113 P 2478 4035 P 2674 3880 P 2536 4035 P 2402 4113 P 2077 4078 P 2674 3908 P 2287 4100 P 2251 4037 P 2447 4148 P 2242 4047 P 2184 4085 P 2456 4156 P 2113 4088 P 2059 4078 P 2282 4151 P 2229 4128 P 2500 4184 P 2438 4143 P 2180 4098 P (,) 1 Pchar 2727 4270 P 2919 4136 P 4473 3514 P 2438 3969 P 2367 4047 P 4593 3484 P (,) 1 Pchar 2126 4057 P 2576 3971 P 2193 4047 P 2166 4007 P 2073 4070 P 2910 3843 P 2051 4050 P 2955 4080 P 2117 4045 P 2149 4070 P 2166 4093 P 2113 4052 P 2434 4174 P 3248 3850 P 2362 4045 P 2371 4100 P 2051 4065 P 2371 4103 P 2068 4062 P 2206 4040 P 2149 4027 P 2193 4085 P 2091 4090 P 2108 4075 P 2162 4100 P 2144 4060 P 2149 4024 P 2144 4085 P 2327 4100 P 2122 4037 P 2046 4062 P 2327 4093 P 1988 4065 P 2687 4237 P 2197 4115 P 2527 3949 P 2131 4105 P 2238 4078 P 2278 4040 P 2580 4156 P 2322 4042 P 3048 4141 P 2821 3999 P 3805 3678 P 2429 4014 P 2126 4019 P 4001 4237 P 2634 4128 P 3306 3706 P 2059 4045 P 2171 4027 P 2229 4080 P 2371 4176 P 2184 4105 P 2874 4174 P 2211 4095 P 2224 4070 P 2006 4065 P 2108 4072 P 2995 3933 P 3119 4360 P 2429 4057 P 2055 4055 P 2037 4057 P 2019 4062 P 2006 4067 P 2153 4108 P 2055 4070 P 2327 4108 P 2033 4065 P 2117 4030 P 2224 4095 P 2229 4050 P 2202 4083 P 2197 4052 P 2309 4148 P 2175 4083 P 2095 4083 P 2558 4151 P 2068 4037 P 2429 4133 P 2140 4108 P 2126 4042 P 2879 4300 P 2059 4085 P 2220 4085 P 2068 4065 P 2073 4070 P 2545 4141 P 2264 4027 P 2077 4065 P 2068 4047 P 2968 4345 P 2042 4085 P 2189 4093 P 2255 4075 P 2322 3994 P 2385 4161 P 2037 4057 P 2104 4024 P 2300 3984 P 2304 4095 P 2117 4083 P 2171 4019 P 2229 4108 P 2647 3928 P 2420 4113 P 2064 4062 P 2140 4085 P 3110 3992 P 3574 4406 P 3449 4348 P 2037 4072 P 2616 3944 P 2095 4065 P 2224 4055 P 2589 4126 P 2095 4088 P 2500 3999 P 2238 4002 P 2269 4065 P 2082 4055 P 2082 4052 P 2068 4065 P 2531 4075 P 2211 4128 P 2367 4078 P 2149 4103 P 2140 4072 P 2621 4131 P 2189 4072 P 2402 4131 P 2260 4027 P 3066 3946 P 2149 4075 P 2402 4083 P 2166 4080 P 2955 3845 P 4322 4131 P 2460 3994 P 2269 4065 P 2295 4115 P 3765 4037 P 2799 3989 P 2242 3999 P 2233 4118 P 2456 3999 P 3297 4287 P 2670 4032 P 2794 4163 P 2233 4113 P 2304 4148 P 2024 4060 P 2318 4078 P 2434 4148 P 2603 4027 P 2790 3933 P 3360 3974 P 2327 4110 P 2509 4166 P 2033 4070 P 2367 4050 P 2091 4035 P 2295 4123 P 2531 3961 P 2238 4110 P 2269 4022 P 2175 4118 P 2051 4065 P 2086 4045 P 2149 4055 P 2117 4080 P 2322 4141 P 2149 4060 P 2505 3954 P 2193 4126 P 2010 4052 P 2260 4138 P 2447 4176 P 2068 4062 P 2037 4075 P 2919 4216 P 2540 4209 P 2077 4072 P 2135 4080 P 2233 4019 P 2046 4050 P 2278 4138 P 2157 4057 P 2149 4055 P 2055 4060 P 2010 4070 P 2300 4115 P 2149 4030 P 2153 4103 P 2478 4060 P 2843 4131 P 2260 4083 P 2251 4080 P 2389 4128 P 2451 4123 P 2393 4174 P 2732 4204 P 2260 4138 P 2149 4035 P 2763 3961 P 3444 3865 P 2051 4052 P 2108 4050 P 2233 4045 P 2451 4030 P 2144 4042 P 2193 4042 P 3142 3754 P 2051 4078 P 2104 4047 P 3605 3628 P 2193 4009 P 2055 4078 P 2059 4040 P 2469 3951 P 2100 4037 P 2193 4070 P 2215 4050 P 2086 4088 P 2064 4050 P 2295 4148 P 2184 4050 P 2100 4088 P 2055 4065 P 2255 4093 P 2077 4062 P 2100 4030 P 2215 4014 P 2019 4075 P 2808 4151 P 2166 4019 P 2491 3979 P 2242 4075 P 2790 3908 P 2638 4037 P 2189 4067 P 4019 3504 P 2171 4019 P 3845 4580 P 2082 4075 P 2932 4209 P 2273 4027 P 2091 4067 P 3618 3764 P 2460 4100 P 2358 4093 P 2705 4270 P 2483 3931 P 2509 4153 P 3057 4277 P 2282 4098 P 2077 4078 P 2197 4100 P 2086 4055 P 2144 4075 P 2197 4055 P 2251 4007 P 2073 4070 P 2059 4072 P 2100 4065 P 2242 4047 P 2171 4090 P 2077 4057 P 2260 4110 P 2434 4062 P 2380 4105 P 2140 4070 P 2496 4065 P 2113 4083 P 2229 4017 P 2100 4030 P 2340 4070 P 2327 4075 P 2122 4032 P 2825 4019 P 2344 4070 P 2554 3969 P 2104 4052 P 2772 3863 P 2589 4093 P 2100 4072 P 2732 3906 P 2407 3981 P 2006 4057 P 2157 4062 P 2033 4060 P 2166 4060 P 3582 4477 P (,) 1 Pchar 2362 3966 P 2407 4176 P 2278 4138 P 3538 3691 P 4665 3325 P 3222 3891 P 2527 4189 P 2197 4093 P 2193 4062 P 2434 4057 P 2131 4100 P 2563 3918 P 2015 4055 P 1988 4065 P 2861 4285 P 2376 3961 P 2171 4100 P 2246 4095 P 2287 4062 P 2059 4060 P 2215 4075 P 2104 4088 P 2006 4067 P 2264 4007 P 3957 3552 P 2010 4055 P 2255 4115 P 2776 3908 P 2131 4103 P 2928 4272 P 2184 4088 P 2336 4090 P 2082 4072 P 4250 4588 P 2527 3939 P 2126 4100 P 2937 3974 P 2821 4234 P 2166 4098 P 2006 4065 P 2621 3941 P 2131 4075 P 2024 4072 P (,) 1 Pchar 2055 4088 P 2817 4216 P 3079 4211 P 2638 4224 P 2389 3969 P 2736 4166 P 2077 4050 P 2260 3997 P 2251 4093 P 2255 4030 P 2264 4045 P 2260 4088 P 2385 4168 P 2656 4216 P 2091 4062 P 2411 4072 P 2238 4105 P 2719 4153 P 2140 4032 P 3903 4512 P 2282 4062 P 3516 3709 P 2269 4080 P 2594 4120 P 2505 4128 P 3235 4333 P 2719 4204 P 2376 4024 P 2189 4118 P 2367 4143 P 2140 4098 P 3102 4348 P 2790 4232 P 2393 3989 P 2465 4171 P 2255 4098 P 2999 3827 P 2073 4050 P 2211 4131 P 2331 3994 P (,) 1 Pchar 2246 4027 P 2104 4085 P 2153 4080 P 2189 4078 P 2376 4060 P 2108 4070 P 2456 4113 P 2202 4098 P 2189 4120 P 2318 4083 P 2540 4098 P 2647 4143 P 2487 4189 P 2015 4062 P 2064 4047 P 2322 4115 P 2126 4052 P 2322 4113 P 2273 4072 P 2411 4163 P 2113 4060 P 2518 4184 P 2059 4045 P 2380 4141 P 2358 3969 P 2260 4098 P 2042 4065 P 1993 4062 P 2100 4032 P 2282 4120 P 2220 4103 P 2950 4232 P 2140 4047 P 2870 4219 P 2380 4176 P 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3994 P 3854 3534 P 2723 3916 P 2291 4052 P 2131 4045 P 2603 3903 P 2554 4009 P 2380 3966 P 2251 4024 P 2108 4022 P 2220 4004 P 2420 4088 P 2336 4090 P 2834 3853 P 2389 3979 P 3462 3643 P 4473 3567 P 3021 3875 P 2318 4002 P 2287 3984 P 3266 3875 P 3703 3744 P 3631 3759 P 3284 3691 P 2554 4019 P 2171 4093 P 2046 4067 P 2068 4067 P 1988 4065 P 2064 4035 P 2184 4035 P 2095 4078 P 2135 4067 P 2393 3956 P 4184 3537 P 3476 3719 P 2434 4126 P 2229 4007 P 2398 3984 P 2224 4027 P (,) 1 Pchar 2977 3784 P 2598 3898 P 2211 4037 P 2264 4012 P 2184 4037 P 3070 4211 P 2220 4027 P 4375 3393 P 3128 4204 P 2376 4030 P 2474 4098 P 2710 4085 P 2839 4032 P 4874 3259 P 2220 4042 P 2362 4030 P 3248 4158 P 2603 3999 P 2131 4030 P 2469 3936 P 2095 4040 P 2113 4042 P 2834 3843 P 2242 3999 P 2683 3908 P 5413 3362 P 4344 3431 P 2318 4035 P 2304 4017 P 2086 4055 P 2434 4024 P 2456 3961 P 2393 4093 P 3102 3754 P 3373 3795 P 2340 4143 P 2278 4017 P 3819 3552 P 2019 4065 P 3431 3658 P 2287 4067 P 2540 4136 P 2055 4045 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4060 P 2095 4052 P 2336 4156 P 2189 4030 P 2095 4045 P 2687 3923 P 4090 4497 P 4077 4505 P 3387 4297 P 2144 4072 P 2367 4163 P 1993 4057 P 2531 4179 P 2260 4050 P 2117 4037 P 2278 4052 P 2287 4138 P 2166 4037 P 2955 3822 P 2171 4027 P 2140 4012 P 3854 4575 P 1997 4055 P 2064 4050 P 2086 4078 P 1993 4060 P 2206 4032 P 2024 4060 P 2073 4037 P 2024 4067 P 2028 4060 P 3191 3820 P 2465 4146 P 2166 4024 P 3191 3714 P 1979 4052 P 2411 4055 P 2206 4105 P 2135 4030 P 2246 4002 P 2264 4012 P 2135 4065 P 2264 4110 P 2402 3994 P 2959 3880 P 2068 4040 P 2861 4191 P 2059 4055 P 2064 4072 P 4188 4583 P 3253 3701 P 2108 4035 P 2879 4100 P 2144 4088 P 2104 4093 P 2540 4179 P 2149 4037 P 2042 4050 P 2077 4083 P 2166 4075 P 2086 4037 P 1997 4055 P 2082 4045 P 1993 4057 P 2068 4078 P 2095 4062 P 1975 4055 P 1984 4052 P 2246 4042 P 2126 4047 P 2166 4037 P 2336 4100 P 2126 4050 P 2149 4047 P 2233 4085 P 2028 4067 P 2140 4057 P 2674 3875 P 2059 4060 P 2126 4037 P 2469 4176 P 2042 4060 P 2024 4060 P 2033 4067 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P 2108 4050 P 2313 3984 P 2189 4022 P 1988 4065 P 2349 4128 P 2224 4108 P 1970 4065 P 2393 4123 P 2246 4047 P 2336 3969 P 2242 4115 P 2670 4201 P 2371 4131 P 2309 4110 P 3008 3933 P 2171 4098 P 2086 4070 P 2095 4055 P 2068 4062 P 2465 4174 P 2010 4055 P 2193 4060 P 2487 4176 P 2126 4060 P 2295 4153 P 2398 4113 P 2260 4060 P 2184 4067 P 2643 4095 P 2113 4070 P 2304 4095 P 2113 4093 P 2487 4206 P 1988 4057 P 2215 4060 P 2064 4045 P 2077 4042 P 2309 4098 P 2157 4093 P 2246 4095 P 1984 4060 P 2042 4070 P 2028 4072 P 2469 4189 P 2474 4133 P 2304 4062 P 2042 4067 P 2042 4070 P 2211 4090 P 2091 4045 P 2572 4088 P 2077 4093 P 2149 4100 P 1988 4060 P 2211 4012 P 2077 4047 P 2282 4078 P 2273 4009 P 2082 4065 P (,) 1 Pchar 2028 4065 P 2157 4022 P 2589 4206 P 2251 4138 P 2238 3999 P 2126 4022 P 2327 4133 P 2572 4027 P 1984 4062 P 2603 4057 P 2131 4080 P 2077 4062 P 2362 3961 P 2157 4032 P 2171 4083 P 2478 4168 P 2184 4070 P 2055 4045 P 2082 4078 P 2580 4153 P 2460 3936 P 2300 3997 P 2033 4067 P 2082 4032 P 2024 4045 P 2670 4239 P 2540 3974 P 1997 4065 P 2131 4047 P 2091 4057 P 2144 4060 P 2046 4055 P 2500 4100 P 2117 4040 P (,) 1 Pchar 2028 4050 P 2073 4052 P 2206 4045 P 3137 4383 P 2091 4050 P 2402 4156 P 2015 4067 P 2037 4080 P 2073 4045 P 2140 4027 P 2104 4040 P 2140 4007 P (,) 1 Pchar 2006 4045 P (,) 1 Pchar 2727 3845 P 2144 4090 P 2064 4085 P 2082 4070 P 2411 3989 P 2950 4307 P 2251 4141 P 2002 4052 P 1993 4062 P 2015 4067 P 2051 4067 P 2229 4095 P 2211 4115 P 1984 4055 P 2322 4090 P 1984 4065 P 2246 4115 P 2010 4065 P 2077 4080 P 2095 4065 P 2064 4080 P 3070 4310 P 2117 4057 P 2171 4027 P 2095 4065 P 2202 4009 P 2197 4007 P 2251 4136 P (,) 1 Pchar 4669 4795 P 4371 4732 P 2104 4052 P grestore gsave newpath 357 1797 M 5763 1797 L 5763 6123 L 357 6123 L closepath clip newpath [] 0 setdash 5 setlinewidth 0 setgray 0.5 0 1.5 3199 5930 (ntp.umd3) T 0.5 0 1 3199 2024 (Delay \(sec\)) T 0.5 90 1 443 4030 (Offset \(sec\)) T 973 2514 M 973 2574 L S 1863 2514 M 1863 2574 L S 2754 2514 M 2754 2574 L S 3645 2514 M 3645 2574 L S 4536 2514 M 4536 2574 L S 5426 2514 M 5426 2574 L S 973 2514 M 5426 2514 L S 0.5 0 1 973 2304 (0.0) T 0.5 0 1 1863 2304 (0.2) T 0.5 0 1 2754 2304 (0.4) T 0.5 0 1 3645 2304 (0.6) T 0.5 0 1 4536 2304 (0.8) T 0.5 0 1 5426 2304 (1.0) T 933 2514 M 994 2514 L S 933 3019 M 994 3019 L S 933 3524 M 994 3524 L S 933 4030 M 994 4030 L S 933 4535 M 994 4535 L S 933 5040 M 994 5040 L S 933 5545 M 994 5545 L S 933 2514 M 933 5545 L S 0.5 90 1 723 2514 (-0.6) T 0.5 90 1 723 3019 (-0.4) T 0.5 90 1 723 3524 (-0.2) T 0.5 90 1 723 4030 (0.0) T 0.5 90 1 723 4535 (0.2) T 0.5 90 1 723 5040 (0.4) T 0.5 90 1 723 5545 (0.6) T grestore gsave newpath 930 2511 M 5469 2511 L 5469 5549 L 930 5549 L closepath clip newpath [] 0 setdash 5 setlinewidth 0 setgray 933 5545 M 933 2514 L 5465 2514 L 5465 5545 L 933 5545 L S grestore gsave grestore %%Trailer %%Pages: 1 end %%EndFile svobj restore gr gs /svobj save def greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset 225 2072 2324 2072 2324 1774 225 1774 np mto lto lto lto clip np /tface 8 def 8 encfont colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 1023 1914 505 4 (Figure 3. Offset vs Delay)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset -75 3374 2624 3374 2624 2825 -75 2825 np mto lto lto lto clip np /tface 4 def 4 encfont colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 2979 227 1 (RFC 1128)fjt 805 2979 941 5 (Performance of the Network Time Protocol)fjt 1948 2979 302 1 (October 1989)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset -75 474 2624 474 2624 -75 -75 -75 np mto lto lto lto clip np /tface 4 def colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 279 100 0 (Mills)fjt 2065 279 186 1 (Page 10)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np %End page showpage svobj restore gr gs /svobj save def %Begin page UserSoP greset -75 3374 2624 3374 2624 -75 -75 -75 np mto lto lto lto clip np /tface 8 def 8 encfont colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 747 1817 18 (delay and use its associated offset as the estimate. This is the basis of the NTP Version 2 alg)fjt 2117 747 133 0 (orithm)fjt 300 689 640 4 (described in detail in [MIL89b].)fjt 300 574 167 1 (Figure 4)fjt 467 574 1784 16 ( shows the raw time-offset series for the path under study over a six-day interval, in which)fjt 300 516 1227 9 (occasional errors up to several seconds are apparent. Figure 5)fjt 1527 516 723 5 ( shows the time-offset series filtered)fjt 300 457 1950 15 (by the NTP Version 2 algorithm, in which large errors have been dramatically reduced and may)fjt 300 399 1754 13 (even reveal a subtle diurnal traffic variation over this path. Finally, the overall performa)fjt 2054 399 197 2 (nce of the)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset 225 2980 2324 2980 2324 1926 225 1926 np mto lto lto lto clip np greset 75 3130 2475 3130 2475 1774 75 1774 np mto lto lto lto clip np svobj restore gr gs /svobj save def 657 2905 657 1999 1892 1999 1892 2905 np mto lto lto lto clip np 657 1999 translate 300 72 div dup scale 1236 300 div 541 72 div div 907 300 div 397 72 div div scale -36 -180 translate %%BeginFile: C:\TYPESET\PAPERS\GLO4.EPS %!PS-Adobe-2.0 EPSF 2.0 %%BoundingBox: 36 180 576 576 %%DocumentFonts: Helvetica-Bold Symbol %%Creator: mills %%CreationDate: Mon Aug 28 15:00:51 1989 %%Pages: (atend) %%EndComments /$Sdict 25 dict def $Sdict begin % variables /basesize 160 def /oldcex 1 def /cex 1 def /ratio 1 def /pch (*) def /coffset basesize -0.345 mul def % vertical offset for characters /pcxshift 0 def % procedures /checksize % adjust font size if needed. Stack: cex { /cex exch def oldcex cex ne % scale sizes { /ratio cex oldcex div def /TextFont TextFont ratio scalefont def /PchFont PchFont ratio scalefont def /coffset coffset ratio mul def /oldcex cex def } if } def /Pchar % the plot character. Stack: string cex { checksize /pch exch def pch (.) eq % replace period by bullet { (\267) pch copy pop } if pch (,) eq % replace comma by middot { (\264) pch copy pop } if /PchFont TextFont def pch (*) eq pch (+) eq or % switch to symbol font for these characters { /PchFont /Symbol findfont basesize oldcex mul scalefont def } if PchFont setfont pch stringwidth pop neg 2 div /pcxshift exch def } def /M {moveto} def % move to a point. Stack: x y /L {lineto} def % line to a point. Stack: x y /S {stroke} def /P % plot a character at a point. Stack: x y { M % move to the point pcxshift coffset rmoveto % offset for the character pch show } def /T % show a text string. Stack: adj srot cex x y string { /str exch def M % move to the point (pops x and y) checksize % change size if necessary (pops cex) TextFont setfont dup rotate exch % (moves adj to top) str stringwidth pop neg mul % pops adj coffset rmoveto str show neg rotate } def /Sub %add a subscript. Stack: string srot { oldcex 0.75 mul checksize TextFont setfont dup rotate oldcex -0.5 mul basesize mul 0 exch rmoveto exch show oldcex 0.5 mul basesize mul 0 exch rmoveto neg rotate oldcex 4 3 div mul checksize TextFont setfont } def /Sup %add a superscript. Stack: string srot { oldcex 0.75 mul checksize TextFont setfont dup rotate oldcex 0.5 mul basesize mul 0 exch rmoveto exch show oldcex -0.5 mul basesize mul 0 exch rmoveto neg rotate oldcex 4 3 div mul checksize TextFont setfont } def /F % change the base font. Stack: fontname { /TextFont exch findfont basesize oldcex mul scalefont def /PchFont TextFont def } def /ST % text in Symbol font. Stack: (as for T) { /Symbol F T /Helvetica-Bold F } def 0.1 0.1 scale %integer coordinates in 1/10's of a point 1 setlinecap 1 setlinejoin /Helvetica-Bold F %%EndProlog %%Page: 1 1 gsave newpath 930 2511 M 5469 2511 L 5469 5549 L 930 5549 L closepath clip newpath [] 0 setdash 5 setlinewidth 0 setgray 1442 3335 M 1443 3490 L 1443 3939 L 1443 2926 L 1444 4286 L 1444 4246 L 1445 3538 L 1445 3087 L 1446 3884 L 1446 3490 L 1447 3959 L 1447 3453 L 1447 3671 L 1448 3017 L 1448 3989 L 1449 3894 L 1449 3917 L 1450 2926 L 1450 3411 L 1451 3193 L 1451 2580 L 1452 3433 L 1452 3017 L 1452 3863 L 1453 3144 L 1453 2799 L 1454 3305 L 1454 3272 L 1455 3411 L 1455 3836 L 1456 3087 L 1456 3824 L 1456 3975 L 1457 2580 L 1457 4068 L 1458 3978 L 1458 3305 L 1459 3651 L 1459 3235 L 1461 4484 L 1462 4379 L 1462 4462 L 1463 4500 L 1463 3144 L 1464 2799 L 1464 2926 L 1465 2926 L 1465 5204 L 1465 3830 L 1466 4138 L 1466 2926 L 1467 2580 L 1467 3453 L 1468 2799 L 1468 3805 L 1469 2799 L 1469 3193 L 1470 2799 L 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L 1781 3193 L 1781 3741 L 1782 2799 L 1782 2926 L 1783 3087 L 1783 3017 L 1784 3899 L 1784 3411 L 1784 3362 L 1785 4079 L 1785 3235 L 1786 4183 L 1786 3272 L 1787 3362 L 1787 2799 L 1788 2580 L 1788 3640 L 1789 2926 L 1789 3087 L 1789 3235 L 1790 2926 L 1790 2799 L 1791 3235 L 1791 3144 L 1792 3235 L 1792 2580 L 1793 3235 L 1793 3017 L 1793 3335 L 1794 3272 L 1794 3335 L 1795 3955 L 1795 3538 L 1796 2799 L 1796 2580 L 1797 2580 L 1797 2799 L 1798 3580 L 1798 3453 L 1798 3629 L 1799 3453 L 1799 3144 L 1800 3017 L 1800 3629 L 1801 2799 L 1801 2580 L 1802 3335 L 1802 3087 L 1803 3335 L 1804 3335 L 1804 3453 L 1805 3305 L 1805 3193 L 1806 3335 L 1806 2926 L 1807 3388 L 1807 3017 L 1807 3453 L 1808 3507 L 1808 3144 L 1809 3681 L 1809 3538 L 1810 3017 L 1810 2580 L 1811 3889 L 1811 2799 L 1811 3411 L 1812 2799 L 1812 4122 L 1813 4079 L 1813 2580 L 1814 2926 L 1814 3017 L 1815 3553 L 1815 2926 L 1815 3757 L 1816 2580 L 1816 2799 L 1817 3453 L 1817 3144 L 1818 3411 L 1818 2799 L 1819 2580 L 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2926 L 1859 2799 L 1859 3305 L 1860 2926 L 1860 3144 L 1860 2580 L 1861 3708 L 1861 3939 L 1862 4235 L 1862 4155 L 1863 3567 L 1863 3144 L 1864 3841 L 1864 3785 L 1865 3799 L 1865 3538 L 1865 3818 L 1866 3411 L 1866 3884 L 1867 3690 L 1867 2926 L 1868 3606 L 1868 3335 L 1869 2580 L 1869 3193 L 1869 3144 L 1870 3272 L 1870 3087 L 1871 3087 L 1871 2799 L 1872 2580 L 1872 3388 L 1873 4119 L 1873 3567 L 1874 3017 L 1874 2799 L 1881 4036 L 1881 2799 L 1882 2580 L 1882 3388 L 1883 3733 L 1883 3567 L 1883 3235 L 1884 4538 L 1884 3785 L 1885 2926 L 1885 3362 L 1886 3411 L 1886 4000 L 1887 3764 L 1887 2580 L 1887 3805 L 1888 4071 L 1888 3087 L 1889 3618 L 1889 3580 L 1890 3507 L 1890 3771 L 1891 3411 L 1891 3305 L 1892 3411 L 1892 3717 L 1892 3433 L 1893 2926 L 1893 3272 L 1894 3917 L 1894 2799 L 1895 3388 L 1895 3433 L 1896 2799 L 1896 2580 L 1897 3144 L 1897 3017 L 1897 3335 L 1898 3606 L 1898 4135 L 1899 3235 L 1899 3757 L 1900 3087 L 1900 3272 L 1901 3733 L 1901 2926 L S 1901 2926 M 1901 3523 L 1902 3362 L 1902 3490 L 1903 3362 L 1903 3017 L 1904 3087 L 1905 3272 L 1905 3388 L 1905 3017 L 1906 3144 L 1906 2580 L 1907 3507 L 1907 3087 L 1908 3335 L 1908 2580 L 1909 2580 L 1909 4114 L 1910 3144 L 1910 3017 L 1910 2580 L 1911 3908 L 1911 2580 L 1912 3523 L 1912 3433 L 1913 2580 L 1913 3433 L 1914 3971 L 1914 3272 L 1914 3785 L 1915 2580 L 1915 4435 L 1916 4577 L 1916 3955 L 1917 3792 L 1917 4500 L 1918 4595 L 1918 4470 L 1919 4681 L 1919 3305 L 1919 2580 L 1920 3799 L 1920 3193 L 1921 3507 L 1921 3087 L 1922 3272 L 1922 3708 L 1923 3193 L 1923 3690 L 1923 4415 L 1924 3272 L 1924 3433 L 1925 3235 L 1925 2580 L 1926 3144 L 1926 3935 L 1927 3087 L 1927 3978 L 1928 4119 L 1928 3272 L 1928 4138 L 1929 4020 L 1929 3757 L 1930 4140 L 1930 3824 L 1931 2926 L 1931 2580 L 1932 3235 L 1932 3699 L 1932 2580 L 1933 3580 L 1933 2799 L 1934 2580 L 1934 4292 L 1935 3335 L 1935 4315 L 1936 3388 L 1936 2799 L 1937 3017 L 1937 3847 L 1937 3305 L 1938 3411 L 1938 3538 L 1939 3087 L 1939 2926 L 1940 3411 L 1940 3144 L 1941 3955 L 1941 3388 L 1941 3884 L 1942 3771 L 1942 3305 L 1943 3362 L 1943 3017 L 1944 3618 L 1944 2926 L 1945 3606 L 1945 2580 L 1946 3017 L 1946 3690 L 1946 3717 L 1947 3017 L 1947 4045 L 1948 3725 L 1948 3640 L 1949 3959 L 1949 2580 L 1950 3580 L 1950 3272 L 1950 3388 L 1951 2799 L 1951 3087 L 1952 3507 L 1952 3335 L 1953 3335 L 1953 2926 L 1954 3335 L 1954 3553 L 1955 3433 L 1955 3235 L 1955 2580 L 1956 3799 L 1956 3894 L 1957 3725 L 1957 4122 L 1958 3869 L 1958 3507 L 1959 3235 L 1959 3193 L 1959 3580 L 1960 3362 L 1960 3272 L 1961 3967 L 1961 2580 L 1962 3388 L 1962 2926 L 1963 2580 L 1963 4095 L 1964 3087 L 1964 3017 L 1964 3824 L 1965 3235 L 1965 2926 L 1966 2799 L 1966 3144 L 1967 2926 L 1967 3305 L 1968 3453 L 1968 3553 L 1968 2580 L 1969 3235 L 1969 2799 L 1970 3507 L 1970 3388 L 1971 3235 L 1971 3593 L 1972 2580 L 1972 3433 L 1973 3538 L 1973 3335 L 1973 3757 L 1974 2580 L 1974 3629 L 1975 3681 L 1975 3507 L 1976 3193 L 1976 3144 L 1977 3272 L 1977 3507 L 1977 3305 L 1978 2926 L 1978 4107 L 1979 3778 L 1979 3433 L 1980 3087 L 1980 2580 L 1981 2580 L 1981 3235 L 1981 2580 L 1982 3017 L 1982 3785 L 1983 4185 L 1983 3490 L 1984 3818 L 1984 3894 L 1985 3593 L 1985 3193 L 1986 3593 L 1986 3640 L 1986 3362 L 1987 3640 L 1987 3017 L 1988 2926 L 1988 2580 L 1989 2926 L 1989 2799 L 1990 2799 L 1990 2580 L 1991 3453 L 1991 3811 L 1992 2799 L 1992 3272 L 1993 2580 L 1993 3272 L 1994 3490 L 1994 3362 L 1994 4062 L 1995 2580 L 1995 2799 L 1996 3335 L 1996 4057 L 1997 3362 L 1997 3847 L 1998 3335 L 1999 4126 L 1999 3523 L 1999 3335 L 2000 3453 L 2000 3889 L 2001 3433 L 2001 3538 L 2002 4442 L 2002 3017 L 2003 3272 L 2003 3388 L 2004 3717 L 2004 3771 L 2004 2799 L 2005 3305 L 2005 3651 L 2006 2926 L 2006 3335 L 2007 3235 L 2007 3272 L 2008 4054 L 2008 3433 L 2008 3362 L 2009 3411 L 2009 3305 L 2010 3847 L 2010 3272 L 2011 3764 L 2011 2926 L 2012 2799 L 2012 3362 L 2013 3235 L 2013 2580 L 2013 3362 L 2014 3017 L 2014 2926 L 2015 3193 L 2015 3272 L 2016 3879 L 2016 3017 L 2017 2580 L 2017 3453 L 2017 3017 L 2018 3507 L 2018 3433 L 2019 2799 L 2019 3017 L 2020 3193 L 2020 3708 L 2021 3272 L 2021 3853 L 2022 3305 L 2022 3087 L 2022 2580 L 2023 3388 L 2023 2926 L 2024 3235 L 2024 3087 L 2025 3411 L 2025 2799 L 2026 3553 L 2026 3362 L 2026 3335 L 2027 3087 L 2027 3757 L 2028 2799 L 2028 3388 L 2029 3235 L 2029 3538 L 2030 3894 L 2030 4226 L 2030 4007 L 2031 3087 L 2031 2799 L 2032 3144 L 2032 3017 L 2033 4126 L 2033 4228 L 2034 3305 L 2034 2580 L 2035 3523 L 2035 3538 L 2036 3411 L 2036 3640 L 2037 3272 L 2037 3708 L 2038 3305 L 2038 3087 L 2039 3490 L 2039 3853 L 2040 4226 L 2040 4033 L 2040 2926 L 2041 3017 L 2041 3362 L 2042 3553 L 2042 3618 L 2043 3824 L 2043 3771 L 2044 3567 L 2044 3388 L 2044 3144 L 2045 3671 L 2045 3490 L 2046 3193 L 2046 3792 L 2047 3741 L 2047 3749 L 2048 3235 L 2048 3144 L 2048 3593 L 2049 2926 L 2049 2580 L 2050 3144 L 2050 3764 L 2051 3593 L 2051 3087 L 2052 3017 L 2052 2580 L 2053 3523 L 2053 2926 L 2053 2580 L 2054 3087 L 2054 2799 L 2055 3453 L 2055 3362 L 2056 2799 L 2056 3472 L 2057 3453 L 2057 2926 L 2057 3087 L 2058 3087 L 2058 3235 L 2059 3335 L 2059 3087 L 2060 3305 L 2060 3690 L 2061 3749 L 2061 3553 L 2062 3362 L 2062 4033 L 2062 3523 L 2063 3272 L 2063 3433 L 2064 3507 L 2064 3874 L 2065 4097 L 2065 3305 L 2066 3335 L 2066 3490 L 2066 3606 L 2067 3606 L 2067 2926 L 2068 3818 L 2068 3553 L 2069 3335 L 2069 3472 L 2070 3567 L 2070 2580 L 2071 3681 L 2071 3618 L 2071 3087 L 2072 3433 L 2072 3411 L 2073 3335 L 2073 3193 L 2074 3553 L 2074 3708 L 2075 4361 L 2075 4423 L 2075 4013 L 2076 3699 L 2076 3640 L 2077 3453 L 2077 3853 L 2078 3017 L 2078 3335 L 2079 3792 L 2079 3433 L 2080 3971 L 2080 2580 L 2080 3640 L 2081 3335 L 2081 3017 L 2082 3580 L 2082 2580 L 2083 3335 L 2083 3193 L 2084 3144 L 2084 3629 L 2084 2799 L 2085 2799 L 2085 2926 L 2086 3272 L 2086 2580 L 2087 3725 L 2087 3593 L 2088 4161 L 2088 4048 L 2089 2799 L 2089 4388 L 2089 4294 L 2090 3749 L 2090 4669 L 2091 4343 L 2091 4329 L 2092 3785 L 2092 3580 L 2093 4591 L 2093 4415 L 2093 4238 L 2094 2580 L 2094 3717 L 2095 3388 L 2095 3272 L 2096 3618 L 2096 3272 L 2097 2926 L 2097 2580 L 2098 3593 L 2098 3433 L 2098 2799 L 2099 2926 L 2100 3235 L 2100 3388 L 2101 4126 L 2101 3959 L 2102 3087 L 2102 3362 L 2102 3903 L 2103 3144 L 2103 3411 L 2104 3523 L 2104 3017 L 2105 2580 L 2105 3017 L 2106 3305 L 2106 2799 L 2107 3144 L 2107 3989 L 2107 3411 L 2108 3507 L 2108 3453 L 2109 3388 L 2109 3858 L 2109 3884 L 2109 3017 L 2110 3580 L 2111 3922 L 2111 3362 L 2111 3922 L 2112 3433 L 2112 3362 L 2113 3567 L 2113 3305 L 2114 3388 L 2114 3830 L 2115 3193 L 2115 3708 L 2116 3388 L 2116 3472 L 2116 3017 L 2117 3144 L 2117 3874 L 2118 3741 L 2118 2580 L 2119 3272 L 2119 3144 L 2120 3523 L 2120 2580 L 2121 3580 L 2121 3335 L 2122 3335 L 2122 3453 L 2123 3640 L 2123 2799 L 2124 2926 L 2124 3733 L 2124 3472 L 2125 3671 L 2125 3362 L 2126 3388 L S 2126 3388 M 2126 3717 L 2127 3305 L 2127 3899 L 2128 2926 L 2128 3733 L 2129 3272 L 2129 3771 L 2129 3335 L 2130 3144 L 2130 3087 L 2131 3472 L 2131 3671 L 2132 3947 L 2132 3305 L 2133 2926 L 2133 3899 L 2133 3087 L 2134 3661 L 2134 3629 L 2135 3661 L 2135 3087 L 2136 3305 L 2136 3087 L 2137 4614 L 2137 3606 L 2137 3771 L 2138 3771 L 2138 3362 L 2139 3879 L 2139 3858 L 2140 2580 L 2140 3235 L 2141 3235 L 2142 3193 L 2142 3017 L 2142 3193 L 2143 3087 L 2143 3884 L 2144 3757 L 2144 3433 L 2145 3362 L 2145 3733 L 2146 3884 L 2146 2799 L 2146 3193 L 2147 3986 L 2147 3411 L 2148 3017 L 2148 2799 L 2149 3681 L 2149 3144 L 2150 2799 L 2150 3144 L 2151 2580 L 2151 3651 L 2152 2799 L 2152 3362 L 2153 3144 L 2153 2799 L 2154 2926 L 2154 3087 L 2155 3433 L 2155 3606 L 2155 2580 L 2156 2799 L 2156 3235 L 2157 3523 L 2157 3362 L 2158 3388 L 2158 3335 L 2159 3335 L 2159 2926 L 2160 2926 L 2160 2580 L 2160 3087 L 2161 3017 L 2161 3087 L 2162 3681 L 2162 3411 L 2163 3235 L 2163 2799 L 2164 2926 L 2164 3433 L 2164 2580 L 2165 3717 L 2165 4013 L 2166 3453 L 2166 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L 3163 4020 L 3164 3017 L 3164 3523 L 3165 2580 L 3165 2799 L 3165 3671 L 3166 3305 L 3166 2580 L 3167 3305 L 3167 3272 L 3168 3017 L 3168 2799 L 3169 3305 L 3169 3593 L 3169 3523 L 3170 3553 L 3170 2580 L 3171 3193 L 3171 3017 L 3172 2799 L 3172 3593 L 3173 3917 L 3173 3017 L 3174 2926 L 3174 3507 L 3175 3453 L 3175 3847 L 3175 3305 L 3176 3889 L 3176 3235 L 3177 3144 L 3177 3935 L 3178 2580 L 3178 3235 L 3179 2926 L 3179 3335 L 3179 3017 L 3180 2926 L 3180 3388 L 3181 3193 L 3181 3305 L 3182 3272 L 3182 2926 L 3183 3411 L 3183 3986 L 3183 2580 L 3184 3087 L 3184 2580 L 3185 2580 L 3185 3472 L 3186 3305 L 3186 3272 L 3187 3538 L 3187 3507 L 3188 3830 L 3188 3869 L 3188 3362 L 3189 3618 L 3189 3651 L 3190 4087 L 3190 3824 L 3191 4209 L 3191 2799 L 3192 3017 L 3192 3606 L 3192 2926 L 3193 3889 L 3193 3874 L 3194 3580 L 3194 2799 L 3195 3472 L 3195 2580 L 3196 2580 L 3196 2799 L 3197 3087 L 3197 4318 L 3197 2799 L 3198 2580 L 3198 3411 L 3199 3863 L 3199 4204 L 3200 2926 L 3200 3017 L 3201 3671 L 3201 2580 L 3201 3193 L 3202 4030 L 3202 3433 L 3203 3017 L 3203 3411 L 3204 2580 L 3204 4092 L S 3204 4092 M 3205 3017 L 3205 2580 L 3206 3087 L 3206 3507 L 3206 2580 L 3207 3144 L 3207 3884 L 3208 3235 L 3208 3690 L 3209 2799 L 3209 3764 L 3210 3453 L 3210 3335 L 3210 2926 L 3211 3903 L 3211 3087 L 3212 2580 L 3212 3651 L 3213 2799 L 3213 3853 L 3214 3930 L 3214 3017 L 3214 3538 L 3215 3917 L 3215 3272 L 3216 3785 L 3216 3507 L 3217 3805 L 3217 3272 L 3218 3593 L 3218 3272 L 3219 4000 L 3219 3362 L 3219 4107 L 3220 3472 L 3220 3388 L 3221 3017 L 3221 3388 L 3222 3671 L 3222 2580 L 3223 2580 L 3223 2926 L 3223 2580 L 3224 2926 L 3224 3618 L 3225 2580 L 3225 4230 L 3226 3874 L 3226 3193 L 3227 3903 L 3227 3144 L 3228 3841 L 3228 4267 L 3228 2580 L 3229 3874 L 3229 2799 L 3230 3388 L 3230 3805 L 3231 4003 L 3231 3606 L 3232 4151 L 3232 3411 L 3232 3567 L 3233 3606 L 3233 3144 L 3234 3903 L 3234 3087 L 3235 4183 L 3235 2926 L 3236 3538 L 3236 4415 L 3237 2580 L 3237 3699 L 3237 4039 L 3238 3144 L 3238 2799 L 3238 3193 L 3238 2799 L 3239 3017 L 3239 3235 L 3240 3235 L 3240 3335 L 3241 3741 L 3241 2926 L 3242 3917 L 3242 4218 L 3242 3651 L 3243 3144 L 3243 2580 L 3244 3792 L 3244 3708 L 3245 3362 L 3245 3388 L 3246 3335 L 3246 3580 L 3247 2580 L 3247 3235 L 3247 4378 L 3248 3193 L 3248 2799 L 3249 3959 L 3249 3144 L 3250 3017 L 3250 3144 L 3251 3335 L 3251 3472 L 3251 3741 L 3252 3087 L 3253 2580 L 3253 3362 L 3254 2580 L 3254 3017 L 3255 3690 L 3255 3272 L 3256 3836 L 3256 3193 L 3256 4048 L 3257 3986 L 3257 3305 L 3258 3362 L 3258 3523 L 3259 3272 L 3259 3305 L 3260 3640 L 3260 3017 L 3260 3193 L 3261 3661 L 3261 3087 L 3262 3388 L 3262 2580 L 3263 2926 L 3263 3272 L 3264 2580 L 3264 3580 L 3265 3305 L 3265 2799 L 3266 2580 L 3266 3538 L 3267 3362 L 3268 2799 L 3268 3087 L 3269 3362 L 3269 3017 L 3270 3651 L 3270 3235 L 3271 2799 L 3271 3017 L 3272 3017 L 3272 2799 L 3273 3651 L 3273 3362 L 3274 3017 L 3274 3733 L 3275 3708 L 3275 2799 L 3276 3523 L 3277 3580 L 3277 3453 L 3278 2799 L 3278 3087 L 3278 2580 L 3279 3272 L 3279 2580 L 3280 3144 L 3280 3523 L 3281 3362 L 3281 3017 L 3282 3087 L 3282 3538 L 3283 3967 L 3283 3567 L 3283 2799 L 3284 2926 L 3284 3087 L 3285 3144 L 3285 4026 L 3286 2580 L 3286 4149 L 3287 3193 L 3287 2926 L 3287 3235 L 3288 3606 L 3288 3017 L 3289 3411 L 3289 3235 L 3290 3708 L 3290 3193 L 3291 3749 L 3291 3593 L 3292 3989 L 3292 2926 L 3292 3305 L 3293 3629 L 3293 3708 L 3294 2580 L 3294 3388 L 3295 3335 L 3295 3144 L 3296 3764 L 3296 3523 L 3296 3978 L 3297 3017 L 3298 2799 L 3298 3087 L 3299 3618 L 3299 3884 L 3300 3523 L 3300 3580 L 3300 2580 L 3301 2799 L 3301 3771 L 3302 2799 L 3302 3874 L 3303 3926 L 3303 2580 L 3304 3433 L 3304 3553 L 3305 3490 L 3305 3661 L 3305 3971 L 3306 3472 L 3306 3717 L 3307 3836 L 3307 3982 L 3308 2926 L 3308 3144 L 3309 3305 L 3309 3869 L 3309 3690 L 3310 3362 L 3310 2580 L 3311 2799 L 3311 3087 L 3312 3388 L 3312 3272 L 3313 2580 L 3313 3836 L 3314 3490 L 3314 3411 L 3314 3144 L 3315 3717 L 3315 3017 L 3316 3433 L 3316 3017 L 3317 3490 L 3317 3017 L 3318 4020 L 3318 3699 L 3319 3017 L 3319 3606 L 3319 3144 L 3320 2799 L 3320 3193 L 3321 2926 L 3321 3538 L 3322 4193 L 3322 2580 L 3323 3708 L 3323 2580 L 3323 2926 L 3324 3472 L 3325 3388 L 3325 3362 L 3326 3490 L 3326 3087 L 3327 3567 L 3327 3087 L 3328 2799 L 3328 3629 L 3328 3453 L 3329 3388 L 3329 2580 L 3330 2926 L 3330 3606 L 3331 2580 L 3331 3087 L 3332 3671 L 3332 4144 L 3333 3538 L 3333 2926 L 3333 3894 L 3334 3087 L 3335 3580 L 3335 3272 L 3336 2926 L 3336 3785 L 3337 4013 L 3337 3087 L 3337 2580 L 3338 3411 L 3338 3523 L 3339 2799 L 3339 2580 L 3340 3272 L 3340 3193 L 3341 4357 L 3341 3523 L 3342 3889 L 3342 3690 L 3342 3087 L 3343 4294 L 3343 3235 L 3344 3567 L 3344 3193 L 3345 3305 L 3345 3433 L 3346 3996 L 3346 4211 L 3346 4181 L 3347 2799 L 3347 3362 L 3348 2580 L 3348 3017 L 3349 3523 L 3349 3681 L 3350 3708 L 3350 3778 L 3351 2580 L 3351 3235 L 3351 3411 L 3352 2580 L 3352 4000 L 3353 3144 L 3353 3453 L 3354 2799 L 3354 3453 L 3355 3144 L 3355 2926 L 3355 2580 L 3356 3017 L 3356 3690 L 3357 3144 L 3357 3388 L 3358 3757 L 3358 3824 L 3359 3087 L 3359 3490 L 3360 3017 L 3360 3144 L 3360 3087 L 3361 3593 L 3361 2580 L 3362 3490 L 3362 3144 L 3363 3087 L 3363 4026 L 3364 3690 L 3364 3144 L 3364 3017 L 3365 4023 L 3365 2799 L 3366 2580 L 3366 3087 L 3367 2580 L 3367 3640 L 3368 3889 L 3368 2926 L 3369 3335 L 3369 3472 L 3369 3606 L 3370 3017 L 3370 3193 L 3371 2799 L 3371 3453 L 3372 4057 L 3372 2580 L 3373 3507 L 3373 3894 L 3373 3144 L 3374 3017 L 3374 2799 L 3375 3144 L 3376 3335 L 3376 3193 L 3377 3305 L 3377 2799 L 3377 3335 L 3378 3144 L 3378 3335 L 3379 3193 L 3379 3388 L 3380 3305 L 3380 3507 L 3381 3272 L 3381 3993 L 3382 3830 L 3382 3144 L 3382 3913 L 3383 3335 L 3383 3771 L 3384 3411 L 3384 2799 L 3385 3193 L 3385 3144 L 3386 3335 L 3386 2580 L 3386 3235 L 3387 3272 L 3387 3235 L 3388 3144 L 3388 3305 L 3389 3523 L 3389 2799 L 3390 3335 L 3390 3087 L 3391 3433 L 3391 3017 L 3391 2580 L 3392 3235 L 3392 3671 L 3393 3272 L 3394 3272 L 3394 3433 L 3395 3978 L 3395 3335 L 3395 3922 L 3396 2580 L 3397 3144 L 3397 3087 L 3398 3235 L 3398 3017 L 3399 4013 L 3399 2799 L 3400 3305 L 3400 4054 L 3400 2580 L 3401 3272 L 3401 2580 L 3402 2799 L 3402 3193 L 3403 2580 L 3403 3411 L 3404 3388 L 3404 3193 L 3404 4228 L 3405 3661 L 3406 3144 L 3406 2580 L 3407 2799 L 3407 2580 L 3408 3799 L 3408 3629 L 3409 3433 L 3409 3017 L 3410 2799 L 3410 2926 L 3411 2580 L 3412 2580 L 3412 3144 L 3413 2580 L 3413 3087 L 3414 3305 L 3414 3017 L 3414 2799 L 3415 3733 L 3415 3757 L 3416 3433 L 3416 3472 L 3417 3847 L 3417 3553 L 3418 3017 L 3418 3272 L 3418 2580 L 3419 3087 L 3419 3507 L 3420 3606 L 3420 3388 L 3421 4051 L 3421 3272 L 3422 2926 L 3422 2580 L 3423 3087 L 3423 3553 L 3423 2580 L 3424 3362 L 3424 3681 L 3425 3894 L 3425 2580 L 3426 3490 L 3426 3305 L 3427 3017 L 3427 2580 L 3428 3087 L 3428 2799 L S 3428 2799 M 3429 3733 L 3429 3472 L 3430 3087 L 3430 3690 L 3431 2926 L 3431 3507 L 3432 2926 L 3432 3144 L 3432 2799 L 3433 2799 L 3433 2580 L 3434 3144 L 3434 2580 L 3435 3087 L 3435 3725 L 3436 2926 L 3436 2799 L 3437 3335 L 3437 3235 L 3438 4251 L 3438 2799 L 3439 3087 L 3439 2580 L 3440 3305 L 3440 2580 L 3441 3453 L 3441 3272 L 3441 3847 L 3442 3017 L 3442 3580 L 3443 3472 L 3443 3335 L 3444 3869 L 3444 3305 L 3445 3305 L 3445 2926 L 3446 3087 L 3446 2580 L 3447 3087 L 3447 3017 L 3448 2926 L 3448 2799 L 3449 3388 L 3449 2580 L 3450 3144 L 3450 3388 L 3450 3193 L 3451 3913 L 3451 3305 L 3452 3017 L 3452 2580 L 3453 3939 L 3453 3017 L 3454 3193 L 3454 3567 L 3454 3507 L 3455 3144 L 3455 3305 L 3456 3472 L 3456 2926 L 3457 4412 L 3457 3087 L 3458 3362 L 3458 2580 L 3459 3017 L 3459 3717 L 3459 3490 L 3460 3955 L 3460 2926 L 3461 3272 L 3461 4204 L 3462 3507 L 3462 2580 L 3463 3922 L 3463 4157 L 3463 3193 L 3464 3749 L 3464 2799 L 3465 2799 L 3465 4240 L 3466 3593 L 3466 2580 L 3467 2580 L 3467 3836 L 3468 3841 L 3468 3144 L 3468 3538 L 3469 3144 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2799 L 4890 3651 L 4890 4017 L 4891 3651 L 4891 3087 L 4892 2580 L 4893 3362 L 4893 3523 L 4894 3017 L 4894 3305 L 4895 2580 L 4895 3523 L 4896 2580 L 4896 3144 L 4896 2580 L 4897 3144 L 4897 4020 L 4898 2926 L 4898 3433 L 4899 2580 L 4899 3553 L 4900 3567 L 4900 3629 L 4901 4508 L 4901 4363 L 4901 4335 L 4902 3087 L S grestore gsave newpath 357 1797 M 5763 1797 L 5763 6123 L 357 6123 L closepath clip newpath [] 0 setdash 5 setlinewidth 0 setgray 0.5 0 1.5 3199 5931 (ntp.umd3) T 0.5 0 1 3199 2024 (Time \(NTP days\)) T 0.5 90 1 443 4030 (Offset \(sec\)) T 933 2513 M 933 2574 L S 1500 2513 M 1500 2574 L S 2066 2513 M 2066 2574 L S 2633 2513 M 2633 2574 L S 3199 2513 M 3199 2574 L S 3766 2513 M 3766 2574 L S 4332 2513 M 4332 2574 L S 4899 2513 M 4899 2574 L S 5465 2513 M 5465 2574 L S 933 2513 M 5465 2513 L S 0.5 0 1 933 2303 (0) T 0.5 0 1 1500 2303 (1) T 0.5 0 1 2066 2303 (2) T 0.5 0 1 2633 2303 (3) T 0.5 0 1 3199 2303 (4) T 0.5 0 1 3766 2303 (5) T 0.5 0 1 4332 2303 (6) T 0.5 0 1 4899 2303 (7) T 0.5 0 1 5465 2303 (8) T 933 2580 M 994 2580 L S 933 3305 M 994 3305 L S 933 4030 M 994 4030 L S 933 4754 M 994 4754 L S 933 5479 M 994 5479 L S 933 2580 M 933 5479 L S 0.5 90 1 723 2580 (0.001) T 0.5 90 1 723 3305 (0.01) T 0.5 90 1 723 4030 (0.1) T 0.5 90 1 723 4754 (1) T 0.5 90 1 723 5479 (10) T grestore gsave newpath 930 2511 M 5469 2511 L 5469 5549 L 930 5549 L closepath clip newpath [] 0 setdash 5 setlinewidth 0 setgray 933 5545 M 933 2513 L 5465 2513 L 5465 5545 L 933 5545 L S grestore gsave grestore %%Trailer %%Pages: 1 end %%EndFile svobj restore gr gs /svobj save def greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset 225 2075 2324 2075 2324 1776 225 1776 np mto lto lto lto clip np /tface 8 def 8 encfont colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 1055 1916 440 3 (Figure 4. Raw Offsets)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset 225 1927 2324 1927 2324 889 225 889 np mto lto lto lto clip np greset 75 2077 2475 2077 2475 738 75 738 np mto lto lto lto clip np svobj restore gr gs /svobj save def 669 1852 669 963 1881 963 1881 1852 np mto lto lto lto clip np 669 963 translate 300 72 div dup scale 1213 300 div 541 72 div div 890 300 div 397 72 div div scale -36 -180 translate %%BeginFile: C:\TYPESET\PAPERS\GLO5.EPS %!PS-Adobe-2.0 EPSF 2.0 %%BoundingBox: 36 180 576 576 %%DocumentFonts: Helvetica-Bold Symbol %%Creator: mills %%CreationDate: Mon Aug 28 15:00:51 1989 %%Pages: (atend) %%EndComments /$Sdict 25 dict def $Sdict begin % variables /basesize 160 def /oldcex 1 def /cex 1 def /ratio 1 def /pch (*) def /coffset basesize -0.345 mul def % vertical offset for characters /pcxshift 0 def % procedures /checksize % adjust font size if needed. Stack: cex { /cex exch def oldcex cex ne % scale sizes { /ratio cex oldcex div def /TextFont TextFont ratio scalefont def /PchFont PchFont ratio scalefont def /coffset coffset ratio mul def /oldcex cex def } if } def /Pchar % the plot character. Stack: string cex { checksize /pch exch def pch (.) eq % replace period by bullet { (\267) pch copy pop } if pch (,) eq % replace comma by middot { (\264) pch copy pop } if /PchFont TextFont def pch (*) eq pch (+) eq or % switch to symbol font for these characters { /PchFont /Symbol findfont basesize oldcex mul scalefont def } if PchFont setfont pch stringwidth pop neg 2 div /pcxshift exch def } def /M {moveto} def % move to a point. Stack: x y /L {lineto} def % line to a point. Stack: x y /S {stroke} def /P % plot a character at a point. Stack: x y { M % move to the point pcxshift coffset rmoveto % offset for the character pch show } def /T % show a text string. Stack: adj srot cex x y string { /str exch def M % move to the point (pops x and y) checksize % change size if necessary (pops cex) TextFont setfont dup rotate exch % (moves adj to top) str stringwidth pop neg mul % pops adj coffset rmoveto str show neg rotate } def /Sub %add a subscript. Stack: string srot { oldcex 0.75 mul checksize TextFont setfont dup rotate oldcex -0.5 mul basesize mul 0 exch rmoveto exch show oldcex 0.5 mul basesize mul 0 exch rmoveto neg rotate oldcex 4 3 div mul checksize TextFont setfont } def /Sup %add a superscript. Stack: string srot { oldcex 0.75 mul checksize TextFont setfont dup rotate oldcex 0.5 mul basesize mul 0 exch rmoveto exch show oldcex -0.5 mul basesize mul 0 exch rmoveto neg rotate oldcex 4 3 div mul checksize TextFont setfont } def /F % change the base font. Stack: fontname { /TextFont exch findfont basesize oldcex mul scalefont def /PchFont TextFont def } def /ST % text in Symbol font. Stack: (as for T) { /Symbol F T /Helvetica-Bold F } def 0.1 0.1 scale %integer coordinates in 1/10's of a point 1 setlinecap 1 setlinejoin /Helvetica-Bold F %%EndProlog %%Page: 1 1 gsave newpath 930 2511 M 5469 2511 L 5469 5549 L 930 5549 L closepath clip newpath [] 0 setdash 5 setlinewidth 0 setgray 1442 3305 M 1443 3305 L 1444 3305 L 1445 3305 L 1445 3017 L 1446 3017 L 1447 3017 L 1448 3017 L 1449 2926 L 1450 2926 L 1451 2926 L 1452 3235 L 1453 3235 L 1454 3235 L 1454 2799 L 1455 3388 L 1456 3144 L 1457 3144 L 1458 3144 L 1459 3144 L 1459 3193 L 1461 3193 L 1462 3193 L 1463 3193 L 1463 3087 L 1464 2926 L 1465 2799 L 1466 2799 L 1467 2799 L 1468 2580 L 1469 2580 L 1470 2580 L 1471 2580 L 1471 3144 L 1472 3144 L 1473 2926 L 1474 2926 L 1475 2926 L 1476 3017 L 1477 3017 L 1478 3017 L 1478 3272 L 1479 2926 L 1479 3017 L 1480 3411 L 1481 3411 L 1481 3305 L 1482 3305 L 1483 3305 L 1484 3305 L 1485 3362 L 1486 3362 L 1487 3193 L 1487 3017 L 1488 3017 L 1488 3144 L 1489 3144 L 1490 3144 L 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3017 L 1970 3017 L 1970 2580 L 1971 2580 L 1972 2580 L 1973 2580 L 1973 3193 L 1974 2580 L 1975 2580 L 1976 2580 L 1977 2580 L 1977 3235 L 1978 2799 L 1979 2799 L 1980 2799 L 1981 2799 L 1981 2580 L 1982 2580 L 1983 2580 L 1984 2580 L 1985 2580 L 1985 3144 L 1986 3144 L 1987 3144 L 1987 2926 L 1988 2926 L 1989 2926 L 1990 2926 L 1991 2580 L 1992 2580 L 1993 2580 L 1994 2580 L 1995 2580 L 1995 2926 L 1996 2926 L 1997 2926 L 1998 2926 L 1999 2926 L 1999 3362 L 2000 3362 L 2001 3362 L 2001 3305 L 2002 3305 L 2002 3087 L 2003 3087 L 2004 3087 L 2005 3087 L 2006 3661 L 2006 3305 L 2007 3193 L 2008 3193 L 2009 3193 L 2009 3272 L 2010 3272 L 2011 3272 L 2011 2799 L 2012 2799 L 2013 2799 L 2014 2799 L 2015 3144 L 2016 3144 L 2016 3087 L 2017 3087 L 2018 3087 L 2019 3087 L 2020 2799 L 2020 2926 L 2021 2926 L 2022 2926 L 2022 2580 L 2023 2580 L 2024 2580 L 2025 2580 L 2025 2926 L 2026 2926 L 2027 2926 L 2028 2580 L 2029 2580 L 2030 2580 L 2031 2580 L 2032 2580 L 2033 2580 L 2034 2580 L 2035 2580 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4030 (Offset \(sec\)) T 933 2513 M 933 2574 L S 1500 2513 M 1500 2574 L S 2066 2513 M 2066 2574 L S 2633 2513 M 2633 2574 L S 3199 2513 M 3199 2574 L S 3766 2513 M 3766 2574 L S 4332 2513 M 4332 2574 L S 4899 2513 M 4899 2574 L S 5465 2513 M 5465 2574 L S 933 2513 M 5465 2513 L S 0.5 0 1 933 2303 (0) T 0.5 0 1 1500 2303 (1) T 0.5 0 1 2066 2303 (2) T 0.5 0 1 2633 2303 (3) T 0.5 0 1 3199 2303 (4) T 0.5 0 1 3766 2303 (5) T 0.5 0 1 4332 2303 (6) T 0.5 0 1 4899 2303 (7) T 0.5 0 1 5465 2303 (8) T 933 2580 M 994 2580 L S 933 3305 M 994 3305 L S 933 4030 M 994 4030 L S 933 4754 M 994 4754 L S 933 5479 M 994 5479 L S 933 2580 M 933 5479 L S 0.5 90 1 723 2580 (0.001) T 0.5 90 1 723 3305 (0.01) T 0.5 90 1 723 4030 (0.1) T 0.5 90 1 723 4754 (1) T 0.5 90 1 723 5479 (10) T grestore gsave newpath 930 2511 M 5469 2511 L 5469 5549 L 930 5549 L closepath clip newpath [] 0 setdash 5 setlinewidth 0 setgray 933 5545 M 933 2513 L 5465 2513 L 5465 5545 L 933 5545 L S grestore gsave grestore %%Trailer %%Pages: 1 end %%EndFile svobj restore gr gs /svobj save def greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset 225 1038 2324 1038 2324 755 225 755 np mto lto lto lto clip np /tface 8 def 8 encfont colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 1024 880 503 3 (Figure 5. Filtered Offsets)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset -75 3374 2624 3374 2624 2825 -75 2825 np mto lto lto lto clip np /tface 4 def 4 encfont colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 2979 227 1 (RFC 1128)fjt 805 2979 941 5 (Performance of the Network Time Protocol)fjt 1948 2979 302 1 (October 1989)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset -75 474 2624 474 2624 -75 -75 -75 np mto lto lto lto clip np /tface 4 def colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 279 100 0 (Mills)fjt 2065 279 186 1 (Page 11)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np %End page showpage svobj restore gr gs /svobj save def %Begin page UserSoP greset -75 3374 2624 3374 2624 -75 -75 -75 np mto lto lto lto clip np /tface 8 def 8 encfont colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 1804 1204 10 (path is apparent from the error distributions shown in Figure 6)fjt 1504 1804 746 6 (. The upper line shows the distribution)fjt 300 1746 1886 16 (for the raw data, while the lower line shows the filtered data. The significant facts apparent fr)fjt 2186 1746 64 0 (om)fjt 300 1687 1950 17 (the latter line are that the median error over all samples was only a few milliseconds, while the)fjt 300 1629 822 7 (maximum error was no more than 50 ms.)fjt /tface 5 def 5 encfont sf 300 1532 83 0 (3.2.)fjt (s)15 (t)27 (c)27 (e)15 (f)16 (f)32 (E)13 ( )29 (n)30 (o)13 (i)15 (t)27 (a)29 (g)27 (a)30 (p)29 (o)18 (r)33 (P)12 ( )30 (o)13 (i)29 (d)27 (a)35 (R)13 ( )29 (o)16 (t)12 ( )27 (e)30 (u)29 (d)13 ( )27 (s)18 (r)29 (o)19 (r)18 (r)32 (E)13 ( )0 40 383 1532 fet /tface 8 def sf 300 1436 1774 17 (In order to assess the accuracy of the above results, it is necessary to consider the inherent )fjt 2074 1436 177 0 (accuracy)fjt 300 1378 1950 13 (and precision of the primary synchronization paths and radio clocks themselves. The radio clocks)fjt 300 1319 1807 16 (used in the surveys are all capable of resolution to within a millisecond and are potentially a)fjt 2107 1319 143 0 (ccurate)fjt 300 1261 1881 14 (to within a millisecond or two relative to the propagation medium. However, the absolute accur)fjt 2181 1261 69 0 (acy)fjt 300 1203 1950 15 (depends on knowledge of the radio propagation path to the source of standard time and frequency.)fjt 300 1145 1854 14 (In the absence of calibration by portable atomic clock, the conventional method is to estimat)fjt 2154 1145 96 1 (e the)fjt 300 1086 1950 12 (propagation delay along the great-circle path between the known geographic coordinates of the)fjt 300 1028 1950 14 (transmitter and receiver. However, this can result in errors as great as two milliseconds when)fjt 300 970 1867 13 (compared to the actual oblique ray path. Additional errors can be introduced by unpredict)fjt 2167 970 83 0 (able)fjt 300 912 1950 13 (latencies in the radio clocks, operating system, hardware and in the protocol software \(e.g.,)fjt 300 853 670 4 (encryption delays\) for NTP itself.)fjt 300 749 1950 13 (An evaluation of the performance of the synchronization accuracy of the NTP primary servers)fjt 300 690 1754 12 (relative to national standards in principle requires calibration by a portable atomic clock;)fjt 2054 690 196 1 ( however,)fjt 300 632 1853 16 (it is possible to estimate the accuracy by means of a detailed analysis of the radio propagation)fjt 2153 632 98 1 ( path)fjt 300 574 1911 18 (itself. In the case of the NBS WWVB service on 60 kHz, the variations in path delay are relative)fjt 2211 574 39 0 (ly)fjt 300 516 1950 17 (well understood and limited to the order of 50 microseconds [BLA74]. In the case of the NBS GOES)fjt 300 457 1815 15 (service the accuracy is limited by the ability to accurately estimate the distance along the l)fjt 2115 457 135 0 (ine-of-)fjt 300 399 1789 14 (sight path to the satellite orbit and the ability to maintain accurate stationkeeping in geosync)fjt 2089 399 161 0 (hronous)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset 225 2980 2324 2980 2324 1929 225 1929 np mto lto lto lto clip np greset 75 3130 2475 3130 2475 1779 75 1779 np mto lto lto lto clip np svobj restore gr gs /svobj save def 661 2905 661 2004 1889 2004 1889 2905 np mto lto lto lto clip np 661 2004 translate 300 72 div dup scale 1229 300 div 541 72 div div 902 300 div 397 72 div div scale -36 -180 translate %%BeginFile: C:\TYPESET\PAPERS\GLO6.EPS %!PS-Adobe-2.0 EPSF 2.0 %%BoundingBox: 36 180 576 576 %%DocumentFonts: Helvetica-Bold Symbol %%Creator: mills %%CreationDate: Mon Aug 28 15:00:51 1989 %%Pages: (atend) %%EndComments /$Sdict 25 dict def $Sdict begin % variables /basesize 160 def /oldcex 1 def /cex 1 def /ratio 1 def /pch (*) def /coffset basesize -0.345 mul def % vertical offset for characters /pcxshift 0 def % procedures /checksize % adjust font size if needed. Stack: cex { /cex exch def oldcex cex ne % scale sizes { /ratio cex oldcex div def /TextFont TextFont ratio scalefont def /PchFont PchFont ratio scalefont def /coffset coffset ratio mul def /oldcex cex def } if } def /Pchar % the plot character. Stack: string cex { checksize /pch exch def pch (.) eq % replace period by bullet { (\267) pch copy pop } if pch (,) eq % replace comma by middot { (\264) pch copy pop } if /PchFont TextFont def pch (*) eq pch (+) eq or % switch to symbol font for these characters { /PchFont /Symbol findfont basesize oldcex mul scalefont def } if PchFont setfont pch stringwidth pop neg 2 div /pcxshift exch def } def /M {moveto} def % move to a point. Stack: x y /L {lineto} def % line to a point. Stack: x y /S {stroke} def /P % plot a character at a point. Stack: x y { M % move to the point pcxshift coffset rmoveto % offset for the character pch show } def /T % show a text string. Stack: adj srot cex x y string { /str exch def M % move to the point (pops x and y) checksize % change size if necessary (pops cex) TextFont setfont dup rotate exch % (moves adj to top) str stringwidth pop neg mul % pops adj coffset rmoveto str show neg rotate } def /Sub %add a subscript. Stack: string srot { oldcex 0.75 mul checksize TextFont setfont dup rotate oldcex -0.5 mul basesize mul 0 exch rmoveto exch show oldcex 0.5 mul basesize mul 0 exch rmoveto neg rotate oldcex 4 3 div mul checksize TextFont setfont } def /Sup %add a superscript. Stack: string srot { oldcex 0.75 mul checksize TextFont setfont dup rotate oldcex 0.5 mul basesize mul 0 exch rmoveto exch show oldcex -0.5 mul basesize mul 0 exch rmoveto neg rotate oldcex 4 3 div mul checksize TextFont setfont } def /F % change the base font. Stack: fontname { /TextFont exch findfont basesize oldcex mul scalefont def /PchFont TextFont def } def /ST % text in Symbol font. 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grestore gsave newpath 357 1797 M 5763 1797 L 5763 6123 L 357 6123 L closepath clip newpath [] 0 setdash 5 setlinewidth 0 setgray 0.5 0 1.5 3200 5931 (ntp.umd3) T 0.5 0 1 3200 2023 (Offset \(sec\)) T 0.5 90 1 444 4030 (Prob \(%\)) T 973 2514 M 973 2574 L S 2086 2514 M 2086 2574 L S 3200 2514 M 3200 2574 L S 4313 2514 M 4313 2574 L S 5426 2514 M 5426 2574 L S 973 2514 M 5426 2514 L S 0.5 0 1 973 2303 (0.001) T 0.5 0 1 2086 2303 (0.01) T 0.5 0 1 3200 2303 (0.1) T 0.5 0 1 4313 2303 (1) T 0.5 0 1 5426 2303 (10) T 934 2580 M 994 2580 L S 934 3305 M 994 3305 L S 934 4030 M 994 4030 L S 934 4754 M 994 4754 L S 934 5479 M 994 5479 L S 934 2580 M 934 5479 L S 0.5 90 1 724 2580 (0.01) T 0.5 90 1 724 3305 (0.1) T 0.5 90 1 724 4030 (1) T 0.5 90 1 724 4754 (10) T 0.5 90 1 724 5479 (100) T grestore gsave newpath 931 2511 M 5469 2511 L 5469 5549 L 931 5549 L closepath clip newpath [] 0 setdash 5 setlinewidth 0 setgray 934 5545 M 934 2514 L 5466 2514 L 5466 5545 L 934 5545 L S 973 5462 M 973 5462 L S 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-300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset 225 2079 2324 2079 2324 1796 225 1796 np mto lto lto lto clip np /tface 8 def 8 encfont colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 854 1921 843 6 (Figure 6. Error Distribution for NTP hosts)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset -75 3374 2624 3374 2624 2825 -75 2825 np mto lto lto lto clip np /tface 4 def 4 encfont colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 2979 227 1 (RFC 1128)fjt 805 2979 941 5 (Performance of the Network Time Protocol)fjt 1948 2979 302 1 (October 1989)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset -75 474 2624 474 2624 -75 -75 -75 np mto lto lto lto clip np /tface 4 def colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 279 100 0 (Mills)fjt 2065 279 186 1 (Page 12)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np %End page showpage svobj restore gr gs /svobj save def %Begin page UserSoP greset -75 3374 2624 3374 2624 -75 -75 -75 np mto lto lto lto clip np /tface 8 def 8 encfont colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 1535 1718 15 (orbit. In principle, the estimation errors for either of these services is small compared to t)fjt 2018 1535 233 1 (he accuracy)fjt 300 1477 1063 6 (expected of Internet timestamps generated with NTP.)fjt 300 1390 1950 16 (However, in the case of the NBS WWV/H and NRC CHU services, which operate on HF frequencies)fjt 300 1331 1950 14 (from 2.5 through 20 MHz, radio propagation is determined by the upper ionospheric layers, which)fjt 300 1273 1950 16 (vary in height throughout the day and night, and by the geometric ray path determined by the)fjt 300 1215 1950 13 (maximum usable frequency \(MUF\) and other factors, which also vary throughout the day, night,)fjt 300 1157 929 7 (season and phase of the 11-year sunspot cycle.)fjt 300 1069 1867 16 (In an effort to calibrate how these effects affect the limiting accuracy of the NTP primary ser)fjt 2167 1069 83 0 (vers)fjt 300 1011 1950 13 (using WWV/H and CHU services, existing computer programs were used to determine the MUF)fjt 300 953 1950 11 (and propagation geometry for typical ionospheric conditions forecast for September 1989. The)fjt 300 894 545 5 (results are shown in Table 3)fjt 845 894 1405 11 ( by two-hour intervals throughout a 24-hour period for the path between)fjt 300 836 1950 15 (the University of Delaware \(Newark\), and CHU \(Ottawa\). Each line of the table shows UTC \(hour\),)fjt 300 778 1925 18 (MUF \(MHz\) and delay \(ms\) for forecast frequencies of 2.5, 5, 10 and 15 MHz. In case no propagatio)fjt 2225 778 25 0 (n)fjt 300 720 1754 17 (path is likely, the delay entry is left blank. The delay itself is followed by a code indicatin)fjt 2054 720 196 1 (g whether)fjt 300 661 1848 19 (the path is entirely in sunlight \(j\), in darkness \(n\) or mixed \(x\) and the number of hops. A sy)fjt 2148 661 103 0 (mbol)fjt 300 603 1950 15 (\(m\) indicates two or more geometric paths are likely with similar amplitudes, which may result in)fjt 300 545 837 4 (multipath fading and unstable indications.)fjt 300 457 1936 18 (From Table 3 it can be seen that the delay decreases as the ionospheric layers fall during the nigh)fjt 2236 457 14 0 (t)fjt 300 399 1950 18 (\(to about 250 km\) and rise during the day \(to about 350 km\). The delay also changes when the)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset 225 2975 2324 2975 2324 1651 225 1651 np mto lto lto lto clip np 1549 2898 1550 2898 1550 2828 1549 2828 fa colmap 1 [0 0 0 ] put 1 sci gs eofill gr 1823 2898 1824 2898 1824 2828 1823 2828 fa gs eofill gr 451 2828 2098 2828 2098 2827 451 2827 fa gs eofill gr 1549 2828 1550 2828 1550 2758 1549 2758 fa gs eofill gr 1823 2828 1824 2828 1824 2758 1823 2758 fa gs eofill gr 1549 2758 1550 2758 1550 2688 1549 2688 fa gs eofill gr 1823 2758 1824 2758 1824 2688 1823 2688 fa gs eofill gr 451 2688 2098 2688 2098 2687 451 2687 fa gs eofill gr 1000 2688 1001 2688 1001 2631 1000 2631 fa gs eofill gr 1549 2688 1550 2688 1550 2631 1549 2631 fa gs eofill gr 451 2632 2098 2632 2098 2631 451 2631 fa gs eofill gr 725 2631 726 2631 726 2574 725 2574 fa gs eofill gr 1000 2631 1001 2631 1001 2574 1000 2574 fa gs eofill gr 451 2575 2098 2575 2098 2574 451 2574 fa gs eofill gr 725 2574 726 2574 726 2468 725 2468 fa gs eofill gr 1000 2574 1001 2574 1001 2468 1000 2468 fa gs eofill gr 1274 2574 1275 2574 1275 2468 1274 2468 fa gs eofill gr 1549 2574 1550 2574 1550 2468 1549 2468 fa gs eofill gr 1823 2574 1824 2574 1824 2468 1823 2468 fa gs eofill gr 451 2469 2098 2469 2098 2468 451 2468 fa gs eofill gr 725 2469 726 2469 726 2409 725 2409 fa gs eofill gr 1000 2469 1001 2469 1001 2409 1000 2409 fa gs eofill gr 1274 2469 1275 2469 1275 2409 1274 2409 fa gs eofill gr 1549 2469 1550 2469 1550 2409 1549 2409 fa gs eofill gr 1823 2469 1824 2469 1824 2409 1823 2409 fa gs eofill gr 725 2409 726 2409 726 2349 725 2349 fa gs eofill gr 1000 2409 1001 2409 1001 2349 1000 2349 fa gs eofill gr 1274 2409 1275 2409 1275 2349 1274 2349 fa gs eofill gr 1549 2409 1550 2409 1550 2349 1549 2349 fa gs eofill gr 1823 2409 1824 2409 1824 2349 1823 2349 fa gs eofill gr 725 2349 726 2349 726 2289 725 2289 fa gs eofill gr 1000 2349 1001 2349 1001 2289 1000 2289 fa gs eofill gr 1274 2349 1275 2349 1275 2289 1274 2289 fa gs eofill gr 1549 2349 1550 2349 1550 2289 1549 2289 fa gs eofill gr 1823 2349 1824 2349 1824 2289 1823 2289 fa gs eofill gr 725 2289 726 2289 726 2229 725 2229 fa gs eofill gr 1000 2289 1001 2289 1001 2229 1000 2229 fa gs eofill gr 1274 2289 1275 2289 1275 2229 1274 2229 fa gs eofill gr 1549 2289 1550 2289 1550 2229 1549 2229 fa gs eofill gr 1823 2289 1824 2289 1824 2229 1823 2229 fa gs eofill gr 449 2229 450 2229 450 2169 449 2169 fa gs eofill gr 453 2229 454 2229 454 2169 453 2169 fa gs eofill gr 725 2229 726 2229 726 2169 725 2169 fa gs eofill gr 1000 2229 1001 2229 1001 2169 1000 2169 fa gs eofill gr 1274 2229 1275 2229 1275 2169 1274 2169 fa gs eofill gr 1549 2229 1550 2229 1550 2169 1549 2169 fa gs eofill gr 1823 2229 1824 2229 1824 2169 1823 2169 fa gs eofill gr 2096 2229 2097 2229 2097 2169 2096 2169 fa gs eofill gr 2100 2229 2101 2229 2101 2169 2100 2169 fa gs eofill gr 725 2169 726 2169 726 2109 725 2109 fa gs eofill gr 1000 2169 1001 2169 1001 2109 1000 2109 fa gs eofill gr 1274 2169 1275 2169 1275 2109 1274 2109 fa gs eofill gr 1549 2169 1550 2169 1550 2109 1549 2109 fa gs eofill gr 1823 2169 1824 2169 1824 2109 1823 2109 fa gs eofill gr 725 2109 726 2109 726 2049 725 2049 fa gs eofill gr 1000 2109 1001 2109 1001 2049 1000 2049 fa gs eofill gr 1274 2109 1275 2109 1275 2049 1274 2049 fa gs eofill gr 1549 2109 1550 2109 1550 2049 1549 2049 fa gs eofill gr 1823 2109 1824 2109 1824 2049 1823 2049 fa gs eofill gr 725 2049 726 2049 726 1989 725 1989 fa gs eofill gr 1000 2049 1001 2049 1001 1989 1000 1989 fa gs eofill gr 1274 2049 1275 2049 1275 1989 1274 1989 fa gs eofill gr 1549 2049 1550 2049 1550 1989 1549 1989 fa gs eofill gr 1823 2049 1824 2049 1824 1989 1823 1989 fa gs eofill gr 449 1989 450 1989 450 1929 449 1929 fa gs eofill gr 453 1989 454 1989 454 1929 453 1929 fa gs eofill gr 725 1989 726 1989 726 1929 725 1929 fa gs eofill gr 1000 1989 1001 1989 1001 1929 1000 1929 fa gs eofill gr 1274 1989 1275 1989 1275 1929 1274 1929 fa gs eofill gr 1549 1989 1550 1989 1550 1929 1549 1929 fa gs eofill gr 1823 1989 1824 1989 1824 1929 1823 1929 fa gs eofill gr 2096 1989 2097 1989 2097 1929 2096 1929 fa gs eofill gr 2100 1989 2101 1989 2101 1929 2100 1929 fa gs eofill gr 725 1929 726 1929 726 1869 725 1869 fa gs eofill gr 1000 1929 1001 1929 1001 1869 1000 1869 fa gs eofill gr 1274 1929 1275 1929 1275 1869 1274 1869 fa gs eofill gr 1549 1929 1550 1929 1550 1869 1549 1869 fa gs eofill gr 1823 1929 1824 1929 1824 1869 1823 1869 fa gs eofill gr 725 1869 726 1869 726 1799 725 1799 fa gs eofill gr 1000 1869 1001 1869 1001 1799 1000 1799 fa gs eofill gr 1274 1869 1275 1869 1275 1799 1274 1799 fa gs eofill gr 1549 1869 1550 1869 1550 1799 1549 1799 fa gs eofill gr 1823 1869 1824 1869 1824 1799 1823 1799 fa gs eofill gr 725 1799 726 1799 726 1729 725 1729 fa gs eofill gr 1000 1799 1001 1799 1001 1729 1000 1729 fa gs eofill gr 1274 1799 1275 1799 1275 1729 1274 1729 fa gs eofill gr 1549 1799 1550 1799 1550 1729 1549 1729 fa gs eofill gr 1823 1799 1824 1799 1824 1729 1823 1729 fa gs eofill gr 450 2899 2100 2899 2100 2898 450 2898 fa gs eofill gr 450 1728 2100 1728 2100 1729 450 1729 fa gs eofill gr 450 2899 451 2899 451 1728 450 1728 fa gs eofill gr 2100 2899 2099 2899 2099 1728 2100 1728 fa gs eofill gr /tface 8 def /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 476 2838 196 0 (Locations)fjt 1574 2838 66 0 (Lat)fjt 1849 2838 106 0 (Long)fjt 476 2768 670 3 (University of Delaware \(Newark\))fjt 1574 2768 149 0 (30.68N)fjt 1849 2768 160 0 (75.73W)fjt 476 2698 426 2 (CHU Radio \(Ottawa\))fjt 1574 2698 149 0 (45.30N)fjt 1849 2698 160 0 (75.75W)fjt /txscale 1000 3 mul 72 div def /tyscale 1000 3 mul 72 div def sf 646 2639 160 1 (SSN: 184)fjt 1146 2639 257 3 (Date: 1 Sept 89)fjt 1715 2639 216 2 (Dist: 625 km)fjt 547 2583 83 0 (UTC)fjt 818 2583 90 0 (MUF)fjt 1414 2583 269 2 (Path Delay \(ms\))fjt 529 2526 120 0 (\(hours\))fjt 806 2526 113 0 (\(MHz\))fjt 1111 2526 52 0 (2.5)fjt 1095 2477 86 0 (MHz)fjt 1401 2526 21 0 (5)fjt 1369 2477 86 0 (MHz)fjt 1666 2526 42 0 (10)fjt 1644 2477 86 0 (MHz)fjt 1940 2526 42 0 (15)fjt 1918 2477 86 0 (MHz)fjt /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def sf 476 2409 25 0 (0)fjt 751 2409 88 0 (14.3)fjt 1025 2409 101 0 (5.1j2)fjt 1300 2409 101 0 (5.1j2)fjt 1574 2409 101 0 (5.1j2)fjt 476 2349 25 0 (2)fjt 751 2349 88 0 (11.6)fjt 1025 2349 113 0 (4.0n2)fjt 1300 2349 113 0 (4.0n2)fjt 1574 2349 113 0 (2.7n1)fjt 476 2289 25 0 (4)fjt 751 2289 63 0 (9.7)fjt 1025 2289 113 0 (4.0n2)fjt 1300 2289 113 0 (4.0n2)fjt 476 2229 25 0 (6)fjt 751 2229 63 0 (8.3)fjt 1025 2229 113 0 (4.0n2)fjt 1300 2229 113 0 (4.0n2)fjt 476 2169 25 0 (8)fjt 751 2169 63 0 (7.3)fjt 1025 2169 113 0 (4.0n2)fjt 1300 2169 113 0 (4.0n2)fjt 476 2109 50 0 (10)fjt 751 2109 63 0 (9.2)fjt 1025 2109 101 0 (5.1j2)fjt 1300 2109 101 0 (5.1j2)fjt 476 2049 50 0 (12)fjt 751 2049 88 0 (13.3)fjt 1300 2049 140 0 (5.1j2m)fjt 1574 2049 101 0 (5.1j2)fjt 476 1989 50 0 (14)fjt 751 1989 88 0 (15.4)fjt 1300 1989 101 0 (5.1j2)fjt 1574 1989 101 0 (5.1j2)fjt 1849 1989 101 0 (3.2j1)fjt 476 1929 50 0 (16)fjt 751 1929 88 0 (16.5)fjt 1300 1929 101 0 (5.1j2)fjt 1574 1929 140 0 (5.1j2m)fjt 1849 1929 101 0 (3.2j1)fjt 476 1869 50 0 (18)fjt 751 1869 88 0 (17.0)fjt 1300 1869 101 0 (5.1j2)fjt 1574 1869 140 0 (5.1j2m)fjt 1849 1869 101 0 (3.2j1)fjt 476 1809 50 0 (20)fjt 751 1809 88 0 (16.8)fjt 1300 1809 101 0 (5.1j2)fjt 1574 1809 101 0 (5.1j2)fjt 1849 1809 101 0 (3.2j1)fjt 476 1739 50 0 (22)fjt 751 1739 88 0 (16.0)fjt 1300 1739 140 0 (5.1j2m)fjt 1574 1739 101 0 (5.1j2)fjt 1849 1739 101 0 (3.2j1)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset 225 1800 2324 1800 2324 1526 225 1526 np mto lto lto lto clip np /tface 8 def colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 935 1642 679 4 (Table 3. Radio Propagation Delay)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset -75 3374 2624 3374 2624 2825 -75 2825 np mto lto lto lto clip np /tface 4 def 4 encfont colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 2979 227 1 (RFC 1128)fjt 805 2979 941 5 (Performance of the Network Time Protocol)fjt 1948 2979 302 1 (October 1989)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset -75 474 2624 474 2624 -75 -75 -75 np mto lto lto lto clip np /tface 4 def colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 279 100 0 (Mills)fjt 2065 279 186 1 (Page 13)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np %End page showpage svobj restore gr gs /svobj save def %Begin page UserSoP greset -75 3374 2624 3374 2624 -75 -75 -75 np mto lto lto lto clip np /tface 8 def 8 encfont colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 2841 1950 15 (number of hops and thus the oblique ray geometry changes. The maximum delay variation for this)fjt 300 2782 1928 20 (particular path is from 2.7 to 5.1 ms, a variation of 2.4 ms. While this may be an extreme case \()fjt 2228 2782 22 0 (a)fjt 300 2724 1865 16 (forecast path to Hawaii varies from 8.6 to 9.7 ms\), the results demonstrate that the ultimate accu)fjt 2165 2724 86 0 (racy)fjt 300 2666 1950 14 (of HF-radio derived NTP time may depend on the ability to accurately estimate the propagation)fjt 300 2608 1366 11 (path variations or to confine observations to the same time each day.)fjt /tface 5 def 5 encfont sf 300 2509 83 0 (3.3.)fjt (e)27 (s)13 (i)29 (o)35 (N)13 ( )27 (e)27 (s)26 (a)30 (h)32 (P)13 ( )27 (k)26 (c)30 (o)13 (l)35 (C)12 ( )30 (o)13 (i)29 (d)27 (a)35 (R)13 ( )29 (o)16 (t)12 ( )27 (e)30 (u)29 (d)13 ( )27 (s)18 (r)29 (o)19 (r)18 (r)32 (E)13 ( )0 38 383 2509 fet /tface 8 def sf 300 2412 1845 12 (Precision timekeeping at the NTP primary servers requires an exceptionally stable local osci)fjt 2145 2412 105 0 (llator)fjt 300 2353 1848 14 (reference in order to deliver accurate time when the radio propagation medium, transmitter or )fjt 2148 2353 102 0 (radio)fjt 300 2295 1864 13 (clock has failed. Furthermore, the oscillator must maintain accurate frequency in case the r)fjt 2164 2295 86 0 (adio)fjt 300 2237 1950 14 (clock has excessive phase noise or experiences propagation anomaly, such as can happen when a)fjt 300 2179 1950 15 (WWV/H radio clock changes frequency. For instance, in order to maintain time to within a few)fjt 300 2120 1928 12 (milliseconds for a day without outside synchronization, the local oscillator frequency must b)fjt 2228 2120 22 0 (e)fjt 300 2062 419 3 (accurate to within 10)fjt /txscale 1000 3 mul 72 div def /tyscale 1000 3 mul 72 div def sf 719 2086 35 0 (-7)fjt /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def sf 753 2062 192 2 ( or better.)fjt 300 1954 1860 10 (Accuracies like this usually require a relatively expensive oven-compensated quartz oscill)fjt 2160 1954 90 0 (ator,)fjt 300 1896 1950 13 (which is not a standard component in most computer systems. Accordingly, the NTP host-clock)fjt 300 1838 1862 11 (model involves an adaptive-parameter control loop which continuously corrects phase and freq)fjt 2162 1838 72 0 (uen)fjt 2234 1838 17 0 (-)fjt 300 1780 1708 13 (cy variations of the reference oscillator relative to the indications received from the radi)fjt 2008 1780 242 2 (o clock. The)fjt 300 1721 1931 11 (loop parameters are chosen to match the characteristics of uncompensated board-mounted crystal)fjt 2231 1721 19 0 (s)fjt 300 1663 1624 12 (used in most computing equipment, where frequency can vary several parts in 10)fjt /txscale 1000 3 mul 72 div def /tyscale 1000 3 mul 72 div def sf 1924 1687 21 0 (6)fjt /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def sf 1944 1663 306 4 ( as the result of)fjt 300 1605 1866 10 (normal room temperature changes. Commercial radio clocks typically have similar oscillators)fjt 2166 1605 85 1 ( and)fjt 300 1547 1779 12 (control loops, although none are known with the adaptive-parameter design used in NTP.)fjt 300 1439 1796 13 (A problem occurs when the reference oscillator in the radio clock itself becomes destabili)fjt 2096 1439 154 1 (zed due)fjt 300 1381 1925 16 (to propagation path disturbance or, in case of WWV/H clocks, when the path fails and a frequenc)fjt 2225 1381 25 0 (y)fjt 300 1322 1950 13 (change is made. Sometimes this can result in temporary frequency surges, which the reference)fjt 300 1264 1787 14 (oscillator in the primary server will attempt to follow. If synchronization with the radio tra)fjt 2087 1264 163 0 (nsmitter)fjt 300 1206 1739 15 (is lost following a surge, the primary server will ordinarily continue at its last estimated )fjt 2039 1206 212 0 (frequency,)fjt 300 1148 1856 18 (which can lead to gross time errors if allowed to continue. In order to cope with this problem, )fjt 2156 1148 94 0 (NTP)fjt 300 1089 1950 13 (continuously evaluates the quality of the time indications received from the radio clock and)fjt 300 1031 1824 15 (modulates their affect on the frequency estimate. If the quality estimate is low, the effect )fjt 2124 1031 127 1 (on the)fjt 300 973 1816 15 (frequency estimate is reduced; while, if the estimate is high, the effect is increased. The go)fjt 2116 973 134 2 (al is to)fjt 300 915 1831 14 (maintain the best frequency estimate possible in the face of widely varying quality in indic)fjt 2131 915 119 0 (ations)fjt 300 856 598 4 (received from the radio clock.)fjt 300 749 1873 15 (The final experiment reported in this paper involves an assessment of how well the NTP estima)fjt 2173 749 78 0 (tion)fjt 300 690 1950 11 (algorithm behaves under typical propagation conditions with a commercial WWV/H radio clock.)fjt 300 632 1885 17 (In order to separate the effects of host-clock wander from the effects due to the radio clock its)fjt 2185 632 65 0 (elf,)fjt 300 574 1898 13 (the host clock was derived from a precision oven-compensated quartz oscillator with rated stabil)fjt 2198 574 53 0 (ity)fjt 300 516 55 1 (of )fjt /tface 12 def /mpf false def sf 355 516 27 0 (\261)fjt /tface 8 def /mpf true def sf 382 516 100 0 (5x10)fjt /txscale 1000 3 mul 72 div def /tyscale 1000 3 mul 72 div def sf 482 540 35 0 (-9)fjt /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def sf 516 516 625 7 ( per day and aging rate of 1x10)fjt /txscale 1000 3 mul 72 div def /tyscale 1000 3 mul 72 div def sf 1141 540 35 0 (-9)fjt /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def sf 1176 516 1074 10 ( per day. The oscillator was set to within an estimated)fjt 300 457 237 2 (accuracy of )fjt /tface 12 def /mpf false def sf 537 457 27 0 (\261)fjt /tface 8 def /mpf true def sf 564 457 100 0 (1x10)fjt /txscale 1000 3 mul 72 div def /tyscale 1000 3 mul 72 div def sf 664 481 35 0 (-8)fjt /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def sf 698 457 1552 10 ( relative to the 20-MHz WWV transmission under good propagation conditions)fjt 300 399 1834 14 (near midday at the midpoint of the propagation path. The estimated offset and frequency ordi)fjt 2134 399 116 0 (narily)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset -75 3374 2624 3374 2624 2825 -75 2825 np mto lto lto lto clip np /tface 4 def 4 encfont colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 2979 227 1 (RFC 1128)fjt 805 2979 941 5 (Performance of the Network Time Protocol)fjt 1948 2979 302 1 (October 1989)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset -75 474 2624 474 2624 -75 -75 -75 np mto lto lto lto clip np /tface 4 def colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 279 100 0 (Mills)fjt 2065 279 186 1 (Page 14)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np %End page showpage svobj restore gr gs /svobj save def %Begin page UserSoP greset -75 3374 2624 3374 2624 -75 -75 -75 np mto lto lto lto clip np /tface 8 def 8 encfont colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 741 1950 15 (produced by the NTP local clock algorithm was then recorded at 30-second intervals for a period)fjt 300 683 314 2 (of about weeks.)fjt 300 574 1057 9 (The results of the experiment are shown in Figure 7)fjt 1357 574 274 3 ( and Figure 8)fjt 1631 574 620 5 (. Figure 7 shows the estimated)fjt 300 516 1889 13 (frequency error for the entire period and reveals generally good behavior, except for occasio)fjt 2189 516 61 0 (nal)fjt 300 457 1865 17 (periods where apparent phase hits cause the control loop to surge. The times of these surges are )fjt 2165 457 86 0 (near)fjt 300 399 1950 15 (times when the path MUF between the transmitter and receiver are changing rapidly \(see Table 3\))fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset 225 2979 2324 2979 2324 1928 225 1928 np mto lto lto lto clip np greset 75 3129 2475 3129 2475 1777 75 1777 np mto lto lto lto clip np svobj restore gr gs /svobj save def 660 2904 660 2002 1890 2002 1890 2904 np mto lto lto lto clip np 660 2002 translate 300 72 div dup scale 1231 300 div 541 72 div div 903 300 div 397 72 div div scale -36 -180 translate %%BeginFile: C:\TYPESET\PAPERS\GLO7.EPS %!PS-Adobe-2.0 EPSF 2.0 %%BoundingBox: 36 180 576 576 %%DocumentFonts: Helvetica-Bold Symbol %%Creator: mills %%CreationDate: Wed Sep 13 16:43:29 1989 %%Pages: (atend) %%EndComments /$Sdict 25 dict def $Sdict begin % variables /basesize 160 def /oldcex 1 def /cex 1 def /ratio 1 def /pch (*) def /coffset basesize -0.345 mul def % vertical offset for characters /pcxshift 0 def % procedures /checksize % adjust font size if needed. Stack: cex { /cex exch def oldcex cex ne % scale sizes { /ratio cex oldcex div def /TextFont TextFont ratio scalefont def /PchFont PchFont ratio scalefont def /coffset coffset ratio mul def /oldcex cex def } if } def /Pchar % the plot character. Stack: string cex { checksize /pch exch def pch (.) eq % replace period by bullet { (\267) pch copy pop } if pch (,) eq % replace comma by middot { (\264) pch copy pop } if /PchFont TextFont def pch (*) eq pch (+) eq or % switch to symbol font for these characters { /PchFont /Symbol findfont basesize oldcex mul scalefont def } if PchFont setfont pch stringwidth pop neg 2 div /pcxshift exch def } def /M {moveto} def % move to a point. Stack: x y /L {lineto} def % line to a point. Stack: x y /S {stroke} def /P % plot a character at a point. Stack: x y { M % move to the point pcxshift coffset rmoveto % offset for the character pch show } def /T % show a text string. Stack: adj srot cex x y string { /str exch def M % move to the point (pops x and y) checksize % change size if necessary (pops cex) TextFont setfont dup rotate exch % (moves adj to top) str stringwidth pop neg mul % pops adj coffset rmoveto str show neg rotate } def /Sub %add a subscript. Stack: string srot { oldcex 0.75 mul checksize TextFont setfont dup rotate oldcex -0.5 mul basesize mul 0 exch rmoveto exch show oldcex 0.5 mul basesize mul 0 exch rmoveto neg rotate oldcex 4 3 div mul checksize TextFont setfont } def /Sup %add a superscript. Stack: string srot { oldcex 0.75 mul checksize TextFont setfont dup rotate oldcex 0.5 mul basesize mul 0 exch rmoveto exch show oldcex -0.5 mul basesize mul 0 exch rmoveto neg rotate oldcex 4 3 div mul checksize TextFont setfont } def /F % change the base font. Stack: fontname { /TextFont exch findfont basesize oldcex mul scalefont def /PchFont TextFont def } def /ST % text in Symbol font. 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2858 4501 L 2859 4501 L 2860 4501 L 2861 4501 L 2862 4501 L 2863 4501 L 2864 4501 L 2865 4501 L 2866 4501 L 2867 4501 L 2868 4501 L 2869 4501 L 2870 4501 L 2871 4501 L 2872 4501 L 2873 4501 L 2874 4501 L 2875 4501 L 2876 4501 L 2877 4501 L 2878 4501 L 2879 4501 L 2880 4501 L 2881 4501 L 2882 4501 L 2883 4501 L 2884 4501 L 2885 4501 L 2886 4501 L 2887 4501 L 2888 4501 L 2889 4501 L 2890 4501 L 2891 4501 L 2892 4501 L 2893 4501 L 2894 4501 L 2895 4501 L 2896 4501 L 2897 4501 L 2898 4501 L 2899 4501 L 2900 4501 L 2901 4501 L 2902 4501 L 2903 4501 L 2904 4501 L 2905 4501 L 2906 4501 L 2907 4501 L 2908 4501 L 2909 4501 L 2910 4501 L 2911 4501 L 2912 4501 L 2913 4501 L S 2913 4501 M 2913 4501 L 2914 4501 L 2915 4501 L 2916 4501 L 2917 4501 L 2918 4501 L 2919 4501 L 2919 4465 L 2919 4430 L 2920 4430 L 2920 4394 L 2920 4359 L 2920 4323 L 2920 4288 L 2921 4252 L 2921 4217 L 2921 4181 L 2921 4146 L 2921 4110 L 2922 4039 L 2922 4004 L 2922 3969 L 2922 3933 L 2922 3898 L 2922 3862 L 2922 3827 L 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4678 4465 L 4679 4465 L 4680 4465 L 4681 4465 L 4682 4465 L 4683 4465 L 4684 4465 L 4685 4465 L 4686 4465 L 4687 4465 L 4688 4465 L 4689 4465 L 4690 4465 L 4691 4465 L 4692 4465 L 4693 4465 L 4694 4465 L 4695 4465 L 4696 4465 L 4697 4465 L 4698 4465 L 4699 4465 L 4700 4465 L 4701 4465 L 4702 4465 L 4703 4465 L 4704 4465 L 4705 4465 L 4706 4465 L 4707 4465 L 4708 4465 L 4709 4465 L 4710 4465 L 4711 4465 L 4712 4465 L 4713 4465 L 4714 4465 L 4715 4465 L 4716 4465 L 4717 4465 L 4718 4465 L 4719 4465 L 4720 4465 L 4721 4465 L 4722 4465 L 4723 4465 L 4724 4430 L 4725 4430 L 4726 4430 L 4727 4430 L 4728 4430 L 4729 4430 L 4730 4430 L 4731 4430 L 4732 4430 L 4733 4430 L 4734 4430 L 4735 4430 L 4736 4430 L 4737 4430 L 4738 4430 L 4739 4430 L 4740 4430 L 4741 4430 L 4741 4465 L S 4741 4465 M 4742 4465 L 4743 4465 L 4744 4465 L 4744 4430 L 4745 4430 L 4746 4430 L 4747 4430 L 4748 4430 L 4749 4430 L 4750 4430 L 4751 4430 L 4752 4430 L 4753 4430 L 4754 4430 L 4755 4430 L 4756 4430 L 4757 4430 L 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4999 4465 L 5000 4465 L 5001 4465 L 5002 4465 L 5003 4465 L 5004 4465 L 5005 4465 L 5006 4465 L 5007 4465 L 5008 4465 L 5009 4465 L 5010 4465 L 5011 4465 L 5012 4465 L 5013 4465 L 5014 4465 L 5015 4465 L 5016 4465 L 5017 4465 L 5018 4465 L 5019 4465 L S 5019 4465 M 5019 4465 L 5020 4465 L 5021 4465 L 5022 4465 L 5023 4465 L 5024 4465 L 5025 4465 L 5026 4465 L 5027 4465 L 5028 4465 L 5029 4465 L 5030 4465 L 5031 4465 L 5032 4465 L 5033 4465 L 5034 4465 L 5035 4465 L 5036 4465 L 5037 4465 L 5038 4465 L 5039 4465 L 5040 4465 L 5041 4465 L 5042 4465 L 5043 4465 L 5044 4465 L 5045 4465 L 5046 4465 L 5047 4465 L 5048 4465 L 5049 4465 L 5050 4465 L 5051 4465 L 5052 4465 L 5053 4465 L 5054 4465 L 5055 4465 L 5056 4465 L 5057 4465 L 5058 4465 L 5059 4465 L 5060 4465 L 5061 4465 L 5062 4465 L 5063 4465 L 5064 4465 L 5065 4465 L 5066 4465 L 5067 4465 L 5068 4465 L 5069 4465 L 5070 4465 L 5071 4465 L 5072 4465 L 5073 4465 L 5074 4465 L 5075 4465 L 5076 4465 L 5077 4465 L 5078 4465 L 5079 4465 L 5080 4465 L 5081 4465 L 5082 4465 L 5083 4465 L 5084 4465 L 5085 4465 L 5086 4465 L 5087 4465 L 5088 4465 L S 5088 4465 M 5088 4465 L 5089 4465 L 5090 4465 L 5091 4465 L 5092 4465 L 5093 4465 L 5094 4465 L 5095 4465 L 5096 4465 L 5097 4465 L 5097 4430 L 5098 4430 L 5099 4430 L 5100 4430 L 5101 4430 L 5102 4430 L 5103 4430 L 5104 4430 L 5105 4430 L 5106 4430 L 5107 4430 L 5108 4430 L 5109 4430 L 5110 4430 L 5111 4430 L 5112 4430 L 5113 4430 L 5114 4430 L 5115 4430 L 5116 4430 L 5117 4430 L 5118 4430 L 5119 4430 L 5120 4430 L 5121 4430 L 5122 4430 L 5123 4430 L 5124 4430 L 5125 4430 L 5126 4430 L 5127 4430 L 5128 4430 L 5129 4430 L 5130 4430 L 5131 4430 L 5132 4430 L 5133 4430 L 5134 4430 L 5135 4430 L 5136 4430 L 5137 4430 L 5138 4430 L 5139 4430 L 5140 4430 L 5141 4430 L 5142 4430 L 5143 4430 L 5144 4430 L 5145 4430 L 5146 4394 L 5147 4394 L 5148 4394 L 5148 4430 L 5149 4430 L 5150 4430 L 5151 4430 L 5152 4430 L 5153 4430 L 5154 4430 L 5155 4430 L 5156 4430 L 5157 4430 L S 5157 4430 M 5157 4430 L 5158 4430 L 5159 4430 L 5160 4430 L 5161 4430 L 5162 4430 L 5163 4430 L 5164 4430 L 5165 4430 L 5166 4430 L 5167 4430 L 5168 4430 L 5169 4430 L 5170 4430 L 5171 4430 L 5172 4430 L 5173 4430 L 5174 4430 L 5175 4430 L 5176 4430 L 5177 4430 L 5178 4430 L 5179 4430 L 5180 4430 L 5181 4430 L 5182 4430 L 5183 4430 L 5184 4430 L 5185 4430 L 5186 4430 L 5187 4430 L 5188 4430 L 5189 4430 L 5190 4430 L 5191 4430 L 5192 4430 L 5193 4430 L 5194 4430 L 5195 4430 L 5196 4430 L 5197 4430 L 5198 4430 L 5199 4430 L 5200 4430 L 5201 4430 L 5202 4430 L 5203 4430 L 5204 4430 L 5205 4430 L 5206 4430 L 5207 4430 L 5208 4430 L 5209 4430 L 5210 4430 L 5211 4430 L 5212 4430 L 5213 4430 L 5214 4430 L 5215 4430 L 5216 4430 L 5217 4430 L 5218 4430 L 5219 4430 L 5220 4430 L 5221 4430 L 5222 4430 L 5223 4430 L 5224 4430 L 5225 4430 L 5226 4430 L S 5226 4430 M 5226 4430 L 5227 4430 L 5228 4430 L 5229 4430 L 5230 4430 L 5231 4430 L 5232 4430 L 5233 4430 L 5234 4430 L 5235 4430 L 5236 4430 L 5237 4430 L 5238 4430 L 5239 4430 L 5240 4430 L 5241 4430 L 5242 4430 L 5243 4430 L 5244 4430 L 5245 4430 L 5246 4430 L 5247 4430 L 5248 4430 L 5249 4430 L 5250 4430 L 5251 4430 L 5252 4430 L 5253 4430 L 5254 4430 L 5255 4430 L 5256 4430 L 5257 4430 L 5258 4430 L 5259 4430 L 5260 4430 L 5261 4430 L 5262 4430 L 5263 4430 L 5264 4430 L 5265 4430 L 5266 4430 L 5267 4430 L 5268 4430 L 5269 4430 L 5270 4430 L 5271 4430 L 5272 4430 L 5273 4430 L 5274 4430 L 5275 4430 L 5276 4430 L 5277 4430 L 5278 4430 L 5279 4430 L 5280 4430 L 5281 4430 L 5282 4430 L 5283 4430 L 5284 4430 L 5285 4430 L 5286 4430 L 5287 4430 L 5288 4430 L 5289 4430 L 5290 4430 L 5291 4430 L 5292 4430 L 5293 4430 L 5294 4430 L 5295 4430 L 5296 4430 L S 5296 4430 M 5296 4430 L 5297 4430 L 5298 4430 L 5299 4430 L 5300 4430 L 5301 4430 L 5302 4430 L 5303 4430 L 5304 4430 L 5305 4430 L 5306 4430 L 5307 4430 L 5308 4430 L 5309 4430 L 5310 4430 L 5311 4430 L 5312 4430 L 5313 4430 L 5314 4430 L 5315 4430 L 5316 4430 L 5317 4430 L 5318 4430 L 5319 4430 L 5320 4430 L 5321 4430 L 5322 4430 L 5323 4430 L 5324 4430 L 5325 4430 L 5326 4430 L 5327 4430 L 5328 4430 L 5329 4430 L 5330 4430 L 5331 4430 L 5332 4430 L 5333 4430 L 5334 4430 L 5335 4430 L 5336 4430 L 5337 4430 L 5338 4430 L 5339 4430 L 5340 4430 L 5341 4430 L 5342 4430 L 5343 4430 L 5344 4430 L 5345 4430 L 5346 4430 L 5347 4430 L 5348 4430 L 5349 4430 L 5350 4430 L 5351 4430 L 5352 4430 L 5353 4430 L 5354 4430 L 5355 4430 L 5356 4430 L 5357 4430 L 5358 4430 L 5359 4430 L 5360 4430 L 5361 4430 L 5362 4430 L S grestore gsave newpath 357 1797 M 5763 1797 L 5763 6123 L 357 6123 L closepath clip newpath [] 0 setdash 5 setlinewidth 0 setgray 0.5 0 1.5 3220 5903 (plo) T 0.5 0 1 3220 2055 (Time \(NTP days\)) T 0.5 90 1 455 4039 (Frequency Error \(ppm\)) T 1016 2615 M 1016 2672 L S 1750 2615 M 1750 2672 L S 2485 2615 M 2485 2672 L S 3220 2615 M 3220 2672 L S 3954 2615 M 3954 2672 L S 4689 2615 M 4689 2672 L S 5424 2615 M 5424 2672 L S 1016 2615 M 5424 2615 L S 0.5 0 1 1016 2375 (2) T 0.5 0 1 1750 2375 (4) T 0.5 0 1 2485 2375 (6) T 0.5 0 1 3220 2375 (8) T 0.5 0 1 3954 2375 (10) T 0.5 0 1 4689 2375 (12) T 0.5 0 1 5424 2375 (14) T 1016 2641 M 1072 2641 L S 1016 3106 M 1072 3106 L S 1016 3571 M 1072 3571 L S 1016 4036 M 1072 4036 L S 1016 4501 M 1072 4501 L S 1016 4966 M 1072 4966 L S 1016 5431 M 1072 5431 L S 1016 2641 M 1016 5431 L S 0.5 90 1 776 2641 (-0.8) T 0.5 90 1 776 3106 (-0.6) T 0.5 90 1 776 3571 (-0.4) T 0.5 90 1 776 4036 (-0.2) T 0.5 90 1 776 4501 (0.0) T 0.5 90 1 776 4966 (0.2) T 0.5 90 1 776 5431 (0.4) T grestore gsave newpath 1013 2613 M 5427 2613 L 5427 5467 L 1013 5467 L closepath clip newpath [] 0 setdash 5 setlinewidth 0 setgray 1016 5463 M 1016 2615 L 5424 2615 L 5424 5463 L 1016 5463 L S grestore gsave grestore %%Trailer %%Pages: 1 end %%EndFile svobj restore gr gs /svobj save def greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset 225 2077 2324 2077 2324 1778 225 1778 np mto lto lto lto clip np /tface 8 def 8 encfont colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 883 1919 783 5 (Figure 7. Radio Clock Frequency Error)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset 225 1931 2324 1931 2324 874 225 874 np mto lto lto lto clip np greset 75 2081 2475 2081 2475 723 75 723 np mto lto lto lto clip np svobj restore gr gs /svobj save def 656 1856 656 948 1894 948 1894 1856 np mto lto lto lto clip np 656 948 translate 300 72 div dup scale 1239 300 div 541 72 div div 909 300 div 397 72 div div scale -36 -180 translate %%BeginFile: C:\TYPESET\PAPERS\GLO8.EPS %!PS-Adobe-2.0 EPSF 2.0 %%BoundingBox: 36 180 576 576 %%DocumentFonts: Helvetica-Bold Symbol %%CreationDate: Sun Sep 10 15:43:17 1989 %%Pages: (atend) %%EndComments /$Sdict 25 dict def $Sdict begin % variables /basesize 160 def /oldcex 1 def /cex 1 def /ratio 1 def /pch (*) def /coffset basesize -0.345 mul def % vertical offset for characters /pcxshift 0 def % procedures /checksize % adjust font size if needed. Stack: cex { /cex exch def oldcex cex ne % scale sizes { /ratio cex oldcex div def /TextFont TextFont ratio scalefont def /PchFont PchFont ratio scalefont def /coffset coffset ratio mul def /oldcex cex def } if } def /Pchar % the plot character. Stack: string cex { checksize /pch exch def pch (.) eq % replace period by bullet { (\267) pch copy pop } if pch (,) eq % replace comma by middot { (\264) pch copy pop } if /PchFont TextFont def pch (*) eq pch (+) eq or % switch to symbol font for these characters { /PchFont /Symbol findfont basesize oldcex mul scalefont def } if PchFont setfont pch stringwidth pop neg 2 div /pcxshift exch def } def /M {moveto} def % move to a point. Stack: x y /L {lineto} def % line to a point. Stack: x y /S {stroke} def /P % plot a character at a point. Stack: x y { M % move to the point pcxshift coffset rmoveto % offset for the character pch show } def /T % show a text string. Stack: adj srot cex x y string { /str exch def M % move to the point (pops x and y) checksize % change size if necessary (pops cex) TextFont setfont dup rotate exch % (moves adj to top) str stringwidth pop neg mul % pops adj coffset rmoveto str show neg rotate } def /Sub %add a subscript. Stack: string srot { oldcex 0.75 mul checksize TextFont setfont dup rotate oldcex -0.5 mul basesize mul 0 exch rmoveto exch show oldcex 0.5 mul basesize mul 0 exch rmoveto neg rotate oldcex 4 3 div mul checksize TextFont setfont } def /Sup %add a superscript. Stack: string srot { oldcex 0.75 mul checksize TextFont setfont dup rotate oldcex 0.5 mul basesize mul 0 exch rmoveto exch show oldcex -0.5 mul basesize mul 0 exch rmoveto neg rotate oldcex 4 3 div mul checksize TextFont setfont } def /F % change the base font. Stack: fontname { /TextFont exch findfont basesize oldcex mul scalefont def /PchFont TextFont def } def /ST % text in Symbol font. Stack: (as for T) { /Symbol F T /Helvetica-Bold F } def 0.1 0.1 scale %integer coordinates in 1/10's of a point 1 setlinecap 1 setlinejoin /Helvetica-Bold F %%EndProlog %%Page: 1 1 gsave newpath 1013 2613 M 5426 2613 L 5426 5467 L 1013 5467 L closepath clip newpath [] 0 setdash 5 setlinewidth 0 setgray 1060 3864 M 1062 3864 L 1064 3864 L 1065 3864 L 1067 3864 L 1068 3864 L 1070 3864 L 1072 3864 L 1073 3864 L 1075 3864 L 1077 3725 L 1078 3864 L 1080 3864 L 1081 3864 L 1083 3864 L 1085 3725 L 1086 3864 L 1088 3864 L 1090 3725 L 1091 3864 L 1093 3864 L 1095 3725 L 1096 3725 L 1098 3864 L 1099 3864 L 1101 4002 L 1103 4002 L 1104 4002 L 1106 3864 L 1107 4002 L 1111 4002 L 1112 4141 L 1114 4002 L 1116 4141 L 1117 4002 L 1119 3864 L 1120 3864 L 1122 3864 L 1124 4141 L 1125 4002 L 1127 4141 L 1129 4002 L 1130 4141 L 1132 3864 L 1134 3864 L 1135 3864 L 1137 3864 L 1138 4002 L 1140 3864 L 1142 4002 L 1143 3864 L 1145 3864 L 1147 4002 L 1148 3864 L 1150 3864 L 1151 3864 L 1153 4002 L 1155 3864 L 1156 3864 L 1158 3864 L 1160 3864 L 1161 3864 L 1163 3725 L 1164 3725 L 1166 3864 L 1168 4002 L 1169 4002 L 1171 4002 L 1173 4002 L 1174 4002 L 1176 4002 L 1178 4002 L 1179 4002 L 1181 4002 L 1182 4002 L 1184 4002 L 1186 4002 L 1187 4002 L 1189 4002 L 1191 4002 L 1192 4002 L 1194 4002 L 1195 4002 L 1197 3864 L 1199 4002 L 1200 4002 L 1202 4002 L 1204 4002 L 1205 4002 L 1207 4002 L 1209 4002 L 1210 3864 L 1212 3864 L 1213 4002 L 1215 4002 L 1217 3864 L 1218 4002 L 1220 4002 L 1222 4141 L 1223 4141 L 1225 4141 L 1227 3864 L 1228 3864 L 1230 4002 L 1231 3864 L 1233 4002 L 1235 4002 L 1236 4002 L 1238 4002 L 1240 4002 L 1241 3864 L 1243 3864 L 1245 4002 L 1246 3864 L 1248 4002 L 1249 4002 L 1251 3864 L 1253 3864 L 1254 3864 L 1256 3864 L 1258 3864 L 1259 4002 L 1261 3864 L 1262 3864 L 1264 3864 L 1266 3864 L 1267 3864 L 1269 3864 L 1271 3864 L 1272 3864 L 1274 4002 L 1275 4002 L 1277 4002 L 1279 3864 L 1280 3864 L 1282 3864 L 1284 3864 L 1285 3864 L 1287 3864 L 1289 3864 L 1290 3864 L 1292 3725 L 1294 3864 L 1295 3864 L 1297 3864 L 1298 3725 L 1300 3725 L 1302 3864 L 1303 4002 L 1305 4002 L 1307 3864 L 1308 3864 L 1310 4002 L 1311 3864 L 1313 4002 L 1315 4141 L 1316 4141 L 1318 3864 L 1320 4002 L 1321 3864 L 1323 3864 L 1324 3725 L 1326 3725 L 1328 3725 L 1329 3864 L 1331 4002 L 1333 4002 L 1334 4002 L 1336 4002 L 1337 4141 L 1339 4002 L 1341 3864 L 1342 3864 L 1344 3864 L 1346 4141 L 1347 4141 L 1349 4141 L 1350 4002 L 1352 3864 L 1354 3864 L 1355 3864 L 1357 3864 L 1359 3864 L 1360 3864 L 1362 3864 L 1364 3864 L 1365 3864 L 1367 3864 L 1368 3864 L 1370 3725 L 1372 3864 L 1373 3725 L 1375 3725 L 1376 4002 L 1378 3864 L 1380 4002 L 1381 4002 L 1383 3864 L 1385 3864 L 1386 4002 L 1388 3864 L 1390 3864 L 1391 3864 L 1393 4002 L 1394 4002 L 1396 4002 L 1398 4002 L 1399 4002 L 1401 4002 L 1403 4141 L 1404 4141 L 1406 4280 L 1408 3864 L 1409 3864 L 1411 3864 L 1412 3864 L 1414 3864 L 1416 3725 L 1417 4002 L 1419 4002 L 1420 3864 L 1422 3864 L 1424 3864 L 1425 3864 L 1427 3725 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4002 L 3727 3864 L 3729 3864 L 3731 4141 L 3732 4002 L 3734 4002 L 3735 4002 L 3737 3864 L 3739 4002 L 3740 4002 L 3742 4002 L 3743 4002 L 3745 4002 L 3747 4002 L 3748 4002 L 3750 4002 L 3752 4141 L 3753 4141 L 3755 4141 L 3756 4141 L 3758 4002 L 3760 4002 L 3761 4002 L 3763 4002 L 3765 4002 L 3766 4002 L 3768 4002 L 3769 4002 L 3771 4002 L 3773 4002 L 3774 4002 L 3776 4002 L 3778 3864 L 3779 3864 L 3781 3864 L 3782 3864 L 3784 4002 L 3786 4002 L 3787 4002 L 3789 4002 L 3790 4002 L 3792 4002 L 3794 4002 L 3795 4002 L 3797 3864 L 3799 4002 L 3800 4002 L 3802 4002 L 3803 3864 L 3805 4002 L 3807 3864 L 3808 4002 L 3810 3864 L 3812 4002 L 3813 3864 L 3815 4002 L 3816 4002 L 3818 3864 L 3820 3864 L 3821 4002 L 3823 4002 L 3825 4002 L 3826 4002 L 3828 3864 L 3830 4002 L 3831 4002 L 3833 3864 L 3834 3864 L 3836 3864 L 3838 3725 L 3839 3725 L 3841 3864 L 3842 3864 L 3844 3864 L 3846 4002 L 3847 4002 L 3849 3864 L 3851 4002 L 3852 3864 L 3854 4002 L 3856 3864 L 3857 3864 L 3859 3864 L 3860 4002 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3997 4002 L 3999 3864 L 4000 3864 L 4002 4002 L 4004 3864 L 4005 4002 L 4007 3864 L 4009 3864 L 4010 3864 L 4012 3864 L 4013 3864 L 4015 3864 L 4017 4002 L 4018 3864 L 4020 3864 L 4022 4002 L 4023 3864 L 4025 3864 L 4026 3864 L 4028 3864 L 4030 3864 L 4031 3864 L 4033 3864 L 4035 3864 L 4036 3864 L 4038 3864 L 4039 3864 L 4041 3864 L 4043 3864 L 4044 3864 L 4046 4002 L 4048 4002 L 4049 3864 L 4051 3864 L 4052 3864 L 4054 3864 L 4056 3864 L 4057 3864 L 4059 3864 L 4060 3864 L 4062 3864 L 4064 3864 L 4065 3864 L 4067 3864 L 4069 3864 L 4070 3864 L 4072 3864 L 4073 3864 L 4075 4002 L 4077 4002 L 4078 4002 L 4080 4002 L 4082 3725 L 4083 3864 L 4085 3864 L 4086 3864 L 4088 3864 L 4090 3864 L 4091 3864 L 4093 4002 L 4095 4002 L 4096 4002 L 4098 4002 L 4099 3864 L 4101 4002 L 4103 4002 L 4104 4141 L 4106 4141 L 4108 4002 L 4109 3725 L 4111 3725 L 4112 3725 L 4114 4002 L 4116 4002 L 4117 4002 L 4119 4002 L 4121 3864 L 4122 3864 L 4124 3725 L 4125 3864 L 4127 3864 L 4129 4002 L 4130 4002 L 4132 3864 L 4134 4002 L 4135 3864 L 4137 3864 L 4138 3864 L 4140 4002 L 4142 3864 L 4143 3864 L 4145 3864 L 4146 3864 L 4148 3864 L 4150 3864 L 4151 3864 L 4153 4002 L 4155 3864 L 4156 3864 L 4158 3864 L 4159 4002 L 4161 3864 L 4163 4002 L 4164 3864 L 4166 4002 L 4167 4002 L 4169 3864 L 4171 3864 L 4172 3725 L 4174 3725 L 4176 3864 L 4177 3864 L 4179 3864 L 4181 3864 L 4182 3864 L 4184 3864 L 4185 3864 L 4187 3864 L 4189 3864 L 4190 3864 L 4192 3864 L 4194 4002 L 4195 3864 L 4197 3864 L 4198 3864 L 4200 3864 L 4202 3864 L 4203 3725 L 4205 3725 L 4207 3864 L 4208 3864 L 4210 3864 L 4212 3864 L 4213 3864 L 4215 3864 L 4216 3864 L 4218 3864 L 4220 3864 L 4221 3864 L 4223 3864 L 4225 3864 L 4226 3864 L 4228 3864 L 4229 3864 L 4231 3864 L 4233 3864 L 4234 3725 L 4236 3725 L 4238 3864 L 4239 3864 L 4241 4002 L 4242 4002 L 4244 4002 L 4246 4002 L 4247 3864 L 4249 4002 L 4250 4002 L 4252 3864 L 4254 4002 L 4255 4002 L 4257 4002 L 4258 3864 L 4260 3725 L 4262 3864 L 4263 3725 L 4265 3864 L 4267 3864 L 4268 3864 L 4270 3864 L 4271 3864 L 4273 3864 L 4275 3725 L 4276 3864 L 4278 3725 L 4280 3725 L 4281 3725 L 4283 3725 L 4284 3725 L 4286 3725 L 4288 3725 L 4289 3864 L 4291 3725 L 4293 3725 L 4294 3725 L 4296 3725 L 4297 3725 L 4299 3864 L 4301 3725 L 4302 3725 L 4304 3864 L 4306 3864 L 4307 3725 L 4309 3725 L 4311 3725 L 4312 3725 L 4314 3725 L S 4314 3725 M 4315 3725 L 4317 3725 L 4319 3864 L 4320 3864 L 4322 3864 L 4324 3725 L 4325 3864 L 4327 3864 L 4328 3725 L 4330 3864 L 4332 3864 L 4333 3864 L 4335 3725 L 4337 3864 L 4338 3725 L 4340 3864 L 4341 3864 L 4343 4002 L 4345 4002 L 4346 4002 L 4348 3864 L 4350 3725 L 4351 3725 L 4353 3725 L 4354 3725 L 4356 3864 L 4358 3725 L 4359 3864 L 4361 3725 L 4362 3725 L 4364 3725 L 4366 3864 L 4367 3725 L 4369 3725 L 4371 3725 L 4372 3725 L 4374 3725 L 4375 3864 L 4377 3864 L 4379 3864 L 4380 3864 L 4382 4002 L 4384 4002 L 4385 3864 L 4387 3864 L 4389 3864 L 4390 4002 L 4392 4002 L 4393 4002 L 4395 4002 L 4397 4141 L 4398 4002 L 4400 4002 L 4402 4002 L 4403 4002 L 4405 4002 L 4406 4002 L 4408 4002 L 4410 4002 L 4411 4002 L 4413 3864 L 4415 3864 L 4416 3864 L 4418 3864 L 4420 3864 L 4421 3864 L 4423 3725 L 4424 3725 L 4426 3864 L 4428 3864 L 4429 3864 L 4431 3864 L 4433 3864 L 4434 3864 L 4436 3864 L 4437 3864 L 4439 4002 L 4441 4002 L 4442 4002 L 4444 4002 L 4446 4002 L 4447 4002 L 4449 4002 L 4450 4002 L 4452 4002 L 4454 3725 L 4455 3725 L 4457 3864 L 4459 3864 L 4460 3864 L 4462 4002 L 4464 4002 L 4465 4002 L 4467 4002 L 4468 4002 L 4470 4002 L 4472 4002 L 4473 4002 L 4475 4002 L 4477 3864 L 4478 4002 L 4480 4002 L 4481 4002 L 4483 4002 L 4485 4002 L 4486 4002 L 4488 4002 L 4490 3864 L 4491 4002 L 4493 3864 L 4494 3864 L 4496 3864 L 4498 3864 L 4499 3864 L 4501 3725 L 4503 3725 L 4504 3725 L 4506 3864 L 4508 4002 L 4509 4002 L 4511 4002 L 4512 3864 L 4514 4002 L 4516 3864 L 4517 3725 L 4519 3864 L 4521 3864 L 4522 4002 L 4524 4002 L 4526 4002 L 4527 3864 L 4529 4002 L 4530 4002 L 4532 3864 L 4534 4002 L 4535 4002 L 4537 3725 L 4539 3725 L 4540 3864 L 4542 4002 L 4543 3864 L 4545 4002 L 4547 3864 L 4548 4002 L 4550 4002 L 4551 4002 L 4553 3864 L 4555 3864 L 4556 3864 L 4558 4002 L 4560 3864 L 4561 4002 L 4563 3864 L 4564 4002 L 4566 3864 L 4568 3864 L 4569 4002 L 4571 4002 L 4573 4002 L 4574 4002 L 4576 3864 L 4577 3864 L 4579 3864 L 4581 4002 L 4582 3864 L 4584 3864 L 4586 3864 L 4587 3725 L 4589 3864 L 4590 3864 L 4592 3864 L 4594 3864 L 4595 4002 L 4597 3864 L 4599 3586 L 4600 3864 L 4602 3725 L 4603 4002 L 4605 4002 L 4607 4002 L 4608 4002 L 4610 4141 L 4612 4002 L 4613 4141 L 4615 3725 L 4616 3864 L 4618 3725 L 4620 3864 L 4621 3725 L 4623 4002 L 4625 4002 L 4626 3864 L 4628 3864 L 4629 3864 L 4631 4002 L 4633 3864 L 4634 3864 L 4636 3864 L 4638 3864 L 4639 3864 L 4641 3864 L 4642 3725 L 4644 3725 L 4646 3864 L 4647 3864 L 4649 3864 L 4650 3864 L 4652 3864 L 4654 3864 L 4655 3864 L 4657 3864 L 4658 3864 L 4660 3864 L 4662 3864 L 4663 3864 L 4665 4002 L 4667 3864 L 4668 3864 L 4670 3864 L 4671 3864 L 4673 3864 L 4675 3864 L 4676 4002 L 4678 3864 L 4680 3864 L 4681 3725 L 4683 3725 L 4684 3864 L 4686 3864 L 4688 3864 L 4689 3864 L 4691 3864 L 4693 3864 L 4694 3864 L 4696 3864 L 4698 3864 L 4699 3864 L 4701 3864 L 4702 3864 L 4704 3864 L 4706 3864 L 4707 3864 L 4709 3864 L 4711 3864 L 4712 3864 L 4714 4002 L 4716 4002 L 4717 4002 L 4719 4002 L 4720 3864 L 4722 3864 L 4724 3725 L 4725 3725 L 4727 3864 L 4729 3864 L 4730 3864 L 4732 4002 L 4733 4002 L 4735 4002 L 4737 4002 L 4738 4002 L 4740 4002 L 4742 3864 L 4743 3864 L 4745 3864 L 4746 3864 L 4748 4002 L 4750 4002 L 4751 4002 L 4753 4002 L 4754 4002 L 4756 4002 L 4758 4002 L 4759 4002 L 4761 4002 L 4763 4002 L 4764 4002 L 4766 3864 L 4768 3864 L 4769 3864 L 4771 3864 L 4772 3864 L 4774 3864 L 4776 3864 L 4777 3864 L 4779 3864 L 4781 3864 L 4782 3864 L 4784 3725 L 4785 3725 L 4787 3725 L 4789 4002 L 4790 4002 L 4792 4002 L 4793 4002 L 4795 4002 L 4797 4002 L 4798 4002 L 4800 4002 L 4802 4002 L 4803 4002 L 4805 4002 L 4807 4002 L 4808 4002 L 4810 4002 L 4812 4002 L 4813 4002 L 4815 4002 L 4816 4002 L 4818 4002 L 4820 4002 L 4821 4002 L 4823 4002 L 4825 4002 L 4826 4002 L 4828 4002 L 4829 3864 L 4831 3864 L 4833 3864 L 4834 3864 L 4836 3864 L 4838 3725 L 4839 3586 L 4841 3864 L 4842 3864 L 4844 4002 L 4846 4002 L 4847 4002 L 4849 4002 L 4850 4002 L 4852 4002 L 4854 4002 L 4855 4002 L 4857 4002 L 4859 4002 L 4860 4002 L 4862 4002 L 4863 4002 L 4865 4002 L 4867 4002 L 4868 3725 L 4870 3725 L 4871 3864 L 4873 4002 L 4875 4002 L 4876 3864 L 4878 3864 L 4880 3864 L 4881 3864 L 4883 4002 L 4885 3864 L 4886 4002 L 4888 4002 L 4889 4002 L 4891 4002 L 4893 4002 L 4894 3864 L 4896 3864 L 4898 4002 L 4899 4002 L 4901 4002 L 4902 4002 L 4904 4002 L 4906 4002 L 4907 4002 L 4909 4002 L 4911 4002 L 4912 4002 L 4914 4002 L 4915 4002 L 4917 4002 L 4919 3864 L 4920 3864 L 4922 3864 L 4924 3864 L 4925 3864 L 4927 3864 L 4928 3864 L 4930 3864 L 4932 3864 L 4933 3864 L 4935 3864 L 4937 4002 L 4938 4002 L 4940 4002 L 4941 4002 L 4943 4002 L 4945 4002 L 4946 4002 L 4948 3864 L 4950 4002 L 4951 4002 L 4953 4002 L 4955 3864 L 4956 3725 L 4958 3864 L 4959 3864 L 4961 4002 L 4963 3864 L 4964 3864 L 4966 3864 L 4968 3864 L 4969 4002 L 4971 4002 L 4972 4002 L 4974 3864 L 4976 4002 L 4977 4002 L 4979 3864 L 4980 3864 L 4982 3864 L 4984 3864 L 4985 3864 L 4987 4002 L 4989 4002 L 4990 4002 L 4992 4002 L 4993 3864 L 4995 3864 L 4997 3864 L 4998 3864 L 5000 3864 L 5002 3725 L 5003 4002 L 5005 4002 L 5006 4002 L 5008 3864 L 5010 3864 L 5011 4002 L 5013 4002 L 5015 3864 L 5016 3864 L 5018 3586 L 5019 3725 L 5021 3725 L 5023 4002 L 5024 4002 L 5026 4002 L 5028 4002 L 5029 4002 L 5031 4002 L 5032 3864 L 5034 3725 L 5036 3864 L 5037 3864 L 5039 3864 L 5041 3864 L 5042 4002 L 5044 4002 L 5045 4002 L 5047 4002 L 5049 4002 L 5050 4002 L 5052 4002 L 5054 3864 L 5055 4002 L 5057 4002 L 5058 4002 L 5060 4002 L 5062 3864 L 5063 4002 L 5065 4002 L 5067 3864 L 5068 4002 L 5070 4002 L 5071 3864 L 5073 3864 L 5075 3864 L 5076 3864 L 5078 3864 L 5079 4002 L 5081 4002 L 5083 4002 L 5084 4002 L 5086 4002 L 5088 4002 L 5089 3864 L 5091 4002 L 5092 4002 L 5094 4002 L 5096 3864 L 5097 3864 L 5099 4002 L 5101 4002 L 5102 4002 L 5104 4002 L 5105 4002 L 5107 3864 L 5109 4002 L 5110 3864 L 5112 4002 L 5113 4141 L 5115 4141 L 5117 4002 L 5118 4002 L 5120 4002 L 5122 4141 L 5123 4141 L 5125 4141 L 5127 4141 L S 5127 4141 M 5128 4141 L 5130 4002 L 5131 4141 L 5133 4141 L 5135 4141 L 5136 4002 L 5138 4141 L 5140 4141 L 5141 4141 L 5143 4002 L 5144 4002 L 5146 4141 L 5148 4002 L 5149 4141 L 5151 4002 L 5153 4141 L 5154 4141 L 5156 4002 L 5157 4002 L 5159 4141 L 5161 4141 L 5162 4141 L 5164 4141 L 5166 4280 L 5167 4141 L 5169 4141 L 5170 4141 L 5172 4141 L 5174 4002 L 5175 4002 L 5177 4002 L 5179 4141 L 5180 4141 L 5182 4002 L 5183 4141 L 5185 3864 L 5187 3725 L 5188 3725 L 5190 3864 L 5192 4002 L 5193 3864 L 5195 4002 L 5196 4002 L 5198 4002 L 5200 3864 L 5201 3864 L 5203 4002 L 5205 3864 L 5206 3864 L 5208 3864 L 5209 3864 L 5211 3864 L 5213 3864 L 5214 3864 L 5216 3864 L 5218 3864 L 5219 3864 L 5221 3864 L 5222 3864 L 5224 3864 L 5226 3864 L 5227 3864 L 5229 3864 L 5231 3864 L 5232 3864 L 5234 3864 L 5235 3864 L 5237 3864 L 5239 3864 L 5240 3864 L 5242 3864 L 5244 3864 L 5245 3864 L 5247 3864 L 5248 3864 L 5250 3864 L 5252 3864 L 5253 3864 L 5255 3864 L 5257 3864 L 5258 3864 L 5260 4002 L 5261 4002 L 5263 3864 L 5265 4002 L 5266 3864 L 5268 3864 L 5270 3864 L 5271 3864 L 5273 3725 L 5274 3725 L 5276 3864 L 5278 3864 L 5279 3725 L 5281 3725 L 5283 3725 L 5284 3725 L 5286 3725 L 5287 3586 L 5289 3586 L 5291 3586 L 5292 3725 L 5294 3725 L 5296 3864 L 5297 3725 L 5299 3725 L 5300 3725 L 5302 3725 L 5304 3864 L 5305 3864 L 5307 3864 L 5309 3864 L 5310 3725 L 5312 4002 L 5313 4002 L 5315 3864 L 5317 3864 L 5318 3864 L 5320 3725 L 5322 3725 L 5323 3725 L 5325 3864 L 5327 3725 L 5328 3725 L 5330 3864 L 5332 3864 L 5333 3725 L 5335 3725 L 5336 3725 L 5338 3864 L 5340 3725 L 5341 3725 L 5343 3864 L 5345 3725 L 5346 3725 L 5348 3725 L 5349 3725 L 5351 3725 L 5353 3725 L 5354 3725 L 5356 3725 L 5358 3725 L 5359 3725 L 5361 3725 L 5362 3725 L 5364 3864 L 5366 3725 L 5367 4002 L 5369 3864 L 5371 4002 L 5372 4002 L 5374 4002 L 5375 4141 L 5377 4141 L 5379 3864 L S grestore gsave newpath 357 1797 M 5763 1797 L 5763 6123 L 357 6123 L closepath clip newpath [] 0 setdash 5 setlinewidth 0 setgray 0.5 0 1.5 3219 5904 (plo1) T 0.5 0 1 3219 2056 (Time \(NTP days\)) T 0.5 90 1 455 4040 (Offset Error \(ms\)) T 1059 2616 M 1059 2672 L S 1924 2616 M 1924 2672 L S 2788 2616 M 2788 2672 L S 3652 2616 M 3652 2672 L S 4516 2616 M 4516 2672 L S 5380 2616 M 5380 2672 L S 1059 2616 M 5380 2616 L S 0.5 0 1 1059 2376 (7.0) T 0.5 0 1 1924 2376 (7.2) T 0.5 0 1 2788 2376 (7.4) T 0.5 0 1 3652 2376 (7.6) T 0.5 0 1 4516 2376 (7.8) T 0.5 0 1 5380 2376 (8.0) T 1015 2616 M 1072 2616 L S 1015 3309 M 1072 3309 L S 1015 4002 M 1072 4002 L S 1015 4696 M 1072 4696 L S 1015 5389 M 1072 5389 L S 1015 2616 M 1015 5389 L S 0.5 90 1 775 2616 (-10) T 0.5 90 1 775 3309 (-5) T 0.5 90 1 775 4002 (0) T 0.5 90 1 775 4696 (5) T 0.5 90 1 775 5389 (10) T grestore gsave newpath 1013 2613 M 5426 2613 L 5426 5467 L 1013 5467 L closepath clip newpath [] 0 setdash 5 setlinewidth 0 setgray 1015 5463 M 1015 2616 L 5423 2616 L 5423 5463 L 1015 5463 L S grestore gsave grestore %%Trailer %%Pages: 1 end %%EndFile svobj restore gr gs /svobj save def greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset 225 1023 2324 1023 2324 744 225 744 np mto lto lto lto clip np /tface 8 def 8 encfont colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 927 865 697 5 (Figure 8. Radio Clock Offset Error)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset -75 3374 2624 3374 2624 2825 -75 2825 np mto lto lto lto clip np /tface 4 def 4 encfont colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 2979 227 1 (RFC 1128)fjt 805 2979 941 5 (Performance of the Network Time Protocol)fjt 1948 2979 302 1 (October 1989)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset -75 474 2624 474 2624 -75 -75 -75 np mto lto lto lto clip np /tface 4 def colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 279 100 0 (Mills)fjt 2065 279 186 1 (Page 15)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np %End page showpage svobj restore gr gs /svobj save def %Begin page UserSoP greset -75 3374 2624 3374 2624 -75 -75 -75 np mto lto lto lto clip np /tface 8 def 8 encfont colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 2841 1851 15 (and the receiver must change operating frequency to match. An explanation for the surges is ev)fjt 2151 2841 100 0 (ident)fjt 300 2782 1903 15 (in Figure 8, which shows the measured offsets during an interval including a typical surge. T)fjt 2203 2782 47 0 (he)fjt 300 2724 1950 16 (figure shows a negative phase excursion of about 10 ms near the time the MUF would ordinarily)fjt 300 2666 1858 16 (fall in the evening and a similar positive excursion near the time the MUF would ordinarily ri)fjt 2158 2666 93 1 (se in)fjt 300 2608 1950 13 (the morning. Since these excursions are far beyond those expected due to ionospheric behavior)fjt 300 2549 1394 13 (alone, the results may point to a defect in the radio clock design itself.)fjt /tface 5 def 5 encfont sf 300 2457 42 0 (4.)fjt (s)29 (n)30 (o)12 (i)27 (s)30 (u)12 (l)27 (c)30 (n)29 (o)35 (C)13 ( )0 12 350 2457 fet /tface 8 def sf 300 2367 1918 14 (Over the years it has become something of a challenge to discover and implement architecture)fjt 2218 2367 32 0 (s,)fjt 300 2308 1845 11 (algorithms and protocols which deliver precision time in a statistically rambunctious Intern)fjt 2145 2308 105 1 (et. In)fjt 300 2250 1847 12 (perspective, for the ultimate accuracy in frequency and time transfer, navigation systems su)fjt 2147 2250 103 1 (ch as)fjt 300 2192 1950 12 (LORAN-C, OMEGA and GPS, augmented by portable atomic clocks, are the preferred method.)fjt 300 2134 1847 16 (On the other hand, it is of some interest to identify the limitations and estimate the magnitu)fjt 2147 2134 103 1 (de of)fjt 300 2075 1950 14 (the timekeeping errors using NTP and typical Internet hosts and network paths. This paper has)fjt 300 2017 1950 15 (identified some of what are believed to be the major limitations in accuracy and measured their)fjt 300 1959 1481 9 (effects in large-scale experiments involving major portions of the Internet.)fjt 300 1864 1911 14 (The results demonstrated in this paper suggest several improvements that can be made in subseque)fjt 2211 1864 39 0 (nt)fjt 300 1806 1950 10 (versions of the protocol and hardware/software implementations, such as improved radio-clock)fjt 300 1748 1912 11 (designs, improved timebase hardware, at least at the primary servers, improved frequency-estim)fjt 2212 1748 22 0 (a)fjt 2234 1748 17 0 (-)fjt 300 1689 1950 12 (tion algorithms and more diligent monitoring of the synchronization subnet. When a sufficient)fjt 300 1631 1351 9 (number of these improvements mature, NTP Version 3 may appear.)fjt /tface 5 def sf 300 1536 42 0 (5.)fjt (s)27 (e)27 (c)29 (n)27 (e)18 (r)27 (e)15 (f)27 (e)35 (R)13 ( )0 11 350 1536 fet /tface 8 def sf 300 1443 193 1 ([BER87] )fjt 493 1443 664 5 (Bertsekas, D., and R. Gallager. )fjt /tface 10 def 10 encfont sf 1157 1443 307 1 (Data Networks)fjt /tface 8 def sf 1463 1443 787 4 (. Prentice-Hall, Englewood Cliffs, NJ,)fjt 375 1385 113 0 (1987.)fjt 300 1288 187 1 ([BES82] )fjt 487 1288 1763 12 (Beser, J., and B.W. Parkinson. The application of NAVSTAR differential GPS in the)fjt 375 1230 414 2 (civilian community. )fjt /tface 10 def sf 789 1230 334 2 (Navigation 29, 2)fjt /tface 8 def sf 1123 1230 339 2 ( \(Summer 1982\).)fjt 300 1134 195 1 ([BLA74] )fjt 495 1134 364 3 (Blair, B.E. \(Ed.\). )fjt /tface 10 def sf 860 1134 972 5 (Time and Frequency Theory and Fundamentals)fjt /tface 8 def sf 1832 1134 419 3 (. National Bureau of)fjt 375 1076 1312 7 (Standards Monograph 140, U.S. Department of Commerce, 1974.)fjt 300 979 195 1 ([COL88] )fjt 495 979 1309 10 (Cole, R., and C. Foxcroft. An experiment in clock synchronisation. )fjt /tface 10 def sf 1804 979 446 2 (The Computer Journal)fjt 375 921 50 0 (31)fjt /tface 8 def sf 425 921 400 3 (, 6 \(1988\), 496-502.)fjt 300 825 201 1 ([DAR81] )fjt (.)14 (l)25 (o)22 (c)25 (o)14 (t)25 (o)16 (r)28 (P)25 ( )22 (e)25 (g)22 (a)19 (s)20 (s)22 (e)44 (M)25 ( )14 (l)25 (o)17 (r)14 (t)25 (n)25 (o)34 (C)25 ( )14 (t)22 (e)25 (n)17 (r)22 (e)14 (t)26 (n)16 (I)25 ( )13 (.)25 (y)23 (c)25 (n)22 (e)25 (g)37 (A)25 ( )19 (s)14 (t)22 (c)23 (e)14 (j)25 (o)17 (r)28 (P)25 ( )25 (h)22 (c)17 (r)22 (a)22 (e)20 (s)22 (e)34 (R)25 ( )25 (d)22 (e)22 (c)26 (n)22 (a)25 (v)25 (d)37 (A)25 ( )22 (e)19 (s)26 (n)22 (e)17 (f)22 (e)36 (D)0 77 501 825 fet 375 766 1875 9 (DARPA Network Working Group Report RFC-792, USC Information Sciences Institute,)fjt 375 708 338 1 (September 1981.)fjt 300 612 193 1 ([FRA82] )fjt 493 612 705 5 (Frank, R.L. History of LORAN-C. )fjt /tface 10 def sf 1197 612 334 2 (Navigation 29, 1)fjt /tface 8 def sf 1531 612 304 2 ( \(Spring 1982\).)fjt 300 516 195 1 ([GUS85] )fjt 495 516 1755 11 (Gusella, R., and S. Zatti. The Berkeley UNIX 4.3BSD time synchronization protocol:)fjt 375 457 1875 9 (protocol specification. Technical Report UCB/CSD 85/250, University of California, Berkeley,)fjt 375 399 216 1 (June 1985.)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset -75 3374 2624 3374 2624 2825 -75 2825 np mto lto lto lto clip np /tface 4 def 4 encfont colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 2979 227 1 (RFC 1128)fjt 805 2979 941 5 (Performance of the Network Time Protocol)fjt 1948 2979 302 1 (October 1989)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset -75 474 2624 474 2624 -75 -75 -75 np mto lto lto lto clip np /tface 4 def colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 279 100 0 (Mills)fjt 2065 279 186 1 (Page 16)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np %End page showpage svobj restore gr gs /svobj save def %Begin page UserSoP greset -75 3374 2624 3374 2624 -75 -75 -75 np mto lto lto lto clip np /tface 8 def 8 encfont colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 2839 195 1 ([KOP87] )fjt 495 2839 1755 10 (Kopetz, H., and W. Ochsenreiter. Clock synchronization in distributed real-time systems.)fjt /tface 10 def 10 encfont sf 375 2781 618 4 (IEEE Trans. Computers C-36, )fjt /tface 8 def sf 993 2781 531 3 (8 \(August 1987\), 933-939.)fjt 300 2669 187 1 ([MIL83] )fjt 487 2669 1763 9 (Mills, D.L. DCN local-network protocols. DARPA Network Working Group Report)fjt 375 2611 970 4 (RFC-891, M/A-COM Linkabit, December 1983.)fjt 300 2499 209 1 ([MIL85a] )fjt 509 2499 1741 9 (Mills, D.L. Algorithms for synchronizing network clocks. DARPA Network Working)fjt 375 2441 1267 6 (Group Report RFC-956, M/A-COM Linkabit, September 1985.)fjt 300 2329 212 1 ([MIL85b] )fjt 512 2329 1738 9 (Mills, D.L. Experiments in network clock synchronization. DARPA Network Working)fjt 375 2270 1267 6 (Group Report RFC-957, M/A-COM Linkabit, September 1985.)fjt 300 2158 209 1 ([MIL88a] )fjt (.)25 (n)25 (o)14 (i)14 (t)22 (a)14 (t)25 (n)22 (e)38 (m)22 (e)14 (l)25 (p)39 (m)14 (i)25 ( )25 (d)25 (n)22 (a)25 ( )25 (n)25 (o)13 (i)14 (t)22 (a)22 (c)14 (i)16 (f)14 (i)22 (c)22 (e)25 (p)19 (s)25 ( )17 (\))25 (1)25 ( )25 (n)25 (o)14 (i)19 (s)16 (r)22 (e)25 (v)17 (\()25 ( )14 (l)25 (o)22 (c)25 (o)13 (t)25 (o)17 (r)28 (P)25 ( )22 (e)38 (m)14 (i)31 (T)25 ( )25 (k)17 (r)25 (o)36 (w)14 (t)23 (e)36 (N)25 ( )13 (.)30 (L)13 (.)36 (D)25 ( )13 (,)20 (s)14 (l)14 (l)14 (i)44 (M)0 79 509 2158 fet 375 2100 1782 10 (DARPA Network Working Group Report RFC-1059, University of Delaware, July 1988.)fjt 300 1988 212 1 ([MIL88b] )fjt 512 1988 501 4 (Mills, D.L. The fuzzball. )fjt /tface 10 def sf 1013 1988 763 4 (Proc. ACM SIGCOMM 88 Symposium)fjt /tface 8 def sf 1776 1988 474 4 ( \(Palo Alto, CA, August)fjt 375 1930 321 1 (1988\), 115-122.)fjt 300 1818 209 1 ([MIL89a] )fjt 509 1818 1741 10 (Mills, D.L. Internet time synchronization: the Network Time Protocol. DARPA Network)fjt 375 1760 1491 8 (Working Group Report RFC-1129, University of Delaware, October 1989.)fjt 300 1648 212 1 ([MIL89b] )fjt 512 1648 1738 9 (Mills, D.L. Network Time Protocol \(version 2\) specification and implementation.)fjt 375 1590 1875 10 (DARPA Network Working Group Report RFC-1119, University of Delaware, September 1989.)fjt 300 1478 187 1 ([MIT80] )fjt 487 1478 1763 11 (Mitra, D. Network synchronization: analysis of a hybrid of master-slave and mutual)fjt 375 1420 343 1 (synchronization. )fjt /tface 10 def sf 718 1420 814 4 (IEEE Trans. Communications COM-28, )fjt /tface 8 def sf 1532 1420 581 3 (8 \(August 1980\), 1245-1259.)fjt 300 1308 209 1 ([MOC87] )fjt 509 1308 1741 10 (Mockapetris, P. Domain names - concepts and facilities. DARPA Network Working)fjt 375 1250 1593 8 (Group Report RFC-1034, USC Information Sciences Institute, November 1987.)fjt 300 1138 193 1 ([NBS79] )fjt /tface 10 def sf 493 1138 895 4 (Time and Frequency Dissemination Services.)fjt /tface 8 def sf 1388 1138 846 6 ( NBS Special Publication 432, U.S. Depart)fjt 2234 1138 17 0 (-)fjt 375 1080 522 3 (ment of Commerce, 1979.)fjt 300 968 209 1 ([POS83a] )fjt 509 968 1741 10 (Postel, J. Daytime protocol. DARPA Network Working Group Report RFC-867, USC)fjt 375 909 841 4 (Information Sciences Institute, May 1983.)fjt 300 797 212 1 ([POS83b] )fjt 512 797 1738 10 (Postel, J. Time protocol. DARPA Network Working Group Report RFC-868, USC)fjt 375 739 841 4 (Information Sciences Institute, May 1983.)fjt 300 628 159 1 ([SU81] )fjt 459 628 1791 12 (Su, Z. A specification of the Internet protocol \(IP\) timestamp option. DARPA Network)fjt 375 569 1274 7 (Working Group Report RFC-781. SRI International, May 1981.)fjt 300 457 195 1 ([VAS78] )fjt 495 457 1533 10 (Vass, E.R. OMEGA navigation system: present status and plans 1977-1980. )fjt /tface 10 def sf 2029 457 222 0 (Navigation)fjt 375 399 100 1 (25, 1)fjt /tface 8 def sf 475 399 304 2 ( \(Spring 1978\).)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset -75 3374 2624 3374 2624 2825 -75 2825 np mto lto lto lto clip np /tface 4 def 4 encfont colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 2979 227 1 (RFC 1128)fjt 805 2979 941 5 (Performance of the Network Time Protocol)fjt 1948 2979 302 1 (October 1989)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset -75 474 2624 474 2624 -75 -75 -75 np mto lto lto lto clip np /tface 4 def colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 279 100 0 (Mills)fjt 2065 279 186 1 (Page 17)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np %End page showpage svobj restore gr gs /svobj save def %Begin page UserSoP greset -75 3374 2624 3374 2624 -75 -75 -75 np mto lto lto lto clip np /tface 8 def 8 encfont colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 2839 466 1 (Security considerations)fjt 375 2779 304 1 (Not applicable.)fjt 300 2689 339 1 (Author's address)fjt 375 2629 295 2 (David L. Mills)fjt 375 2569 693 2 (Electrical Engineering Department)fjt 375 2509 467 2 (University of Delaware)fjt 375 2449 387 2 (Newark, DE 19716)fjt 375 2389 449 2 (Phone \(302\) 451-8247)fjt 375 2329 452 1 (EMail mills@udel.edu)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset -75 3374 2624 3374 2624 2825 -75 2825 np mto lto lto lto clip np /tface 4 def 4 encfont colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 2979 227 1 (RFC 1128)fjt 805 2979 941 5 (Performance of the Network Time Protocol)fjt 1948 2979 302 1 (October 1989)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np greset -75 474 2624 474 2624 -75 -75 -75 np mto lto lto lto clip np /tface 4 def colmap 1 [0 0 0 ] put 1 sci /tszabs false def /txscale 1200 3 mul 72 div def /tyscale 1200 3 mul 72 div def /trotate 0 def /halign 0 def /valign 0 def /tunder false def sf 300 279 100 0 (Mills)fjt 2065 279 186 1 (Page 18)fjt greset -300 3599 2850 3599 2850 -301 -300 -301 np mto lto lto lto clip np %End page showpage svobj restore gr gs /svobj save def %Begin page UserSoP svobj restore gr end grestore %%Trailer %%Pages: 18 %%EOF