鍙嬫儏鎻愮ず锛氭湰绔欐彁渚涘叏鍦�400澶氭墍楂樼瓑闄㈡牎鎷涙敹纰╁+銆佸崥澹爺绌剁敓鍏ュ(xu茅)鑰冭│姝峰勾鑰冪爺鐪熼銆佽€冨崥鐪熼銆佺瓟妗�锛岄儴鍒嗗(xu茅)鏍℃洿鏂拌嚦2012骞�锛�2013骞�锛涘潎鎻愪緵鏀惰不(f猫i)涓嬭級銆� 涓嬭級娴佺▼锛� 鑰冪爺鐪熼 榛�(di菐n)鎿娾€�鑰冪爺瑭﹀嵎鈥濃€濅笅杓�; 鑰冨崥鐪熼 榛�(di菐n)鎿娾€�鑰冨崥瑭﹀嵎搴�鈥� 涓嬭級
寰�(f霉)缈�(x铆)绶氭€т唬鏁�(sh霉)瑕佹敞閲嶇煡璀橀粸(di菐n)鐨勯姕鎺ヨ垏杞�(zhu菐n)鎻涖€傜敱浜庣窔鎬т唬鏁�(sh霉)鍚勫€嬮儴鍒嗕箣闁撶殑鑱�(li谩n)绯婚潪甯哥穵瀵�锛岃€屼笖姝峰勾渚嗙殑鑰冮澶у閮芥秹鍙婂埌骞惧€嬮儴鍒嗙殑鍏�(n猫i)瀹�锛屾墍浠ュ京(f霉)缈�(x铆)绶氭€т唬鏁�(sh霉)涓€瀹氳鏈変竴鍊嬫暣楂旀剰璀樸€傝鍒楀紡鍜岀煩闄f槸鍩虹(ch菙)鐭ヨ瓨锛岄倓鏈夊悜閲�銆佹柟绋嬬祫銆佺壒寰佸€肩瓑涓€鐩存槸鑰冮粸(di菐n)銆傚京(f霉)缈�(x铆)瑕佹敞鎰忎互涓嬪咕榛�(di菐n)銆�
涓€銆佹敞閲嶅皪鍩烘湰姒傚康鐨勭悊瑙h垏鎶婃彙锛屾纰虹啛绶撮亱(y霉n)鐢ㄥ熀鏈柟娉曞強鍩烘湰閬�(y霉n)绠椼€�
绶氭€т唬鏁�(sh霉)鐨勬蹇靛緢澶�锛岄噸瑕佺殑鏈夛細浠f暩(sh霉)浣欏瓙寮�锛屼即闅ㄧ煩闄�锛岄€嗙煩闄�锛屽垵绛夎畩鎻涜垏鍒濈瓑鐭╅櫍锛屾浜よ畩鎻涜垏姝d氦鐭╅櫍锛岀З(鐭╅櫍銆佸悜閲忕祫銆佷簩娆″瀷)锛岀瓑鍍�(鐭╅櫍銆佸悜閲忕祫)锛岀窔鎬х祫鍚堣垏绶氭€ц〃鍑�锛岀窔鎬х浉闂�(gu膩n)鑸囩窔鎬х劇闂�(gu膩n)锛屾サ澶х窔鎬х劇闂�(gu膩n)绲�锛屽熀绀�(ch菙)瑙g郴鑸囬€氳В锛岃В鐨勭祼(ji茅)妲�(g貌u)鑸囪В绌洪枔锛岀壒寰佸€艰垏鐗瑰緛鍚戦噺锛岀浉浼艰垏鐩镐技灏嶈鍖�锛屼簩娆″瀷鐨勬(bi膩o)婧�(zh菙n)褰㈣垏瑕�(gu墨)鑼冨舰锛屾瀹�锛屽悎鍚岃畩鎻涜垏鍚堝悓鐭╅櫍銆�
绶氭€т唬鏁�(sh霉)涓亱(y霉n)绠楁硶鍓囧锛屾噳(y墨ng)鏁寸悊娓呮涓嶈娣锋穯锛屽熀鏈亱(y霉n)绠楄垏鍩烘湰鏂规硶瑕侀亷闂�(gu膩n)锛岄噸瑕佺殑鏈夛細琛屽垪寮�(鏁�(sh霉)瀛楀瀷銆佸瓧姣嶅瀷)鐨勮▓绠�锛屾眰閫嗙煩闄�锛屾眰鐭╅櫍鐨勭З锛屾眰鏂归櫍鐨勫啰锛屾眰鍚戦噺绲勭殑绉╄垏妤靛ぇ绶氭€х劇闂�(gu膩n)绲�锛岀窔鎬х浉闂�(gu膩n)鐨勫垽瀹氭垨姹傚弮鏁�(sh霉)锛屾眰鍩虹(ch菙)瑙g郴锛屾眰闈為綂娆$窔鎬ф柟绋嬬祫鐨勯€氳В锛屾眰鐗瑰緛鍊艰垏鐗瑰緛鍚戦噺(瀹氱京娉�锛岀壒寰佸闋呭紡鍩虹(ch菙)瑙g郴娉�)锛屽垽鏂疯垏姹傜浉浼煎皪瑙掔煩闄�锛岀敤姝d氦璁婃彌鍖栧灏嶇ū鐭╅櫍鐐哄皪瑙掔煩闄�(浜﹀嵆鐢ㄦ浜よ畩鎻涘寲浜屾鍨嬬偤妯�(bi膩o)婧�(zh菙n)褰�)銆�
浜屻€佹敞閲嶇煡璀橀粸(di菐n)鐨勯姕鎺ヨ垏杞�(zhu菐n)鎻�锛岀煡璀樿鎴愮恫(w菐ng)锛屽姫鍔涙彁楂樼稖鍚堝垎鏋愯兘鍔�銆�
绶氭€т唬鏁�(sh霉)寰炲収(n猫i)瀹逛笂鐪嬬副姗氦閷�锛屽墠鍚庤伅(li谩n)绯荤穵瀵�锛岀挵(hu谩n)鐠�(hu谩n)鐩告墸锛岀浉浜掓徊閫忥紝鍥犳瑙i鏂规硶闈堟椿澶氳畩锛屽京(f霉)缈�(x铆)鏅傛噳(y墨ng)鐣�(d膩ng)甯稿晱鑷繁鍋氬緱灏嶄笉灏嶏紵鍐嶅晱鍋氬緱濂戒笉濂�锛熷彧鏈変笉鏂峰湴姝哥磵绺界祼(ji茅)锛屽姫鍔涙悶娓呭収(n猫i)鍦ㄨ伅(li谩n)绯伙紝浣挎墍瀛�(xu茅)鐭ヨ瓨铻嶆渻璨€�锛屾帴鍙h垏鍒囧叆榛�(di菐n)澶氫簡锛岀啛鎮変簡锛屾€濊矾鑷劧灏遍枊闂婁簡銆�
渚嬪锛氳ō(sh猫)A鏄痬脳n鐭╅櫍锛孊鏄痭脳s鐭╅櫍锛屼笖AB=0锛岄偅涔堢敤鍒嗗鐭╅櫍鍙煡B鐨勫垪鍚戦噺閮芥槸榻婃鏂圭▼绲凙x=0鐨勮В锛屽啀鏍规摎(j霉)鍩虹(ch菙)瑙g郴鐨勭悊璜栦互鍙婄煩闄g殑绉╄垏鍚戦噺绲勭З鐨勯棞(gu膩n)绯�锛屽彲浠ユ湁r(B)鈮-r(A)鍗硆(A)+r(B)鈮锛岄€�(j矛n)鑰屽彲姹傜煩闄鎴朆涓殑涓€浜涘弮鏁�(sh霉)銆�
鍑℃绋ó锛屾鏄洜鐐虹窔鎬т唬鏁�(sh霉)鍚勭煡璀橀粸(di菐n)涔嬮枔鏈夎憲鍗冪挡钀阜鐨勮伅(li谩n)绯�锛屼唬鏁�(sh霉)椤岀殑缍滃悎鎬ц垏闈堟椿鎬у氨杓冨ぇ锛屽ぇ瀹舵暣鐞嗘檪瑕佹敞閲嶄覆鑱�(li谩n)銆侀姕鎺ヨ垏杞�(zhu菐n)鎻�銆�
涓�銆佹敞閲嶉倧杓€ц垏鏁樿堪琛ㄨ堪
绶氭€т唬鏁�(sh霉)灏嶄簬鎶借薄鎬ц垏閭忚集鎬ф湁杓冮珮鐨勮姹�锛岄€氶亷璀夋槑椤屽彲浠ヤ簡瑙h€冪敓灏嶆暩(sh霉)瀛�(xu茅)涓昏鍘熺悊銆佸畾鐞嗙殑鐞嗚В鑸囨帉鎻$▼搴�锛岃€冩煡鑰冪敓鐨勬娊璞℃€濈董鑳藉姏銆侀倧杓帹鐞嗚兘鍔�銆傚ぇ瀹跺京(f霉)缈�(x铆)鏁寸悊鏅�锛屾噳(y墨ng)鐣�(d膩ng)鎼炴竻鍏紡銆佸畾鐞嗘垚绔嬬殑姊濅欢锛屼笉鑳藉嫉鍐犳潕鎴�锛屽悓鏅傞倓鎳�(y墨ng)娉ㄦ剰瑾炶█鐨勬晿杩拌〃閬�(d谩)鎳�(y墨ng)婧�(zh菙n)纰恒€佺啊鏄�銆�
鎳�(y墨ng)瑭茶鑰冪爺鏁�(sh霉)瀛�(xu茅)鏈€绨″柈鐨勯儴鍒嗗氨鏄窔鎬т唬鏁�(sh霉)锛岄€欓儴鍒嗙殑闆i粸(di菐n)灏卞湪浜庢蹇甸潪甯稿鑰屼笖鐩镐簰鑱�(li谩n)绯�锛屼絾绶氫唬璨┛鐨勪富绶氬氨鏄眰鏂圭▼绲勭殑瑙o紝鍙灏囨柟绋嬬祫鐨勮В鐨勬蹇靛拰涓€鑸柟娉曠悊瑙i€忓竟锛屽啀鍥為亷闋湅鍓嶉潰鐨勫収(n猫i)瀹瑰氨闈炲父绨″柈銆傚悓鏅傚緸鑰冭│鍏�(n猫i)瀹逛締鐪嬶紝鑰冪殑鍏�(n猫i)瀹瑰熀鏈浼�锛屽彲浠ヨ鏄渶姝荤殑閮ㄥ垎锛岄€欏咕骞村嚭鐨勮€冭│椤屽闅涗笂灏辨槸浠ュ墠鑰冮鐨勭炕鐗�锛屼粩绱�(x矛)灏堢爺涓€涓嬩互鍓嶈€冮灏嶅ぇ瀹舵槸鏈€鏈夊ソ铏曠殑銆�
鍏嶈铂(z茅)鑱叉槑锛氭湰鏂囩郴杞�(zhu菐n)杓夎嚜缍�(w菐ng)绲�(lu貌)锛屽鏈変镜鐘�锛岃珛鑱�(li谩n)绯绘垜鍊戠珛鍗冲埅闄わ紝鍙︼細鏈枃鍍呬唬琛ㄤ綔鑰呭€嬩汉瑙€榛�(di菐n)锛岃垏鏈恫(w菐ng)绔欑劇闂�(gu膩n)銆傚叾鍘熷壍(chu脿ng)鎬т互鍙婃枃涓櫝杩版枃瀛楀拰鍏�(n猫i)瀹规湭缍�(j墨ng)鏈珯璀夊锛屽皪鏈枃浠ュ強鍏朵腑鍏ㄩ儴鎴栬€呴儴鍒嗗収(n猫i)瀹广€佹枃瀛楃殑鐪熷鎬�銆佸畬鏁存€�銆佸強鏅傛€ф湰绔欎笉浣滀换浣曚繚璀夋垨鎵胯锛岃珛璁€鑰呭儏浣滃弮鑰冿紝骞惰珛鑷鏍稿鐩搁棞(gu膩n)鍏�(n猫i)瀹�銆�