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à»ç¹Ë¹Ñ§Ê×ͤ³ÔµÈÒʵÃì·ÕèÃǺÃÇÁ»Ñ­ËÒ pursuit-and-escape äÇéÍÂèÒ§¤Ãº¤Ãѹ â´Â Paul J. Nahin ÍÕ¡·Ñé§àµçÁà»ÕèÂÁ´éÇÂÊÕÊѹáÅкÃÃÂÒ¡ÒÈ»ÃÐÇѵÔÈÒʵÃì¤ÇÒÁà»ç¹ÁÒ·ÕèàËÅèҹѡ¤³ÔµÈÒʵÃìËÂԺ¡»Ñ­ËÒàËÅèÒ¹ÕéÁÒ "àÅè¹" ¡Ñ¹ àÃÔèÁµÑé§áµè»Ñ­ËÒ¤ÅÒÊÊÔ¡¢éÍáá·Õè¶×ÍÇèÒà»ç¹µé¹¡Óà¹Ô´¢Í§»Ñ­ËÒËź˹ÕäÅèÅèÒ ¤×ͻѭËÒàÃ×Íâ¨ÃÊÅÑ´äÅèàÃ×;èͤéҢͧ Pierre Bouguer (1698-1758) ¨¹ÁÒ¶Ö§»Ñ­ËÒ¤ÅÒÊÊÔ¡ÊÁÑÂãËÁè ÍÂèÒ§»Ñ­ËÒË­Ô§ÊÒǾÒÂàÃ×Í˹ռÙéªÒÂ㹺֧ ËÃ×ͻѭËÒäÅè¨ÑºÊÔè§·ÕèÁͧäÁèàËç¹ ËÃ×ͻѭËÒ˹ÕÊԧⵢͧ Rado «Ö觻ѭËÒËÅѧ¹ÕéÁÒ¾ÃéÍÁ¡Ñº¤ÓµÍºÍѹªÒ­©ÅÒ´¢Í§â»Ãà¿Êà«ÍÃì Besicovitch ÊÓËÃѺ»Ñ­ËÒ˹ÕÊÔ§âµ Rado µÑ駤ӶÒÁÇèÒ ã¹¾×é¹·Õè¨Ó¡Ñ´Ç§¡ÅÁ ¤¹·Õèà¤Å×è͹·Õè´éÇÂÍѵÃÒàÃçÇà·èҡѺÍѵÃÒàÃçÇÊÔ§âµ ¨ÐËź˹ÕÊÔ§âµ¾é¹ËÃ×ÍäÁè àÁ×èÍÊÔ§âµãªéÇÔ¸ÕäÅèâ´Â¡ÒÃÃÑ¡ÉÒãË鍨´ È.¡. ¢Í§Ç§¡ÅÁ µÑÇàͧ áÅеÑǤ¹ ÁÕÊÁºÑµÔÍÂÙ躹àÊ鹵çà´ÕÂǡѹµÅÍ´àÇÅÒ (¾Ô¨ÒóҷÑ駤¹áÅÐÊÔ§âµà»ç¹¨Ø´) «Ö觤ӵͺ¶Ù¡àª×è͡ѹÁÒ¹Ò¹ÇèÒ¤¹Ë¹ÕäÁèä´é ¡ÃзÑè§ Besicovitch Ëҷҧ˹ÕãË餹ä´éÍÂèÒ§ÊØ´ÂÍ´ (ã¤ÃÍÂÒ¡ÃÙé¤ÓµÍº ËÒº··Õè 4 Seven Classic Evasion Problems ¢Í§Ë¹Ñ§Ê×ÍàÅèÁ¹ÕéÁÒÍèÒ¹¹Ð) ¾×é¹°Ò¹¤³ÔµÈÒʵÃì·ÕèãªéÊÓËÃѺ¼ÙéÍèÒ¹¤×Íá¤Å¤ÙÅÑÊÃдѺÁËÒÇÔ·ÂÒÅÑ¢Ñé¹¾×é¹°Ò¹ â´Â੾ÒÐá¤Å¤ÙÅÑÊã¹ÃÙ»àªÔ§¢ÑéÇ áÅСÒÃá¡éÊÁ¡ÒÃ͹ؾѹ¸ìàÅ硹éÍ Íѹ·Õè¨ÃÔ§¹Ñ¡àÃÕ¹ Á.»ÅÒ ·ÕèäÁèà»ç¹âä¡ÅÑÇÊÁ¡ÒÃáÅоÃéÍÁ·Õè¨ÐàÃÕ¹ÃÙéà¹×éÍËÒà¾ÔèÁàµÔÁÍÕ¡¹Ô´Ë¹èÍ¡çÊÒÁÒöÍèÒ¹ä´é¹Ð¤ÃѺ

ÊÓËÃѺã¤Ã·ÕèÍÂÒ¡ªÔÁ⨷Âìá¹Ç¹ÕéẺ§èÒÂ æ ¼Á¢Í½Ò¡·Ôé§·éÒ´éÇ»ѭËҢͧÁÒÃìµÔ¹ ¡ÒÃì´à¹ÍÃì (·ÕèÊÒÁÒöá¡éä´éâ´ÂäÁèµéͧãªéá¤Å¤ÙÅÑÊ) ¡ÒÃì´à¹ÍÃìºÍ¡ÇèÒÁÕËÁÒ 4 µÑÇÍÂÙè·Õè¨Ø´ÁØÁ¢Í§ÊÕèàËÅÕèÂÁ¨µØÃÑÊ ËÁÒáµèÅеÑǨÐÇÔè§äÅèËÁÒÍÕ¡µÑÇ·ÕèÍÂÙèµÔ´¡ÑºÁѹ㹷Ôȷǹà¢çÁ¹ÒÌÔ¡Ò (ÊÁÁµÔ·Ñé§ÊÕèÁØÁ¤×Í 1 2 3 4 àÃÕ§ǹ㹷Ôȷǹà¢çÁ¹ÒÌÔ¡Ò ¤ÇÒÁËÁÒ¢ͧ⨷Âì¤×Í ËÁÒ 1 äÅèËÁÒ 2, ËÁÒ 2 äÅèËÁÒ 3, ËÁÒ 3 äÅèËÁÒ 4, áÅÐËÁÒ 4 äÅèËÁÒ 1) â´ÂËÁÒ·Ø¡µÑÇÇÔè§ã¹·ÔȾØè§µÃ§ä»ÂѧµÑÇ·ÕèÁѹ¡ÓÅѧäÅèµÅÍ´àÇÅÒ ¶ÒÁÇèÒÃÐÂзҧ·ÕèËÁÒáµèÅеÑÇÇÔè§µÑé§áµèàÃÔèÁ¨¹¨ÑºËÁÒÍÕ¡µÑÇä´éà·èҡѺà·èÒäÃ

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