| 1 | %!PS-Adobe-2.0 |
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| 2 | %%Creator: dvips(k) 5.85 Copyright 1999 Radical Eye Software |
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| 3 | %%Title: pres2.dvi |
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| 4 | %%Pages: 5 |
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| 5 | %%PageOrder: Ascend |
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| 6 | %%Orientation: Landscape |
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| 7 | %%BoundingBox: 0 0 596 842 |
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| 8 | %%DocumentFonts: Times-Roman CMSY8 Times-Italic CMR8 CMMI8 Times-Bold |
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| 9 | %%+ CMR6 CMMI6 CMEX10 CMR5 CMMI5 CMSY5 Courier CMSY6 |
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| 10 | %%EndComments |
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| 11 | %DVIPSWebPage: (www.radicaleye.com) |
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| 12 | %DVIPSCommandLine: dvips pres2.dvi -o pres2.ps |
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| 13 | %DVIPSParameters: dpi=600, compressed, comments removed |
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| 14 | %DVIPSSource: TeX output 2001.03.26:0939 |
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| 15 | %%BeginProcSet: texc.pro |
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| 16 | /TeXDict 300 dict def TeXDict begin/N{def}def/B{bind def}N/S{exch}N/X{S |
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| 17 | N}B/A{dup}B/TR{translate}N/isls false N/vsize 11 72 mul N/hsize 8.5 72 |
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| 18 | mul N/landplus90{false}def/@rigin{isls{[0 landplus90{1 -1}{-1 1}ifelse 0 |
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| 19 | 0 0]concat}if 72 Resolution div 72 VResolution div neg scale isls{ |
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| 20 | landplus90{VResolution 72 div vsize mul 0 exch}{Resolution -72 div hsize |
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| 21 | mul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul TR[ |
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| 22 | matrix currentmatrix{A A round sub abs 0.00001 lt{round}if}forall round |
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| 23 | exch round exch]setmatrix}N/@landscape{/isls true N}B/@manualfeed{ |
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| 24 | statusdict/manualfeed true put}B/@copies{/#copies X}B/FMat[1 0 0 -1 0 0] |
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| 25 | N/FBB[0 0 0 0]N/nn 0 N/IEn 0 N/ctr 0 N/df-tail{/nn 8 dict N nn begin |
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| 26 | /FontType 3 N/FontMatrix fntrx N/FontBBox FBB N string/base X array |
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| 27 | /BitMaps X/BuildChar{CharBuilder}N/Encoding IEn N end A{/foo setfont}2 |
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| 28 | array copy cvx N load 0 nn put/ctr 0 N[}B/sf 0 N/df{/sf 1 N/fntrx FMat N |
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| 29 | df-tail}B/dfs{div/sf X/fntrx[sf 0 0 sf neg 0 0]N df-tail}B/E{pop nn A |
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| 30 | definefont setfont}B/Cw{Cd A length 5 sub get}B/Ch{Cd A length 4 sub get |
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| 31 | }B/Cx{128 Cd A length 3 sub get sub}B/Cy{Cd A length 2 sub get 127 sub} |
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| 32 | B/Cdx{Cd A length 1 sub get}B/Ci{Cd A type/stringtype ne{ctr get/ctr ctr |
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| 33 | 1 add N}if}B/id 0 N/rw 0 N/rc 0 N/gp 0 N/cp 0 N/G 0 N/CharBuilder{save 3 |
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| 34 | 1 roll S A/base get 2 index get S/BitMaps get S get/Cd X pop/ctr 0 N Cdx |
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| 35 | 0 Cx Cy Ch sub Cx Cw add Cy setcachedevice Cw Ch true[1 0 0 -1 -.1 Cx |
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| 36 | sub Cy .1 sub]/id Ci N/rw Cw 7 add 8 idiv string N/rc 0 N/gp 0 N/cp 0 N{ |
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| 37 | rc 0 ne{rc 1 sub/rc X rw}{G}ifelse}imagemask restore}B/G{{id gp get/gp |
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| 38 | gp 1 add N A 18 mod S 18 idiv pl S get exec}loop}B/adv{cp add/cp X}B |
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| 39 | /chg{rw cp id gp 4 index getinterval putinterval A gp add/gp X adv}B/nd{ |
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| 40 | /cp 0 N rw exit}B/lsh{rw cp 2 copy get A 0 eq{pop 1}{A 255 eq{pop 254}{ |
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| 41 | A A add 255 and S 1 and or}ifelse}ifelse put 1 adv}B/rsh{rw cp 2 copy |
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| 42 | get A 0 eq{pop 128}{A 255 eq{pop 127}{A 2 idiv S 128 and or}ifelse} |
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| 43 | ifelse put 1 adv}B/clr{rw cp 2 index string putinterval adv}B/set{rw cp |
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| 44 | fillstr 0 4 index getinterval putinterval adv}B/fillstr 18 string 0 1 17 |
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| 45 | {2 copy 255 put pop}for N/pl[{adv 1 chg}{adv 1 chg nd}{1 add chg}{1 add |
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| 46 | chg nd}{adv lsh}{adv lsh nd}{adv rsh}{adv rsh nd}{1 add adv}{/rc X nd}{ |
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| 47 | 1 add set}{1 add clr}{adv 2 chg}{adv 2 chg nd}{pop nd}]A{bind pop} |
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| 48 | forall N/D{/cc X A type/stringtype ne{]}if nn/base get cc ctr put nn |
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| 49 | /BitMaps get S ctr S sf 1 ne{A A length 1 sub A 2 index S get sf div put |
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| 50 | }if put/ctr ctr 1 add N}B/I{cc 1 add D}B/bop{userdict/bop-hook known{ |
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| 51 | bop-hook}if/SI save N @rigin 0 0 moveto/V matrix currentmatrix A 1 get A |
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| 52 | mul exch 0 get A mul add .99 lt{/QV}{/RV}ifelse load def pop pop}N/eop{ |
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| 53 | SI restore userdict/eop-hook known{eop-hook}if showpage}N/@start{ |
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| 54 | userdict/start-hook known{start-hook}if pop/VResolution X/Resolution X |
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| 55 | 1000 div/DVImag X/IEn 256 array N 2 string 0 1 255{IEn S A 360 add 36 4 |
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| 56 | index cvrs cvn put}for pop 65781.76 div/vsize X 65781.76 div/hsize X}N |
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| 57 | /p{show}N/RMat[1 0 0 -1 0 0]N/BDot 260 string N/Rx 0 N/Ry 0 N/V{}B/RV/v{ |
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| 58 | /Ry X/Rx X V}B statusdict begin/product where{pop false[(Display)(NeXT) |
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| 59 | (LaserWriter 16/600)]{A length product length le{A length product exch 0 |
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| 60 | exch getinterval eq{pop true exit}if}{pop}ifelse}forall}{false}ifelse |
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| 61 | end{{gsave TR -.1 .1 TR 1 1 scale Rx Ry false RMat{BDot}imagemask |
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| 62 | grestore}}{{gsave TR -.1 .1 TR Rx Ry scale 1 1 false RMat{BDot} |
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| 63 | imagemask grestore}}ifelse B/QV{gsave newpath transform round exch round |
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| 64 | exch itransform moveto Rx 0 rlineto 0 Ry neg rlineto Rx neg 0 rlineto |
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| 65 | fill grestore}B/a{moveto}B/delta 0 N/tail{A/delta X 0 rmoveto}B/M{S p |
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| 66 | delta add tail}B/b{S p tail}B/c{-4 M}B/d{-3 M}B/e{-2 M}B/f{-1 M}B/g{0 M} |
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| 67 | B/h{1 M}B/i{2 M}B/j{3 M}B/k{4 M}B/w{0 rmoveto}B/l{p -4 w}B/m{p -3 w}B/n{ |
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| 68 | p -2 w}B/o{p -1 w}B/q{p 1 w}B/r{p 2 w}B/s{p 3 w}B/t{p 4 w}B/x{0 S |
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| 69 | rmoveto}B/y{3 2 roll p a}B/bos{/SS save N}B/eos{SS restore}B end |
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| 70 | |
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| 71 | %%EndProcSet |
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| 72 | %%BeginProcSet: 8r.enc |
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| 73 | % @@psencodingfile@{ |
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| 74 | % author = "S. Rahtz, P. MacKay, Alan Jeffrey, B. Horn, K. Berry", |
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| 75 | % version = "0.6", |
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| 76 | % date = "1 July 1998", |
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| 77 | % filename = "8r.enc", |
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| 78 | % email = "tex-fonts@@tug.org", |
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| 79 | % docstring = "Encoding for TrueType or Type 1 fonts |
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| 80 | % to be used with TeX." |
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| 81 | % @} |
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| 82 | % |
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| 83 | % Idea is to have all the characters normally included in Type 1 fonts |
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| 84 | % available for typesetting. This is effectively the characters in Adobe |
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| 85 | % Standard Encoding + ISO Latin 1 + extra characters from Lucida. |
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| 86 | % |
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| 87 | % Character code assignments were made as follows: |
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| 88 | % |
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| 89 | % (1) the Windows ANSI characters are almost all in their Windows ANSI |
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| 90 | % positions, because some Windows users cannot easily reencode the |
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| 91 | % fonts, and it makes no difference on other systems. The only Windows |
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| 92 | % ANSI characters not available are those that make no sense for |
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| 93 | % typesetting -- rubout (127 decimal), nobreakspace (160), softhyphen |
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| 94 | % (173). quotesingle and grave are moved just because it's such an |
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| 95 | % irritation not having them in TeX positions. |
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| 96 | % |
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| 97 | % (2) Remaining characters are assigned arbitrarily to the lower part |
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| 98 | % of the range, avoiding 0, 10 and 13 in case we meet dumb software. |
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| 99 | % |
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| 100 | % (3) Y&Y Lucida Bright includes some extra text characters; in the |
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| 101 | % hopes that other PostScript fonts, perhaps created for public |
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| 102 | % consumption, will include them, they are included starting at 0x12. |
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| 103 | % |
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| 104 | % (4) Remaining positions left undefined are for use in (hopefully) |
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| 105 | % upward-compatible revisions, if someday more characters are generally |
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| 106 | % available. |
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| 107 | % |
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| 108 | % (5) hyphen appears twice for compatibility with both |
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| 109 | % ASCII and Windows. |
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| 110 | % |
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| 111 | /TeXBase1Encoding [ |
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| 112 | % 0x00 (encoded characters from Adobe Standard not in Windows 3.1) |
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| 113 | /.notdef /dotaccent /fi /fl |
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| 114 | /fraction /hungarumlaut /Lslash /lslash |
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| 115 | /ogonek /ring /.notdef |
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| 116 | /breve /minus /.notdef |
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| 117 | % These are the only two remaining unencoded characters, so may as |
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| 118 | % well include them. |
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| 119 | /Zcaron /zcaron |
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| 120 | % 0x10 |
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| 121 | /caron /dotlessi |
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| 122 | % (unusual TeX characters available in, e.g., Lucida Bright) |
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| 123 | /dotlessj /ff /ffi /ffl |
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| 124 | /.notdef /.notdef /.notdef /.notdef |
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| 125 | /.notdef /.notdef /.notdef /.notdef |
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| 126 | % very contentious; it's so painful not having quoteleft and quoteright |
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| 127 | % at 96 and 145 that we move the things normally found there to here. |
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| 128 | /grave /quotesingle |
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| 129 | % 0x20 (ASCII begins) |
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| 130 | /space /exclam /quotedbl /numbersign |
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| 131 | /dollar /percent /ampersand /quoteright |
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| 132 | /parenleft /parenright /asterisk /plus /comma /hyphen /period /slash |
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| 133 | % 0x30 |
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| 134 | /zero /one /two /three /four /five /six /seven |
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| 135 | /eight /nine /colon /semicolon /less /equal /greater /question |
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| 136 | % 0x40 |
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| 137 | /at /A /B /C /D /E /F /G /H /I /J /K /L /M /N /O |
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| 138 | % 0x50 |
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| 139 | /P /Q /R /S /T /U /V /W |
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| 140 | /X /Y /Z /bracketleft /backslash /bracketright /asciicircum /underscore |
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| 141 | % 0x60 |
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| 142 | /quoteleft /a /b /c /d /e /f /g /h /i /j /k /l /m /n /o |
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| 143 | % 0x70 |
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| 144 | /p /q /r /s /t /u /v /w |
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| 145 | /x /y /z /braceleft /bar /braceright /asciitilde |
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| 146 | /.notdef % rubout; ASCII ends |
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| 147 | % 0x80 |
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| 148 | /.notdef /.notdef /quotesinglbase /florin |
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| 149 | /quotedblbase /ellipsis /dagger /daggerdbl |
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| 150 | /circumflex /perthousand /Scaron /guilsinglleft |
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| 151 | /OE /.notdef /.notdef /.notdef |
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| 152 | % 0x90 |
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| 153 | /.notdef /.notdef /.notdef /quotedblleft |
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| 154 | /quotedblright /bullet /endash /emdash |
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| 155 | /tilde /trademark /scaron /guilsinglright |
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| 156 | /oe /.notdef /.notdef /Ydieresis |
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| 157 | % 0xA0 |
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| 158 | /.notdef % nobreakspace |
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| 159 | /exclamdown /cent /sterling |
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| 160 | /currency /yen /brokenbar /section |
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| 161 | /dieresis /copyright /ordfeminine /guillemotleft |
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| 162 | /logicalnot |
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| 163 | /hyphen % Y&Y (also at 45); Windows' softhyphen |
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| 164 | /registered |
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| 165 | /macron |
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| 166 | % 0xD0 |
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| 167 | /degree /plusminus /twosuperior /threesuperior |
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| 168 | /acute /mu /paragraph /periodcentered |
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| 169 | /cedilla /onesuperior /ordmasculine /guillemotright |
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| 170 | /onequarter /onehalf /threequarters /questiondown |
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| 171 | % 0xC0 |
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| 172 | /Agrave /Aacute /Acircumflex /Atilde /Adieresis /Aring /AE /Ccedilla |
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| 173 | /Egrave /Eacute /Ecircumflex /Edieresis |
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| 174 | /Igrave /Iacute /Icircumflex /Idieresis |
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| 175 | % 0xD0 |
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| 176 | /Eth /Ntilde /Ograve /Oacute |
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| 177 | /Ocircumflex /Otilde /Odieresis /multiply |
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| 178 | /Oslash /Ugrave /Uacute /Ucircumflex |
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| 179 | /Udieresis /Yacute /Thorn /germandbls |
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| 180 | % 0xE0 |
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| 181 | /agrave /aacute /acircumflex /atilde |
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| 182 | /adieresis /aring /ae /ccedilla |
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| 183 | /egrave /eacute /ecircumflex /edieresis |
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| 184 | /igrave /iacute /icircumflex /idieresis |
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| 185 | % 0xF0 |
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| 186 | /eth /ntilde /ograve /oacute |
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| 187 | /ocircumflex /otilde /odieresis /divide |
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| 188 | /oslash /ugrave /uacute /ucircumflex |
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| 189 | /udieresis /yacute /thorn /ydieresis |
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| 190 | ] def |
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| 191 | |
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| 192 | %%EndProcSet |
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| 193 | %%BeginProcSet: pstricks.pro |
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| 194 | % PostScript prologue for pstricks.tex. |
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| 195 | % Version 97 patch 3, 98/06/01 |
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| 196 | % For distribution, see pstricks.tex. |
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| 197 | % |
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| 198 | /tx@Dict 200 dict def tx@Dict begin |
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| 199 | /ADict 25 dict def |
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| 200 | /CM { matrix currentmatrix } bind def |
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| 201 | /SLW /setlinewidth load def |
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| 202 | /CLW /currentlinewidth load def |
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| 203 | /CP /currentpoint load def |
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| 204 | /ED { exch def } bind def |
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| 205 | /L /lineto load def |
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| 206 | /T /translate load def |
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| 207 | /TMatrix { } def |
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| 208 | /RAngle { 0 } def |
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| 209 | /Atan { /atan load stopped { pop pop 0 } if } def |
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| 210 | /Div { dup 0 eq { pop } { div } ifelse } def |
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| 211 | /NET { neg exch neg exch T } def |
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| 212 | /Pyth { dup mul exch dup mul add sqrt } def |
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| 213 | /PtoC { 2 copy cos mul 3 1 roll sin mul } def |
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| 214 | /PathLength@ { /z z y y1 sub x x1 sub Pyth add def /y1 y def /x1 x def } |
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| 215 | def |
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| 216 | /PathLength { flattenpath /z 0 def { /y1 ED /x1 ED /y2 y1 def /x2 x1 def |
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| 217 | } { /y ED /x ED PathLength@ } {} { /y y2 def /x x2 def PathLength@ } |
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| 218 | /pathforall load stopped { pop pop pop pop } if z } def |
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| 219 | /STP { .996264 dup scale } def |
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| 220 | /STV { SDict begin normalscale end STP } def |
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| 221 | /DashLine { dup 0 gt { /a .5 def PathLength exch div } { pop /a 1 def |
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| 222 | PathLength } ifelse /b ED /x ED /y ED /z y x add def b a .5 sub 2 mul y |
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| 223 | mul sub z Div round z mul a .5 sub 2 mul y mul add b exch Div dup y mul |
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| 224 | /y ED x mul /x ED x 0 gt y 0 gt and { [ y x ] 1 a sub y mul } { [ 1 0 ] |
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| 225 | 0 } ifelse setdash stroke } def |
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| 226 | /DotLine { /b PathLength def /a ED /z ED /y CLW def /z y z add def a 0 gt |
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| 227 | { /b b a div def } { a 0 eq { /b b y sub def } { a -3 eq { /b b y add |
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| 228 | def } if } ifelse } ifelse [ 0 b b z Div round Div dup 0 le { pop 1 } if |
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| 229 | ] a 0 gt { 0 } { y 2 div a -2 gt { neg } if } ifelse setdash 1 |
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| 230 | setlinecap stroke } def |
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| 231 | /LineFill { gsave abs CLW add /a ED a 0 dtransform round exch round exch |
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| 232 | 2 copy idtransform exch Atan rotate idtransform pop /a ED .25 .25 |
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| 233 | % DG/SR modification begin - Dec. 12, 1997 - Patch 2 |
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| 234 | %itransform translate pathbbox /y2 ED a Div ceiling cvi /x2 ED /y1 ED a |
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| 235 | itransform pathbbox /y2 ED a Div ceiling cvi /x2 ED /y1 ED a |
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| 236 | % DG/SR modification end |
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| 237 | Div cvi /x1 ED /y2 y2 y1 sub def clip newpath 2 setlinecap systemdict |
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| 238 | /setstrokeadjust known { true setstrokeadjust } if x2 x1 sub 1 add { x1 |
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| 239 | % DG/SR modification begin - Jun. 1, 1998 - Patch 3 (from Michael Vulis) |
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| 240 | % a mul y1 moveto 0 y2 rlineto stroke /x1 x1 1 add def } repeat grestore } |
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| 241 | % def |
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| 242 | a mul y1 moveto 0 y2 rlineto stroke /x1 x1 1 add def } repeat grestore |
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| 243 | pop pop } def |
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| 244 | % DG/SR modification end |
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| 245 | /BeginArrow { ADict begin /@mtrx CM def gsave 2 copy T 2 index sub neg |
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| 246 | exch 3 index sub exch Atan rotate newpath } def |
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| 247 | /EndArrow { @mtrx setmatrix CP grestore end } def |
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| 248 | /Arrow { CLW mul add dup 2 div /w ED mul dup /h ED mul /a ED { 0 h T 1 -1 |
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| 249 | scale } if w neg h moveto 0 0 L w h L w neg a neg rlineto gsave fill |
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| 250 | grestore } def |
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| 251 | /Tbar { CLW mul add /z ED z -2 div CLW 2 div moveto z 0 rlineto stroke 0 |
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| 252 | CLW moveto } def |
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| 253 | /Bracket { CLW mul add dup CLW sub 2 div /x ED mul CLW add /y ED /z CLW 2 |
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| 254 | div def x neg y moveto x neg CLW 2 div L x CLW 2 div L x y L stroke 0 |
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| 255 | CLW moveto } def |
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| 256 | /RoundBracket { CLW mul add dup 2 div /x ED mul /y ED /mtrx CM def 0 CLW |
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| 257 | 2 div T x y mul 0 ne { x y scale } if 1 1 moveto .85 .5 .35 0 0 0 |
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| 258 | curveto -.35 0 -.85 .5 -1 1 curveto mtrx setmatrix stroke 0 CLW moveto } |
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| 259 | def |
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| 260 | /SD { 0 360 arc fill } def |
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| 261 | /EndDot { { /z DS def } { /z 0 def } ifelse /b ED 0 z DS SD b { 0 z DS |
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| 262 | CLW sub SD } if 0 DS z add CLW 4 div sub moveto } def |
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| 263 | /Shadow { [ { /moveto load } { /lineto load } { /curveto load } { |
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| 264 | /closepath load } /pathforall load stopped { pop pop pop pop CP /moveto |
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| 265 | load } if ] cvx newpath 3 1 roll T exec } def |
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| 266 | /NArray { aload length 2 div dup dup cvi eq not { exch pop } if /n exch |
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| 267 | cvi def } def |
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| 268 | /NArray { /f ED counttomark 2 div dup cvi /n ED n eq not { exch pop } if |
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| 269 | f { ] aload /Points ED } { n 2 mul 1 add -1 roll pop } ifelse } def |
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| 270 | /Line { NArray n 0 eq not { n 1 eq { 0 0 /n 2 def } if ArrowA /n n 2 sub |
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| 271 | def n { Lineto } repeat CP 4 2 roll ArrowB L pop pop } if } def |
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| 272 | /Arcto { /a [ 6 -2 roll ] cvx def a r /arcto load stopped { 5 } { 4 } |
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| 273 | ifelse { pop } repeat a } def |
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| 274 | /CheckClosed { dup n 2 mul 1 sub index eq 2 index n 2 mul 1 add index eq |
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| 275 | and { pop pop /n n 1 sub def } if } def |
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| 276 | /Polygon { NArray n 2 eq { 0 0 /n 3 def } if n 3 lt { n { pop pop } |
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| 277 | repeat } { n 3 gt { CheckClosed } if n 2 mul -2 roll /y0 ED /x0 ED /y1 |
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| 278 | ED /x1 ED x1 y1 /x1 x0 x1 add 2 div def /y1 y0 y1 add 2 div def x1 y1 |
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| 279 | moveto /n n 2 sub def n { Lineto } repeat x1 y1 x0 y0 6 4 roll Lineto |
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| 280 | Lineto pop pop closepath } ifelse } def |
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| 281 | /Diamond { /mtrx CM def T rotate /h ED /w ED dup 0 eq { pop } { CLW mul |
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| 282 | neg /d ED /a w h Atan def /h d a sin Div h add def /w d a cos Div w add |
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| 283 | def } ifelse mark w 2 div h 2 div w 0 0 h neg w neg 0 0 h w 2 div h 2 |
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| 284 | div /ArrowA { moveto } def /ArrowB { } def false Line closepath mtrx |
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| 285 | setmatrix } def |
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| 286 | % DG modification begin - Jan. 15, 1997 |
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| 287 | %/Triangle { /mtrx CM def translate rotate /h ED 2 div /w ED dup 0 eq { |
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| 288 | %pop } { CLW mul /d ED /h h d w h Atan sin Div sub def /w w d h w Atan 2 |
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| 289 | %div dup cos exch sin Div mul sub def } ifelse mark 0 d w neg d 0 h w d 0 |
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| 290 | %d /ArrowA { moveto } def /ArrowB { } def false Line closepath mtrx |
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| 291 | %setmatrix } def |
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| 292 | /Triangle { /mtrx CM def translate rotate /h ED 2 div /w ED dup |
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| 293 | CLW mul /d ED /h h d w h Atan sin Div sub def /w w d h w Atan 2 |
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| 294 | div dup cos exch sin Div mul sub def mark 0 d w neg d 0 h w d 0 |
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| 295 | d /ArrowA { moveto } def /ArrowB { } def false Line closepath mtrx |
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| 296 | % DG/SR modification begin - Jun. 1, 1998 - Patch 3 (from Michael Vulis) |
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| 297 | % setmatrix } def |
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| 298 | setmatrix pop } def |
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| 299 | % DG/SR modification end |
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| 300 | /CCA { /y ED /x ED 2 copy y sub /dy1 ED x sub /dx1 ED /l1 dx1 dy1 Pyth |
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| 301 | def } def |
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| 302 | /CCA { /y ED /x ED 2 copy y sub /dy1 ED x sub /dx1 ED /l1 dx1 dy1 Pyth |
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| 303 | def } def |
|---|
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| 305 | def CCA /dx dx0 l1 c exp mul dx1 l0 c exp mul add def /dy dy0 l1 c exp |
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| 306 | mul dy1 l0 c exp mul add def /m dx0 dy0 Atan dx1 dy1 Atan sub 2 div cos |
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| 307 | abs b exp a mul dx dy Pyth Div 2 div def /x2 x l0 dx mul m mul sub def |
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| 308 | /y2 y l0 dy mul m mul sub def /dx l1 dx mul m mul neg def /dy l1 dy mul |
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| 309 | m mul neg def } def |
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| 310 | /IC { /c c 1 add def c 0 lt { /c 0 def } { c 3 gt { /c 3 def } if } |
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| 312 | def |
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| 313 | /BOC { IC CC x2 y2 x1 y1 ArrowA CP 4 2 roll x y curveto } def |
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| 314 | /NC { CC x1 y1 x2 y2 x y curveto } def |
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| 315 | /EOC { x dx sub y dy sub 4 2 roll ArrowB 2 copy curveto } def |
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| 316 | /BAC { IC CC x y moveto CC x1 y1 CP ArrowA } def |
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| 317 | /NAC { x2 y2 x y curveto CC x1 y1 } def |
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| 318 | /EAC { x2 y2 x y ArrowB curveto pop pop } def |
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| 319 | /OpenCurve { NArray n 3 lt { n { pop pop } repeat } { BOC /n n 3 sub def |
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| 320 | n { NC } repeat EOC } ifelse } def |
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| 321 | /AltCurve { { false NArray n 2 mul 2 roll [ n 2 mul 3 sub 1 roll ] aload |
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| 322 | /Points ED n 2 mul -2 roll } { false NArray } ifelse n 4 lt { n { pop |
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| 323 | pop } repeat } { BAC /n n 4 sub def n { NAC } repeat EAC } ifelse } def |
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| 324 | /ClosedCurve { NArray n 3 lt { n { pop pop } repeat } { n 3 gt { |
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| 325 | CheckClosed } if 6 copy n 2 mul 6 add 6 roll IC CC x y moveto n { NC } |
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| 326 | repeat closepath pop pop } ifelse } def |
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| 327 | /SQ { /r ED r r moveto r r neg L r neg r neg L r neg r L fill } def |
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| 328 | /ST { /y ED /x ED x y moveto x neg y L 0 x L fill } def |
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| 329 | /SP { /r ED gsave 0 r moveto 4 { 72 rotate 0 r L } repeat fill grestore } |
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| 330 | def |
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| 331 | /FontDot { DS 2 mul dup matrix scale matrix concatmatrix exch matrix |
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| 332 | rotate matrix concatmatrix exch findfont exch makefont setfont } def |
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| 333 | /Rect { x1 y1 y2 add 2 div moveto x1 y2 lineto x2 y2 lineto x2 y1 lineto |
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| 335 | /OvalFrame { x1 x2 eq y1 y2 eq or { pop pop x1 y1 moveto x2 y2 L } { y1 |
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| 337 | exch { dup 3 1 roll mul exch } if 2 copy lt { pop } { exch pop } ifelse |
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| 338 | /b ED x1 y1 y2 add 2 div moveto x1 y2 x2 y2 b arcto x2 y2 x2 y1 b arcto |
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| 339 | x2 y1 x1 y1 b arcto x1 y1 x1 y2 b arcto 16 { pop } repeat closepath } |
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| 342 | /y1 ED 2 copy gt { exch } if a sub /x2 ED a add /x1 ED 1 index 0 eq { |
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| 380 | { 2 setlinecap } ifelse /i y1 def /f x1 dx mul |
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| 381 | n 0 gt { dx n div 2 div w mul sub } if def /g x2 dx mul n 0 gt { dx n |
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| 382 | div 2 div w mul add } if def y2 y1 sub h mul 1 add dup 1000 gt { pop |
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| 383 | 1000 } if { newpath i dy mul dup x0 exch moveto b 0 gt { gsave c i a cvs |
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| 603 | /TeXcolorrgb{setrgbcolor}def/TeXcolorgrey{setgray}def/TeXcolorgray{ |
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| 604 | setgray}def/TeXcolorhsb{sethsbcolor}def/currentcmykcolor where{pop}{ |
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| 605 | /currentcmykcolor{currentrgbcolor 10}B}ifelse/DC{exch dup userdict exch |
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| 606 | known{pop pop}{X}ifelse}B/GreenYellow{0.15 0 0.69 0 setcmykcolor}DC |
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| 608 | /Dandelion{0 0.29 0.84 0 setcmykcolor}DC/Apricot{0 0.32 0.52 0 |
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| 609 | setcmykcolor}DC/Peach{0 0.50 0.70 0 setcmykcolor}DC/Melon{0 0.46 0.50 0 |
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| 610 | setcmykcolor}DC/YellowOrange{0 0.42 1 0 setcmykcolor}DC/Orange{0 0.61 |
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| 611 | 0.87 0 setcmykcolor}DC/BurntOrange{0 0.51 1 0 setcmykcolor}DC |
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| 612 | /Bittersweet{0 0.75 1 0.24 setcmykcolor}DC/RedOrange{0 0.77 0.87 0 |
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| 613 | setcmykcolor}DC/Mahogany{0 0.85 0.87 0.35 setcmykcolor}DC/Maroon{0 0.87 |
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| 614 | 0.68 0.32 setcmykcolor}DC/BrickRed{0 0.89 0.94 0.28 setcmykcolor}DC/Red{ |
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| 615 | 0 1 1 0 setcmykcolor}DC/OrangeRed{0 1 0.50 0 setcmykcolor}DC/RubineRed{ |
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| 616 | 0 1 0.13 0 setcmykcolor}DC/WildStrawberry{0 0.96 0.39 0 setcmykcolor}DC |
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| 617 | /Salmon{0 0.53 0.38 0 setcmykcolor}DC/CarnationPink{0 0.63 0 0 |
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| 618 | setcmykcolor}DC/Magenta{0 1 0 0 setcmykcolor}DC/VioletRed{0 0.81 0 0 |
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| 619 | setcmykcolor}DC/Rhodamine{0 0.82 0 0 setcmykcolor}DC/Mulberry{0.34 0.90 |
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| 620 | 0 0.02 setcmykcolor}DC/RedViolet{0.07 0.90 0 0.34 setcmykcolor}DC |
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| 621 | /Fuchsia{0.47 0.91 0 0.08 setcmykcolor}DC/Lavender{0 0.48 0 0 |
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| 622 | setcmykcolor}DC/Thistle{0.12 0.59 0 0 setcmykcolor}DC/Orchid{0.32 0.64 0 |
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| 623 | 0 setcmykcolor}DC/DarkOrchid{0.40 0.80 0.20 0 setcmykcolor}DC/Purple{ |
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| 624 | 0.45 0.86 0 0 setcmykcolor}DC/Plum{0.50 1 0 0 setcmykcolor}DC/Violet{ |
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| 625 | 0.79 0.88 0 0 setcmykcolor}DC/RoyalPurple{0.75 0.90 0 0 setcmykcolor}DC |
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| 626 | /BlueViolet{0.86 0.91 0 0.04 setcmykcolor}DC/Periwinkle{0.57 0.55 0 0 |
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| 627 | setcmykcolor}DC/CadetBlue{0.62 0.57 0.23 0 setcmykcolor}DC |
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| 628 | /CornflowerBlue{0.65 0.13 0 0 setcmykcolor}DC/MidnightBlue{0.98 0.13 0 |
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| 629 | 0.43 setcmykcolor}DC/NavyBlue{0.94 0.54 0 0 setcmykcolor}DC/RoyalBlue{1 |
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| 630 | 0.50 0 0 setcmykcolor}DC/Blue{1 1 0 0 setcmykcolor}DC/Cerulean{0.94 0.11 |
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| 631 | 0 0 setcmykcolor}DC/Cyan{1 0 0 0 setcmykcolor}DC/ProcessBlue{0.96 0 0 0 |
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| 632 | setcmykcolor}DC/SkyBlue{0.62 0 0.12 0 setcmykcolor}DC/Turquoise{0.85 0 |
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| 633 | 0.20 0 setcmykcolor}DC/TealBlue{0.86 0 0.34 0.02 setcmykcolor}DC |
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| 634 | /Aquamarine{0.82 0 0.30 0 setcmykcolor}DC/BlueGreen{0.85 0 0.33 0 |
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| 635 | setcmykcolor}DC/Emerald{1 0 0.50 0 setcmykcolor}DC/JungleGreen{0.99 0 |
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| 636 | 0.52 0 setcmykcolor}DC/SeaGreen{0.69 0 0.50 0 setcmykcolor}DC/Green{1 0 |
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| 637 | 1 0 setcmykcolor}DC/ForestGreen{0.91 0 0.88 0.12 setcmykcolor}DC |
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| 638 | /PineGreen{0.92 0 0.59 0.25 setcmykcolor}DC/LimeGreen{0.50 0 1 0 |
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| 639 | setcmykcolor}DC/YellowGreen{0.44 0 0.74 0 setcmykcolor}DC/SpringGreen{ |
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| 640 | 0.26 0 0.76 0 setcmykcolor}DC/OliveGreen{0.64 0 0.95 0.40 setcmykcolor} |
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| 641 | DC/RawSienna{0 0.72 1 0.45 setcmykcolor}DC/Sepia{0 0.83 1 0.70 |
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| 642 | setcmykcolor}DC/Brown{0 0.81 1 0.60 setcmykcolor}DC/Tan{0.14 0.42 0.56 0 |
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| 643 | setcmykcolor}DC/Gray{0 0 0 0.50 setcmykcolor}DC/Black{0 0 0 1 |
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| 644 | setcmykcolor}DC/White{0 0 0 0 setcmykcolor}DC end |
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| 1867 | % Copyright (C) 1997 American Mathematical Society. All Rights Reserved. |
|---|
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|---|
| 2228 | % arrowhead |
|---|
| 2229 | n 3793 3252 m 3573 3106 l 3836 3125 l col-1 s |
|---|
| 2230 | % Polyline |
|---|
| 2231 | 7.500 slw |
|---|
| 2232 | [60] 0 sd |
|---|
| 2233 | gs clippath |
|---|
| 2234 | 5367 3779 m 5148 3631 l 5411 3651 l 5108 3546 l 5064 3674 l cp |
|---|
| 2235 | clip |
|---|
| 2236 | n 5925 3900 m 5100 3615 l gs col-1 s gr gr |
|---|
| 2237 | [] 0 sd |
|---|
| 2238 | % arrowhead |
|---|
| 2239 | 15.000 slw |
|---|
| 2240 | n 5367 3779 m 5148 3631 l 5411 3651 l col-1 s |
|---|
| 2241 | % Polyline |
|---|
| 2242 | 7.500 slw |
|---|
| 2243 | gs clippath |
|---|
| 2244 | 2376 938 m 2510 975 l 2376 1013 l 2550 1013 l 2550 938 l cp |
|---|
| 2245 | clip |
|---|
| 2246 | n 2325 975 m 2535 975 l gs col-1 s gr gr |
|---|
| 2247 | |
|---|
| 2248 | % arrowhead |
|---|
| 2249 | n 2376 938 m 2510 975 l 2376 1013 l col-1 s |
|---|
| 2250 | % Polyline |
|---|
| 2251 | [15 45] 45 sd |
|---|
| 2252 | n 2100 5400 m 8700 5400 l 11700 3225 l gs col-1 s gr [] 0 sd |
|---|
| 2253 | % Polyline |
|---|
| 2254 | n 8325 4650 m 8324 4649 l 8323 4648 l 8320 4646 l 8315 4642 l 8308 4637 l |
|---|
| 2255 | 8298 4629 l 8286 4619 l 8270 4607 l 8250 4592 l 8227 4574 l |
|---|
| 2256 | 8200 4553 l 8169 4528 l 8133 4500 l 8093 4469 l 8048 4433 l |
|---|
| 2257 | 7998 4395 l 7944 4352 l 7884 4305 l 7820 4255 l 7751 4201 l |
|---|
| 2258 | 7677 4143 l 7598 4082 l 7515 4017 l 7428 3948 l 7336 3877 l |
|---|
| 2259 | 7241 3802 l 7142 3725 l 7039 3645 l 6934 3562 l 6826 3478 l |
|---|
| 2260 | 6716 3392 l 6604 3305 l 6491 3216 l 6377 3127 l 6262 3037 l |
|---|
| 2261 | 6148 2948 l 6034 2859 l 5921 2770 l 5809 2683 l 5699 2597 l |
|---|
| 2262 | 5591 2513 l 5486 2430 l 5383 2350 l 5284 2273 l 5189 2198 l |
|---|
| 2263 | 5097 2127 l 5010 2058 l 4927 1993 l 4848 1932 l 4774 1874 l |
|---|
| 2264 | 4705 1820 l 4641 1770 l 4581 1723 l 4527 1680 l 4477 1642 l |
|---|
| 2265 | 4432 1606 l 4392 1575 l 4356 1547 l 4325 1522 l 4298 1501 l |
|---|
| 2266 | 4275 1483 l 4255 1468 l 4239 1456 l 4227 1446 l 4217 1438 l |
|---|
| 2267 | 4210 1433 l 4205 1429 l 4202 1427 l 4201 1426 l 4200 1425 l gs col-1 s gr |
|---|
| 2268 | % Polyline |
|---|
| 2269 | [60] 0 sd |
|---|
| 2270 | gs clippath |
|---|
| 2271 | 9894 3233 m 10149 3300 l 9894 3368 l 10215 3368 l 10215 3233 l cp |
|---|
| 2272 | clip |
|---|
| 2273 | n 2100 4800 m 2101 4799 l 2103 4798 l 2108 4796 l 2115 4792 l 2125 4787 l |
|---|
| 2274 | 2139 4779 l 2156 4770 l 2177 4759 l 2203 4745 l 2232 4729 l |
|---|
| 2275 | 2266 4711 l 2303 4691 l 2344 4670 l 2388 4646 l 2436 4621 l |
|---|
| 2276 | 2486 4595 l 2538 4567 l 2591 4539 l 2646 4510 l 2702 4481 l |
|---|
| 2277 | 2758 4452 l 2814 4423 l 2870 4394 l 2925 4366 l 2979 4338 l |
|---|
| 2278 | 3032 4311 l 3083 4285 l 3133 4260 l 3182 4236 l 3229 4213 l |
|---|
| 2279 | 3275 4192 l 3319 4171 l 3362 4151 l 3404 4132 l 3444 4114 l |
|---|
| 2280 | 3484 4097 l 3523 4081 l 3562 4065 l 3600 4050 l 3638 4035 l |
|---|
| 2281 | 3677 4021 l 3716 4007 l 3754 3993 l 3793 3979 l 3832 3966 l |
|---|
| 2282 | 3871 3953 l 3910 3940 l 3949 3928 l 3988 3915 l 4027 3903 l |
|---|
| 2283 | 4066 3891 l 4105 3880 l 4145 3868 l 4184 3856 l 4223 3845 l |
|---|
| 2284 | 4262 3834 l 4302 3822 l 4341 3811 l 4380 3800 l 4420 3789 l |
|---|
| 2285 | 4459 3779 l 4499 3768 l 4538 3757 l 4578 3747 l 4617 3736 l |
|---|
| 2286 | 4657 3726 l 4696 3715 l 4736 3705 l 4776 3695 l 4815 3684 l |
|---|
| 2287 | 4855 3674 l 4895 3665 l 4935 3655 l 4974 3645 l 5014 3636 l |
|---|
| 2288 | 5054 3626 l 5095 3617 l 5135 3609 l 5175 3600 l 5215 3592 l |
|---|
| 2289 | 5256 3584 l 5296 3576 l 5337 3568 l 5378 3561 l 5419 3554 l |
|---|
| 2290 | 5460 3547 l 5501 3540 l 5542 3534 l 5583 3527 l 5625 3521 l |
|---|
| 2291 | 5666 3515 l 5708 3509 l 5749 3503 l 5791 3497 l 5833 3492 l |
|---|
| 2292 | 5875 3486 l 5916 3481 l 5958 3475 l 6000 3470 l 6042 3465 l |
|---|
| 2293 | 6084 3459 l 6125 3454 l 6167 3449 l 6209 3444 l 6251 3439 l |
|---|
| 2294 | 6292 3434 l 6334 3429 l 6375 3424 l 6417 3419 l 6458 3414 l |
|---|
| 2295 | 6499 3409 l 6540 3405 l 6581 3400 l 6622 3396 l 6663 3391 l |
|---|
| 2296 | 6704 3387 l 6744 3383 l 6785 3379 l 6825 3375 l 6867 3371 l |
|---|
| 2297 | 6910 3368 l 6952 3364 l 6994 3361 l 7035 3358 l 7077 3355 l |
|---|
| 2298 | 7119 3352 l 7160 3349 l 7201 3347 l 7242 3344 l 7283 3342 l |
|---|
| 2299 | 7323 3340 l 7364 3338 l 7404 3336 l 7445 3334 l 7485 3332 l |
|---|
| 2300 | 7525 3330 l 7565 3329 l 7605 3327 l 7646 3325 l 7686 3324 l |
|---|
| 2301 | 7726 3322 l 7767 3321 l 7807 3319 l 7848 3317 l 7889 3316 l |
|---|
| 2302 | 7930 3314 l 7971 3313 l 8013 3312 l 8055 3310 l 8097 3309 l |
|---|
| 2303 | 8139 3307 l 8182 3306 l 8225 3305 l 8268 3303 l 8312 3302 l |
|---|
| 2304 | 8356 3301 l 8400 3300 l 8440 3299 l 8481 3298 l 8523 3298 l |
|---|
| 2305 | 8566 3297 l 8610 3297 l 8655 3296 l 8702 3296 l 8751 3295 l |
|---|
| 2306 | 8801 3295 l 8854 3295 l 8908 3295 l 8964 3295 l 9022 3295 l |
|---|
| 2307 | 9082 3295 l 9143 3295 l 9206 3295 l 9269 3295 l 9334 3295 l |
|---|
| 2308 | 9399 3296 l 9464 3296 l 9529 3296 l 9593 3297 l 9655 3297 l |
|---|
| 2309 | 9716 3297 l 9775 3297 l 9831 3298 l 9884 3298 l 9933 3298 l |
|---|
| 2310 | 9979 3299 l 10020 3299 l 10057 3299 l 10089 3299 l 10116 3299 l |
|---|
| 2311 | 10139 3300 l 10158 3300 l 10173 3300 l 10184 3300 l 10200 3300 l gs col-1 s gr gr |
|---|
| 2312 | [] 0 sd |
|---|
| 2313 | % arrowhead |
|---|
| 2314 | 15.000 slw |
|---|
| 2315 | n 9894 3233 m 10149 3300 l 9894 3368 l col-1 s |
|---|
| 2316 | /Symbol ff 255.00 scf sf |
|---|
| 2317 | 5025 4500 m |
|---|
| 2318 | gs 1 -1 sc (r) col-1 sh gr |
|---|
| 2319 | /Times-Roman ff 255.00 scf sf |
|---|
| 2320 | 5175 4500 m |
|---|
| 2321 | gs 1 -1 sc (\(s\)=1/h\(s\):) col-1 sh gr |
|---|
| 2322 | 60.000 slw |
|---|
| 2323 | % Ellipse |
|---|
| 2324 | n 8362 4725 37 37 0 360 DrawEllipse gs col0 s gr |
|---|
| 2325 | |
|---|
| 2326 | /Times-Roman ff 225.00 scf sf |
|---|
| 2327 | 7500 5025 m |
|---|
| 2328 | gs 1 -1 sc (Curvature centre) col-1 sh gr |
|---|
| 2329 | /Helvetica ff 180.00 scf sf |
|---|
| 2330 | 11850 3150 m |
|---|
| 2331 | gs 1 -1 sc ( ) col0 sh gr |
|---|
| 2332 | /Times-Roman ff 225.00 scf sf |
|---|
| 2333 | 5100 4800 m |
|---|
| 2334 | gs 1 -1 sc (Bending radius) col-1 sh gr |
|---|
| 2335 | /Times-Roman ff 300.00 scf sf |
|---|
| 2336 | 5325 2175 m |
|---|
| 2337 | gs 1 -1 sc (y) col-1 sh gr |
|---|
| 2338 | /Times-Roman ff 300.00 scf sf |
|---|
| 2339 | 3300 3375 m |
|---|
| 2340 | gs 1 -1 sc (x) col-1 sh gr |
|---|
| 2341 | /Times-Roman ff 300.00 scf sf |
|---|
| 2342 | 7125 3075 m |
|---|
| 2343 | gs 1 -1 sc (s) col-1 sh gr |
|---|
| 2344 | /AvantGarde-Book ff 270.00 scf sf |
|---|
| 2345 | 9750 3075 m |
|---|
| 2346 | gs 1 -1 sc (s:) col-1 sh gr |
|---|
| 2347 | /Times-Roman ff 210.00 scf sf |
|---|
| 2348 | 5175 2625 m |
|---|
| 2349 | gs 1 -1 sc (y\(s\)) col-1 sh gr |
|---|
| 2350 | /Times-Roman ff 300.00 scf sf |
|---|
| 2351 | 6000 3825 m |
|---|
| 2352 | gs 1 -1 sc (r \(s\)) col-1 sh gr |
|---|
| 2353 | /Times-Roman ff 120.00 scf sf |
|---|
| 2354 | 6090 3900 m |
|---|
| 2355 | gs 1 -1 sc (0) col-1 sh gr |
|---|
| 2356 | /Times-Roman ff 225.00 scf sf |
|---|
| 2357 | 9975 3075 m |
|---|
| 2358 | gs 1 -1 sc (Curvilinear abscissa) col-1 sh gr |
|---|
| 2359 | /Times-Roman ff 300.00 scf sf |
|---|
| 2360 | 2700 1200 m |
|---|
| 2361 | gs 1 -1 sc (=) col-1 sh gr |
|---|
| 2362 | /Times-Roman ff 210.00 scf sf |
|---|
| 2363 | 4425 3300 m |
|---|
| 2364 | gs 1 -1 sc (x\(s\)) col-1 sh gr |
|---|
| 2365 | /Times-Roman ff 210.00 scf sf |
|---|
| 2366 | 3000 1200 m |
|---|
| 2367 | gs 1 -1 sc (x\(s\)) col-1 sh gr |
|---|
| 2368 | /Times-Roman ff 210.00 scf sf |
|---|
| 2369 | 3750 1200 m |
|---|
| 2370 | gs 1 -1 sc (y\(s\)) col-1 sh gr |
|---|
| 2371 | /Times-Roman ff 300.00 scf sf |
|---|
| 2372 | 4500 1200 m |
|---|
| 2373 | gs 1 -1 sc (r \(s\)) col-1 sh gr |
|---|
| 2374 | /Times-Roman ff 120.00 scf sf |
|---|
| 2375 | 4575 1275 m |
|---|
| 2376 | gs 1 -1 sc (0) col-1 sh gr |
|---|
| 2377 | /Times-Roman ff 300.00 scf sf |
|---|
| 2378 | 3375 1200 m |
|---|
| 2379 | gs 1 -1 sc (x+) col-1 sh gr |
|---|
| 2380 | /Times-Roman ff 300.00 scf sf |
|---|
| 2381 | 4125 1200 m |
|---|
| 2382 | gs 1 -1 sc (y+) col-1 sh gr |
|---|
| 2383 | /Times-Roman ff 300.00 scf sf |
|---|
| 2384 | 5925 2700 m |
|---|
| 2385 | gs 1 -1 sc (r ) col-1 sh gr |
|---|
| 2386 | /Times-BoldItalic ff 420.00 scf sf |
|---|
| 2387 | 1575 5175 m |
|---|
| 2388 | gs 1 -1 sc (C) col-1 sh gr |
|---|
| 2389 | /Times-Roman ff 300.00 scf sf |
|---|
| 2390 | 2400 1200 m |
|---|
| 2391 | gs 1 -1 sc (r) col-1 sh gr |
|---|
| 2392 | /Times-Roman ff 225.00 scf sf |
|---|
| 2393 | 1875 5175 m |
|---|
| 2394 | gs 1 -1 sc (: Reference curve) col-1 sh gr |
|---|
| 2395 | /Helvetica ff 180.00 scf sf |
|---|
| 2396 | 3225 825 m |
|---|
| 2397 | gs 1 -1 sc ( ) col0 sh gr |
|---|
| 2398 | /Times-Roman ff 210.00 scf sf |
|---|
| 2399 | 7275 5700 m |
|---|
| 2400 | gs 1 -1 sc ( ) col0 sh gr |
|---|
| 2401 | /Helvetica ff 180.00 scf sf |
|---|
| 2402 | 1350 5025 m |
|---|
| 2403 | gs 1 -1 sc ( ) col0 sh gr |
|---|
| 2404 | $F2psEnd |
|---|
| 2405 | rs |
|---|
| 2406 | |
|---|
| 2407 | %%EndDocument |
|---|
| 2408 | @endspecial 336 x Fp(\017)34 b Fo(Refer)-5 b(ential)36 |
|---|
| 2409 | b(for)e(Ring2)p Fn(:)43 b(right-hand)34 b(referential)i |
|---|
| 2410 | Fm(\()30 b Fl(~)-103 b(x)3189 3264 y Fj(2)3261 3244 y |
|---|
| 2411 | Fl(;)49 b(~)-98 b(y)3398 3264 y Fj(2)3470 3244 y Fl(;)46 |
|---|
| 2412 | b(~)-95 b(s)3603 3264 y Fj(2)3674 3244 y Fm(\))p Fn(,)35 |
|---|
| 2413 | b(with)65 b Fl(~)-102 b(x)4162 3264 y Fj(2)4274 3244 |
|---|
| 2414 | y Fp(\021)41 b(\000)n Fl(~)-71 b(x)34 b Fn(pointing)487 |
|---|
| 2415 | 3433 y Fk(inward)p Fn(,)59 b Fl(~)-98 b(y)1048 3452 y |
|---|
| 2416 | Fj(2)1161 3433 y Fp(\021)40 b Fl(~)-72 b(y)5 b Fn(,)57 |
|---|
| 2417 | b Fl(~)-95 b(s)1530 3452 y Fj(2)1642 3433 y Fp(\021)40 |
|---|
| 2418 | b(\000)-5 b Fl(~)-68 b(s)p Fn(,)35 b(and)f(the)h(curv)m(ature)f |
|---|
| 2419 | Fl(h)3118 3452 y Fj(2)3231 3433 y Fp(\021)40 b(\000)p |
|---|
| 2420 | Fl(h)35 b Fn(ne)n(g)o(ati)m(v)n(e)g(since)f(beam2)h(is)487 |
|---|
| 2421 | 3622 y(de\003ected)f(on)g(the)h Fk(left)g Fn(in)g(the)f(plane)h |
|---|
| 2422 | (oriented)g(by)f Fl(~)-73 b(y)5 b Fn(.)5329 3652 y |
|---|
| 2423 | 0 setgray |
|---|
| 2424 | 5329 |
|---|
| 2425 | 3652 a -120 4097 a Fq(S.)30 b(F)n(artoukh)5178 b(page)29 |
|---|
| 2426 | b(1)p eop |
|---|
| 2427 | %%Page: 2 2 |
|---|
| 2428 | 2 1 bop -120 -281 a Fq(Maps)30 b(for)h(Ring)f(2)h(v)n(ersus)f(Map)g |
|---|
| 2429 | (for)h(Ring)f(1)3383 b(March)30 b(26,)h(2001)487 3652 |
|---|
| 2430 | y @beginspecial @setspecial |
|---|
| 2431 | tx@Dict begin STP newpath 1.92859 SLW 0. setgray 14.22636 false 12.38211 |
|---|
| 2432 | neg 12.38211 neg 293.60965 218.15836 .5 Frame gsave 1.92859 SLW 0. |
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| 2433 | setgray 0 setlinecap stroke grestore end |
|---|
| 2434 | |
|---|
| 2435 | @endspecial Black Black |
|---|
| 2436 | 919 227 a Fi(Ph)m(ysical)44 b(maps)f(f)l(or)h(Beam2)g(\(f)l(or)g |
|---|
| 2437 | (anti-clockwise)g(tracking\))487 477 y Fp(\017)34 b Fn(In)g(the)h |
|---|
| 2438 | Fk(right-hand)e Fn(referential)i Fm(\()30 b Fl(~)-103 |
|---|
| 2439 | b(x)2355 496 y Fj(2)2427 477 y Fl(;)49 b(~)-98 b(y)2564 |
|---|
| 2440 | 496 y Fj(2)2637 477 y Fl(;)46 b(~)-95 b(s)2770 496 y |
|---|
| 2441 | Fj(2)2841 477 y Fm(\))p Fn(,)35 b(the)g(Hamiltonian)h(for)e(beam2)g |
|---|
| 2442 | (writes:)685 777 y Fl(H)h Fm(\()p Fl(x;)25 b(p)1119 794 |
|---|
| 2443 | y Fh(x)1199 777 y Fl(;)f(y)5 b(;)25 b(p)1481 794 y Fh(y)1558 |
|---|
| 2444 | 777 y Fl(;)f(z)6 b(;)24 b(\016)5 b Fm(\))40 b(=)h Fp(\000)p |
|---|
| 2445 | Fm(\(1)32 b(+)h Fl(h)2591 796 y Fj(2)2687 777 y Fl(x)p |
|---|
| 2446 | Fm(\))p Fp(\002)734 919 y Fg(2)734 1070 y(6)734 1121 |
|---|
| 2447 | y(6)734 1177 y(4)800 904 y(v)800 951 y(u)800 1003 y(u)800 |
|---|
| 2448 | 1054 y(u)800 1106 y(u)800 1158 y(t)p 902 904 4094 5 v |
|---|
| 2449 | -188 x(0)902 1125 y(@)1047 1063 y Ff(1)p 1009 1123 136 |
|---|
| 2450 | 5 v 1009 1231 a Fe(\014)1077 1257 y Ff(0)1172 1143 y(+)7 |
|---|
| 2451 | b Fe(\016)j Fd(\000)1476 1063 y Fe(q)s(V)1631 1032 y |
|---|
| 2452 | Ff(\(2\))1791 1063 y(\()p Fe(x;)22 b(y)s Ff(\))p 1476 |
|---|
| 2453 | 1123 604 5 v 1684 1231 a Fe(p)1748 1257 y Ff(0)1815 1231 |
|---|
| 2454 | y Fe(c)2100 970 y Fg(1)2100 1125 y(A)2144 1009 y Ff(2)2197 |
|---|
| 2455 | 1143 y Fd(\000)2427 1063 y Ff(1)p 2318 1123 278 5 v 2318 |
|---|
| 2456 | 1231 a Fe(\014)2390 1201 y Ff(2)2386 1274 y(0)2458 1231 |
|---|
| 2457 | y Fe(\015)2528 1201 y Ff(2)2522 1274 y(0)2623 1143 y |
|---|
| 2458 | Fd(\000)2723 945 y Fg(0)2723 1095 y(B)2723 1151 y(@)2809 |
|---|
| 2459 | 1143 y Fe(p)2873 1160 y(x)2957 1143 y Fd(\000)3078 1063 |
|---|
| 2460 | y Fe(q)s(A)3227 1012 y Ff(\(2\))3227 1087 y Fe(x)3387 |
|---|
| 2461 | 1063 y Ff(\()p Fe(x;)g(y)s Ff(\))p 3078 1123 598 5 v |
|---|
| 2462 | 3283 1231 a Fe(p)3347 1257 y Ff(0)3414 1231 y Fe(c)3696 |
|---|
| 2463 | 945 y Fg(1)3696 1095 y(C)3696 1151 y(A)3740 983 y Ff(2)3793 |
|---|
| 2464 | 1143 y Fd(\000)3893 945 y Fg(0)3893 1095 y(B)3893 1151 |
|---|
| 2465 | y(@)3979 1143 y Fe(p)4043 1160 y(y)4125 1143 y Fd(\000)4267 |
|---|
| 2466 | 1063 y Fe(q)s(A)4416 1012 y Ff(\(2\))4416 1087 y Fe(y)4576 |
|---|
| 2467 | 1063 y Ff(\()p Fe(x;)g(y)s Ff(\))p 4267 1123 V 4472 1231 |
|---|
| 2468 | a Fe(p)4536 1257 y Ff(0)4603 1231 y Fe(c)4885 945 y Fg(1)4885 |
|---|
| 2469 | 1095 y(C)4885 1151 y(A)4929 983 y Ff(2)5017 1143 y Fm(+)848 |
|---|
| 2470 | 1500 y Fe(q)s(A)997 1448 y Ff(\(2\))997 1524 y Fe(s)1158 |
|---|
| 2471 | 1500 y Ff(\()p Fe(x;)f(y)s Ff(\))p 848 1560 V 1054 1667 |
|---|
| 2472 | a Fe(p)1118 1693 y Ff(0)1185 1667 y Fe(c)1467 1381 y |
|---|
| 2473 | Fg(3)1467 1532 y(7)1467 1588 y(5)1540 1579 y Ff(+)1694 |
|---|
| 2474 | 1500 y Fe(\016)p 1656 1560 136 5 v 1656 1667 a(\014)1724 |
|---|
| 2475 | 1693 y Ff(0)5168 1855 y Fn(\(1\))487 2186 y(with)35 b |
|---|
| 2476 | Fm(\()p Fl(V)941 2138 y Fj(\(2\))1087 2186 y Fl(;)1180 |
|---|
| 2477 | 2151 y(~)1153 2186 y(A)1263 2138 y Fj(\(2\))1433 2186 |
|---|
| 2478 | y Fm(\))g Fn(the)f(electromagnetic)j(potential)e(gi)m(v)n(en)f(in)h |
|---|
| 2479 | (the)g(referential)g Fm(\()30 b Fl(~)-103 b(x)4577 2205 |
|---|
| 2480 | y Fj(2)4649 2186 y Fl(;)49 b(~)-98 b(y)4786 2205 y Fj(2)4858 |
|---|
| 2481 | 2186 y Fl(;)47 b(~)-96 b(s)4991 2205 y Fj(2)5063 2186 |
|---|
| 2482 | y Fm(\))p Fn(.)487 2374 y Fk(By)33 b(con)-6 b(v)o(ention)p |
|---|
| 2483 | Fn(,)33 b(the)g(electromagnetic)i(\002eld)f(\(main)f(\002eld)g(and)h |
|---|
| 2484 | (errors\))e(is)h(al)o(w)o(ays)g(de\002ned)g(in)h(the)487 |
|---|
| 2485 | 2561 y(referential)h Fm(\()n Fl(~)-71 b(x;)24 b(~)-73 |
|---|
| 2486 | b(y)6 b(;)19 b(~)-68 b(s)o Fm(\))35 b Fn(of)f(Ring1,)h(so)f(that)1813 |
|---|
| 2487 | 2708 y Fc(8)1813 2832 y(>)1813 2873 y(>)1813 2914 y(>)1813 |
|---|
| 2488 | 2956 y(>)1813 2997 y(>)1813 3038 y(<)1813 3286 y(>)1813 |
|---|
| 2489 | 3328 y(>)1813 3369 y(>)1813 3410 y(>)1813 3452 y(>)1813 |
|---|
| 2490 | 3493 y(:)2029 2861 y Fl(V)2147 2813 y Fj(\(2\))2318 2861 |
|---|
| 2491 | y Fm(\()p Fl(x;)24 b(y)5 b Fm(\))173 b(=)358 b Fl(V)33 |
|---|
| 2492 | b Fm(\()p Fp(\000)p Fl(x;)24 b(y)5 b Fm(\))2033 3093 |
|---|
| 2493 | y Fl(A)2143 3019 y Fj(\(2\))2143 3115 y Fh(x)2314 3093 |
|---|
| 2494 | y Fm(\()p Fl(x;)24 b(y)5 b Fm(\))177 b(=)172 b Fp(\000)p |
|---|
| 2495 | Fl(A)3339 3110 y Fh(x)3419 3093 y Fm(\()p Fp(\000)p Fl(x;)24 |
|---|
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| 2756 | n 4188 7320 m 3708 7200 l 4188 7080 l col0 s |
|---|
| 2757 | % Polyline |
|---|
| 2758 | 7.500 slw |
|---|
| 2759 | [60] 0 sd |
|---|
| 2760 | n 2700 4995 m 12195 1800 l gs col0 s gr [] 0 sd |
|---|
| 2761 | % Polyline |
|---|
| 2762 | gs clippath |
|---|
| 2763 | 10111 514 m 10234 503 l 10131 571 l 10284 519 l 10264 462 l cp |
|---|
| 2764 | 3569 2816 m 3445 2826 l 3549 2759 l 3396 2811 l 3416 2868 l cp |
|---|
| 2765 | clip |
|---|
| 2766 | n 3420 2835 m 10260 495 l gs col0 s gr gr |
|---|
| 2767 | |
|---|
| 2768 | % arrowhead |
|---|
| 2769 | n 3569 2816 m 3445 2826 l 3549 2759 l col0 s |
|---|
| 2770 | % arrowhead |
|---|
| 2771 | n 10111 514 m 10234 503 l 10131 571 l col0 s |
|---|
| 2772 | % Polyline |
|---|
| 2773 | gs clippath |
|---|
| 2774 | 10830 4398 m 10800 4518 l 10770 4398 l 10770 4560 l 10830 4560 l cp |
|---|
| 2775 | 10770 2487 m 10800 2367 l 10830 2487 l 10830 2325 l 10770 2325 l cp |
|---|
| 2776 | clip |
|---|
| 2777 | n 10800 2340 m 10800 4545 l gs col0 s gr gr |
|---|
| 2778 | |
|---|
| 2779 | % arrowhead |
|---|
| 2780 | n 10770 2487 m 10800 2367 l 10830 2487 l col0 s |
|---|
| 2781 | % arrowhead |
|---|
| 2782 | n 10830 4398 m 10800 4518 l 10770 4398 l col0 s |
|---|
| 2783 | % Arc |
|---|
| 2784 | 15.000 slw |
|---|
| 2785 | gs clippath |
|---|
| 2786 | 6934 3972 m 6791 3770 l 7012 3880 l 6766 3670 l 6688 3761 l cp |
|---|
| 2787 | clip |
|---|
| 2788 | n 6255.0 4545.0 949.3 -5.4 -58.6 arcn |
|---|
| 2789 | gs col0 s gr |
|---|
| 2790 | gr |
|---|
| 2791 | |
|---|
| 2792 | % arrowhead |
|---|
| 2793 | n 6934 3972 m 6791 3770 l 7012 3880 l col0 s |
|---|
| 2794 | % Polyline |
|---|
| 2795 | 60.000 slw |
|---|
| 2796 | gs clippath |
|---|
| 2797 | 3900 4290 m 4050 3690 l 4200 4290 l 4200 3480 l 3900 3480 l cp |
|---|
| 2798 | clip |
|---|
| 2799 | n 4050 4545 m 4050 3555 l gs col0 s gr gr |
|---|
| 2800 | |
|---|
| 2801 | % arrowhead |
|---|
| 2802 | n 3900 4290 m 4050 3690 l 4200 4290 l col0 s |
|---|
| 2803 | /Symbol ff 450.00 scf sf |
|---|
| 2804 | 11970 4050 m |
|---|
| 2805 | gs 1 -1 sc (q) col0 sh gr |
|---|
| 2806 | % Polyline |
|---|
| 2807 | gs clippath |
|---|
| 2808 | 4260 4395 m 4860 4545 l 4260 4695 l 5070 4695 l 5070 4395 l cp |
|---|
| 2809 | clip |
|---|
| 2810 | n 4050 4545 m 4995 4545 l gs col0 s gr gr |
|---|
| 2811 | |
|---|
| 2812 | % arrowhead |
|---|
| 2813 | n 4260 4395 m 4860 4545 l 4260 4695 l col0 s |
|---|
| 2814 | /Times-Roman ff 450.00 scf sf |
|---|
| 2815 | 1800 6345 m |
|---|
| 2816 | gs 1 -1 sc (Beam1) col0 sh gr |
|---|
| 2817 | /Times-Roman ff 450.00 scf sf |
|---|
| 2818 | 8595 7245 m |
|---|
| 2819 | gs 1 -1 sc (Beam2) col0 sh gr |
|---|
| 2820 | /Times-Bold ff 450.00 scf sf |
|---|
| 2821 | 4005 3510 m |
|---|
| 2822 | gs 1 -1 sc (x) col0 sh gr |
|---|
| 2823 | /Times-Bold ff 450.00 scf sf |
|---|
| 2824 | 5040 4815 m |
|---|
| 2825 | gs 1 -1 sc (s) col0 sh gr |
|---|
| 2826 | /Times-Bold ff 450.00 scf sf |
|---|
| 2827 | 3780 4995 m |
|---|
| 2828 | gs 1 -1 sc (y) col0 sh gr |
|---|
| 2829 | /Helvetica ff 450.00 scf sf |
|---|
| 2830 | 6300 1575 m |
|---|
| 2831 | gs 1 -1 sc (L) col0 sh gr |
|---|
| 2832 | /Symbol ff 450.00 scf sf |
|---|
| 2833 | 7155 4050 m |
|---|
| 2834 | gs 1 -1 sc (q) col0 sh gr |
|---|
| 2835 | /Helvetica ff 450.00 scf sf |
|---|
| 2836 | 10890 4050 m |
|---|
| 2837 | gs 1 -1 sc (L cos) col0 sh gr |
|---|
| 2838 | $F2psEnd |
|---|
| 2839 | rs |
|---|
| 2840 | |
|---|
| 2841 | %%EndDocument |
|---|
| 2842 | @endspecial 487 3336 a Fp(\000)-25 b(!)35 b Fn(More)g(generally)-9 |
|---|
| 2843 | b(,)35 b(the)g Fb(MAD8)e Fn(\223misalignment)j(maps\224)e |
|---|
| 2844 | Fp(M)3636 3358 y Fj(in)3785 3336 y Fn(and)h Fp(M)4193 |
|---|
| 2845 | 3353 y Fj(out)4419 3336 y Fn(for)f(beam1)487 3524 y(clockwise)h |
|---|
| 2846 | (becomes)f(the)h(re\003ected)g(maps)2696 3489 y Fm(\026)2625 |
|---|
| 2847 | 3524 y Fp(M)2799 3541 y Fj(out)3025 3524 y Fn(and)3329 |
|---|
| 2848 | 3489 y Fm(\026)3258 3524 y Fp(M)3432 3546 y Fj(in)3547 |
|---|
| 2849 | 3524 y Fn(,)g(respecti)m(v)n(ely)g(for)f(beam2)487 3711 |
|---|
| 2850 | y(anti-clockwise.)5329 3652 y |
|---|
| 2851 | 0 setgray |
|---|
| 2852 | 5329 3652 a -120 4097 a |
|---|
| 2853 | Fq(S.)c(F)n(artoukh)5178 b(page)29 b(4)p eop |
|---|
| 2854 | %%Page: 5 5 |
|---|
| 2855 | 5 4 bop -120 -281 a Fq(Maps)30 b(for)h(Ring)f(2)h(v)n(ersus)f(Map)g |
|---|
| 2856 | (for)h(Ring)f(1)3383 b(March)30 b(26,)h(2001)487 3652 |
|---|
| 2857 | y @beginspecial @setspecial |
|---|
| 2858 | tx@Dict begin STP newpath 1.92859 SLW 0. setgray 14.22636 false 12.38211 |
|---|
| 2859 | neg 12.38211 neg 293.60965 218.15836 .5 Frame gsave 1.92859 SLW 0. |
|---|
| 2860 | setgray 0 setlinecap stroke grestore end |
|---|
| 2861 | |
|---|
| 2862 | @endspecial Black Black |
|---|
| 2863 | 924 227 a Fi(Un-ph)m(ysical)44 b(maps)f(f)l(or)g(Beam2)h(\(f)l(or)g |
|---|
| 2864 | (clockwise)h(matching\))487 483 y Fn(The)34 b(idea)h(is)f(to)h(deal)g |
|---|
| 2865 | (with)g(the)g(matching)g(of)f(Ring2)h(without)g(re\003ecting)g(the)g |
|---|
| 2866 | (sequence)f(lhcb2.)487 671 y(F)n(or)f(this)i(purpose,)f(the)h |
|---|
| 2867 | (so-called)f Fk(r)n(e\003ected)g(maps)f Fn(must)i(be)f(used,)g |
|---|
| 2868 | (consisting)h(in)487 860 y Fk(1.)43 b Fn(the)34 b(in)-6 |
|---|
| 2869 | b(v)n(ersion)35 b(of)f(the)h(transfer)f(map.)487 1049 |
|---|
| 2870 | y Fk(2.)43 b Fn(the)34 b(change)h(of)f(sign)g(of)g(the)h(v)m(ariable)g |
|---|
| 2871 | Fl(p)2574 1066 y Fh(x)2654 1049 y Fn(,)g Fl(p)2797 1066 |
|---|
| 2872 | y Fh(y)2909 1049 y Fn(and)f Fl(t)p Fn(.)487 1238 y Fk(In)e(the)h(most)f |
|---|
| 2873 | (general)h(case)p Fn(,)h(the)2198 1203 y Fm(\026)2167 |
|---|
| 2874 | 1238 y Fl(R)g Fn(and)2571 1203 y Fm(\026)2543 1238 y |
|---|
| 2875 | Fl(T)54 b Fn(matrices)34 b(of)e(such)h(a)h(map)f(can)g(be)h(deduced)f |
|---|
| 2876 | (from)g(the)487 1427 y(ph)o(ysical)h(map)h(\(transfer)f(map\))h(by:) |
|---|
| 2877 | 1419 1862 y Fm(\026)1388 1897 y Fl(R)1498 1918 y Fh(ij)1653 |
|---|
| 2878 | 1897 y Fm(=)40 b Fl(s)1875 1918 y Fh(i)1929 1897 y Fl(s)1997 |
|---|
| 2879 | 1918 y Fh(j)2089 1786 y Fc(\000)2156 1897 y Fl(R)2267 |
|---|
| 2880 | 1839 y Fa(\000)p Fj(1)2438 1786 y Fc(\001)2505 1953 y |
|---|
| 2881 | Fh(ij)2692 1897 y Fn(and)2968 1862 y Fm(\026)2940 1897 |
|---|
| 2882 | y Fl(T)3025 1921 y Fh(ij)6 b(k)3250 1897 y Fm(=)40 b |
|---|
| 2883 | Fl(s)3472 1918 y Fh(i)3526 1897 y Fl(s)3594 1918 y Fh(j)3661 |
|---|
| 2884 | 1897 y Fl(s)3729 1921 y Fh(k)3833 1786 y Fc(\000)3900 |
|---|
| 2885 | 1897 y Fl(T)4005 1839 y Fa(\000)p Fj(1)4176 1786 y Fc(\001)4244 |
|---|
| 2886 | 1953 y Fh(ij)6 b(k)1127 2547 y Fn(with)1397 2182 y Fc(8)1397 |
|---|
| 2887 | 2306 y(>)1397 2348 y(>)1397 2389 y(<)1397 2637 y(>)1397 |
|---|
| 2888 | 2678 y(>)1397 2720 y(:)1613 2338 y Fl(s)1681 2357 y Fj(1)1793 |
|---|
| 2889 | 2338 y Fm(=)41 b Fl(s)2016 2357 y Fj(3)2128 2338 y Fm(=)f |
|---|
| 2890 | Fl(s)2350 2357 y Fj(6)2462 2338 y Fm(=)h(1)24 b Fl(;)49 |
|---|
| 2891 | b(s)2872 2357 y Fj(2)2984 2338 y Fm(=)40 b Fl(s)3206 |
|---|
| 2892 | 2357 y Fj(4)3318 2338 y Fm(=)h Fl(s)3541 2357 y Fj(5)3653 |
|---|
| 2893 | 2338 y Fm(=)f Fp(\000)p Fm(1)1613 2552 y Fc(\000)1680 |
|---|
| 2894 | 2663 y Fl(T)1785 2606 y Fa(\000)p Fj(1)1957 2552 y Fc(\001)2024 |
|---|
| 2895 | 2720 y Fh(ij)6 b(k)2248 2583 y Fj(def)2279 2663 y Fm(=)70 |
|---|
| 2896 | b Fp(\000)2676 2491 y Fj(6)2602 2532 y Fc(X)2607 2833 |
|---|
| 2897 | y Fh(l)p Fj(=1)2942 2491 y(6)2868 2532 y Fc(X)2837 2828 |
|---|
| 2898 | y Fh(m)p Fj(=1)3223 2491 y(6)3149 2532 y Fc(X)3135 2828 |
|---|
| 2899 | y Fh(n)p Fj(=1)3398 2663 y Fl(R)3509 2601 y Fa(\000)p |
|---|
| 2900 | Fj(1)3508 2712 y Fh(il)3681 2663 y Fl(T)3766 2687 y Fh(lmn)4008 |
|---|
| 2901 | 2663 y Fl(R)4119 2601 y Fa(\000)p Fj(1)4118 2709 y Fh(mj)4299 |
|---|
| 2902 | 2663 y Fl(R)4410 2601 y Fa(\000)p Fj(1)4409 2712 y Fh(nk)487 |
|---|
| 2903 | 3056 y Fk(In)32 b(the)h(case)g(of)g(\(aligned)g(or)h(misaligned\))e |
|---|
| 2904 | (multipoles)h(or)g(electr)n(ostatic)g(separator)p Fn(,)g(it)h(can)g(be) |
|---|
| 2905 | 487 3244 y(sho)m(wn)f(that)i(maps)g(and)f(re\003ected)h(maps)f(are)g |
|---|
| 2906 | (the)h(same.)487 3433 y Fk(F)m(or)f(the)g(solenoid)g(case)p |
|---|
| 2907 | Fn(,)g(it)h(can)g(be)f(sho)m(wn)g(that)h(the)g(re\003ected)g(map)f |
|---|
| 2908 | (deduces)g(from)h(the)f(transfer)487 3622 y(map)g(by)g(changing)h(the)g |
|---|
| 2909 | (sign)f(of)g(the)h(actual)g Fl(B)7 b Fn(-\002eld.)5329 |
|---|
| 2910 | 3652 y |
|---|
| 2911 | 0 setgray |
|---|
| 2912 | 5329 3652 a -120 4097 a Fq(S.)30 b(F)n(artoukh)5178 |
|---|
| 2913 | b(page)29 b(5)p eop |
|---|
| 2914 | %%Trailer |
|---|
| 2915 | end |
|---|
| 2916 | userdict /end-hook known{end-hook}if |
|---|
| 2917 | %%EOF |
|---|
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