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interactive exercises, online calculators and plotters, mathematical recreation and games
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Bezout, ¼ÆËãշתÏà³ý, ×î´ó¹«ÒòÊý, ×îС¹«±¶Êý, Bezout ¹ØÏµ. 
Fourier-Laplace, ¼ÆËã Fourier / Laplace ±ä»»¼°ÆäÄæ. 
¶àÏîʽÄâºÏ, ¸ù¾ÝÇúÏßÕÒ³ö¶àÏîʽ. 
ÇúÃæÖ±¹Ûͼ, »³öÒþº¯Êý±íʾµÄ´úÊýÇúÃæµÄÖ±¹Ûͼ. 
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Èý½ÇÐδò°Ð, µã³öÈý½ÇÐεÄÖÐÐÄ. 
ħÊõ¾ØÐÎ, ħ·½µÄ±äÐÎ. 
Q-Puzzle, puzzle basé sur transformation affine sur un corps fini. 
Á¬·ÖÊý, °ÑʵÊýд³ÉÁ¬·ÖÊý. 
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ÇóºÍ, Çó¸÷ÖÖÓÐÏÞ»òÎÞÇî¼¶ÊýÖ®ºÍ. 
OEF ¾ØÐÎ, ¾ØÐÎÁ·Ï°. 
·´º¯ÊýͼÐÎ, ÈÏʶ·´º¯ÊýµÄͼÐÎ. 
OEF ±ÈÀý, ¹ØÓÚ±ÈÀýµÄÁ·Ï°. 
¶ÔÓ¦, Ó³É䶨ÒåµÄÖ±¹ÛÁ·Ï°. 
OEF ÏßÐÔ·½³Ì×é 2x2, ¹ØÓÚ»ù±¾ÏßÐÔ·½³Ì×é 2x2 µÄÁ·Ï° 
Ñ¡Ôñ¶þ´Î·½³Ì, ÈÏʶ¶þ´Î¶àÏîʽµÄͼÐΡ£. 
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2 άÇÐÏß, ÕÒ³öÆ½ÃæÇúÏßµÄÇÐÏß»ò·¨Ïß. 
ͽÊÖÄâºÏ, ÕÒ³öÒѸøÇúÏßµÄ×î¼Ñ±Æ½ü. 
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Ôº¯ÊýͼÏó, ¸ø³öijº¯ÊýÒ»½×µ¼ÊýµÄͼÏó, »³öÆäÔº¯Êý. ÐèÒªÓõ½java. 
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ÖȵÄÌî³ä, Ìî³äÒ»¸ö¾ØÕóʹËüÓнÏСµÄÖÈ. 
ÇÐÏßÓë²ÎÊý, ¸ø¶¨ÇÐÏßÕÒ³ö¶ÔÓ¦ÇúÏß. 
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²ÎÊýµã, ͨ¹ýµãµÄÒÆ¶¯»²ÎÊýÇúÏß. 
ÐòÁÐ×÷ͼ, ͼ½âÊýÖµÐòÁлò¼¶Êý. 
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¶àÏîʽ¶¯», ¶àÏîʽµÄͼÐÎÓë¸ù, ´øÓж¯»±äÐÎ. 
µÍ½×Ⱥ, СÓÚ 255 ½×ȺµÄÊý¾Ý¿â, ÔÊÐí¼ÆËã×ÓȺºÍÔªËØ, ʹÓà GAP. 
±¾Ô¶àÏîʽ, ÔÚÓÐÏÞÓòÉÏËÑË÷±¾Ô¶àÏîʽ. 
¶àÏîʽ½×, ¼ÆËãÓÐÏÞÓò 
Fp Éϲ»¿ÉÔ¼¶àÏîʽµÄ½×. 
Öû»Èº, ÀûÓà GAP ¼ÆËãÖû»Èº: ¶Ô³Æ¡¢½»´ú¡¢¿ÉǨ¡¢±¾ÔµÈ. 
ÓÐÏÞÓò¼ÆËãÆ÷, ÓÐÏÞÓòÔªËØµÄ¼ÆËã. 
OEF ìØ, Ò»×鹨ÓÚìØµÄÁ·Ï°. 
OEF ±ä³¤Âë, ¹ØÓڱ䳤ÂëµÄÒ»×éÁ·Ï°. 
OEF RSA, Ò»×鹨ÓÚ RSA ÃÜÂëϵͳµÄÁ·Ï°. 
ÄæÏò Huffman, Çó¸ÅÂÊ·Ö²¼Ê¹µÃÒѸøµÄÂëÊÇ×î¼ÑµÄ. 
²¹³ä Hamming Âë, ¹ØÓÚ¸ø¶¨µÄ Hamming ¾àÀëÕÒ³ö¼«´ó¶þ½øÂë. 
ͼÐνâÃÜ, ½âÃÜÓÃÎ±Ëæ»úÐòÁмÓÃܵÄͼÐÎ. 
¾À´íÂë, ÓþÀ´íÂë½âÂ뺬ÓдíÎóµÄÐÅÏ¢. 
OEF ÓÐÏÞÓò, Ò»×鹨ÓÚÓÐÏÞÓòµÄÁ·Ï°. 
·´ÉäÖá, Çó¾ØÕóµÄ·´ÉäÖá, »ò·´Ö®. 
OEF ¶þÖØ»ý·Ö, Ò»×鹨ÓÚ¶þÖØ»ý·ÖµÄÁ·Ï°. 
OEF ÌݶÈ, Ò»×鹨ÓÚÌݶȵÄÁ·Ï°. 
OEF ¶à±äÁ¿º¯Êý, Ò»×鹨ÓÚ¶à±äÁ¿º¯ÊýµÄÁ·Ï°. 
³£Î¢·Ö·½³ÌÏàλͼ, ʶ±ð³£Î¢·Ö·½³ÌÏàλͼ. 
Fourier Õ¹¿ª, º¯Êý Fourier Õ¹¿ªµÄͼÐÎ̽Ë÷. 
OEF ÓÐÏÞÓ³Éä, Ò»×鹨ÓÚÓÐÏÞ¼¯Ö®¼äµÄÓ³ÉäµÄÁ·Ï°. 
OEF µ±ÇÒ½öµ±, ¹ØÓÚ±ØÒª³ä·ÖÌõ¼þµÄÁ·Ï°. 
OEF ¶ÔËùÓеÄ, ÓйØÂß¼Á¿´ÊµÄÁ·Ï°. 
»²ÎÊýÇúÏß, ¸ù¾Ý×ø±êº¯ÊýµÄͼÐλ²ÎÊýÇúÏß, ÐèÒª java. 
²ÎÊý¼âµã, ʹһÌõ²ÎÊýÇúÏßÓмâµã. 
OEF Õý½»¾àÀë, Ò»×鹨ÓÚÕý½»Í¶Ó°ºÍ¾àÀëµÄÁ·Ï°. 
Ñ¡ÔñÀïÈøÈÕÇúÏß, ¸ù¾Ý·½³Ì±æÈÏ Lissajous ÇúÏß»ò·´Ö®. 
Ö±Ï߯½ÃæÏཻ, Ö±Ïß»òÆ½ÃæÖ®¼äµÄÏཻ. 
²ÎÊýÄâºÏ, ÕÒ³ö²ÎÊýÇúÏßµÄ×î¼Ñ±Æ½ü. 
±ä³¤Âë, ÇóÒ»¸ö¾ßÓиø¶¨µÄÂë×Ö³¤¶ÈµÄÂë. 
ÓÐÏÞ»·µÄ±ä»», z/nZÄÚÓüӷ¨ºÍ³Ë·¨×÷±ä»». 
±à³ÌÓÐÏÞËãÊõ, Ê£ÓàÀàËãÊõµÄ±à³ÌÁ·Ï°. 
¿É³ýÐÔ±à³Ì, ¹ØÓÚÕûÊý¿É³ýÐԵıà³ÌÁ·Ï°. 
OEF ×î´ó¹«ÒòÊý, Ò»×鹨ÓÚÕûÊýµÄ gcd ºÍ lcm µÄÁ·Ï°. 
OEF ÕûÊý·Ö½â, Ò»×鹨ÓÚÕûÊýÒòʽ·Ö½âµÄ³õµÈÁ·Ï°. 
OEF ͬÓàËãÊõ, »· Z/nZ ÉϵÄÒ»×éÁ·Ï°. 
ËØÍ¬Óà»ù, ÕÒÒ»¸öËØÊý×÷ΪͬÓà¹ØÏµµÄ»ù. 
»ý·ÖÎÊ´ð, ¹ØÓÚ»ý·ÖµÄ³õµÈÎÊÌâ. 
OEF ³£Î¢·Ö·½³Ì, Ò»×鹨ÓÚ³õµÈ³£Î¢·Ö·½³ÌµÄÁ·Ï°. 
OEF ¼«ÏÞ, ¼«ÏÞ¼ÆËã. 
OEF ¶¨ÒåÇø¼ä, Ò»×鹨ÓÚʵº¯Êý¶¨ÒåÇø¼äµÄÁ·Ï°. 
OEF º¬²ÎÁ¿»ý·Ö, Ò»×鹨ÓÚº¬²ÎÁ¿»ý·ÖµÄÁ·Ï°. 
OEF ÎïÀí»ý·Ö, Ò»×鹨ÓÚµ¥±äÁ¿º¯Êý¶¨»ý·ÖµÄÎïÀíÓ¦ÓõÄÁ·Ï°. 
OEF ¼¸ºÎ»ý·Ö, Ò»×鹨ÓÚµ¥±äÁ¿º¯Êý»ý·Ö¼¸ºÎÓ¦ÓõÄÁ·Ï°. 
OEF ¶¨»ý·Ö, Ò»×鹨ÓÚµ¥±äÁ¿¶¨»ý·ÖµÄÁ·Ï° (ÀíÂÛ¼°¼ÆËã). 
Newton ·¨ÇóÄæ, Óà Newton-Raphson Ëã·¨¼ÆËãÄæº¯ÊýµÄÖµºÍµ¼Êý. 
ÖÐÖµ¶¨ÀíÓ¦ÓÃ, ÕÒ³ö¾ßÓÐÓн絼ÊýµÄº¯ÊýµÄ½ç. 
ʹ·Ö¶Îº¯ÊýÁ¬Ðø, °Ñº¯Êý²ÎÊý»¯Ê¹µÃËüÔÚÁ½¸ö½ÚµãÉÏÁ¬Ðø»ò¿É΢. 
¹ØÏµÍ¼Ïñ, ÒÑÖª·Ö¶ÎÏßÐÔͼ y=f(x), Çó f(x)=f(y) µÄͼÏñ. 
³£Î¢·Ö·½³ÌͼÐÎ, ͨ¹ýͼÐÎʶ±ðÏßÐÔ³£Î¢·Ö·½³ÌµÄ½â. 
Ôº¯ÊýͼÐÎ, ʶ±ðÔº¯Êý(²»¶¨»ý·Ö)µÄͼÏñ. 
µ¼º¯ÊýͼÏñ, ÒÑÖªº¯ÊýͼÏñ, ÒªÇó»³öµ¼º¯ÊýͼÏñ. ÐèÒª java. 
ÄâºÏÒ»¸öÐòÁÐ, ¸ù¾Ý²¿·ÖÐÅÏ¢ÒÔ¼°Öð´ÎÊÔÑéÕÒ³öÐòÁÐ. 
½¨Á¢ÏßÐÔ·½³Ì×é, ¸ù¾ÝÎÊÌ⽨Á¢ÏßÐÔ·½³Ì×é. 
¾ØÕóÂúÖÈ·Ö½â, °ÑÒ»¸ö¾ØÕó·Ö½â³ÉÁ½¸öÂúÖȾØÕóµÄ³Ë»ý. 
¶àÏîʽÎÊ´ð, ¹ØÓÚ¶àÏîʽµÄ³õµÈÎÊÌâ. 
ÏòÁ¿¿Õ¼äÎÊ´ð, ¹ØÓÚÏòÁ¿¿Õ¼äµÄ³õµÈÎÊÌâ. 
ÐÐÁÐʽÎÊ´ð, ¹ØÓÚ¾ØÕóÐÐÁÐʽµÄ³õµÈÎÊÌâ. 
OEF×ӿռ䶨Òå, Ò»×鹨ÓÚÏßÐÔ×ӿռ䶨ÒåµÄÁ·Ï°. 
ÏßÐÔ×Ó¿Õ¼äÁ·Ï°, Ò»×éÓйØÏßÐÔ×Ó¿Õ¼äµÄÁ·Ï°. 
ÐÐÁÐʽÁ·Ï°, Ò»×éÓйط½ÕóÐÐÁÐʽµÄÁ·Ï°. 
ÏßÐÔÏñ, ¼ÆËãÏòÁ¿ÔÚÏßÐÔ»ò·ÂÉä±ä»»ÏµÄÏñ. 
¾ØÕó¶Ô»°, ͨ¹ýÌáÎʵõ½ÐÅÏ¢ÒÔÇó½â¾ØÕó. 
´Ó¸ùÇó¶àÏîʽ, ¸ø³ö¸ùµÄλÖÃÈ·¶¨¶àÏîʽ. 
·ÂÉä¹Ì¶¨µã, ÕÒ³ö·ÂÉä±ä»»µÄ¹Ì¶¨µã. 
×Ó¼¯µÄͼ½â, ͨ¹ýͼÐÎʶ±ð×Ó¼¯. 
OEF ¸ÅÂÊ, Ò»×鹨ÓÚ³õµÈ¸ÅÂʵÄÁ·Ï°. 
OEF ¿Õ¼äµÄ·½³Ì, ¿Õ¼äµÄÖ±Ïß¡¢Æ½Ãæ¡¢ÇúÃæµÄ·½³Ì. 
OEF Äæº¯Êý, Ò»×鹨ÓÚË«Éäʵº¯ÊýµÄÄæº¯ÊýµÄÁ·Ï°. 
OEF »ý·Ö, ¹ØÓÚ»ý·ÖѧµÄÁ·Ï°. 
OEF µ¼Êý, Ò»×鹨ÓÚµ¥±äÁ¿º¯Êýµ¼ÊýµÄÁ·Ï°. 
OEF ·´Èý½Ç, Ò»×éÓйط´Èý½Çº¯ÊýµÄÁ·Ï°. 
ͼ½â³Ë·¨, ´Ó f ºÍ g µÄͼÐÎʶ±ð f(x)g(x) µÈµÄͼÐÎ. 
ͼ½â²»µÈʽ 2D, ʶ±ð²»µÈʽ¶¨ÒåµÄÆ½ÃæÇøÓò. 
ͼ½â¾ø¶ÔÖµ, ´Ó f(x) µÄͼÐÎʶ±ð f(|x|) µÄͼÐεÈ. 
ÉÏϽçÍÆµ¼, º¯ÊýÉÏϽçµÄ»¥¶¯ÍƵ¼Á·Ï°. 
OEF 3άÏòÁ¿, ¹ØÓÚ3άÏòÁ¿µÄÒ»×éÁ·Ï°. 
OEF 2άÏòÁ¿, ¹ØÓÚ2άÏòÁ¿µÄÒ»×éÁ·Ï°. 
OEF ¶àÏîʽ, ¹ØÓÚʵ»ò¸´ÏµÊýµ¥±äÁ¿¶àÏîʽµÄÒ»×éÁ·Ï°. 
OEF ÏßÐÔ·½³Ì×é, Ò»×鹨ÓÚÏßÐÔ·½³Ì×éµÄÁ·Ï°. 
OEF ¸´Êý, Ò»×鹨ÓÚ¸´ÊýµÄÁ·Ï°. 
OEF ×éºÏ, Ò»×鹨ÓÚ×éºÏµÄÊýÖµÁ·Ï°. 
¸´Êýƽ·½¸ù, ÓÃÊó±êµã³ö¸´Êýƽ·½¸ùÁ¢·½¸ùµÈµÄλÖÃ. 
»¸´Êýƽ·½¸ù, »¸´Êýƽ·½¸ù, ÐèÒª java. 
»¸´Êý·½³Ì, ¸´Æ½ÃæÉÏ»·½³Ì, ÐèÒª java / javascript. 
Å×ÎïÏß½¹µãÉä»÷, µã³öÅ×ÎïÏߵĽ¹µã. 
OEF Æ½ÃæÖ±Ïß, Ò»×鹨ÓÚÆ½ÃæÖ±Ïß¼°Æä·½³ÌµÄÁ·Ï°. 
º¯ÊýͼÏñ, ÓÉÒ»¸öº¯ÊýµÄͼÏñ»ÁíÒ»¸öµÄͼÏñ. 
OEF µ¼Êý, ΢·ÖÁ·Ï°. 
ÕýÏÒÄâºÏ, ¸ù¾ÝͼÏñÕÒ³öÏàÓ¦µÄÕýÏÒº¯Êý. 
¸´ÊýÎÊ´ð, ¹ØÓÚ¸´ÊýµÄ³õµÈÎÊÌâ. 
Èý½Ç: È·¶¨º¯Êý, ÀûÓà java È·¶¨Èý½Çº¯ÊýµÄÕýÈ·µÄ±äÁ¿. 
»Íâ½ÓÔ², »Èý½ÇÐεÄÍâ½ÓÔ²µÈ, ÐèÒª java. 
ÐòÁÐÓë¼¶Êý(ÖÐѧ4Äê¼¶), ÐòÁÐÓë¼¶Êý³õ²½. 
²»µÈÊ½ÇøÓò, ¶Ô¸ø¶¨ÇøÓòÀïµÄ±äÁ¿È·¶¨²»µÈʽ. 
²»µÈÊ½ÍÆµ¼ 0, ²»µÈʽµÄ»¥¶¯ÍƵ¼Á·Ï°, »ù±¾ÍƵ¼. 
ͶӰ, ÏòÁ¿ÔÚij¸ö·½ÏòÉϵÄͶӰ»ò·Ö½â. 
OEF Èý½ÇÐÎ, ¹ØÓÚÈý½ÇÐεÄÁ·Ï°. 
²¿·ÖµÈʽ, Ìî³ä½øÒ»¸öµÈʽʹÆä³ÉÁ¢, ÍÏ·ÅÐÍÁ·Ï°. 
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