2000-11-29 2005-04-20 XeX IMS:20001129001; NDC:021.4; keywords:, ; 1. 1.1 1.2 1.3 1.4 1.5 1.6 2. HTML 2.1 p: 2.2 br: 2.3 cite: 2.4 blockquote: 2.5 em: 2.6 strong: 2.7 sup: 2.8 sub: 2.9 ul: 2.10 ol: 2.11 2.12 img: 2.13 pre: 2.14 code: 2.15 a: 2.16 u: 3. XeX 3.1 en: 3.2 eu: 3.3 rw: 1
3.4 con: 3.5 ws: 3.6 newpage: (TeX ) 3.7 clearpage: (TeX ) 4. 4.1 4.2 4.3 :QMath 1 1.1 XeX XML1.0 XML DTD (Document Type Definition, ) DTD XeX jarticle.dtd metadata.dtd 1.2 XHTML1.0 DTD xhtml1-traditional.dtd 1. 2. 3. a b HTML c XeX 4. a b 2
1.3 XeX 1.4 JIS 1.5 XeX HTML HTML TeX PDF 1.6 HTML CSS2 TeX jarticle ascmac theorem enumerate supertabular amsmath amssymb graphicx myhyper(dviout for Windows ) 2 HTML 2.1 p: HTML TeX =Ymedskip HTML p <p> </p><p> < > </ >< > </ > 3
2.2 br: <br /> 2.3 cite: <cite>iso/iec 10646</cite> ISO/IEC 10646 2.4 blockquote: <blockquote><p> ( ) </p></blockquote> ( ) 2.5 em: <em> </em> 2.6 strong: <strong> </strong> 2.7 sup: x<sup>n</sup>+y<sup>n</sup>=z<sup>n</sup> x n +y n =z n 4
2.8 sub: (x<sub>0</sub>,,x<sub>n-1</sub>) (x 0,,x n-1 ) 2.9 ul: <ul> <li> </li> <li> </li> <li> </li> </ul> 2.10 ol: type (1:, a:, A:, i:, I: ) <ol> <li> </li> <li> </li> <li> </li> </ol> 1. 2. 3. 2.11 HTML HTML TeX caption table + <table border="1" align="center"> <caption> </caption> <thead> <tr><th> </th><th> </th><th> </th></tr> </thead> <tbody> <tr><td> </td><td> </td><td> </td></tr> </tbody> </table> 5
1 2.12 img: TeX src, alt, width, height HTML PNG TeX/PDF EPS HTML TeX/PDF XeX alt figure + <img src="img/test" alt=" " width="379" height="190" /> 1 2.13 pre: <pre> >path PATH=C:\WINDOWS;C:\WINDOWS\COMMAND ></pre> >path PATH=C:\WINDOWS;C:\WINDOWS\COMMAND > 6
2.14 code: <code> function sample(x, y) { z = x + y; return z; } </code> function sample(x, y) { z = x + y; return z; } 2.15 a: href name <a href="0.html">0.html</a> 0.html 2.16 u: <u>underline</u> underline 3 XeX 3.1 en: HTML Times Roman TeX English,<en>English</en> English,English 3.2 eu: TeX HTML 2 ISO 8859-1(Latin 1) TeX HTML UCS2 =YS #x00a7 =Y {} #x00a8 =Y {} #x00b4 7
=YP #x00b6 À =Y {A} À #x00c0 Á =Y {A} Á #x00c1 Â =Yˆ{A} Â #x00c2 Ã =Y {A} Ã #x00c3 Ä =Y {A} Ä #x00c4 Ǎ =Yv{A} Å #x00c5 Æ =YAE Æ #x00c6 Ç =Yc{C} Ç #x00c7 È =Y {E} È #x00c8 É =Y {E} É #x00c9 Ê =Yˆ{E} Ê #x00ca Ë =Y {E} Ë #x00cb Ì =Y {I} Ì #x00cc Í =Y {I} Í #x00cd Î =Yˆ{I} Î #x00ce Ï =Y {I} Ï #x00cf Ñ =Y {N} Ñ #x00d1 Ò =Y {O} Ò #x00d2 Ó =Y {O} Ó #x00d3 Ô =Yˆ{O} Ô #x00d4 Õ =Y {O} Õ #x00d5 Ö =Y {O} Ö #x00d6 Ø =YO Ø #x00d8 Ù =Y {U} Ù #x00d9 Ú =Y {U} Ú #x00da Û =Yˆ{U} Û #x00db Ü =Y {U} Ü #x00dc Ý =Y {Y} Ý #x00dd ß =Yss ß #x00df à =Y {a} à #x00e0 á =Y {a} á #x00e1 â =Yˆ{a} â #x00e2 ã =Y {a} ã #x00e3 ä =Y {a} ä #x00e4 å =Yaa å #x00e5 æ =Yae æ #x00e6 ç =Yc{c} ç #x00e7 8
è =Y {e} è #x00e8 é =Y {e} é #x00e9 ê =Yˆ{e} ê #x00ea ë =Y {e} ë #x00eb ì =Y {=Yi} ì #x00ec í =Y {=Yi} í #x00ed î =Yˆ{=Yi} î #x00ee ï =Y {=Yi} ï #x00ef ñ =Y {n} ñ #x00f1 ò =Y {o} ò #x00f2 ó =Y {o} ó #x00f3 ô =Yˆ{o} ô #x00f4 õ =Y {o} õ #x00f5 ö =Y {o} ö #x00f6 ø =Yo ø #x00f8 ù =Y {u} ù #x00f9 ú =Y {u} ú #x00fa û =Yˆ{u} û #x00fb ü =Y {u} ü #x00fc ý =Y {y} ý #x00fd ÿ =Y {y} ÿ #x00ff 3 TeX HTML UCS2 Œ =YOE Œ #x0152 œ =Yoe œ #x0153 Š =Yv{S} Š #x0160 š =Yv{s} š #x0161 Ÿ =Y {Y} Ÿ #x0178 <eu>le fran\c{c}aise</eu> le française 3.3 rw: HTML TeX a <rw href="0.html">0.html</rw> 0.html 9
3.4 con: HTML TeX pre <con> >path PATH=C:\WINDOWS;C:\WINDOWS\COMMAND ></con> >path PATH=C:\WINDOWS;C:\WINDOWS\COMMAND > 3.5 ws: <ws /> 3.6 newpage: (TeX ) TeX =Ynewpage 3.7 clearpage: (TeX ) TeX =Yclearpage 4 4.1 LaTeX ( ) prop + 10
< =" " ="C(G) Fourier "> <qt>k=0,,n-1</qt> <qt>e_k( ^i)= ^{ik}</qt> <qt>e_k:c(g) R</qt> <qt>\{e_k:k=0,,n-1\}</qt> <qt>c(g)</qt> <qt>f C(G)</qt> <qd> f = _{i=0}^{n-1}{(f,e_i)e_i} </qd> <qt>f</qt> Fourier </ > 4.1 (C(G) Fourier ) k = 0,, n 1 e k (ζ i ) = ζ ik e k : C(G) R {e k : k = 0,, n 1} C(G) f C(G) f = (f, e i )e i f Fourier i=0 4.2 < ="[1] "> 3. <qdarray> F^{-1} F(f)( ^r) = {n^{-1} _{t=0}^{n-1}{f(f)( ^t) ^{-tr}}} \\ {} = {n^{-1} _{t=0}^{n-1}{( _{s=0}^{n-1}{f( ^s) ^{st}}) ^{-tr}}} \\ {} = {n^{-1} _{s=0}^{n-1}{f( ^s)( _{t=0}^{n-1}{ ^{t(s-r)}})}}\\ {} = {n^{-1}f( ^r)( _{t=0}^{n-1}{ ^0)}}\\ {} = f( ^r) </qdarray> </ > ([1] ) 3. F 1 F (f)(ζ r ) = n 1 F (f)(ζ t )ζ tr t=0 = n 1 ( f(ζ s )ζ st )ζ tr t=0 s=0 s=0 = n 1 f(ζ s )( ζ t(s r) ) t=0 = n 1 f(ζ r )( ζ 0 ) = f(ζ r ) t=0 11
4.3 :QMath XeX W3C MATHML QMath 12