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| %% $OpenXM: OpenXM/doc/genkou19991125.tex,v 1.69 1999/12/24 10:08:41 tam Exp $ |
%% $OpenXM: OpenXM/doc/genkou19991125.tex,v 1.85 1999/12/25 10:00:48 tam Exp $ |
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| \title{ |
\title{ |
| 1. °ÕÌ£¤â¤Ê¤¤½¤¾þ²á¾ê¤Ê¸ì¶ç¤ÏÇÓ½ü¤·¤Þ¤·¤ç¤¦¡£\\ |
1. °ÕÌ£¤â¤Ê¤¤½¤¾þ²á¾ê¤Ê¸ì¶ç¤ÏÇÓ½ü¤·¤Þ¤·¤ç¤¦. \\ |
| 3. ¤»¤Ã¤«¤¯ fill ¤·¤Æ¤¤¤ë¤Î¤ò¤¤¤¸¤é¤Ê¤¤¤Ç¤¯¤ì¡£ |
2. ¤»¤Ã¤«¤¯ fill ¤·¤Æ¤¤¤ë¤Î¤ò¤¤¤¸¤é¤Ê¤¤¤Ç¤¯¤ì. \\ |
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3. Åļ¤¬Í·¤ó¤Ç¤Ð¤«¤ê¤Ç¤ª¤ì¤Ð¤«¤ê»Å»ö¤ò¤·¤Æ¤¤¤ë¤Î¤Ï¤É¤¦¹Í¤¨¤Æ¤âÉÔ¸øÊ¿¤À. |
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¤Ê¤ó¤Ç»Å»ö¤ò¤·¤Ê¤¤¤Î¤«, ¤¤¤¤²Ã¸º»Å»ö¤ò¤·¤í, Åļ. \\ |
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3.5 ¤½¤¦¤¤¤¦¤´ÈӤȤ«¤Ä¤Þ¤é¤Ê¤¤Ï两ã¤Ê¤¯¤Æ, commit ¤Î¾ðÊó¤ò¤ß¤ì¤ÐÅļ¤¬ |
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Ç¡²¿¤Ë»Å»ö¤ò¤·¤Æ¤¤¤Ê¤¤¤Î¤«¤è¤¯¤ï¤«¤ë¤è. \\ |
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4. ¤¤¤¤²Ã¸º, Section 8 ¤ò½ñ¤±. |
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} |
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| \author{±ü ë ¡¡ ¹Ô ±û\affil{¿À¸ÍÂç³ØÂç³Ø±¡¼«Á³²Ê³Ø¸¦µæ²Ê} |
\author{±ü ë ¡¡ ¹Ô ±û\affil{¿À¸ÍÂç³ØÂç³Ø±¡¼«Á³²Ê³Ø¸¦µæ²Ê} |
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| \section{OpenXM¤È¤Ï} |
\section{OpenXM¤È¤Ï} |
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| OpenXM ¤Ï¿ô³Ø¥×¥í¥»¥¹´Ö¤Ç¥á¥Ã¥»¡¼¥¸¤ò¸ò´¹¤¹¤ë¤¿¤á¤Îµ¬Ìó¤Ç¤¢¤ë¡£ |
OpenXM ¤Ï¿ô³Ø¥×¥í¥»¥¹´Ö¤Ç¥á¥Ã¥»¡¼¥¸¤ò¸ò´¹¤¹¤ë¤¿¤á¤Îµ¬Ìó¤Ç¤¢¤ë. |
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| ¤Ê¤ª¡¢ OpenXM ¤È¤Ï Open message eXchange protocol for Mathematics ¤Îά¤Ç¤¢¤ë¡£ |
¤Ê¤ª, OpenXM ¤È¤Ï Open message eXchange protocol for Mathematics ¤Îά¤Ç¤¢¤ë. |
| OpenXM ¤Î³«È¯¤Îȯü¤ÏÌîϤ¤È¹â»³¤Ë¤è¤ê¡¢ |
OpenXM ¤Î³«È¯¤Îȯü¤ÏÌîϤ¤È¹â»³¤Ë¤è¤ê, |
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| ¸½ºß¤Î OpenXM µ¬Ìó¤Ç¤Ï¶¦ÄÌɽ¸½·Á¼°¤Ë¤è¤ë¥á¥Ã¥»¡¼¥¸¤òÍѤ¤¤Æ¤¤¤ë¡£ |
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| ¾åµ¤Îʸ»úÎó¤òÁ÷¤ëÊýË¡¤ÎÍøÅÀ¤òÀ¸¤«¤¹¤¿¤á¡¢ |
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OpenXM µ¬Ìó¤Ç¤Ï¶¦ÄÌɽ¸½·Á¼°¤ÎÃæ¤Îʸ»úÎó¤È¤·¤Æ, |
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OpenXM µ¬Ìó¤Ç¤ÏÄÌ¿®¤ÎÊýË¡¤Ë´ö¤é¤«¤Î¼«Í³ÅÙ¤¬¤¢¤ë¤¬, |
| ¸½ºß¤Î¤È¤³¤í¤Ï TCP/IP ¤òÍѤ¤¤¿ÄÌ¿®¤·¤«¼ÂÁõ¤µ¤ì¤Æ¤¤¤Ê¤¤¡£ |
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\footnote{asir ¤Ç¤Ï MPI ¤òÍѤ¤¤¿¼ÂÁõ¤â¤¢¤ë.} |
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¤½¤³¤Ç, ¤³¤ÎÏÀʸ¤Ç¤Ï¶ñÂÎŪ¤Ê¼ÂÁõ¤Ï TCP/IP ¤òÍѤ¤¤Æ¤¤¤ë¤È²¾Äꤹ¤ë. |
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| \section{OpenXM ¤Î¥á¥Ã¥»¡¼¥¸¤Î¹½Â¤} |
\section{OpenXM ¤Î¥á¥Ã¥»¡¼¥¸¤Î¹½Â¤} |
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| Á°Àá¤Ç²¾Äꤷ¤¿¤È¤ª¤ê¡¢¤³¤ÎÏÀʸ¤Ç¤Ï TCP/IP ¤Î¾ì¹ç¤Ë¤Ä¤¤¤Æ¤Î¤ßÀâÌÀ¤ò¹Ô¤Ê¤¦¡£ |
Á°Àá¤Ç²¾Äꤷ¤¿¤È¤ª¤ê, ¤³¤ÎÏÀʸ¤Ç¤Ï TCP/IP ¤Î¾ì¹ç¤Ë¤Ä¤¤¤Æ¤Î¤ßÀâÌÀ¤ò¹Ô¤Ê¤¦. |
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OpenXM µ¬Ìó¤Çµ¬Äꤵ¤ì¤Æ¤¤¤ë¥á¥Ã¥»¡¼¥¸¤Ï¥Ð¥¤¥È¥¹¥È¥ê¡¼¥à¤È¤Ê¤Ã¤Æ¤ª¤ê, |
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#define OX_COMMAND 513 |
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| \section{OpenXM ¤Î·×»»¥â¥Ç¥ë} |
\section{OpenXM ¤Î·×»»¥â¥Ç¥ë} |
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OpenXM µ¬Ìó¤Ç¤Î·×»»¤È¤Ï¥á¥Ã¥»¡¼¥¸¤ò¸ò´¹¤¹¤ë¤³¤È¤Ç¤¢¤ë. ¤Þ¤¿, OpenXM µ¬ |
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| ¤è¤¯»È¤ï¤ì¤ë¤È»×¤ï¤ì¤ë CMO ·Á¼°¤Î¥¿¥°¤ò¤¢¤²¤Æ¤ª¤¯¡£ |
|
| \begin{verbatim} |
|
| #define CMO_INT32 2 /* (CMO ·Á¼°¤Î)32 ¥Ó¥Ã¥ÈÀ°¿ô */ |
|
| #define CMO_STRING 4 /* ʸ»úÎó */ |
|
| #define CMO_MATHCAP 5 /* mathcap(¸å½Ò) */ |
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| #define CMO_LIST 17 /* ¥ê¥¹¥È¹½Â¤ */ |
|
| #define CMO_ZZ 20 /* ¿ÇÜĹÀ°¿ô */ |
|
| \end{verbatim} |
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| ¥¿¥°°Ê¹ß¤Ï¥Ç¡¼¥¿ËÜÂΤǤ¢¤ê¡¢¥Ç¡¼¥¿ËÜÂΤι½Â¤¤Ï¥Ç¡¼¥¿¤Î¼ïÎà¤Ë¤è¤Ã¤Æ°Û¤Ê¤ë¡£ |
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| À°¿ôÃÍ $123456789$ ¤òɽ¤¹ CMO\_INT32 ¤Ï |
|
| \begin{tabular}{|c|c|} \hline |
\begin{tabular}{|c|c|} \hline |
| CMO\_INT32 & $123456789$ \\ \hline |
¥Ø¥Ã¥À & \hspace{10mm} ¥Ü¥Ç¥£ \hspace{10mm} \\ \hline |
| \end{tabular} |
\end{tabular} |
| ¤ÈÄêµÁ¤µ¤ì¤Æ¤¤¤ë¤¬¡¢¤³¤ì¤ò°Ê¸å (CMO\_INT32, 123456789) ¤È¤·¤Æɽ¤¹¡£ |
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¥Ø¥Ã¥À¤Ï4¥Ð¥¤¥È¤Ç¤¢¤ë. ¥Ü¥Ç¥£¤ÎŤµ¤Ï¤½¤ì¤¾¤ì¤Î¥Ç¡¼¥¿¤Ë¤è¤Ã¤Æ°Û¤Ê¤ë¤¬, |
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0¤Ç¤â¤è¤¤. |
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| ¤³¤³¤Ç 32 bit ¤ÎÀ°¿ô¤Îɽ¸½ÊýË¡¤Ë¤Ä¤¤¤ÆÀâÌÀ¤¹¤ëɬÍפ¬¤¢¤ë¡£ |
¥á¥Ã¥»¡¼¥¸¤ÈƱÍͤ˥إåÀ¤Ï4¥Ð¥¤¥Èñ°Ì¤Ë´ÉÍý¤µ¤ì¤ë. ¤¹¤Ê¤ï¤Á, CMO ¤Ç¤Ï¥Ø¥Ã |
| OpenXM µ¬Ìó¤Ç¤Ï¥Ð¥¤¥È¥¹¥È¥ê¡¼¥à¤Ç 32 bit ¤ÎÀ°¿ô 20 ¤ò |
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| {\tt 00 00 00 14} ¤Èɽ¤¹ÊýË¡¤È {\tt 14 00 00 00} ¤Èɽ¤¹ÊýË¡¤¬¤¢¤ë¡£ |
CMO ¤Ç¤Ï, ¥¿¥°¤Ë¤è¤Ã¤Æ¥Ü¥Ç¥£¤ÎÏÀÍýŪ¹½Â¤¤¬·èÄꤹ¤ë. ¤¹¤Ê¤ï¤Á, ¥¿¥°¤Ï¤½¤ì |
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\cite{OpenXM-1999} ¤Ë¾Ü½Ò¤µ¤ì¤Æ¤¤¤ë. ¸½ºß¤Î OpenXM µ¬Ìó¤Ç¤Ï°Ê²¼¤Î CMO ¤¬ |
| ¤Ê¤ª¡¢¹ç°Õ¤¬¤Ê¤¤¾ì¹ç¤Ë¤ÏÁ°¼Ô¤Îɽ¸½ÊýË¡ |
ÄêµÁ¤µ¤ì¤Æ¤¤¤ë. |
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| »È¤¦¤³¤È¤Ë¤Ê¤Ã¤Æ¤¤¤ë¡£ |
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| 2 ¤ÎÊä¿ôɽ¸½¤ò»È¤¦¤³¤È¤Ë¤Ê¤Ã¤Æ¤¤¤ë¡£ |
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| CMO ·Á¼°¤Î¿ÇÜĹÀ°¿ô¤Ï¡¢ Gnu MP¥é¥¤¥Ö¥é¥êÅù¤ò»²¹Í¤Ë¤·¤Æ¤ª¤ê¡¢ |
\begin{verbatim} |
| Éä¹æÉÕ¤ÀäÂÐÃÍɽ¸½¤òÍѤ¤¤Æ¤¤¤ë¡£ |
#define CMO_ERROR2 0x7f000002 |
| ¥¿¥°°Ê¹ß¤Î·Á¼°¤Ï¼¡¤Î¤è¤¦¤Ë¤Ê¤ë¡£ |
#define CMO_NULL 1 |
| |
#define CMO_INT32 2 |
| |
#define CMO_DATUM 3 |
| |
#define CMO_STRING 4 |
| |
#define CMO_MATHCAP 5 |
| |
|
| \begin{tabular}{|c|c|c|c|c|} \hline |
#define CMO_START_SIGNATURE 0x7fabcd03 |
| $f$ & $b_0$ & $b_1$ & $\cdots$ & $b_{n-1}$ \\ \hline |
#define CMO_ARRAY 16 |
| \end{tabular} |
#define CMO_LIST 17 |
| |
#define CMO_ATOM 18 |
| |
#define CMO_MONOMIAL32 19 |
| |
#define CMO_ZZ 20 |
| |
#define CMO_QQ 21 |
| |
#define CMO_ZERO 22 |
| |
#define CMO_DMS_GENERIC 24 |
| |
#define CMO_DMS_OF_N_VARIABLES 25 |
| |
#define CMO_RING_BY_NAME 26 |
| |
#define CMO_RECURSIVE_POLYNOMIAL 27 |
| |
#define CMO_LIST_R 28 |
| |
|
| ¤³¤³¤Ç¡¢ 1 ¤Ä¤ÎÏÈ¤Ï 4 ¥Ð¥¤¥È¤òɽ¤·¡¢ |
#define CMO_INT32COEFF 30 |
| $f$ ¤ÏÉä¹æÉÕ¤ 32 ¥Ó¥Ã¥ÈÀ°¿ô¤ò¡¢ |
#define CMO_DISTRIBUTED_POLYNOMIAL 31 |
| $b_0$, $b_1$, $\cdots$, $b_{n-1}$ ¤ÏÉä¹æ¤Ê¤· 32 ¥Ó¥Ã¥ÈÀ°¿ô¤òɽ¤·¤Æ¤¤¤ë¡£ |
#define CMO_POLYNOMIAL_IN_ONE_VARIABLE 33 |
| ¤µ¤é¤Ë¡¢ $|f| = n$ ¤¬À®¤êΩ¤¿¤Ê¤±¤ì¤Ð¤Ê¤é¤Ê¤¤¡£ |
#define CMO_RATIONAL 34 |
| ¤³¤Î¥ª¥Ö¥¸¥§¥¯¥È¤Ï |
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| \[ \mbox{sgn}(f) \times \{ b_0 (2^{32})^0 + b_1 (2^{32})^1 + \cdots |
|
| + b_{n-1} (2^{32})^{n-1} \} \] |
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| \[ \mbox{sgn}(f) = \left\{ \begin{array}{ll} |
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| 1 & f>0 \\ |
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| 0 & f=0 \\ |
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| -1 & f<0 \\ \end{array} \right. \] |
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| |
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| ¤³¤³¤Ç¶ñÂÎÎã¤ò¤À¤½¤¦¡£ |
#define CMO_64BIT_MACHINE_DOUBLE 40 |
| $4294967298 = 1 \times 2^{32} + 2$ ¤ò CMO ·Á¼°¤Î |
#define CMO_ARRAY_OF_64BIT_MACHINE_DOUBLE 41 |
| ¥Í¥Ã¥È¥ï¡¼¥¯¥Ð¥¤¥È¥ª¡¼¥À¡¼¡¢Â¿ÇÜĹÀ°¿ô¤Çɽ¸½¤¹¤ë¤È¡¢ |
#define CMO_128BIT_MACHINE_DOUBLE 42 |
| \begin{center} |
#define CMO_ARRAY_OF_128BIT_MACHINE_DOUBLE 43 |
| {\tt 00 00 00 14 00 00 00 02 00 00 00 02 00 00 00 01} |
|
| \end{center} |
|
| ¤È¤Ê¤ë¡£¤Þ¤¿¡¢Æ±¤¸É½¸½ÊýË¡¤Ç $-1$ ¤òɽ¸½¤¹¤ë¤È¡¢ |
|
| \begin{center} |
|
| {\tt 00 00 00 14 ff ff ff ff 00 00 00 01} |
|
| \end{center} |
|
| ¤È¤Ê¤ë¡£ |
|
| |
|
| |
#define CMO_BIGFLOAT 50 |
| |
#define CMO_IEEE_DOUBLE_FLOAT 51 |
| |
|
| \section{mathcap ¤Ë¤Ä¤¤¤Æ} |
#define CMO_INDETERMINATE 60 |
| |
#define CMO_TREE 61 |
| |
#define CMO_LAMBDA 62 |
| |
\end{verbatim} |
| |
|
| OpenXM µ¬Ìó¤Ç¤Ï¡¢ÄÌ¿®»þ¤ËÍѤ¤¤é¤ì¤ë¥á¥Ã¥»¡¼¥¸¤Î¼ïÎà¤ò³Æ¥½¥Õ¥È¥¦¥§¥¢¤¬À© |
¤³¤ÎÃæ¤Ç CMO\_ERROR2, CMO\_NULL, CMO\_INT32, CMO\_DATUM, CMO\_STRING, |
| ¸Â¤¹¤ëÊýË¡¤òÍÑ°Õ¤·¤Æ¤¤¤ë¡£¤³¤ì¤Ï³Æ¥½¥Õ¥È¥¦¥§¥¢¤Î¼ÂÁõ¤Ë¤è¤Ã¤Æ¤Ï¤¹¤Ù¤Æ¤Î¥á¥Ã |
CMO\_MATHCAP, CMO\_LIST ¤Ç¼±Ê̤µ¤ì¤ë¥ª¥Ö¥¸¥§¥¯¥È¤ÏºÇ¤â´ðËÜŪ¤Ê¥ª¥Ö¥¸¥§ |
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| ¤Ç¥á¥Ã¥»¡¼¥¸¤Î¼ïÎà¤ò³ÈÄ¥¤·¤¿¤¤¾ì¹ç¤Ë¤â͸ú¤Ç¤¢¤ë¡£¤³¤ÎÀ©¸Â(¤¢¤ë¤¤¤Ï³ÈÄ¥) |
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| ¤Ï mathcap ¤È¸Æ¤Ð¤ì¤ë¥Ç¡¼¥¿¹½Â¤¤Ë¤è¤Ã¤Æ¹Ô¤ï¤ì¤ë¡£¤³¤ÎÀá¤Ç¤Ï mathcap ¤Î¥Ç¡¼ |
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| ¥¯¥é¥¤¥¢¥ó¥È¦¤Î mathcap ¤ò¥µ¡¼¥Ð¤ØÁ÷¤ë¤È¡¢ |
¤³¤ÎÏÀʸ¤Ç¤Ï, Âçʸ»ú¤Ç CMO\_INT32 ¤È½ñ¤¤¤¿¾ì¹ç¤Ë¤Ï, ¾åµ¤ÇÄêµÁ¤·¤¿¼±ÊÌ»Ò |
| ¤¹¤Ç¤ËÀâÌÀ¤·¤¿¤è¤¦¤Ë¡¢¥µ¡¼¥Ð¤Ï¼õ¤±¼è¤Ã¤¿ mathcap ¤ò¥¹¥¿¥Ã¥¯¤ËÀѤ߾夲¤ë¡£ |
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| ¼¡¤Ë¥¯¥é¥¤¥¢¥ó¥È¤Ï¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤Ø¤ÎÌ¿Îá¤ò¥µ¡¼¥Ð¤ØÁ÷¤ë¤³¤È¤Ë¤è¤ê¡¢ |
¥¿¹½Â¤)¤ò cmo\_int32 ¤È¾®Ê¸»ú¤Çɽ¤ï¤¹¤³¤È¤Ë¤¹¤ë. |
| ¥µ¡¼¥Ð¤Ï¥¹¥¿¥Ã¥¯¤ËÀѤޤì¤Æ¤¤¤ë mathcap ¤ò¼è¤ê½Ð¤·¡¢ |
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| ¼¡¤Ë mathcap ¤Î¥Ç¡¼¥¿¹½Â¤¤Ë¤Ä¤¤¤ÆÀâÌÀ¤¹¤ë¡£ |
¤µ¤Æ cmo ¤òɽ¸½¤¹¤ë¤¿¤á¤Î°ì¤Ä¤ÎµË¡¤òƳÆþ¤¹¤ë. ¤³¤ÎµË¡¤Ï CMO expression |
| mathcap ¤Ï CMO ·Á¼°¤ÇÄêµÁ¤µ¤ì¤Æ¤ª¤ê¡¢ |
¤È¸Æ¤Ð¤ì¤Æ¤¤¤ë. ¤½¤ÎÀµ³Î¤Ê·Á¼°ÅªÄêµÁ¤Ï \cite{OpenXM-1999} ¤ò»²¾È¤¹¤ë¤³¤È. |
| 1 ¤Ä¤Î CMO ·Á¼°¤Î¥ª¥Ö¥¸¥§¥¯¥È¤ò»ý¤Ä¡£ |
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| ¤½¤Î¥ª¥Ö¥¸¥§¥¯¥È¤Ï°Ê²¼¤ÇÀâÌÀ¤¹¤ë 3 ¤Ä¤ÎÍ×ÁǤ«¤é¤Ê¤ë¥ê¥¹¥È¤Ç¤Ê¤±¤ì¤Ð¤Ê¤é¤Ê¤¤¡£ |
¤Þ¤º CMO expssion ¤Ï Lisp É÷ɽ¸½¤Î°ì¼ï¤Ç, cmo ¤ò³ç¸Ì¤Ç°Ï¤ó¤À¥ê¥¹¥È¤È¤· |
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¤Æɽ¸½¤¹¤ë. ¤½¤ì¤¾¤ì¤ÎÍ×ÁǤϥ«¥ó¥Þ¤Ç¶èÀÚ¤ë. |
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Î㤨¤Ð, |
| |
\begin{quote} |
| |
(17, {\sl int32}, (CMO\_NULL), (2, {\sl int32} $n$)) |
| |
\end{quote} |
| |
¤Ï CMO expression ¤Ç¤¢¤ë. ¤³¤³¤Ç, ¾®Ê¸»ú¤Î¼ÐÂΤÇɽ¤µ¤ì¤¿``{\sl int32}'' |
| |
¤Ï 4¥Ð¥¤¥È¤ÎǤ°Õ¤Î¥Ç¡¼¥¿¤òɽ¤¹µ¹æ¤Ç¤¢¤ê, ``{\sl int32} $n$'' ¤ÏƱ¤¸¤¯ 4 |
| |
¥Ð¥¤¥È¤Î¥Ç¡¼¥¿¤Ç¤¢¤ë¤¬°Ê²¼¤ÎÀâÌÀ¤Ç $n$ ¤Èɽ¤¹¤³¤È¤ò¼¨¤¹. ¤Þ¤¿¿ô»ú 17, 2 |
| |
¤Ê¤É¤Ï 4¥Ð¥¤¥È¤Î¥Ç¡¼¥¿¤ÇÀ°¿ôÃͤȤ·¤Æ¤ß¤¿¤È¤¤ÎÃͤò°ÕÌ£¤¹¤ë. CMO\_NULL ¤Ï |
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¼±ÊÌ»Ò(¤¹¤Ê¤ï¤Á¿ô»ú 1 ¤ÈÅù²Á)¤Ç¤¢¤ë. ¤³¤ÎµË¡¤«¤é¾åµ¤Î¥Ç¡¼¥¿¤Ï 20 ¥Ð¥¤ |
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¥È¤ÎÂ礤µ¤Î¥Ç¡¼¥¿¤Ç¤¢¤ë¤³¤È¤¬Ê¬¤«¤ë. |
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¤Ê¤ª, ¥Ç¡¼¥¿¤¬ CMO expression ¤Çɽµ¤Ç¤¤Æ¤â, |
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CMO ¤Ç¤¢¤ë¤È¤Ï¸Â¤é¤Ê¤¤¤³¤È¤ËÃí°Õ¤·¤Æ¤Û¤·¤¤. |
| |
|
| \[ \begin{tabular}{|c|c|c|} \hline |
¤µ¤Æ, ¤³¤ÎµË¡¤Î¤â¤È¤Ç cmo\_int32 ¤ò¼¡¤Î¥Ç¡¼¥¿¹½Â¤¤ò»ý¤Ä¤ÈÄêµÁ¤¹¤ë. |
| $A$ & $B$ & $C$ \\ \hline |
\begin{quote} |
| \end{tabular} \] |
cmo\_int32 := (CMO\_INT32, {\sl int32}) |
| |
\end{quote} |
| |
ƱÍͤË, cmo\_null, cmo\_string, cmo\_list, cmo\_mathcap ¤Î¥·¥ó¥¿¥Ã |
| |
¥¯¥¹¤Ï¼¡¤Î¤è¤¦¤ËÄêµÁ¤µ¤ì¤ë. |
| |
\begin{quote} |
| |
cmo\_null := (CMO\_NULL) \\ |
| |
cmo\_string := (CMO\_STRING, {\sl int32} $n$, {\sl string} $s$) \\ |
| |
cmo\_list := (CMO\_LIST, {\sl int32} $m$, {\sl cmo} $c_1$, $\ldots$, |
| |
{\sl cmo} $c_m$) \\ |
| |
cmo\_mathcap := (CMO\_MATHCAP, {\sl cmo\_list}) |
| |
\end{quote} |
| |
¤¿¤À¤·, {\sl string}¤ÏŬÅö¤ÊŤµ¤Î¥Ð¥¤¥ÈÎó¤òɽ¤¹. $s$ ¤Î¥Ð¥¤¥ÈĹ¤Ï $n$ |
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¤È°ìÃפ¹¤ë¤³¤È¤¬Í׵ᤵ¤ì¤ë. |
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|
| ºÇ½é¤ÎÍ×ÁÇ $A$ ¤ÎÉôʬ¤Ï°Ê²¼¤Î¿Þ¤Î¤è¤¦¤Ê¥ê¥¹¥È¹½Â¤¤ò¤·¤Æ¤ª¤ê¡¢ |
%{\Large °Ê²¼, Åļ¤Î½ñ¤¤¤¿Éôʬ¤Ç¤¢¤ë¤¬, ÌäÂê³°¤Ç¤¢¤ë¤³¤È¤è. \\ |
| $a_1$ ¤Ï 32 ¥Ó¥Ã¥ÈÀ°¿ô¤Ç¥Ð¡¼¥¸¥ç¥ó¥Ê¥ó¥Ð¡¼¤ò¡¢ |
%¤³¤ó¤Ê¤¤¤¤²Ã¸º¤Ê¤³¤È¤Ð¤«¤ê½ñ¤¯¤«¤é, ¿®ÍѤµ¤ì¤Ê¤¤¤ó¤À¤è. |
| $a_2$ ¤Ïʸ»úÎó¤Ç¥·¥¹¥Æ¥à¤Î̾Á°¤òɽ¤¹¤³¤È¤Ë¤Ê¤Ã¤Æ¤¤¤ë¡£ |
%¡ÖCMO ¤Î 32 ¥Ó¥Ã¥ÈÀ°¿ô¡×¤Ê¤ó¤Æ¤É¤³¤ÇÄêµÁ¤·¤¿¤ó¤À¤è. µ¬Ìó¤Ë¤â¤½¤ó¤ÊÇϼ¯¤Ê |
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%¸ÀÍդϤʤ¤¤¾. ¤Þ¤¸¤á¤Ë½ñ¤¯µ¤¤¬¤¢¤ë¤Î¤«? |
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%} |
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% |
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%¤³¤ì¤Ï CMO ¤Î 32 ¥Ó¥Ã¥ÈÀ°¿ô $a$ ¤òɽ¤¹. |
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% |
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%¾¤Î¥ª¥Ö¥¸¥§¥¯¥È¤âÄêµÁ¤¹¤ë¤¿¤á¤Ë, |
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%``{\sl string} $s$'' ¤òʸ»úÎó $s$ , |
| |
%``{\sl cmo} $ob$'' ¤ò CMO ¤Î $ob$ ¤È¤¹¤ë. |
| |
%¤³¤ì¤òÍѤ¤¤Æ, cmo\_string, cmo\_list ¤òÄêµÁ¤¹¤ë. |
| |
% |
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%{\Large ¤Þ¤¿¤¤¤¤²Ã¸º¤Ê¤³¤È¤ò.... ``ʸ»úÎó'' ¤Î³µÇ°¤¬¤Ï¤Ã¤¤ê¤·¤Ê¤¤¤Ç¤·¤ç |
| |
%¤¦¤¬. } |
| |
% |
| |
%\begin{quote} |
| |
%cmo\_string := (CMO\_STRING, {\sl int32} $len$, {\sl string} $str$) \\ |
| |
%cmo\_list := (CMO\_LIST, {\sl int32} $n$, {\sl cmo} $ob_1$, |
| |
% {\sl cmo} $ob_2$, $\cdots$,{\sl cmo} $ob_n$) |
| |
%\end{quote} |
| |
% |
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%¤³¤ì¤Ï¤½¤ì¤¾¤ìŤµ $len$ ¤Îʸ»úÎó $str$ ¤È, |
| |
%$ob_1$, $ob_2$, $\cdots$, $ob_n$ ¤«¤é¤Ê¤ëŤµ $n$ ¤Î¥ê¥¹¥È¤òɽ¤¹. |
| |
|
| \[ \begin{tabular}{|c|c|} \hline |
|
| $a_1$ & $a_2$ \\ \hline |
|
| \end{tabular} \] |
|
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| \[ \begin{tabular}{|c|c|c|c|} \hline |
% Àè¤Û¤É¤Î, (CMO\_INT32, 123456789) ¤ò¥Í¥Ã¥È¥ï¡¼¥¯¥Ð¥¤¥È¥ª¡¼¥À¡¼¤Ç |
| $b_1$ & $b_2$ & $\cdots$ & $b_n$ \\ \hline |
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| \end{tabular} \] |
% \begin{center} |
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% \end{center} |
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% ¤È¤Ê¤ê, |
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% (CMO\_STRING, 6, ``OpenXM'') ¤Ï |
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% \end{center} |
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| \[ \overbrace{ |
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| $c_1$ & $c_2$ & $\cdots$ & $c_n$ \\ \hline |
|
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| }^{C} \] |
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| $\cdots$ & $c_{im}$ \\ \hline |
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| \end{tabular} |
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| $c_{i2}$ ¤Ï°Ê²¼¤Î¿Þ¤Î¤è¤¦¤Ê¥ê¥¹¥È¹½Â¤¤Ë¤Ê¤Ã¤Æ¤¤¤ë¡£ |
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| ³ÆÍ×ÁÇ¤Ï 32 ¥Ó¥Ã¥È¤ÎÀ°¿ô¤Ç¤¢¤ê¡¢ |
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| \[ \overbrace{ |
|
| \begin{tabular}{|c|c|c|c|c|} \hline |
|
| $c_{i21}$ & $c_{i22}$ & $\cdots$ & $c_{i2l}$ \\ \hline |
|
| \end{tabular} |
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| }^{c_{i2}} \] |
|
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| %¤Ê¤ª¡¢ mathcap ¥Ç¡¼¥¿¤ÎÃæ¤Ç¤Ï CMO ·Á¼°¤ÇÄêµÁ¤µ¤ì¤Æ¤¤¤ë |
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| %32 bit À°¿ô¡¢Ê¸»úÎ󡢥ꥹ¥È¹½Â¤¤¬»È¤ï¤ì¤Æ¤ª¤ê¡¢ |
% $f$ & $b_0$ & $b_1$ & $\cdots$ & $b_{n-1}$ \\ \hline |
| %mathcap ¥Ç¡¼¥¿¤Ë´Þ¤Þ¤ì¤Æ¤¤¤ëÆâÍƤòÍý²ò¤Ç¤¤ë¤¿¤á¤Ë¤Ï |
% \end{tabular} |
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| ¶ñÂÎŪ¤Ê mathcap ¤ÎÎã¤ò¤¢¤²¤è¤¦¡£ |
% ¤³¤³¤Ç, 1 ¤Ä¤ÎÏÈ¤Ï 4 ¥Ð¥¤¥È¤òɽ¤·, |
| %¤Ê¤ª¡¢ $a_1$, $a_2$, $\cdots$, $a_n$ ¤òÍ×ÁÇ¤Ë |
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| %»ý¤Ä¥ê¥¹¥È¹½Â¤¤ò {\tt [$a_1$, $a_2$, $\cdots$, $a_n$]} ¡¢ |
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| %ʸ»úÎó ``string'' ¤ò {\tt "string"} ¡¢ 32 bit À°¿ô¤ò |
% ¤µ¤é¤Ë, $|f| = n$ ¤¬À®¤êΩ¤¿¤Ê¤±¤ì¤Ð¤Ê¤é¤Ê¤¤. |
| %¤½¤ì¤ËÂбþ¤¹¤ë 10 ¿Ê¿ô¤ÎÀ°¿ô¤Ç¼¨¤¹¡£ |
% ¤³¤Î¥ª¥Ö¥¸¥§¥¯¥È¤Ï |
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% \[ \mbox{sgn}(f) \times \{ b_0 (2^{32})^0 + b_1 (2^{32})^1 + \cdots |
| $A$ ¤ÎÉôʬ¤Ï |
% + b_{n-1} (2^{32})^{n-1} \} \] |
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% ¤È¤¤¤¦À°¿ô¤Ç¤¢¤ë¤ÈÄêµÁ¤µ¤ì¤Æ¤¤¤ë. |
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% ¤¿¤À¤·, |
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% \[ \mbox{sgn}(f) = \left\{ \begin{array}{ll} |
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% 1 & f>0 \\ |
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% 0 & f=0 \\ |
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% -1 & f<0 \\ \end{array} \right. \] |
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% ¤Ç¤¢¤ë. |
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|
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% ¤³¤³¤Ç¶ñÂÎÎã¤ò¤À¤½¤¦. |
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% $4294967298 = 1 \times 2^{32} + 2$ ¤ò CMO ·Á¼°¤Î |
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% \end{center} |
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% \begin{center} |
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% \end{center} |
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% ¤È¤Ê¤ë. |
| |
|
| |
|
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\section{mathcap ¤Ë¤Ä¤¤¤Æ} |
| |
|
| |
OpenXM µ¬Ìó¤Ç¤Ï, ÄÌ¿®»þ¤ËÍѤ¤¤é¤ì¤ë¥á¥Ã¥»¡¼¥¸¤Î¼ïÎà¤ò³Æ¥½¥Õ¥È¥¦¥§¥¢¤¬À© |
| |
¸Â¤¹¤ëÊýË¡¤òÍÑ°Õ¤·¤Æ¤¤¤ë. ¤³¤ì¤Ï³Æ¥½¥Õ¥È¥¦¥§¥¢¤Î¼ÂÁõ¤Ë¤è¤Ã¤Æ¤Ï¤¹¤Ù¤Æ¤Î¥á¥Ã |
| |
¥»¡¼¥¸¤ò¥µ¥Ý¡¼¥È¤¹¤ë¤Î¤¬º¤Æñ¤Ê¾ì¹ç¤¬¤¢¤ë¤«¤é¤Ç¤¢¤ë. ¤Þ¤¿, ³Æ¥½¥Õ¥È¥¦¥§¥¢ |
| |
¤Ç¥á¥Ã¥»¡¼¥¸¤Î¼ïÎà¤ò³ÈÄ¥¤·¤¿¤¤¾ì¹ç¤Ë¤â͸ú¤Ç¤¢¤ë. ¤³¤ÎÀ©¸Â(¤¢¤ë¤¤¤Ï³ÈÄ¥) |
| |
¤Ï mathcap ¤È¸Æ¤Ð¤ì¤ë¥Ç¡¼¥¿¹½Â¤¤Ë¤è¤Ã¤Æ¹Ô¤ï¤ì¤ë. ¤³¤ÎÀá¤Ç¤Ï mathcap ¤Î¥Ç¡¼ |
| |
¥¿¹½Â¤¤È, ¶ñÂÎŪ¤Ê¥á¥Ã¥»¡¼¥¸¤ÎÀ©¸Â¤Î¼ê³¤¤Ë¤Ä¤¤¤ÆÀâÌÀ¤¹¤ë. |
| |
|
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¤Ç¤Ï, ¼ê³¤¤Ë¤Ä¤¤¤ÆÀâÌÀ¤·¤è¤¦. |
| |
|
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Âè°ì¤Ë¥µ¡¼¥Ð¤Îµ¡Ç½¤òÀ©¸Â¤¹¤ë¤Ë¤Ï¼¡¤Î¤è¤¦¤Ë¤¹¤ë. ¥¯¥é¥¤¥¢¥ó¥È¤¬ mathcap |
| |
¥ª¥Ö¥¸¥§¥¯¥È¤ò¥µ¡¼¥Ð¤ØÁ÷¤ë¤È, ¥µ¡¼¥Ð¤Ï¼õ¤±¼è¤Ã¤¿mathcap ¤ò¥¹¥¿¥Ã¥¯¤ËÀѤà. |
| |
¼¡¤Ë¥¯¥é¥¤¥¢¥ó¥È¤¬Ì¿Îá SM\_setMathCap ¤òÁ÷¤ë¤È, ¥µ¡¼¥Ð¤Ï¥¹¥¿¥Ã¥¯¤ÎºÇ¾å°Ì |
| |
¤ËÀѤޤì¤Æ¤¤¤ë mathcap ¥ª¥Ö¥¸¥§¥¯¥È¤ò¼è¤ê½Ð¤·, mathcap ¤ÇÀßÄꤵ¤ì¤Æ¤¤¤Ê |
| |
¤¤¥á¥Ã¥»¡¼¥¸¤ò¥¯¥é¥¤¥¢¥ó¥È¤ØÁ÷¤é¤Ê¤¤¤è¤¦¤ËÀ©¸Â¤ò¹Ô¤¦. |
| |
|
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ÂèÆó¤Ë¥¯¥é¥¤¥¢¥ó¥È¤òÀ©¸Â¤¹¤ë¤Ë¤Ï¼¡¤Î¤è¤¦¤Ë¤¹¤ë. ¥¯¥é¥¤¥¢¥ó¥È¤¬¥µ¡¼¥Ð¤ËÌ¿Îá \\ |
| |
SM\_mathcap ¤òÁ÷¤ë¤È, ¥µ¡¼¥Ð¤Ï mathcap ¥ª¥Ö¥¸¥§¥¯¥È¤ò¥¹¥¿¥Ã¥¯¤ËÀѤà. |
| |
¤µ¤é¤ËÌ¿Îá SM\_popCMO ¤òÁ÷¤ë¤È, ¥µ¡¼¥Ð¤Ï¥¹¥¿¥Ã¥¯¤ÎºÇ¾å°Ì¤Î¥ª¥Ö¥¸¥§¥¯¥È |
| |
(¤¹¤Ê¤ï¤Á mathcap ¥ª¥Ö¥¸¥§¥¯¥È)¤ò¥Ü¥Ç¥£¤È¤¹¤ë¥á¥Ã¥»¡¼¥¸¤ò¥¯¥é¥¤¥¢¥ó¥È¤Ë |
| |
Á÷ÉÕ¤¹¤ë. ¥¯¥é¥¤¥¢¥ó¥È¤Ï¤½¤Î¥ª¥Ö¥¸¥§¥¯¥È¤ò²òÀϤ·¤Æ, À©¸Â¤ò¤«¤±¤ë. |
| |
|
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¼¡¤Ë mathcap ¤Î¥Ç¡¼¥¿¹½Â¤¤Ë¤Ä¤¤¤ÆÀâÌÀ¤¹¤ë. |
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mathcap ¤Ï CMO ¤Î°ì¼ï¤Ç¤¢¤ë¤Î¤Ç, ¤¹¤Ç¤ËÀâÌÀ¤·¤¿¤è¤¦¤Ë \\ |
| \begin{tabular}{|c|c|} \hline |
\begin{tabular}{|c|c|} \hline |
| 199911250 & "ox\_test" \\ \hline |
¥Ø¥Ã¥À & \hspace{10mm} ¥Ü¥Ç¥£ \hspace{10mm} \\ \hline |
| \end{tabular} |
|
| ¤È¤Ê¤ë¡£ |
|
| ¤µ¤é¤Ë¡¢¤³¤Î¥µ¡¼¥Ð¤Î¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤¬ |
|
| Ì¿Îᥳ¡¼¥É 2, 3, 5, 7, 11 ÈÖ¤òÍøÍѲÄǽ |
|
| (¼ÂºÝ¤Ë¤Ï¤³¤Î¤è¤¦¤ÊÌ¿Îᥳ¡¼¥É¤Ï¸ºß¤·¤Ê¤¤)¤Ç¤¢¤ì¤Ð¡¢ $B$ ¤ÎÉôʬ¤Ï |
|
| \begin{tabular}{|c|c|c|c|c|} \hline |
|
| 2 & 3 & 5 & 7 & 11 \\ \hline |
|
| \end{tabular} |
|
| ¤È¤Ê¤ê¡¢ |
|
| CMO ·Á¼°¤Î 32 ¥Ó¥Ã¥ÈÀ°¿ô¡¢Ê¸»úÎó¡¢ mathcap ¡¢¥ê¥¹¥È¹½Â¤¤Î¤ß¤¬ |
|
| ¼õ¤±¼è¤ì¤ë¤È¤¤Ë¤Ï¡¢ $C$ ¤ÎÉôʬ¤Ï |
|
| \begin{tabular}{|c|} \hline |
|
| \\[-5mm] |
|
| \begin{tabular}{|c|c|} \hline |
|
| & \\[-5mm] |
|
| OX\_DATA & |
|
| \begin{tabular}{|c|c|c|c|} \hline |
|
| CMO\_INT32 & CMO\_STRING & CMO\_MATHCAP & CMO\_LIST \\ \hline |
|
| \end{tabular} \\[0.8mm] \hline |
|
| \end{tabular} \\[1.4mm] \hline |
|
| \end{tabular} \\ |
\end{tabular} \\ |
| ¤È¤Ê¤ë¡£ |
¤Î¹½Â¤¤ò»ý¤Á¥Ø¥Ã¥À¤ÎÃÍ¤Ï 5 ¤Ç¤¢¤ë(\ref{sec:cmo} Àá¤ò»²¾È¤Î¤³¤È). |
| CMO\_ZZ ¤¬¤Ê¤¤¤Î¤Ç¡¢¤³¤Î¥µ¡¼¥Ð¤Ï¿ÇÜĹÀ°¿ô¤¬Á÷¤é¤ì¤Æ¤³¤Ê¤¤¤³¤È¤ò´üÂÔ¤·¤Æ |
¥Ü¥Ç¥£¤Ï cmo\_list ¥ª¥Ö¥¸¥§¥¯¥È¤Ç¤Ê¤±¤ì¤Ð¤Ê¤é¤Ê¤¤. |
| ¤¤¤ë¡£ |
|
| |
|
| ¤Ê¤ª¡¢¥Ç¡¼¥¿¤¬¼õ¤±¼è¤ì¤ë¤³¤È¤È¡¢¥Ç¡¼¥¿¤ÎÏÀÍý¹½Â¤¤¬Íý²ò¤Ç¤¤ë¤³¤È¤È¤Ï¤Þ¤Ã |
%\begin{quote} |
| ¤¿¤¯ÊÌʪ¤Ç¤¢¤ë¤Î¤ÇÃí°Õ¤¹¤ëɬÍפ¬¤¢¤ë¡£ |
% cmo\_mathcap := (CMO\_MATHCAP,{\sl cmo} obj) |
| |
%\end{quote} |
| |
|
| {\Huge ¤Ã¤Æ¤Ê¤ó¤Ç¤Ç¤·¤ç¤¦¤«? ¥Ç¡¼¥¿¤ÎÏÀÍý¹½Â¤¤òÃΤé¤Ê¤¤¤È¼õ¤±¼è¤ì¤Ê¤¤¤È |
¤µ¤Æ, mathcap ¥ª¥Ö¥¸¥§¥¯¥È¤Î¥Ü¥Ç¥£¤Î cmo\_list ¥ª¥Ö¥¸¥§¥¯¥È¤Ï°Ê²¼¤Î¾ò·ï¤ò |
| »×¤¦¤ó¤Ç¤¹¤¬$\ldots$} |
Ëþ¤¿¤¹¤³¤È¤òÍ׵ᤵ¤ì¤ë. |
| |
|
| |
¤Þ¤º, ¤½¤Î cmo\_list ¥ª¥Ö¥¸¥§¥¯¥È¤Ï¾¯¤Ê¤¯¤È¤â¥ê¥¹¥ÈŤ¬ 3 °Ê¾å¤Ç¤Ê¤±¤ì¤Ð |
| |
¤Ê¤é¤Ê¤¤. |
| |
|
| |
\begin{quote} |
| |
(CMO\_LIST, {\sl int32}, {\sl cmo} $A$, {\sl cmo} $B$, {\sl cmo} $C$, $\ldots$) |
| |
\end{quote} |
| |
|
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Âè°ìÍ×ÁÇ $A$ ¤Ï¤Þ¤¿ cmo\_list ¤Ç¤¢¤ê, ¥ê¥¹¥ÈĹ¤Ï 4 °Ê¾å, |
| |
$a_1$ ¤Ï 32 ¥Ó¥Ã¥ÈÀ°¿ô¤Ç¥Ð¡¼¥¸¥ç¥ó¥Ê¥ó¥Ð¡¼¤ò, |
| |
$a_2$, $a_3$, $a_4$ ¤Ïʸ»úÎó¤Ç¤¢¤ê, |
| |
¤½¤ì¤¾¤ì¥·¥¹¥Æ¥à¤Î̾Á°, , HOSTTYPE ¤òɽ¤¹¤³¤È¤Ë¤Ê¤Ã¤Æ¤¤¤ë. |
| |
\begin{quote} |
| |
(CMO\_LIST, {\sl int32}, |
| |
{\sl cmo\_int32} $a_1$, {\sl cmo\_string} $a_2$, {\sl cmo\_string} |
| |
$a_3$, {\sl cmo\_string} $a_4$, $\ldots$) |
| |
\end{quote} |
| |
|
| |
ÂèÆóÍ×ÁÇ $B$ ¤ÎÉôʬ¤Ï¼¡¤Î¤è¤¦¤Ê¥ê¥¹¥È¹½Â¤¤ò¤·¤Æ¤¤¤ë. |
| |
¤³¤Î $b_1$, $b_2$, $\cdots$, $b_n$ ¤Ï¤¹¤Ù¤Æ cmo\_int32 ¤Ç¤¢¤ë. |
| |
\ref{sec:oxsm} Àá¤ÇÀâÌÀ¤·¤¿¤¬, |
| |
¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤Ø¤ÎÌ¿Îá¤Ï¤¹¤Ù¤Æ {\sl int32} ¤Çɽ¤µ¤ì¤Æ¤¤¤¿¤³¤È¤ËÃí°Õ¤·¤è |
| |
¤¦. ³Æ $b_i$ ¤ÏÍøÍѲÄǽ¤ÊÌ¿Îá¤ò¥Ü¥Ç¥£¤È¤·¤¿ cmo\_int32 ¤È¤Ê¤Ã¤Æ¤¤¤ë. |
| |
\begin{quote} |
| |
(CMO\_LIST, {\sl int32} $n$, |
| |
{\sl cmo\_int32} $b_1$, {\sl cmo\_int32} $b_2$, |
| |
$\cdots$, {\sl cmo\_int32} $b_n$) |
| |
\end{quote} |
| |
|
| |
Âè»°Í×ÁÇ $C$ ¤Ï°Ê²¼¤Î¤è¤¦¤Ê¥ê¥¹¥È¹½Â¤¤ò¤·¤Æ¤¤¤ë. |
| |
\begin{quote} |
| |
(CMO\_LIST, {\sl int32} $m$, \\ |
| |
\hspace{10mm} (CMO\_LIST, {\sl int32} $l_1$, {\sl cmo\_int32} $c_{11}$, |
| |
{\sl cmo} $c_{12}$, $\cdots$, {\sl cmo} $c_{1l_1}$) \\ |
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\hspace{10mm} (CMO\_LIST, {\sl int32} $l_2$, {\sl cmo\_int32} $c_{21}$, |
| |
{\sl cmo} $c_{22}$, $\cdots$, {\sl cmo} $c_{1l_2}$) \\ |
| |
\hspace{10mm} $\vdots$ \\ |
| |
\hspace{10mm} (CMO\_LIST, {\sl int32} $l_m$, {\sl cmo\_int32} $c_{m1}$, |
| |
{\sl cmo} $c_{m2}$, $\cdots$, {\sl cmo} $c_{1l_m}$)) |
| |
\end{quote} |
| |
¤É¤Î $c_{i1}$ ¤Ë¤â cmo\_int32 ¤¬Æþ¤Ã¤Æ¤ª¤ê, |
| |
OX\_COMMAND °Ê³°¤Î, ¼õ¤±¼è¤ì¤ë¥á¥Ã¥»¡¼¥¸¤Î¼±Ê̻Ҥ¬Æþ¤Ã¤Æ¤¤¤ë. |
| |
$c_{i2}$ °Ê¹ß¤Ë¤Ä¤¤¤Æ¤ÏºÇ½é¤Î $c_{i1}$ ¤ÎÃͤˤè¤Ã¤Æ¤½¤ì¤¾¤ì°Û¤Ê¤ë. |
| |
¤³¤³¤Ç¤Ï, OX\_DATA ¤Î¾ì¹ç¤Ë¤Ä¤¤¤Æ¤Î¤ßÀâÌÀ¤¹¤ë. |
| |
¤³¤Î $c_{i1}$ ¤¬ OX\_DATA ¤Î¾ì¹ç, |
| |
$c_{i1}$, $c_{i2}$, $\cdots$, $c_{il_i}$ ¤òÍ×ÁǤȤ¹¤ë cmo\_list ¤Ï |
| |
CMO ·Á¼°¤Ë¤Ä¤¤¤Æ¤Î¾ðÊó¤òɽ¤·¤Æ¤ª¤ê, $l_i=2$ ¤È·è¤á¤é¤ì¤Æ¤¤¤ë. |
| |
$c_{i1}$ ¤Ë¤Ï¤â¤Á¤í¤ó¤Î¤³¤È OX\_DATA ¤¬Æþ¤Ã¤Æ¤ª¤ê, |
| |
$c_{i2}$ ¤Ï°Ê²¼¤Î¿Þ¤Î¤è¤¦¤Ê cmo\_list ¤Ë¤Ê¤Ã¤Æ¤¤¤ë. |
| |
³ÆÍ×ÁÇ¤Ï cmo\_int32 ¤Ç¤¢¤ê, |
| |
¼õ¤±¼è¤ë¤³¤È¤¬²Äǽ¤Ê CMO ·Á¼°¤Î¥¿¥°¤¬Æþ¤ë. |
| |
\begin{quote} |
| |
(CMO\_LIST, {\sl int32} $k$, |
| |
{\sl cmo\_int32} $c_{i21}$, {\sl cmo\_int32} $c_{i22}$, |
| |
$\cdots$, {\sl cmo\_int32} $c_{i2k}$) |
| |
\end{quote} |
| |
|
| |
¶ñÂÎŪ¤Ê mathcap ¤ÎÎã¤ò¤¢¤²¤è¤¦. |
| |
̾Á°¤¬ ``ox\_test'', ¥Ð¡¼¥¸¥ç¥ó¥Ê¥ó¥Ð¡¼¤¬ 199911250 ¤Î¥µ¡¼¥Ð¤Ç, |
| |
PC-UNIX ¾å¤ÇÆ°¤¤¤Æ¤¤¤ì¤Ð, |
| |
$A$ ¤ÎÉôʬ¤Ï |
| |
\begin{quote} |
| |
(CMO\_LIST, 4, (CMO\_INT32, $199911250$), (CMO\_STRING, 7, "ox\_test"), \\ |
| |
\ \ (CMO\_STRING, 9, "199911250"), (CMO\_STRING, 4, "i386")) |
| |
\end{quote} |
| |
¤È¤Ê¤ë. |
| |
%({\Large ½¤Àµ¤ò¤ß¤Æ, ¤¿¤À¤·¤¯Ä¾¤¹¤³¤È}) |
| |
|
| |
¤µ¤é¤Ë, ¤³¤Î¥µ¡¼¥Ð¤Î¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤¬ |
| |
Ì¿Îá SM\_popCMO, SM\_popString, SM\_mathcap, |
| |
SM\_executeStringByLocalParser ¤òÍøÍѲÄǽ |
| |
%(¼ÂºÝ¤Ë¤Ï¤³¤Î¤è¤¦¤ÊÌ¿Îᥳ¡¼¥É¤Ï¸ºß¤·¤Ê¤¤) |
| |
%{\Large ¤¸¤ã¤¢½ñ¤¯¤Ê} |
| |
¤Ç¤¢¤ì¤Ð, $B$ ¤ÎÉôʬ¤Ï |
| |
\begin{quote} |
| |
(CMO\_LIST, {\sl int32} $5$, |
| |
(CMO\_INT32, SM\_popCMO), \\ |
| |
\ \ (CMO\_INT32, SM\_popString), (CMO\_INT32, SM\_mathcap), \\ |
| |
\ \ (CMO\_INT32, SM\_executeStringByLocalParser)) |
| |
\end{quote} |
| |
¤È¤Ê¤ê, |
| |
CMO ·Á¼°¤Î 32 ¥Ó¥Ã¥ÈÀ°¿ô, ʸ»úÎó, mathcap , ¥ê¥¹¥È¹½Â¤¤Î¤ß¤¬ |
| |
¼õ¤±¼è¤ì¤ë¤È¤¤Ë¤Ï, $C$ ¤ÎÉôʬ¤Ï |
| |
\begin{quote} |
| |
(CMO\_LIST, {\sl int32} $1$, \\ |
| |
\ \ (CMO\_LIST, {\sl int32} $2$, (CMO\_INT32, OX\_DATA), \\ |
| |
\ \ \ \ (CMO\_LIST, {\sl int32} $4$, (CMO\_INT32, CMO\_INT32), \\ |
| |
\ \ \ \ \ (CMO\_INT32, CMO\_STRING), (CMO\_INT32, CMO\_MATHCAP), \\ |
| |
\ \ \ \ \ (CMO\_INT32, CMO\_LIST)))) |
| |
\end{quote} |
| |
¤È¤Ê¤ë. |
| |
|
| |
% ¤Ê¤ª, ¤³¤Î mathcap ¤Ç¤Ï, ¥Ç¡¼¥¿¤ÎÏÀÍý¹½Â¤¤¬Íý²ò¤Ç¤¤ë¤«¤É¤¦¤« |
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% ¤Þ¤Ç¤Ïʬ¤«¤é¤Ê¤¤¤Î¤ÇÃí°Õ¤¹¤ëɬÍפ¬¤¢¤ë. |
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\section{¥»¥¥å¥ê¥Æ¥£Âкö} |
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ÃÖ¤ò¹Ô¤Ã¤Æ¤¤¤ë¤ï¤±¤Ç¤Ï¤Ê¤¤. ¤â¤·É¬Íפ¬¤¢¤ì¤Ð, ÄÌ¿®Ï©¤Î°Å¹æ²½¤ò¹Ô¤Ê¤¦µ¡Ç½ |
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¤¬¤¢¤ë¥½¥Õ¥È¥¦¥§¥¢ ssh ¤ò»È¤¦¤³¤È¤Ë¤·¤Æ¤¤¤ë. |
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|
| \section{¾¤Î¥×¥í¥¸¥§¥¯¥È} |
\section{¾¤Î¥×¥í¥¸¥§¥¯¥È} |
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|
| ¾¤Î¥×¥í¥¸¥§¥¯¥È¤Ë¤Ä¤¤¤Æ¤â¿¨¤ì¤Æ¤ª¤³¤¦¡£ |
¾¤Î¥×¥í¥¸¥§¥¯¥È¤Ë¤Ä¤¤¤Æ¤â¿¨¤ì¤Æ¤ª¤³¤¦. |
| |
|
| \begin{itemize} |
\begin{itemize} |
| \item OpenMath\\ |
\item OpenMath |
| OpenMath ¥×¥í¥¸¥§¥¯¥È¤Ï¿ô³ØŪ¤Ê¥ª¥Ö¥¸¥§¥¯¥È¤ò¥³¥ó¥Ô¥å¡¼¥¿¾å¤Çɽ¸½¤¹¤ëÊý |
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| Ë¡¤òµ¬Äꤷ¤Æ¤¤¤ë¡£³Æ¥½¥Õ¥È¥¦¥§¥¢´Ö¤Ç¥ª¥Ö¥¸¥§¥¯¥È¤ò¸ò´¹¤¹¤ëºÝ¤Î¥ª¥Ö¥¸¥§¥¯ |
|
| ¥È¤ÎÊÑ´¹¼ê½ç¤Ë¤Ä¤Æ¤âÄê¤á¤é¤ì¤Æ¤¤¤ë¡£É½¸½ÊýË¡¤Ï´ö¤Ä¤«¤ÎÃʳ¬¤ÇÄê¤á¤é¤ì¤Æ |
|
| ¤¤¤Æ¡¢XML ɽ¸½¤ä binary ɽ¸½¤Ê¤É¤¬ÍÑ°Õ¤µ¤ì¤Æ¤¤¤ë¡£¾ÜºÙ¤Ï |
|
| |
|
| http://www.openmath.org/omsoc/ A.M.Cohen |
http://www.openmath.org/omsoc/ A.M.Cohen |
| |
|
| |
¤³¤Î¥×¥í¥¸¥§¥¯¥È¤Ï¿ô³ØŪ¤Ê¥ª¥Ö¥¸¥§¥¯¥È¤ò¥³¥ó¥Ô¥å¡¼¥¿¾å¤Çɽ¸½¤¹¤ëÊý |
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Ë¡¤òµ¬Äꤷ¤Æ¤¤¤ë. |
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%³Æ¥½¥Õ¥È¥¦¥§¥¢´Ö¤Ç¥ª¥Ö¥¸¥§¥¯¥È¤ò¸ò´¹¤¹¤ëºÝ¤Î¥ª¥Ö¥¸¥§¥¯¥È¤ÎÊÑ´¹¼ê½ç¤Ë |
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%¤Ä¤¤¤Æ¤âÄê¤á¤é¤ì¤Æ¤¤¤ë. |
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ɽ¸½ÊýË¡¤Ï´ö¤Ä¤«¤ÎÃʳ¬¤ÇÄê¤á¤é¤ì¤Æ¤¤¤Æ, |
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XML ɽ¸½¤ä¥Ð¥¤¥Ê¥êɽ¸½¤Ê¤É¤¬ÍÑ°Õ¤µ¤ì¤Æ¤¤¤ë. |
| |
|
| |
|
| \item NetSolve |
\item NetSolve |
| |
|
| http://www.cs.utk.edu/netsolve/ |
http://www.cs.utk.edu/netsolve/ |
| |
|
| |
¥Í¥Ã¥È¥ï¡¼¥¯¤ò»È¤¤, Ê£ÁDzʳط׻»¤òʬ»¶¤·¤Æ¹Ô¤Ê¤¦. |
| |
|
| |
|
| \item MP |
\item MP |
| |
|
| http://symbolicNet.mcs.kent.edu/SN/areas/protocols/mp.html |
http://symbolicNet.mcs.kent.edu/SN/areas/protocols/mp.html |
| |
|
| |
¿ô³ØŪ¤Ê¥Ç¡¼¥¿¤Î¸úΨŪ¤Ê¸ò´¹¤Î¤¿¤á¤Î¥×¥í¥È¥³¥ë. |
| |
¸ò´¹¤¹¤ë¥Ç¡¼¥¿¤ÎÌÚ¹½Â¤¤Ë¤Ä¤¤¤Æ¾Ü¤·¤¤. |
| |
|
| |
|
| \item MCP |
\item MCP |
| |
|
| http://horse.mcs.kent.edu/~pwang/ |
http://horse.mcs.kent.edu/~pwang/ |
| |
|
| |
HTTP ¥×¥í¥È¥³¥ë¤òÍѤ¤¤Æ¡¢¥ê¥â¡¼¥È¤Î·×»»µ¡¤Ç·×»»¤ò¹Ô¤Ê¤¦. |
| |
|
| \end{itemize} |
\end{itemize} |
| |
|
| |
|
| \section{¸½ºßÄ󶡤µ¤ì¤Æ¤¤¤ë¥½¥Õ¥È¥¦¥§¥¢} |
\section{¸½ºßÄ󶡤µ¤ì¤Æ¤¤¤ë¥½¥Õ¥È¥¦¥§¥¢} |
| |
|
| ¸½ºß OpenXM µ¬Ìó¤ËÂбþ¤·¤Æ¤¤¤ë¥¯¥é¥¤¥¢¥ó¥È¤Ë¤Ïasir, sm1, Mathematica ¤¬ |
¸½ºß OpenXM µ¬Ìó¤ËÂбþ¤·¤Æ¤¤¤ë¥¯¥é¥¤¥¢¥ó¥È¤Ë¤Ïasir, sm1, Mathematica ¤¬¤¢¤ë. |
| ¤¢¤ë¡£¤³¤ì¤é¤Î¥¯¥é¥¤¥¢¥ó¥È¤«¤é OpenXM µ¬Ìó¤ËÂбþ¤·¤¿¥µ¡¼¥Ð¤ò¸Æ¤Ó½Ð¤¹¤³¤È |
¤³¤ì¤é¤Î¥¯¥é¥¤¥¢¥ó¥È¤«¤é OpenXM µ¬Ìó¤ËÂбþ¤·¤¿¥µ¡¼¥Ð¤ò¸Æ¤Ó½Ð¤¹¤³¤È |
| ¤¬¤Ç¤¤ë¡£¸½ºß OpenXM µ¬Ìó¤ËÂбþ¤·¤Æ¤¤¤ë¥µ¡¼¥Ð¥½¥Õ¥È¥¦¥§¥¢¤Ë¤Ï¡¢asir, |
¤¬¤Ç¤¤ë. ¸½ºß OpenXM µ¬Ìó¤ËÂбþ¤·¤Æ¤¤¤ë¥µ¡¼¥Ð¥½¥Õ¥È¥¦¥§¥¢¤Ë¤Ï, asir, |
| sm1, gnuplot, Mathematica ¤Ê¤É¤¬¤¢¤ê¡¢¤½¤ì¤¾¤ì ox\_asir, ox\_sm1, |
sm1, gnuplot, Mathematica, PHC pack ¤Ê¤É¤¬¤¢¤ê, |
| ox\_sm1\_gnuplot, ox\_math ¤È¤¤¤¦Ì¾Á°¤ÇÄ󶡤µ¤ì¤Æ¤¤¤ë¡£¤Þ¤¿¡¢ OpenMath |
¤½¤ì¤¾¤ì ox\_asir, ox\_sm1, ox\_sm1\_gnuplot, ox\_math, ox\_sm1\_phc |
| |
¤È¤¤¤¦Ì¾Á°¤ÇÄ󶡤µ¤ì¤Æ¤¤¤ë. ¤Þ¤¿, OpenMath |
| µ¬Ìó¤Î XML ɽ¸½¤Çɽ¸½¤µ¤ì¤¿¥ª¥Ö¥¸¥§¥¯¥È¤È CMO ·Á¼°¤Î¥ª¥Ö¥¸¥§¥¯¥È¤òÊÑ´¹¤¹ |
µ¬Ìó¤Î XML ɽ¸½¤Çɽ¸½¤µ¤ì¤¿¥ª¥Ö¥¸¥§¥¯¥È¤È CMO ·Á¼°¤Î¥ª¥Ö¥¸¥§¥¯¥È¤òÊÑ´¹¤¹ |
| ¤ë¥½¥Õ¥È¥¦¥§¥¢¤¬ JAVA ¤Ë¤è¤Ã¤Æ¼ÂÁõ¤µ¤ì¤Æ¤ª¤ê¡¢OMproxy ¤È¤¤¤¦Ì¾Á°¤ÇÄ󶡤µ |
¤ë¥½¥Õ¥È¥¦¥§¥¢¤¬ JAVA ¤Ë¤è¤Ã¤Æ¼ÂÁõ¤µ¤ì¤Æ¤ª¤ê, OMproxy ¤È¤¤¤¦Ì¾Á°¤ÇÄ󶡤µ |
| ¤ì¤Æ¤¤¤ë¡£ |
¤ì¤Æ¤¤¤ë. |
| |
|
| \begin{thebibliography}{99} |
\begin{thebibliography}{99} |
| \bibitem{Ohara-Takayama-Noro-1999} |
\bibitem{Ohara-Takayama-Noro-1999} |
| ¾®¸¶¸ùǤ, ¹â»³¿®µ£, ÌîϤÀµ¹Ô: |
¾®¸¶¸ùǤ, ¹â»³¿®µ£, ÌîϤÀµ¹Ô: |
| {Open asir ÆþÌç}, 1999, ¿ô¼°½èÍý, Vol 7, No 2, 2--17. (ISBN4-87243-086-7, SEG ½ÐÈÇ, Tokyo). |
{Open asir ÆþÌç}, 1999, ¿ô¼°½èÍý, |
| |
Vol 7, No 2, 2--17. (ISBN4-87243-086-7, SEG ½ÐÈÇ, Tokyo). |
| |
|
| \bibitem{OpenXM-1999} |
\bibitem{OpenXM-1999} |
| ÌîϤÀµ¹Ô, ¹â»³¿®µ£: |
ÌîϤÀµ¹Ô, ¹â»³¿®µ£: |
| {Open XM ¤ÎÀ߷פȼÂÁõ --- Open message eXchange protocol for Mathematics}, |
{Open XM ¤ÎÀ߷פȼÂÁõ |
| 1999/11/22 |
--- Open message eXchange protocol for Mathematics}, |
| |
1999/11/22 |
| \end{thebibliography} |
\end{thebibliography} |
| |
|
| \end{document} |
\end{document} |
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