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Diff for /OpenXM/doc/Attic/genkou19991125.tex between version 1.65 and 1.74

version 1.65, 1999/12/23 22:58:32 version 1.74, 1999/12/24 16:59:48
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 %% $OpenXM: OpenXM/doc/genkou19991125.tex,v 1.64 1999/12/23 22:04:16 tam Exp $  %% $OpenXM: OpenXM/doc/genkou19991125.tex,v 1.73 1999/12/24 15:42:24 ohara Exp $
   
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 \title{¥¿¥¤¤Î¥È¥ë}  \title{
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 \author{Á° Àî ¾­ ½¨\affil{¿À¸ÍÂç³ØÍý³ØÉô}  \author{±ü ë ¡¡ ¹Ô ±û\affil{¿À¸ÍÂç³ØÂç³Ø±¡¼«Á³²Ê³Ø¸¦µæ²Ê}
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 %{\Huge °Ê²¼¡¢½ñ¤­Ä¾¤·}  \begin{verbatim}
   #define SM_popSerializedLocalObject               258
   #define SM_popCMO                                 262
   #define SM_popString                              263
   
 ¥¯¥é¥¤¥¢¥ó¥È¤¬¥µ¡¼¥Ð¤Ø¥á¥Ã¥»¡¼¥¸¤òÁ÷¤ê¡¢  #define SM_mathcap                                264
 ·×»»¤Î·ë²Ì¤òÆÀ¤ë¤È¤¤¤¦¼ê½ç¤òÄɤäƤ¤¤¯¤È¼¡¤Î¤è¤¦¤Ë¤Ê¤ë¡£  #define SM_pops                                   265
   #define SM_setName                                266
   #define SM_evalName                               267
   #define SM_executeStringByLocalParser             268
   #define SM_executeFunction                        269
   #define SM_beginBlock                             270
   #define SM_endBlock                               271
   #define SM_shutdown                               272
   #define SM_setMathCap                             273
   #define SM_executeStringByLocalParserInBatchMode  274
   #define SM_getsp                                  275
   #define SM_dupErrors                              276
   
 \begin{enumerate}  #define SM_DUMMY_sendcmo                          280
 \item   ¤Þ¤º¡¢¥¯¥é¥¤¥¢¥ó¥È¤¬¥µ¡¼¥Ð¤Ø¥á¥Ã¥»¡¼¥¸¤òÁ÷¤ë¡£  #define SM_sync_ball                              281
         ¥µ¡¼¥Ð¤ÏÁ÷¤é¤ì¤Æ¤­¤¿¥á¥Ã¥»¡¼¥¸¤ò¥¹¥¿¥Ã¥¯¤ËÀѤࡣ  
 \item   ¥¯¥é¥¤¥¢¥ó¥È¤¬¥µ¡¼¥Ð¤Ë¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤Ø¤ÎÌ¿Îá¤òÁ÷¤ë¤È¡¢  
         ¥µ¡¼¥Ð¤ÏɬÍפʤÀ¤±¥¹¥¿¥Ã¥¯¤«¤é¥Ç¡¼¥¿¤ò¼è¤ê½Ð¤·¡¢  
         ¼Â¹Ô¤·¤¿·ë²Ì¤ò¥¹¥¿¥Ã¥¯¤ËÀѤࡣ  
 \item   ºÇ¸å¤Ë¡Ö¥¹¥¿¥Ã¥¯¤«¤é¥Ç¡¼¥¿¤ò¼è¤ê½Ð¤·Á÷¿®¤ò¹Ô¤Ê¤¦Ì¿Îá¡×¤ò  
         ¥µ¡¼¥Ð¤ØÁ÷¤ë¤È¡¢¥µ¡¼¥Ð¤Ï¥¹¥¿¥Ã¥¯¤«¤é·×»»·ë²Ì¤ÎÆþ¤Ã¤Æ¤¤¤ë  
         ¥Ç¡¼¥¿¤ò¼è¤ê½Ð¤·¡¢¥¯¥é¥¤¥¢¥ó¥È¤ØÁ÷½Ð¤¹¤ë¡£  
 \end{enumerate}  
   
   #define SM_control_kill                          1024
   #define SM_control_to_debug_mode                 1025
   #define SM_control_exit_debug_mode               1026
   #define SM_control_ping                          1027
   #define SM_control_start_watch_thread            1028
   #define SM_control_stop_watch_thread             1029
   #define SM_control_reset_connection              1030
   \end{verbatim}
   
 \section{CMO ¤Î¥Ç¡¼¥¿¹½Â¤}  ¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤ÏÌ¿Îá¤Î¼Â¹Ô¤Î·ë²Ì¤¬¤¢¤ë¾ì¹ç¡¢
   
 OpenXM µ¬Ìó¤Ç¤Ï¡¢¿ô³ØŪ¥ª¥Ö¥¸¥§¥¯¥È¤òɽ¸½¤¹¤ëÊýË¡¤È¤·¤Æ  ·ë²Ì¤ò¥¹¥¿¥Ã¥¯¤ËÀѤࡣ
 CMO ·Á¼°(Common Mathematical Object format)¤òÄêµÁ¤·¤Æ¤¤¤ë¡£  ¤³¤ì¤Ï¡¢¤¿¤È¤¨¥¨¥é¡¼¤¬µ¯¤³¤Ã¤¿¤È¤·¤Æ¤âƱ¤¸¤Ç¤¢¤ê¡¢
 ¤³¤Î CMO ·Á¼°¤ò»È¤Ã¤Æ¥á¥Ã¥»¡¼¥¸¤òÁ÷¤ë¤Ë¤Ï¡¢  ¤³¤Î¾ì¹ç¤Ï¥¨¥é¡¼¥ª¥Ö¥¸¥§¥¯¥È¤ò¥¹¥¿¥Ã¥¯¤ËÀѤࡣ
 ¥¿¥°¤ò OX\_DATA ¤Ë¤¹¤ì¤Ð¤è¤¤¡£  
 CMO ·Á¼°¤Ë¤ª¤±¤ë¥Ç¡¼¥¿¹½Â¤¤Ë¤Ä¤¤¤Æ°Ê²¼¤ÇÀâÌÀ¤¹¤ë¤¬¡¢  
 %OpenXM µ¬Ìó¤ÇÄêµÁ¤µ¤ì¤Æ¤¤¤ë¥á¥Ã¥»¡¼¥¸¤ò¼ÂºÝ¤ËºîÀ®¤¹¤ë¾ì¹ç¡¢  
 CMO ·Á¼°¤ÇÄêµÁ¤µ¤ì¤Æ¤¤¤ë¿ÇÜĹÀ°¿ô¤òÍý²ò¤·¤Æ¤ª¤¯¤È¡¢  
 CMO ·Á¼°¤Î¾¤Î¥Ç¡¼¥¿¹½Â¤¤À¤±¤Ç¤Ê¤¯¡¢  
 OpenXM µ¬Ìó¤ÇÄêµÁ¤µ¤ì¤Æ¤¤¤ëÍÍ¡¹¤Ê¥Ç¡¼¥¿¹½Â¤¤òÍý²ò¤¹¤ë½õ¤±¤Ë¤Ê¤ë¤È»×¤¨¤ë¤Î¤Ç¡¢  
 ¤³¤³¤Ç¤Ï CMO ·Á¼°¤Î¿ÇÜĹÀ°¿ô¤Î¥Ç¡¼¥¿¹½Â¤¤Ë¤Ä¤¤¤Æ¤Î¤ßÀâÌÀ¤¹¤ë¡£  
   
 CMO ·Á¼°¤ÇÄêµÁ¤µ¤ì¤Æ¤¤¤ë¥Ç¡¼¥¿¤Ï¿ÇÜĹÀ°¿ô°Ê³°¤Ë¤â  %°Ê²¼¡¢¤É¤¦¤¤¤¦¤È¤­¤Ë·ë²Ì¤ò¥¹¥¿¥Ã¥¯¤ËÀѤफ¥¨¥é¡¼¤Î¾ì¹ç¤É¤¦¤¹¤ë¤«¤ÎÀâÌÀ¤¬
 Ê¸»úÎó¤ä¥ê¥¹¥È¹½Â¤¤Ê¤É¤¬¤¢¤ë¡£¤É¤Î¤è¤¦¤Ê¥Ç¡¼¥¿¤Ç¤¢¤ë¤«¤Ï  %ɬÍפǤ¢¤í¤¦¡£
 ¥Ç¡¼¥¿¤ÎÀèƬ 4 ¥Ð¥¤¥È¤Ë¤¢¤ë(¥á¥Ã¥»¡¼¥¸¤Î¼±Ê̻ҤȤÏÊ̤ˤ¢¤ë)¥¿¥°¤ò¸«¤ì¤Ð  
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 ¤³¤ì¤Ï¥á¥Ã¥»¡¼¥¸¤Î¼ïÎà¤ÎȽÊ̤λÅÊý¤È¤ª¤Ê¤¸¤Ç¤¢¤ë¡£  \section{CMO ¤Î¥Ç¡¼¥¿¹½Â¤}\label{sec:cmo}
 ¤Ê¤ª¡¢¥¿¥°¤Ï³Æ¥Ç¡¼¥¿Ëè¤Ë 32 bit ¤ÎÀ°¿ô¤Çɽ¤µ¤ì¤Æ¤ª¤ê¡¢  
 Â¿ÇÜĹÀ°¿ô¤Ï 20 ¤È¤Ê¤Ã¤Æ¤¤¤ë¡£  OpenXM µ¬Ìó¤Ç¤Ï¡¢¿ô³ØŪ¥ª¥Ö¥¸¥§¥¯¥È¤òɽ¸½¤¹¤ëÊýË¡¤È¤·¤Æ CMO ·Á¼°(Common
 ¤è¤¯»È¤ï¤ì¤ë¤È»×¤ï¤ì¤ë CMO ·Á¼°¤Î¥¿¥°¤ò¤¢¤²¤Æ¤ª¤¯¡£  Mathematical Object format)¤òÄêµÁ¤·¤Æ¤¤¤ë¡£¤³¤Î CMO ·Á¼°¤Ë¤·¤¿¤¬¤Ã¤¿¥Ç¡¼
   ¥¿¤Ï¡¢¼±Ê̻Ҥ¬ OX\_DATA ¤Ç¤¢¤ë¤è¤¦¤Ê¥á¥Ã¥»¡¼¥¸¤Î¥Ü¥Ç¥£¤Ë¤Ê¤ë¤³¤È¤òÁÛÄꤷ
   ¤Æ¤¤¤ë¡£
   
   CMO ·Á¼°¤Ë¤ª¤±¤ë¥Ç¡¼¥¿¹½Â¤¤Ï¼¡¤Î¤è¤¦¤Ê¹½Â¤¤ò¤â¤Ä¡£
   
   \begin{tabular}{|c|c|} \hline
   ¥Ø¥Ã¥À        & \hspace{10mm} ¥Ü¥Ç¥£ \hspace{10mm} \\ \hline
   \end{tabular}
   
   ¥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¤¬¡¢
   0¤Ç¤â¤è¤¤¡£
   
   ¥á¥Ã¥»¡¼¥¸¤ÈƱÍͤ˥إåÀ¤Ï4¥Ð¥¤¥Èñ°Ì¤Ë´ÉÍý¤µ¤ì¤ë¡£¤¹¤Ê¤ï¤Á¡¢CMO ¤Ç¤Ï¥Ø¥Ã
   ¥À¤Ï°ì¤Ä¤À¤±¤Î¾ðÊó¤ò´Þ¤à¡£¤³¤Î4¥Ð¥¤¥È¤Î¥Ø¥Ã¥À¤Î¤³¤È¤ò¥¿¥°¤È¤â¤¤¤¦¡£¤µ¤Æ¡¢
   CMO ¤Ç¤Ï¡¢¥¿¥°¤Ë¤è¤Ã¤Æ¥Ü¥Ç¥£¤ÎÏÀÍýŪ¹½Â¤¤¬·èÄꤹ¤ë¡£¤¹¤Ê¤ï¤Á¡¢¥¿¥°¤Ï¤½¤ì
   ¤¾¤ì¤Î¥Ç¡¼¥¿¹½Â¤¤È1ÂÐ1¤ËÂбþ¤¹¤ë¼±Ê̻ҤǤ¢¤ë¡£¤½¤ì¤¾¤ì¤ÎÏÀÍýŪ¹½Â¤¤Ï
   \cite{OpenXM-1999} ¤Ë¾Ü½Ò¤µ¤ì¤Æ¤¤¤ë¡£¸½ºß¤Î OpenXM µ¬Ìó¤Ç¤Ï°Ê²¼¤Î CMO ¤¬
   ÄêµÁ¤µ¤ì¤Æ¤¤¤ë¡£
   
 \begin{verbatim}  \begin{verbatim}
 #define CMO_INT32    2 /* 32 ¥Ó¥Ã¥ÈÀ°¿ô */  #define CMO_ERROR2  0x7f000002
 #define CMO_STRING   4 /* ʸ»úÎó        */  #define CMO_NULL    1
 #define CMO_MATHCAP  5 /* mathcap(¸å½Ò) */  #define CMO_INT32   2
 #define CMO_LIST    17 /* ¥ê¥¹¥È¹½Â¤    */  #define CMO_DATUM   3
 #define CMO_ZZ      20 /* ¿ÇÜĹÀ°¿ô    */  #define CMO_STRING  4
   #define CMO_MATHCAP 5
   
   #define CMO_START_SIGNATURE      0x7fabcd03
   #define CMO_ARRAY                16
   #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
   
   #define CMO_INT32COEFF                 30
   #define CMO_DISTRIBUTED_POLYNOMIAL     31
   #define CMO_POLYNOMIAL_IN_ONE_VARIABLE 33
   #define CMO_RATIONAL                   34
   
   #define CMO_64BIT_MACHINE_DOUBLE           40
   #define CMO_ARRAY_OF_64BIT_MACHINE_DOUBLE  41
   #define CMO_128BIT_MACHINE_DOUBLE          42
   #define CMO_ARRAY_OF_128BIT_MACHINE_DOUBLE 43
   
   #define CMO_BIGFLOAT          50
   #define CMO_IEEE_DOUBLE_FLOAT 51
   
   #define CMO_INDETERMINATE 60
   #define CMO_TREE          61
   #define CMO_LAMBDA        62
 \end{verbatim}  \end{verbatim}
   
 ¤³¤³¤Ç 32 bit ¤ÎÀ°¿ô¤Îɽ¸½ÊýË¡¤Ë¤Ä¤¤¤ÆÀâÌÀ¤¹¤ëɬÍפ¬¤¢¤ë¡£  ¤³¤ÎÃæ¤Ç CMO\_INT32, ... ¤Ç¼±Ê̤µ¤ì¤ë¥ª¥Ö¥¸¥§¥¯¥È¤ÏºÇ¤â´ðËÜŪ¤Ê¥ª¥Ö¥¸¥§
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 CMO ·Á¼°¤Î¿ÇÜĹÀ°¿ô¤Ï¡¢ Gnu MP¥é¥¤¥Ö¥é¥êÅù¤ò»²¹Í¤Ë¤·¤Æ¤ª¤ê¡¢  ¤³¤ì¤é¤Ë¤Ä¤¤¤Æ¤Î²òÀâ¤ò¹Ô¤¦Á°¤Ëµ­Ë¡¤Ë¤Ä¤¤¤Æ¡¢¾¯¤·ÀâÌÀ¤·¤Æ¤ª¤¯¡£
 Éä¹çÉÕ¤­ÀäÂÐÃÍɽ¸½¤òÍѤ¤¤Æ¤¤¤ë¡£  ¤³¤ÎÏÀʸ¤Ç¤Ï¡¢Âçʸ»ú¤Ç CMO\_INT32 ¤È½ñ¤¤¤¿¾ì¹ç¤Ë¤Ï¡¢¾åµ­¤ÇÄêµÁ¤·¤¿¼±ÊÌ»Ò
 ¥¿¥°°Ê¹ß¤Î·Á¼°¤Ï¼¡¤Î¤è¤¦¤Ë¤Ê¤ë¡£  ¤òɽ¤ï¤¹¡£¤Þ¤¿ CMO\_INT32 ¤Ç¼±Ê̤µ¤ì¤ë¥ª¥Ö¥¸¥§¥¯¥È¤Î¥¯¥é¥¹(¤¢¤ë¤¤¤Ï¥Ç¡¼
   ¥¿¹½Â¤)¤ò cmo\_int32 ¤È¾®Ê¸»ú¤Çɽ¤ï¤¹¤³¤È¤Ë¤¹¤ë¡£
   
 \begin{tabular}{|c|c|c|c|c|} \hline  ¤µ¤Æ cmo ¤òɽ¸½¤¹¤ë¤¿¤á¤Î°ì¤Ä¤Îµ­Ë¡¤òƳÆþ¤¹¤ë¡£¤³¤Îµ­Ë¡¤Ï CMO expression
 $f$ & $b_0$ & $b_1$ & $\cdots$ & $b_{n-1}$ \\ \hline  ¤È¸Æ¤Ð¤ì¤Æ¤¤¤ë¡£¤½¤ÎÀµ³Î¤Ê·Á¼°ÅªÄêµÁ¤Ï \cite{OpenXM-1999} ¤ò»²¾È¤¹¤ë¤³¤È¡£
 \end{tabular}  
   
 ¤³¤³¤Ç¡¢ 1 ¤Ä¤ÎÏÈ¤Ï 4 ¥Ð¥¤¥È¤òɽ¤·¡¢  ¤Þ¤º CMO expssion ¤Ï Lisp É÷ɽ¸½¤Î°ì¼ï¤Ç¡¢ cmo ¤ò³ç¸Ì¤Ç°Ï¤ó¤À¥ê¥¹¥È¤È¤·
 $f$ ¤ÏÉä¹çÉÕ¤­ 32 ¥Ó¥Ã¥ÈÀ°¿ô¤ò¡¢  ¤Æɽ¸½¤¹¤ë¡£¤½¤ì¤¾¤ì¤ÎÍ×ÁǤϥ«¥ó¥Þ¤Ç¶èÀڤ롣
 $b_0$, $b_1$, $\cdots$, $b_{n-1}$ ¤ÏÉä¹ç¤Ê¤· 32 ¥Ó¥Ã¥ÈÀ°¿ô¤òɽ¤·¤Æ¤¤¤ë¡£  Î㤨¤Ð¡¢
 ¤µ¤é¤Ë¡¢ $|f| = n$ ¤¬À®¤êΩ¤¿¤Ê¤±¤ì¤Ð¤Ê¤é¤Ê¤¤¡£  \begin{quote}
 ¤³¤Î¥ª¥Ö¥¸¥§¥¯¥È¤Ï  (17, {\sl int32}, (CMO\_NULL), (2, {\sl int32} $n$))
 \[ \mbox{sgn}(f) \times \{ b_0 (2^{32})^0 + b_1 (2^{32})^1 + \cdots  \end{quote}
         + b_{n-1} (2^{32})^{n-1} \}     \]  ¤Ï CMO expression ¤Ç¤¢¤ë¡£¤³¤³¤Ç¡¢¾®Ê¸»ú¤Î¼ÐÂΤÇɽ¤µ¤ì¤¿``{\sl int32}''
 ¤È¤¤¤¦À°¿ô¤Ç¤¢¤ë¤ÈÄêµÁ¤µ¤ì¤Æ¤¤¤ë¡£  ¤Ï 4¥Ð¥¤¥È¤ÎǤ°Õ¤Î¥Ç¡¼¥¿¤òɽ¤¹µ­¹æ¤Ç¤¢¤ê¡¢``{\sl int32} $n$'' ¤ÏƱ¤¸¤¯ 4
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         -1      & f<0 \\ \end{array} \right.    \]  
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 $4294967298 = 1 \times 2^{32} + 2$ ¤ò CMO ·Á¼°¤Î  \begin{quote}
 ¥Í¥Ã¥È¥ï¡¼¥¯¥Ð¥¤¥È¥ª¡¼¥À¡¼¡¢Â¿ÇÜĹÀ°¿ô¤Çɽ¸½¤¹¤ë¤È¡¢  cmo\_int32 := (CMO\_INT32,  {\sl int32})
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   {\Huge ƱÍÍ¤Ë cmo\_string, cmo\_list ¤Ê¤É¤òÄêµÁ}
   
   cmo\_string := (CMO\_STRING, {\sl int32}, string)
   
   cmo\_list := (CMO\_LIST, {\sl int32},...
   
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   % \begin{tabular}{|c|c|c|c|c|} \hline
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   % \end{tabular}
   
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   % ¤µ¤é¤Ë¡¢ $|f| = n$ ¤¬À®¤êΩ¤¿¤Ê¤±¤ì¤Ð¤Ê¤é¤Ê¤¤¡£
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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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   %         1       & f>0 \\
   %         0       & f=0 \\
   %         -1      & f<0 \\ \end{array} \right.  \]
   % ¤Ç¤¢¤ë¡£
   
   % ¤³¤³¤Ç¶ñÂÎÎã¤ò¤À¤½¤¦¡£
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 OpenMath ¥×¥í¥¸¥§¥¯¥È¤Ï¿ô³ØŪ¤Ê¥ª¥Ö¥¸¥§¥¯¥È¤ò  \begin{itemize}
 ¥³¥ó¥Ô¥å¡¼¥¿¾å¤Çɽ¸½¤¹¤ëÊýË¡¤ò·èÄꤷ¤Æ¤¤¤ë¡£  \item OpenMath\\
 ³Æ¥½¥Õ¥È¥¦¥§¥¢´Ö¤Ç¥ª¥Ö¥¸¥§¥¯¥È¤ò¸ò´¹¤¹¤ëºÝ¤Î  OpenMath ¥×¥í¥¸¥§¥¯¥È¤Ï¿ô³ØŪ¤Ê¥ª¥Ö¥¸¥§¥¯¥È¤ò¥³¥ó¥Ô¥å¡¼¥¿¾å¤Çɽ¸½¤¹¤ëÊý
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 É½¸½ÊýË¡¤Ï°ì¤Ä¤À¤±¤Ç¤Ê¤¯¡¢ XML ɽ¸½¤ä binary ɽ¸½¤Ê¤É¤¬  ¥È¤ÎÊÑ´¹¼ê½ç¤Ë¤Ä¤Æ¤âÄê¤á¤é¤ì¤Æ¤¤¤ë¡£É½¸½ÊýË¡¤Ï´ö¤Ä¤«¤ÎÃʳ¬¤ÇÄê¤á¤é¤ì¤Æ
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 http://www.openmath.org/omsoc/index.html A.M.Cohen  http://www.openmath.org/omsoc/   A.M.Cohen
   
   \item NetSolve
   
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 http://www.cs.utk.edu/netsolve/  http://www.cs.utk.edu/netsolve/
   
   \item MP
   
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 http://symbolicNet.mcs.kent.edu/SN/areas/protocols/mp.html  http://symbolicNet.mcs.kent.edu/SN/areas/protocols/mp.html
   
   \item MCP
   
 MCP  
   
 http://horse.mcs.kent.edu/~pwang/  http://horse.mcs.kent.edu/~pwang/
   \end{itemize}
   
   
 \section{¸½ºßÄ󶡤µ¤ì¤Æ¤¤¤ë¥½¥Õ¥È¥¦¥§¥¢}  \section{¸½ºßÄ󶡤µ¤ì¤Æ¤¤¤ë¥½¥Õ¥È¥¦¥§¥¢}
   
 ¸½ºß OpenXM µ¬³Ê¤ËÂбþ¤·¤Æ¤¤¤ë¥¯¥é¥¤¥¢¥ó¥È¤Ë¤Ï  ¸½ºß OpenXM µ¬Ìó¤ËÂбþ¤·¤Æ¤¤¤ë¥¯¥é¥¤¥¢¥ó¥È¤Ë¤Ïasir, sm1, Mathematica ¤¬
 asir, 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  ¤¬¤Ç¤­¤ë¡£¸½ºß OpenXM µ¬Ìó¤ËÂбþ¤·¤Æ¤¤¤ë¥µ¡¼¥Ð¥½¥Õ¥È¥¦¥§¥¢¤Ë¤Ï¡¢asir,
 OpenXM µ¬³Ê¤ËÂбþ¤·¤¿¥µ¡¼¥Ð¤ò¸Æ¤Ó½Ð¤¹¤³¤È¤¬¤Ç¤­¤ë¡£  sm1, gnuplot, Mathematica ¤Ê¤É¤¬¤¢¤ê¡¢¤½¤ì¤¾¤ì ox\_asir, ox\_sm1,
 ¸½ºß OpenXM µ¬Ìó¤ËÂбþ¤·¤Æ¤¤¤ë¥µ¡¼¥Ð¥½¥Õ¥È¥¦¥§¥¢¤Ë¤Ï¡¢  ox\_sm1\_gnuplot, ox\_math ¤È¤¤¤¦Ì¾Á°¤ÇÄ󶡤µ¤ì¤Æ¤¤¤ë¡£¤Þ¤¿¡¢ OpenMath
  asir, sm1, gnuplot, Mathematica ¤Ê¤É¤¬¤¢¤ê¡¢  µ¬Ìó¤Î XML ɽ¸½¤Çɽ¸½¤µ¤ì¤¿¥ª¥Ö¥¸¥§¥¯¥È¤È CMO ·Á¼°¤Î¥ª¥Ö¥¸¥§¥¯¥È¤òÊÑ´¹¤¹
 ¤½¤ì¤¾¤ì ox\_asir, ox\_sm1, ox\_sm1\_gnuplot, ox\_math  ¤ë¥½¥Õ¥È¥¦¥§¥¢¤¬ JAVA ¤Ë¤è¤Ã¤Æ¼ÂÁõ¤µ¤ì¤Æ¤ª¤ê¡¢OMproxy ¤È¤¤¤¦Ì¾Á°¤ÇÄ󶡤µ
 ¤È¤¤¤¦Ì¾Á°¤ÇÄ󶡤µ¤ì¤Æ¤¤¤ë¡£  ¤ì¤Æ¤¤¤ë¡£
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 ¥ª¥Ö¥¸¥§¥¯¥È¤òÊÑ´¹¤¹¤ë¥½¥Õ¥È¥¦¥§¥¢¤¬ JAVA ¤Ë¤è¤Ã¤Æ¼ÂÁõ¤µ¤ì¤Æ¤ª¤ê¡¢  
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 \begin{thebibliography}{99}  \begin{thebibliography}{99}
   \bibitem{Ohara-Takayama-Noro-1999}
   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).
 \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 --- Open message eXchange protocol for Mathematics},
 1999/11/22  1999/11/22
 \bibitem{Ohara-Takayama-Noro-1999}  
 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).  
 \end{thebibliography}  \end{thebibliography}
   
 \end{document}  \end{document}

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