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锛堜簩锛夋暀鑲茬殑绀炬渻(hu矛)鍔熻兘
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1銆佸嚱鏁�(sh霉)銆佹サ闄�銆侀€g簩(x霉)
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鏁�(sh霉)鍒楁サ闄愯垏鍑芥暩(sh霉)妤甸檺鐨勫畾缇╁強鍏舵€ц唱(zh矛)銆€鍑芥暩(sh霉)鐨勫乏妤甸檺鍜屽彸妤甸檺銆€鐒�(w煤)绐皬閲忓拰鐒�(w煤)绐ぇ閲忕殑姒傚康鍙婂叾闂�(gu膩n)绯汇€€鐒�(w煤)绐皬閲忕殑鎬ц唱(zh矛)鍙婄劇(w煤)绐皬閲忕殑姣旇純銆€妤甸檺鐨勫洓鍓囬亱(y霉n)绠椼€€妤甸檺瀛樺湪鐨勫叐鍊�(g猫)婧�(zh菙n)鍓囷細?ji菐n)鎻(di脿o)鏈夌晫婧�(zh菙n)鍓囧拰澶鹃€兼簴(zh菙n)鍓囥€€鍏╁€�(g猫)閲嶈妤甸檺:
鍑芥暩(sh霉)閫g簩(x霉)鐨勬蹇点€€鍑芥暩(sh霉)闁撴柗榛�(di菐n)鐨勯(l猫i)鍨嬨€€鍒濈瓑鍑芥暩(sh霉)鐨勯€g簩(x霉)鎬с€€闁夊崁(q奴)闁撲笂閫g簩(x霉)鍑芥暩(sh霉)鐨勬€ц唱(zh矛)
鑰冭│瑕佹眰
锛�1锛夌悊瑙e嚱鏁�(sh霉)鐨勬蹇�锛屾帉鎻″嚱鏁�(sh霉)鐨勮〃绀烘硶锛屾渻(hu矛)寤虹珛鎳�(y墨ng)鐢ㄥ晱(w猫n)椤岀殑鍑芥暩(sh霉)闂�(gu膩n)绯�.
锛�2锛変簡瑙e嚱鏁�(sh霉)鐨勬湁鐣屾€�銆佸柈瑾�(di脿o)鎬�銆佸懆鏈熸€у拰濂囧伓鎬э紟
锛�3锛夌悊瑙e京(f霉)鍚堝嚱鏁�(sh霉)鍙婂垎娈靛嚱鏁�(sh霉)鐨勬蹇�锛屼簡瑙e弽鍑芥暩(sh霉)鍙婇毐鍑芥暩(sh霉)鐨勬蹇碉紟
锛�4锛夋帉鎻″熀鏈垵绛夊嚱鏁�(sh霉)鐨勬€ц唱(zh矛)鍙婂叾鍦栧舰锛屼簡瑙e垵绛夊嚱鏁�(sh霉)鐨勬蹇�.
锛�5锛夌悊瑙fサ闄愮殑姒傚康锛岀悊瑙e嚱鏁�(sh霉)宸︽サ闄愯垏鍙虫サ闄愮殑姒傚康浠ュ強鍑芥暩(sh霉)妤甸檺瀛樺湪鑸囧乏銆佸彸妤甸檺涔嬮枔鐨勯棞(gu膩n)绯伙紟
锛�6锛夋帉鎻℃サ闄愮殑鎬ц唱(zh矛)鍙婂洓鍓囬亱(y霉n)绠楁硶鍓�.
锛�7锛夋帉鎻℃サ闄愬瓨鍦ㄧ殑鍏╁€�(g猫)婧�(zh菙n)鍓�锛屽苟鏈�(hu矛)鍒╃敤瀹冨€戞眰妤甸檺锛屾帉鎻″埄鐢ㄥ叐鍊�(g猫)閲嶈妤甸檺姹傛サ闄愮殑鏂规硶锛�
锛�8锛夌悊瑙g劇(w煤)绐皬閲�銆佺劇(w煤)绐ぇ閲忕殑姒傚康锛屾帉鎻$劇(w煤)绐皬閲忕殑姣旇純鏂规硶锛屾渻(hu矛)鐢ㄧ瓑鍍�(ji脿)鐒�(w煤)绐皬閲忔眰妤甸檺锛�
锛�9锛夌悊瑙e嚱鏁�(sh霉)閫g簩(x霉)鎬х殑姒傚康锛堝惈宸﹂€g簩(x霉)鑸囧彸閫g簩(x霉)锛�锛屾渻(hu矛)鍒ゅ垾鍑芥暩(sh霉)闁撴柗榛�(di菐n)鐨勯(l猫i)鍨嬶紟
锛�10锛変簡瑙i€g簩(x霉)鍑芥暩(sh霉)鐨勬€ц唱(zh矛)鍜屽垵绛夊嚱鏁�(sh霉)鐨勯€g簩(x霉)鎬�锛岀悊瑙i枆鍗€(q奴)闁撲笂閫g簩(x霉)鍑芥暩(sh霉)鐨勬€ц唱(zh矛)锛堟湁鐣屾€�銆佹渶澶у€煎拰鏈€灏忓€煎畾鐞�銆佷粙鍊煎畾鐞嗭級锛屽苟鏈�(hu矛)鎳�(y墨ng)鐢ㄩ€欎簺鎬ц唱(zh矛)锛�
2銆佷竴鍏冨嚱鏁�(sh霉)寰垎瀛�(xu茅)
鑰冭│鍏�(n猫i)瀹�
灏�(d菐o)鏁�(sh霉)鍜屽井鍒嗙殑姒傚康銆€灏�(d菐o)鏁�(sh霉)鐨勫咕浣曟剰缇╁拰鐗╃悊鎰忕京銆€鍑芥暩(sh霉)鐨勫彲灏�(d菐o)鎬ц垏閫g簩(x霉)鎬т箣闁撶殑闂�(gu膩n)绯汇€€骞抽潰鏇茬窔鐨勫垏绶氬拰娉曠窔銆€灏�(d菐o)鏁�(sh霉)鍜屽井鍒嗙殑鍥涘墖閬�(y霉n)绠� 鍩烘湰鍒濈瓑鍑芥暩(sh霉)鐨勫皫(d菐o)鏁�(sh霉)銆€寰�(f霉)鍚堝嚱鏁�(sh霉)銆佸弽鍑芥暩(sh霉)銆侀毐鍑芥暩(sh霉)浠ュ強鍙冩暩(sh霉)鏂圭▼鎵€纰哄畾鐨勫嚱鏁�(sh霉)鐨勫井鍒嗘硶銆€楂橀殠灏�(d菐o)鏁�(sh霉) 涓€闅庡井鍒嗗舰寮忕殑涓嶈畩鎬с€€寰垎涓€煎畾鐞嗐€€娲涘繀閬�(d谩)锛圠鈥橦ospital锛夋硶鍓囥€€鍑芥暩(sh霉)鍠(di脿o)鎬х殑鍒ゅ垾 鍑芥暩(sh霉)鐨勬サ鍊笺€€鍑芥暩(sh霉)鍦栧舰鐨勫嚬鍑告€�銆佹嫄榛�(di菐n)鍙婃几杩戠窔銆€鍑芥暩(sh霉)鍦栧舰鐨勬弿绻€€鍑芥暩(sh霉)鐨勬渶澶у€艰垏鏈€灏忓€笺€€寮у井鍒嗐€€鏇茬巼鐨勬蹇点€€鏇茬巼鍦撹垏鏇茬巼鍗婂緫
鑰冭│瑕佹眰
锛�1锛夌悊瑙e皫(d菐o)鏁�(sh霉)鍜屽井鍒嗙殑姒傚康锛岀悊瑙e皫(d菐o)鏁�(sh霉)鑸囧井鍒嗙殑闂�(gu膩n)绯�锛岀悊瑙e皫(d菐o)鏁�(sh霉)鐨勫咕浣曟剰缇�锛屾渻(hu矛)姹傚钩闈㈡洸绶氱殑鍒囩窔鏂圭▼鍜屾硶绶氭柟绋嬶紝浜嗚В灏�(d菐o)鏁�(sh霉)鐨勭墿鐞嗘剰缇�锛屾渻(hu矛)鐢ㄥ皫(d菐o)鏁�(sh霉)鎻忚堪涓€浜涚墿鐞嗛噺锛岀悊瑙e嚱鏁�(sh霉)鐨勫彲灏�(d菐o)鎬ц垏閫g簩(x霉)鎬т箣闁撶殑闂�(gu膩n)绯伙紟
锛�2锛夋帉鎻″皫(d菐o)鏁�(sh霉)鐨勫洓鍓囬亱(y霉n)绠楁硶鍓囧拰寰�(f霉)鍚堝嚱鏁�(sh霉)鐨勬眰灏�(d菐o)娉曞墖锛屾帉鎻″熀鏈垵绛夊嚱鏁�(sh霉)鐨勫皫(d菐o)鏁�(sh霉)鍏紡锛庝簡瑙e井鍒嗙殑鍥涘墖閬�(y霉n)绠楁硶鍓囧拰涓€闅庡井鍒嗗舰寮忕殑涓嶈畩鎬э紝鏈�(hu矛)姹傚嚱鏁�(sh霉)鐨勫井鍒嗭紟
锛�3锛変簡瑙i珮闅庡皫(d菐o)鏁�(sh霉)鐨勬蹇�锛屾渻(hu矛)姹傜啊(ji菐n)鍠嚱鏁�(sh霉)鐨勯珮闅庡皫(d菐o)鏁�(sh霉)锛�
锛�4锛夋渻(hu矛)姹傚垎娈靛嚱鏁�(sh霉)鐨勫皫(d菐o)鏁�(sh霉)锛屾渻(hu矛)姹傞毐鍑芥暩(sh霉)鍜岀敱鍙冩暩(sh霉)鏂圭▼鎵€纰哄畾鐨勫嚱鏁�(sh霉)浠ュ強鍙嶅嚱鏁�(sh霉)鐨勫皫(d菐o)鏁�(sh霉).
锛�5锛夌悊瑙e苟鏈�(hu矛)鐢ㄧ緟鐖�(Rolle)瀹氱悊銆佹媺鏍兼湕鏃�(Lagrange)涓€煎畾鐞嗗拰娉板嫆(Taylor)瀹氱悊锛屼簡瑙e苟鏈�(hu矛)鐢ㄦ煰瑗�(Cauchy)涓€煎畾鐞嗭紟
锛�6锛夋帉鎻$敤娲涘繀閬�(d谩)娉曞墖姹傛湭瀹氬紡妤甸檺鐨勬柟娉曪紟
锛�7锛夌悊瑙e嚱鏁�(sh霉)鐨勬サ鍊兼蹇碉紝鎺屾彙鐢ㄥ皫(d菐o)鏁�(sh霉)鍒ゆ柗鍑芥暩(sh霉)鐨勫柈瑾�(di脿o)鎬у拰姹傚嚱鏁�(sh霉)妤靛€肩殑鏂规硶锛屾帉鎻″嚱鏁�(sh霉)鏈€澶у€煎拰鏈€灏忓€肩殑姹傛硶鍙婂叾鎳�(y墨ng)鐢紟
锛�8锛夋渻(hu矛)鐢ㄥ皫(d菐o)鏁�(sh霉)鍒ゆ柗鍑芥暩(sh霉)鍦栧舰鐨勫嚬鍑告€э紙娉細鍦ㄥ崁(q奴)闁� 鍏�(n猫i)锛岃ō(sh猫)鍑芥暩(sh霉) 鍏锋湁浜岄殠灏�(d菐o)鏁�(sh霉)銆傜暥(d膩ng) 鏅�(sh铆)锛� 鐨勫湒褰㈡槸鍑圭殑锛涚暥(d膩ng) 鏅�(sh铆)锛� 鐨勫湒褰㈡槸鍑哥殑锛�锛屾渻(hu矛)姹傚嚱鏁�(sh霉)鍦栧舰鐨勬嫄榛�(di菐n)浠ュ強姘村钩銆侀墰鐩村拰鏂滄几杩戠窔锛屾渻(hu矛)鎻忕躬鍑芥暩(sh霉)鐨勫湒褰紟
锛�9锛変簡瑙f洸鐜�銆佹洸鐜囧湏鑸囨洸鐜囧崐寰戠殑姒傚康锛屾渻(hu矛)瑷�(j矛)绠楁洸鐜囧拰鏇茬巼鍗婂緫锛�
3銆佷竴鍏冨嚱鏁�(sh霉)绌嶅垎瀛�(xu茅)
鑰冭│鍏�(n猫i)瀹�
鍘熷嚱鏁�(sh霉)鍜屼笉瀹氱⿳鍒嗙殑姒傚康銆€涓嶅畾绌嶅垎鐨勫熀鏈€ц唱(zh矛)銆€鍩烘湰绌嶅垎鍏紡銆€瀹氱⿳鍒嗙殑姒傚康鍜屽熀鏈€ц唱(zh矛)銆€瀹氱⿳鍒嗕腑鍊煎畾鐞嗐€€绌嶅垎涓婇檺鐨勫嚱鏁�(sh霉)鍙婂叾灏�(d菐o)鏁�(sh霉)銆€鐗涢爴-钀婂竷灏艰尐锛圢ewton-Leibniz锛夊叕寮忋€€涓嶅畾绌嶅垎鍜屽畾绌嶅垎鐨勬彌鍏冪⿳鍒嗘硶鑸囧垎閮ㄧ⿳鍒嗘硶銆€鏈夌悊鍑芥暩(sh霉)銆佷笁瑙掑嚱鏁�(sh霉)鐨勬湁鐞嗗紡鍜岀啊(ji菐n)鍠劇(w煤)鐞嗗嚱鏁�(sh霉)鐨勭⿳鍒嗐€€鍙嶅父锛堝唬缇╋級绌嶅垎銆€瀹氱⿳鍒嗙殑鎳�(y墨ng)鐢�
鑰冭│瑕佹眰
锛�1锛夌悊瑙e師鍑芥暩(sh霉)鐨勬蹇碉紝鐞嗚В涓嶅畾绌嶅垎鍜屽畾绌嶅垎鐨勬蹇碉紟
锛�2锛夋帉鎻′笉瀹氱⿳鍒嗙殑鍩烘湰鍏紡锛屾帉鎻′笉瀹氱⿳鍒嗗拰瀹氱⿳鍒嗙殑鎬ц唱(zh矛)鍙婂畾绌嶅垎涓€煎畾鐞嗭紝鎺屾彙鎻涘厓绌嶅垎娉曡垏鍒嗛儴绌嶅垎娉曪紟
锛�3锛夋渻(hu矛)姹傛湁鐞嗗嚱鏁�(sh霉)銆佷笁瑙掑嚱鏁�(sh霉)鏈夌悊寮忓拰绨�(ji菐n)鍠劇(w煤)鐞嗗嚱鏁�(sh霉)鐨勭⿳鍒嗭紟
锛�4锛夌悊瑙g⿳鍒嗕笂闄愮殑鍑芥暩(sh霉)锛屾渻(hu矛)姹傚畠鐨勫皫(d菐o)鏁�(sh霉)锛屾帉鎻$墰闋�-钀婂竷灏艰尐鍏紡锛�
锛�5锛変簡瑙e弽甯哥⿳鍒嗙殑姒傚康锛屾渻(hu矛)瑷�(j矛)绠楀弽甯哥⿳鍒嗭紟
锛�6锛夋帉鎻$敤瀹氱⿳鍒嗚〃閬�(d谩)鍜岃▓(j矛)绠椾竴浜涘咕浣曢噺鑸囩墿鐞嗛噺锛堝钩闈㈠湒褰㈢殑闈㈢⿳銆佸钩闈㈡洸绶氱殑寮ч暦(zh菐ng)銆佹棆杞�(zhu菐n)楂旂殑楂旂⿳鍙婂伌(c猫)闈㈢⿳銆佸钩琛屾埅闈㈤潰绌嶇偤宸茬煡鐨勭珛楂旈珨绌�銆佸姛銆佸紩鍔�銆佸鍔�銆佽唱(zh矛)蹇�銆佸舰蹇冪瓑锛夊強鍑芥暩(sh霉)鐨勫钩鍧囧€硷紟
4銆佸悜閲忎唬鏁�(sh霉)鍜岀┖闁撹В鏋愬咕浣�
鑰冭│鍏�(n猫i)瀹�
鍚戦噺鐨勬蹇点€€鍚戦噺鐨勭窔鎬ч亱(y霉n)绠椼€€鍚戦噺鐨勬暩(sh霉)閲忕⿳鍜屽悜閲忕⿳銆€鍚戦噺鐨勬贩鍚堢⿳銆€鍏╁悜閲忓瀭鐩�銆佸钩琛岀殑姊濅欢銆€鍏╁悜閲忕殑澶捐銆€鍚戦噺鐨勫潗妯�(bi膩o)琛ㄩ仈(d谩)寮忓強鍏堕亱(y霉n)绠椼€€鍠綅鍚戦噺銆€鏂瑰悜鏁�(sh霉)鑸囨柟鍚戜綑寮︺€€鏇查潰鏂圭▼鍜岀┖闁撴洸绶氭柟绋嬬殑姒傚康銆€骞抽潰鏂圭▼ 鐩寸窔鏂圭▼銆€骞抽潰鑸囧钩闈€€佸钩闈㈣垏鐩寸窔銆佺洿绶氳垏鐩寸窔鐨勫ぞ瑙掍互鍙婂钩琛�銆佸瀭鐩寸殑姊濅欢銆€榛�(di菐n)鍒板钩闈㈠拰榛�(di菐n)鍒扮洿绶氱殑璺濋洟銆€鐞冮潰銆€鏌遍潰銆€鏃嬭綁(zhu菐n)鏇查潰銆€甯哥敤鐨勪簩娆℃洸闈㈡柟绋嬪強鍏跺湒褰€€€绌洪枔鏇茬窔鐨勫弮鏁�(sh霉)鏂圭▼鍜屼竴鑸柟绋嬨€€绌洪枔鏇茬窔鍦ㄥ潗妯�(bi膩o)闈笂鐨勬姇褰辨洸绶氭柟绋�
鑰冭│瑕佹眰
锛�1锛夌悊瑙g┖闁撶洿瑙掑潗妯�(bi膩o)绯�锛岀悊瑙e悜閲忕殑姒傚康鍙婂叾琛ㄧず.
锛�2锛夋帉鎻″悜閲忕殑閬�(y霉n)绠楋紙绶氭€ч亱(y霉n)绠�銆佹暩(sh霉)閲忕⿳銆佸悜閲忕⿳銆佹贩鍚堢⿳锛夛紝浜嗚В鍏╁€�(g猫)鍚戦噺鍨傜洿銆佸钩琛岀殑姊濅欢.
锛�3锛夌悊瑙e柈浣嶅悜閲�銆佹柟鍚戞暩(sh霉)鑸囨柟鍚戜綑寮�銆佸悜閲忕殑鍧愭(bi膩o)琛ㄩ仈(d谩)寮忥紝鎺屾彙鐢ㄥ潗妯�(bi膩o)琛ㄩ仈(d谩)寮忛€�(j矛n)琛屽悜閲忛亱(y霉n)绠楃殑鏂规硶.
锛�4锛夋帉鎻″钩闈㈡柟绋嬪拰鐩寸窔鏂圭▼鍙婂叾姹傛硶.
锛�5锛夋渻(hu矛)姹傚钩闈㈣垏骞抽潰銆佸钩闈㈣垏鐩寸窔銆佺洿绶氳垏鐩寸窔涔嬮枔鐨勫ぞ瑙�锛屽苟鏈�(hu矛)鍒╃敤骞抽潰銆佺洿绶氱殑鐩镐簰闂�(gu膩n)绯伙紙骞宠銆佸瀭鐩淬€佺浉浜ょ瓑锛夎В姹烘湁闂�(gu膩n)鍟�(w猫n)椤�.
锛�6锛夋渻(hu矛)姹傞粸(di菐n)鍒扮洿绶氫互鍙婇粸(di菐n)鍒板钩闈㈢殑璺濋洟.
锛�7锛変簡瑙f洸闈㈡柟绋嬪拰绌洪枔鏇茬窔鏂圭▼鐨勬蹇�.
锛�8锛変簡瑙e父鐢ㄤ簩娆℃洸闈㈢殑鏂圭▼鍙婂叾鍦栧舰锛屾渻(hu矛)姹傜啊(ji菐n)鍠殑鏌遍潰鍜屾棆杞�(zhu菐n)鏇查潰鐨勬柟绋�.
锛�9锛変簡瑙g┖闁撴洸绶氱殑鍙冩暩(sh霉)鏂圭▼鍜屼竴鑸柟绋�.浜嗚В绌洪枔鏇茬窔鍦ㄥ潗妯�(bi膩o)骞抽潰涓婄殑鎶曞奖锛屽苟鏈�(hu矛)姹傝┎鎶曞奖鏇茬窔鐨勬柟绋�.
5銆佸鍏冨嚱鏁�(sh霉)寰垎瀛�(xu茅)
鑰冭│鍏�(n猫i)瀹�
澶氬厓鍑芥暩(sh霉)鐨勬蹇点€€浜屽厓鍑芥暩(sh霉)鐨勫咕浣曟剰缇┿€€浜屽厓鍑芥暩(sh霉)鐨勬サ闄愯垏閫g簩(x霉)鐨勬蹇� 鏈夌晫闁夊崁(q奴)鍩熶笂澶氬厓閫g簩(x霉)鍑芥暩(sh霉)鐨勬€ц唱(zh矛)銆€澶氬厓鍑芥暩(sh霉)鐨勫亸灏�(d菐o)鏁�(sh霉)鍜屽叏寰垎銆€鍏ㄥ井鍒嗗瓨鍦ㄧ殑蹇呰姊濅欢鍜屽厖鍒嗘浠� 澶氬厓寰�(f霉)鍚堝嚱鏁�(sh霉)銆侀毐鍑芥暩(sh霉)鐨勬眰灏�(d菐o)娉� 浜岄殠鍋忓皫(d菐o)鏁�(sh霉)銆€鏂瑰悜?q奴)顫�?sh霉)鍜屾搴︺€€绌洪枔鏇茬窔鐨勫垏绶氬拰娉曞钩闈€€€鏇查潰鐨勫垏骞抽潰鍜屾硶绶氥€€浜屽厓鍑芥暩(sh霉)鐨勪簩闅庢嘲鍕掑叕寮忋€€澶氬厓鍑芥暩(sh霉)鐨勬サ鍊煎拰姊濅欢妤靛€笺€€澶氬厓鍑芥暩(sh霉)鐨勬渶澶у€�銆佹渶灏忓€煎強鍏剁啊(ji菐n)鍠噳(y墨ng)鐢�
鑰冭│瑕佹眰
锛�1锛夌悊瑙e鍏冨嚱鏁�(sh霉)鐨勬蹇�锛岀悊瑙d簩鍏冨嚱鏁�(sh霉)鐨勫咕浣曟剰缇�.
锛�2锛変簡瑙d簩鍏冨嚱鏁�(sh霉)鐨勬サ闄愯垏閫g簩(x霉)鐨勬蹇典互鍙婃湁鐣岄枆鍗€(q奴)鍩熶笂閫g簩(x霉)鍑芥暩(sh霉)鐨勬€ц唱(zh矛).
锛�3锛夌悊瑙e鍏冨嚱鏁�(sh霉)鍋忓皫(d菐o)鏁�(sh霉)鍜屽叏寰垎鐨勬蹇�锛屾渻(hu矛)姹傚叏寰垎锛屼簡瑙e叏寰垎瀛樺湪鐨勫繀瑕佹浠跺拰鍏呭垎姊濅欢锛屼簡瑙e叏寰垎褰㈠紡鐨勪笉璁婃€�.
锛�4锛夌悊瑙f柟鍚�?q奴)顫�?sh霉)鑸囨搴︾殑姒傚康锛屽苟鎺屾彙鍏惰▓(j矛)绠楁柟娉�.
锛�5锛夋帉鎻″鍏冨京(f霉)鍚堝嚱鏁�(sh霉)涓€闅�銆佷簩闅庡亸灏�(d菐o)鏁�(sh霉)鐨勬眰娉�.
锛�6锛変簡瑙i毐鍑芥暩(sh霉)瀛樺湪瀹氱悊锛屾渻(hu矛)姹傚鍏冮毐鍑芥暩(sh霉)鐨勫亸灏�(d菐o)鏁�(sh霉).
锛�7锛変簡瑙g┖闁撴洸绶氱殑鍒囩窔鍜屾硶骞抽潰鍙婃洸闈㈢殑鍒囧钩闈㈠拰娉曠窔鐨勬蹇�锛屾渻(hu矛)姹傚畠鍊戠殑鏂圭▼.
锛�8锛変簡瑙d簩鍏冨嚱鏁�(sh霉)鐨勪簩闅庢嘲鍕掑叕寮�.
锛�9锛夌悊瑙e鍏冨嚱鏁�(sh霉)妤靛€煎拰姊濅欢妤靛€肩殑姒傚康锛屾帉鎻″鍏冨嚱鏁�(sh霉)妤靛€煎瓨鍦ㄧ殑蹇呰姊濅欢锛屼簡瑙d簩鍏冨嚱鏁�(sh霉)妤靛€煎瓨鍦ㄧ殑鍏呭垎姊濅欢锛屾渻(hu矛)姹備簩鍏冨嚱鏁�(sh霉)鐨勬サ鍊�锛屾渻(hu矛)鐢ㄦ媺鏍兼湕鏃ヤ箻鏁�(sh霉)娉曟眰姊濅欢妤靛€�锛屾渻(hu矛)姹傜啊(ji菐n)鍠鍏冨嚱鏁�(sh霉)鐨勬渶澶у€煎拰鏈€灏忓€�锛屽苟鏈�(hu矛)瑙f焙涓€浜涚啊(ji菐n)鍠殑鎳�(y墨ng)鐢ㄥ晱(w猫n)椤�.
6銆佸鍏冨嚱鏁�(sh霉)绌嶅垎瀛�(xu茅)
鑰冭│鍏�(n猫i)瀹�
浜岄噸绌嶅垎鑸囦笁閲嶇⿳鍒嗙殑姒傚康銆佹€ц唱(zh矛)銆佽▓(j矛)绠楀拰鎳�(y墨ng)鐢ㄣ€€鍏╅(l猫i)鏇茬窔绌嶅垎鐨勬蹇�銆佹€ц唱(zh矛)鍙婅▓(j矛)绠椼€€鍏╅(l猫i)鏇茬窔绌嶅垎鐨勯棞(gu膩n)绯汇€€鏍兼灄锛圙reen锛夊叕寮忋€€骞抽潰鏇茬窔绌嶅垎鑸囪矾寰戠劇(w煤)闂�(gu膩n)鐨勬浠躲€€浜屽厓鍑芥暩(sh霉)鍏ㄥ井鍒嗙殑鍘熷嚱鏁�(sh霉)銆€鍏╅(l猫i)鏇查潰绌嶅垎鐨勬蹇�銆佹€ц唱(zh矛)鍙婅▓(j矛)绠� 鍏╅(l猫i)鏇查潰绌嶅垎鐨勯棞(gu膩n)绯汇€€楂樻柉锛圙auss锛夊叕寮忋€€鏂墭鍏嬫柉锛圫tokes)鍏紡銆€鏁e害銆佹棆搴︾殑姒傚康鍙婅▓(j矛)绠� 鏇茬窔绌嶅垎鍜屾洸闈㈢⿳鍒嗙殑鎳�(y墨ng)鐢�
鑰冭│瑕佹眰
锛�1锛夌悊瑙d簩閲嶇⿳鍒嗐€佷笁閲嶇⿳鍒嗙殑姒傚康锛屼簡瑙i噸绌嶅垎鐨勬€ц唱(zh矛)锛屼簡瑙d簩閲嶇⿳鍒嗙殑涓€煎畾鐞�.
锛�2锛夋帉鎻′簩閲嶇⿳鍒嗙殑瑷�(j矛)绠楁柟娉曪紙鐩磋鍧愭(bi膩o)銆佹サ鍧愭(bi膩o)锛�锛屾渻(hu矛)瑷�(j矛)绠椾笁閲嶇⿳鍒嗭紙鐩磋鍧愭(bi膩o)銆佹煴闈㈠潗妯�(bi膩o)銆佺悆闈㈠潗妯�(bi膩o)锛�.
锛�3锛夌悊瑙e叐椤�(l猫i)鏇茬窔绌嶅垎鐨勬蹇碉紝浜嗚В鍏╅(l猫i)鏇茬窔绌嶅垎鐨勬€ц唱(zh矛)鍙婂叐椤�(l猫i)鏇茬窔绌嶅垎鐨勯棞(gu膩n)绯�.
锛�4锛夋帉鎻¤▓(j矛)绠楀叐椤�(l猫i)鏇茬窔绌嶅垎鐨勬柟娉�.
锛�5锛夋帉鎻℃牸鏋楀叕寮忓苟鏈�(hu矛)閬�(y霉n)鐢ㄥ钩闈㈡洸绶氱⿳鍒嗚垏璺緫鐒�(w煤)闂�(gu膩n)鐨勬浠�锛屾渻(hu矛)姹備簩鍏冨嚱鏁�(sh霉)鍏ㄥ井鍒嗙殑鍘熷嚱鏁�(sh霉).
锛�6锛変簡瑙e叐椤�(l猫i)鏇查潰绌嶅垎鐨勬蹇�銆佹€ц唱(zh矛)鍙婂叐椤�(l猫i)鏇查潰绌嶅垎鐨勯棞(gu膩n)绯�锛屾帉鎻¤▓(j矛)绠楀叐椤�(l猫i)鏇查潰绌嶅垎鐨勬柟娉�锛屾帉鎻$敤楂樻柉鍏紡瑷�(j矛)绠楁洸闈㈢⿳鍒嗙殑鏂规硶锛屽苟鏈�(hu矛)鐢ㄦ柉鎵樺厠鏂叕寮忚▓(j矛)绠楁洸绶氱⿳鍒�.
锛�7锛変簡瑙f暎搴﹁垏鏃嬪害鐨勬蹇�锛屽苟鏈�(hu矛)瑷�(j矛)绠�.
锛�8锛夋渻(hu矛)鐢ㄩ噸绌嶅垎銆佹洸绶氱⿳鍒嗗強鏇查潰绌嶅垎姹備竴浜涘咕浣曢噺鑸囩墿鐞嗛噺锛堝钩闈㈠湒褰㈢殑闈㈢⿳銆侀珨绌�銆佹洸闈㈤潰绌�銆佸姬闀�(zh菐ng)銆佽唱(zh矛)閲�銆佽唱(zh矛)蹇冦€�銆佸舰蹇�銆佽綁(zhu菐n)鍕�(d貌ng)鎱i噺銆佸紩鍔�銆佸姛鍙婃祦閲忕瓑锛�.
7銆佺劇(w煤)绐礆(j铆)鏁�(sh霉)
鑰冭│鍏�(n猫i)瀹�
甯告暩(sh霉)闋�(xi脿ng)绱�(j铆)鏁�(sh霉)鐨勬敹鏂傝垏鐧�(f膩)鏁g殑姒傚康銆€鏀舵杺绱�(j铆)鏁�(sh霉)鐨勫拰鐨勬蹇点€€绱�(j铆)鏁�(sh霉)鐨勫熀鏈€ц唱(zh矛)鑸囨敹鏂傜殑蹇呰姊濅欢銆€骞句綍绱�(j铆)鏁�(sh霉)鑸� 绱�(j铆)鏁�(sh霉)鍙婂叾鏀舵杺鎬с€€姝i爡(xi脿ng)绱�(j铆)鏁�(sh霉)鏀舵杺鎬х殑鍒ゅ垾娉曘€€浜ら尟(cu貌)绱�(j铆)鏁�(sh霉)鑸囪悐甯冨凹鑼ㄥ畾鐞嗐€€浠绘剰闋�(xi脿ng)绱�(j铆)鏁�(sh霉)鐨勭禃灏�(du矛)鏀舵杺鑸囨浠舵敹鏂傘€€鍑芥暩(sh霉)闋�(xi脿ng)绱�(j铆)鏁�(sh霉)鐨勬敹鏂傚煙鑸囧拰鍑芥暩(sh霉)鐨勬蹇点€€鍐礆(j铆)鏁�(sh霉)鍙婂叾鏀舵杺鍗婂緫銆佹敹鏂傚崁(q奴)闁擄紙鎸囬枊(k膩i)鍗€(q奴)闁擄級鍜屾敹鏂傚煙銆€鍐礆(j铆)鏁�(sh霉)鐨勫拰鍑芥暩(sh霉)銆€鍐礆(j铆)鏁�(sh霉)鍦ㄥ叾鏀舵杺鍗€(q奴)闁撳収(n猫i)鐨勫熀鏈€ц唱(zh矛) 绨�(ji菐n)鍠啰绱�(j铆)鏁�(sh霉)鐨勫拰鍑芥暩(sh霉)鐨勬眰娉曘€€鍒濈瓑鍑芥暩(sh霉)鐨勫啰绱�(j铆)鏁�(sh霉)灞曢枊(k膩i)寮� 鍑芥暩(sh霉)鐨勫倕閲岃憠锛團ourier锛夌郴鏁�(sh霉)鑸囧倕閲岃憠绱�(j铆)鏁�(sh霉)銆€鐙勫埄鍏嬮浄锛圖irichlet锛夊畾鐞嗐€€鍑芥暩(sh霉)鍦� 涓婄殑鍌呴噷钁夌礆(j铆)鏁�(sh霉)銆€鍑芥暩(sh霉)鍦� 涓婄殑姝e鸡绱�(j铆)鏁�(sh霉)鍜屼綑寮︾礆(j铆)鏁�(sh霉)
鑰冭│瑕佹眰
锛�1锛夌悊瑙e父鏁�(sh霉)闋�(xi脿ng)绱�(j铆)鏁�(sh霉)鏀舵杺銆佺櫦(f膩)鏁d互鍙婃敹鏂傜礆(j铆)鏁�(sh霉)鐨勫拰鐨勬蹇�锛屾帉鎻$礆(j铆)鏁�(sh霉)鐨勫熀鏈€ц唱(zh矛)鍙婃敹鏂傜殑蹇呰姊濅欢.
锛�2锛夋帉鎻″咕浣曠礆(j铆)鏁�(sh霉)鑸� 绱�(j铆)鏁�(sh霉)鐨勬敹鏂傝垏鐧�(f膩)鏁g殑姊濅欢.
锛�3锛夋帉鎻℃闋�(xi脿ng)绱�(j铆)鏁�(sh霉)鏀舵杺鎬х殑姣旇純鍒ゅ垾娉曞拰姣斿€煎垽鍒ユ硶锛屾渻(hu矛)鐢ㄦ牴鍊煎垽鍒ユ硶.
锛�4锛夋帉鎻′氦閷�(cu貌)绱�(j铆)鏁�(sh霉)鐨勮悐甯冨凹鑼ㄥ垽鍒ユ硶.
锛�5锛変簡瑙d换鎰忛爡(xi脿ng)绱�(j铆)鏁�(sh霉)绲曞皪(du矛)鏀舵杺鑸囨浠舵敹鏂傜殑姒傚康浠ュ強绲曞皪(du矛)鏀舵杺鑸囨敹鏂傜殑闂�(gu膩n)绯�.
锛�6锛変簡瑙e嚱鏁�(sh霉)闋�(xi脿ng)绱�(j铆)鏁�(sh霉)鐨勬敹鏂傚煙鍙婂拰鍑芥暩(sh霉)鐨勬蹇�.
锛�7锛夌悊瑙e啰绱�(j铆)鏁�(sh霉)鏀舵杺鍗婂緫鐨勬蹇点€佸苟鎺屾彙鍐礆(j铆)鏁�(sh霉)鐨勬敹鏂傚崐寰�銆佹敹鏂傚崁(q奴)闁撳強鏀舵杺鍩熺殑姹傛硶.
锛�8锛変簡瑙e啰绱�(j铆)鏁�(sh霉)鍦ㄥ叾鏀舵杺鍗€(q奴)闁撳収(n猫i)鐨勫熀鏈€ц唱(zh矛)锛堝拰鍑芥暩(sh霉)鐨勯€g簩(x霉)鎬�銆侀€愰爡(xi脿ng)姹傚皫(d菐o)鍜岄€愰爡(xi脿ng)绌嶅垎锛�锛屾渻(hu矛)姹備竴浜涘啰绱�(j铆)鏁�(sh霉)鍦ㄦ敹鏂傚崁(q奴)闁撳収(n猫i)鐨勫拰鍑芥暩(sh霉)锛屽苟鏈�(hu矛)鐢辨姹傚嚭鏌愪簺鏁�(sh霉)闋�(xi脿ng)绱�(j铆)鏁�(sh霉)鐨勫拰.
锛�9锛変簡瑙e嚱鏁�(sh霉)灞曢枊(k膩i)鐐烘嘲鍕掔礆(j铆)鏁�(sh霉)鐨勫厖鍒嗗繀瑕佹浠�.
锛�10锛夋帉鎻� 锛� 锛� 锛� 鍙� 鐨勯亥鍏嬪嫗鏋楋紙Maclaurin锛夊睍闁�(k膩i)寮�锛屾渻(hu矛)鐢ㄥ畠鍊戝皣涓€浜涚啊(ji菐n)鍠嚱鏁�(sh霉)闁撴帴灞曢枊(k膩i)鐐哄啰绱�(j铆)鏁�(sh霉).
锛�11锛変簡瑙e倕閲岃憠绱�(j铆)鏁�(sh霉)鐨勬蹇靛拰鐙勫埄鍏嬮浄鏀舵杺瀹氱悊锛屾渻(hu矛)灏囧畾缇╁湪 涓婄殑鍑芥暩(sh霉)灞曢枊(k膩i)鐐哄倕閲岃憠绱�(j铆)鏁�(sh霉)锛屾渻(hu矛)灏囧畾缇╁湪 涓婄殑鍑芥暩(sh霉)灞曢枊(k膩i)鐐烘寮︾礆(j铆)鏁�(sh霉)鑸囦綑寮︾礆(j铆)鏁�(sh霉)锛屾渻(hu矛)瀵�(xi臎)鍑哄倕閲岃憠绱�(j铆)鏁�(sh霉)鐨勫拰鍑芥暩(sh霉)鐨勮〃閬�(d谩)寮�.
8銆佸父寰垎鏂圭▼
鑰冭│鍏�(n猫i)瀹�
甯稿井鍒嗘柟绋嬬殑鍩烘湰姒傚康銆€璁婇噺鍙垎闆㈢殑寰垎鏂圭▼銆€榻婃寰垎鏂圭▼銆€涓€闅庣窔鎬у井鍒嗘柟绋嬨€€浼姫鍒� 锛圔ernoulli锛夋柟绋嬨€€鍏ㄥ井鍒嗘柟绋嬨€€鍙敤绨�(ji菐n)鍠殑璁婇噺浠f彌姹傝В鐨勬煇浜涘井鍒嗘柟绋嬨€€鍙檷闅庣殑楂橀殠寰垎鏂圭▼銆€绶氭€у井鍒嗘柟绋嬭В鐨勬€ц唱(zh矛)鍙婅В鐨勭祼(ji茅)妲�(g貌u)瀹氱悊銆€浜岄殠甯哥郴鏁�(sh霉)榻婃绶氭€у井鍒嗘柟绋嬨€€楂樹簬浜岄殠鐨勬煇浜涘父绯绘暩(sh霉)榻婃绶氭€у井鍒嗘柟绋嬨€€绨�(ji菐n)鍠殑浜岄殠甯哥郴鏁�(sh霉)闈為綂娆$窔鎬у井鍒嗘柟绋� 姝愭媺锛圗uler锛夋柟绋嬨€€寰垎鏂圭▼鐨勭啊(ji菐n)鍠噳(y墨ng)鐢�
鑰冭│瑕佹眰
锛�1锛変簡瑙e井鍒嗘柟绋嬪強鍏堕殠銆佽В銆侀€氳В銆佸垵濮嬫浠跺拰鐗硅В绛夋蹇�.
锛�2锛夋帉鎻¤畩閲忓彲鍒嗛洟鐨勫井鍒嗘柟绋嬪強涓€闅庣窔鎬у井鍒嗘柟绋嬬殑瑙f硶锛�
锛�3锛夋渻(hu矛)瑙i綂娆″井鍒嗘柟绋�銆佷集鍔埄鏂圭▼鍜屽叏寰垎鏂圭▼锛屾渻(hu矛)鐢ㄧ啊(ji菐n)鍠殑璁婇噺浠f彌瑙f煇浜涘井鍒嗘柟绋嬶紟
锛�4锛夋渻(hu矛)鐢ㄩ檷闅庢硶瑙d笅鍒楀舰寮忕殑寰垎鏂圭▼锛�
鍜� 锛�
锛�5锛夌悊瑙g窔鎬у井鍒嗘柟绋嬭В鐨勬€ц唱(zh矛)鍙婅В鐨勭祼(ji茅)妲�(g貌u)锛�
锛�6锛夋帉鎻′簩闅庡父绯绘暩(sh霉)榻婃绶氭€у井鍒嗘柟绋嬬殑瑙f硶锛屽苟鏈�(hu矛)瑙f煇浜涢珮浜庝簩闅庣殑甯哥郴鏁�(sh霉)榻婃绶氭€у井鍒嗘柟绋�.
锛�7锛夋渻(hu矛)瑙h嚜鐢遍爡(xi脿ng)鐐哄闋�(xi脿ng)寮�銆佹寚鏁�(sh霉)鍑芥暩(sh霉)銆佹寮﹀嚱鏁�(sh霉)銆佷綑寮﹀嚱鏁�(sh霉)浠ュ強瀹冨€戠殑鍜岃垏绌嶇殑浜岄殠甯哥郴鏁�(sh霉)闈為綂娆$窔鎬у井鍒嗘柟绋嬶紟
锛�8锛夋渻(hu矛)瑙f瓙鎷夋柟绋嬶紟
锛�9锛夋渻(hu矛)鐢ㄥ井鍒嗘柟绋嬭В姹轰竴浜涚啊(ji菐n)鍠殑鎳�(y墨ng)鐢ㄥ晱(w猫n)椤岋紟
锛堜簩锛夌窔鎬т唬鏁�(sh霉)
1銆佽鍒楀紡
鑰冭│鍏�(n猫i)瀹�
顥ヮ棩琛屽垪寮忕殑姒傚康鍜屽熀鏈€ц唱(zh矛)銆€琛屽垪寮忔寜琛岋紙鍒楋級灞曢枊(k膩i)瀹氱悊
鑰冭│瑕佹眰
锛�1锛変簡瑙h鍒楀紡鐨勬蹇碉紝鎺屾彙琛屽垪寮忕殑鎬ц唱(zh矛)锛�
锛�2锛夋渻(hu矛)鎳�(y墨ng)鐢ㄨ鍒楀紡鐨勬€ц唱(zh矛)鍜岃鍒楀紡鎸夎锛堝垪锛夊睍闁�(k膩i)瀹氱悊瑷�(j矛)绠楄鍒楀紡锛�
2銆佺煩闄�
鑰冭│鍏�(n猫i)瀹�
顥ヮ棩顥ョ煩闄g殑姒傚康銆€鐭╅櫍鐨勭窔鎬ч亱(y霉n)绠椼€€鐭╅櫍鐨勪箻娉曘€€鏂归櫍鐨勫啰銆€鏂归櫍涔樼⿳鐨勮鍒楀紡銆€鐭╅櫍鐨勮綁(zhu菐n)缃€€閫嗙煩闄g殑姒傚康鍜屾€ц唱(zh矛)銆€鐭╅櫍鍙€嗙殑鍏呭垎蹇呰姊濅欢銆€浼撮毃鐭╅櫍銆€鐭╅櫍鐨勫垵绛夎畩鎻涖€€鍒濈瓑鐭╅櫍銆€銆€鐭╅櫍鐨勭З銆€鐭╅櫍鐨勭瓑鍍�(ji脿)銆€鍒嗗鐭╅櫍鍙婂叾閬�(y霉n)绠�
鑰冭│瑕佹眰
顥ワ紙1锛夌悊瑙g煩闄g殑姒傚康锛屼簡瑙e柈浣嶇煩闄c€佹暩(sh霉)閲忕煩闄�銆佸皪(du矛)瑙掔煩闄c€佷笁瑙掔煩闄�銆佸皪(du矛)绋辩煩闄e拰鍙嶅皪(du矛)绋辩煩闄d互鍙婂畠鍊戠殑鎬ц唱(zh矛)锛�
锛�2锛夋帉鎻$煩闄g殑绶氭€ч亱(y霉n)绠椼€佷箻娉�銆佽綁(zhu菐n)缃互鍙婂畠鍊戠殑閬�(y霉n)绠楄(gu墨)寰�锛屼簡瑙f柟闄g殑鍐垏鏂归櫍涔樼⿳鐨勮鍒楀紡鐨勬€ц唱(zh矛).
锛�3锛夌悊瑙i€嗙煩闄g殑姒傚康锛屾帉鎻¢€嗙煩闄g殑鎬ц唱(zh矛)浠ュ強鐭╅櫍鍙€嗙殑鍏呭垎蹇呰姊濅欢锛岀悊瑙d即闅ㄧ煩闄g殑姒傚康锛屾渻(hu矛)鐢ㄤ即闅ㄧ煩闄f眰閫嗙煩闄o紟
锛�4锛夌悊瑙g煩闄e垵绛夎畩鎻涚殑姒傚康锛屼簡瑙e垵绛夌煩闄g殑鎬ц唱(zh矛)鍜岀煩闄g瓑鍍�(ji脿)鐨勬蹇�锛岀悊瑙g煩闄g殑绉╃殑姒傚康锛屾帉鎻$敤鍒濈瓑璁婃彌姹傜煩闄g殑绉╁拰閫嗙煩闄g殑鏂规硶锛�
锛�5锛変簡瑙e垎濉婄煩闄e強鍏堕亱(y霉n)绠楋紟
3銆佸悜閲�
鑰冭│鍏�(n猫i)瀹�
鍚戦噺鐨勬蹇� 鍚戦噺鐨勭窔鎬х祫鍚堣垏绶氭€ц〃绀� 鍚戦噺绲勭殑绶氭€х浉闂�(gu膩n)鑸囩窔鎬х劇(w煤)闂�(gu膩n) 鍚戦噺绲勭殑妤靛ぇ绶氭€х劇(w煤)闂�(gu膩n)绲� 绛夊児(ji脿)鍚戦噺绲� 鍚戦噺绲勭殑绉� 鍚戦噺绲勭殑绉╄垏鐭╅櫍鐨勭З涔嬮枔鐨勯棞(gu膩n)绯� 鍚戦噺绌洪枔鍙婂叾鐩搁棞(gu膩n)姒傚康 缍悜閲忕┖闁撶殑鍩鸿畩鎻涘拰鍧愭(bi膩o)璁婃彌 閬�(gu貌)娓$煩闄� 鍚戦噺鐨勫収(n猫i)绌� 绶氭€х劇(w煤)闂�(gu膩n)鍚戦噺绲勭殑姝d氦瑕�(gu墨)鑼冨寲鏂规硶 瑕�(gu墨)鑼冩浜ゅ熀 姝d氦鐭╅櫍鍙婂叾鎬ц唱(zh矛)
鑰冭│瑕佹眰
锛�1锛夌悊瑙� 缍悜閲忋€佸悜閲忕殑绶氭€х祫鍚堣垏绶氭€ц〃绀虹殑姒傚康锛�
锛�2锛夌悊瑙e悜閲忕祫绶氭€х浉闂�(gu膩n)銆佺窔鎬х劇(w煤)闂�(gu膩n)鐨勬蹇�锛屾帉鎻″悜閲忕祫绶氭€х浉闂�(gu膩n)銆佺窔鎬х劇(w煤)闂�(gu膩n)鐨勬湁闂�(gu膩n)鎬ц唱(zh矛)鍙婂垽鍒ユ硶锛�
锛�3锛夌悊瑙e悜閲忕祫鐨勬サ澶х窔鎬х劇(w煤)闂�(gu膩n)绲勫拰鍚戦噺绲勭殑绉╃殑姒傚康锛屾渻(hu矛)姹傚悜閲忕祫鐨勬サ澶х窔鎬х劇(w煤)闂�(gu膩n)绲勫強绉╋紟
锛�4锛夌悊瑙e悜閲忕祫绛夊児(ji脿)鐨勬蹇�锛岀悊瑙g煩闄g殑绉╄垏鍏惰(鍒�)鍚戦噺绲勭殑绉╀箣闁撶殑闂�(gu膩n)绯�.
锛�5锛変簡瑙� 缍悜閲忕┖闁�銆佸瓙绌洪枔銆佸熀搴曘€佺董鏁�(sh霉)銆佸潗妯�(bi膩o)绛夋蹇碉紟
锛�6锛変簡瑙e熀璁婃彌鍜屽潗妯�(bi膩o)璁婃彌鍏紡锛屾渻(hu矛)姹傞亷(gu貌)娓$煩闄o紟
锛�7锛変簡瑙e収(n猫i)绌嶇殑姒傚康锛屾帉鎻$窔鎬х劇(w煤)闂�(gu膩n)鍚戦噺绲勬浜よ(gu墨)鑼冨寲鐨勬柦瀵嗙壒锛圫chmidt锛夋柟娉曪紟
锛�8锛変簡瑙h(gu墨)鑼冩浜ゅ熀銆佹浜ょ煩闄g殑姒傚康浠ュ強瀹冨€戠殑鎬ц唱(zh矛)
4銆佺窔鎬ф柟绋嬬祫
鑰冭│鍏�(n猫i)瀹�:
绶氭€ф柟绋嬬祫鐨勫厠钀婂锛圕ramer锛夋硶鍓� 榻婃绶氭€ф柟绋嬬祫鏈夐潪闆惰В鐨勫厖鍒嗗繀瑕佹浠� 闈為綂娆$窔鎬ф柟绋嬬祫鏈夎В鐨勫厖鍒嗗繀瑕佹浠� 绶氭€ф柟绋嬬祫瑙g殑鎬ц唱(zh矛)鍜岃В鐨勭祼(ji茅)妲�(g貌u) 榻婃绶氭€ф柟绋嬬祫鐨勫熀绀�(ch菙)瑙g郴鍜岄€氳В 瑙g┖闁� 闈為綂娆$窔鎬ф柟绋嬬祫鐨勯€氳В
鑰冭│瑕佹眰
锛�1锛夋渻(hu矛)鐢ㄥ厠钀婂娉曞墖锛�
锛�2锛夌悊瑙i綂娆$窔鎬ф柟绋嬬祫鏈夐潪闆惰В鐨勫厖鍒嗗繀瑕佹浠跺強闈為綂娆$窔鎬ф柟绋嬬祫鏈夎В鐨勫厖鍒嗗繀瑕佹浠讹紟
锛�3锛夌悊瑙i綂娆$窔鎬ф柟绋嬬祫鐨勫熀绀�(ch菙)瑙g郴銆侀€氳В鍙婅В绌洪枔鐨勬蹇�锛屾帉鎻¢綂娆$窔鎬ф柟绋嬬祫鐨勫熀绀�(ch菙)瑙g郴鍜岄€氳В鐨勬眰娉�.
锛�4锛夌悊瑙i潪榻婃绶氭€ф柟绋嬬祫瑙g殑绲�(ji茅)妲�(g貌u)鍙婇€氳В鐨勬蹇碉紟
锛�5锛夋帉鎻$敤鍒濈瓑琛岃畩鎻涙眰瑙g窔鎬ф柟绋嬬祫鐨勬柟娉曪紟
5銆佺煩闄g殑鐗瑰緛鍊煎拰鐗瑰緛鍚戦噺
鑰冭│鍏�(n猫i)瀹�:
鐭╅櫍鐨勭壒寰佸€煎拰鐗瑰緛鍚戦噺鐨勬蹇�銆佹€ц唱(zh矛) 鐩镐技璁婃彌銆佺浉浼肩煩闄g殑姒傚康鍙婃€ц唱(zh矛) 鐭╅櫍鍙浉浼煎皪(du矛)瑙掑寲鐨勫厖鍒嗗繀瑕佹浠跺強鐩镐技灏�(du矛)瑙掔煩闄� 瀵�(sh铆)灏�(du矛)绋辩煩闄g殑鐗瑰緛鍊笺€佺壒寰佸悜閲忓強鍏剁浉浼煎皪(du矛)瑙掔煩闄�
鑰冭│瑕佹眰:
锛�1锛夌悊瑙g煩闄g殑鐗瑰緛鍊煎拰鐗瑰緛鍚戦噺鐨勬蹇靛強鎬ц唱(zh矛)锛屾渻(hu矛)姹傜煩闄g殑鐗瑰緛鍊煎拰鐗瑰緛鍚戦噺.
锛�2锛夌悊瑙g浉浼肩煩闄g殑姒傚康銆佹€ц唱(zh矛)鍙婄煩闄e彲鐩镐技灏�(du矛)瑙掑寲鐨勫厖鍒嗗繀瑕佹浠讹紝鎺屾彙灏囩煩闄e寲鐐虹浉浼煎皪(du矛)瑙掔煩闄g殑鏂规硶.
锛�3锛夋帉鎻″(sh铆)灏�(du矛)绋辩煩闄g殑鐗瑰緛鍊煎拰鐗瑰緛鍚戦噺鐨勬€ц唱(zh矛)锛�
6銆佷簩娆″瀷
鑰冭│鍏�(n猫i)瀹�
浜屾鍨嬪強鍏剁煩闄h〃绀� 鍚堝悓璁婃彌鑸囧悎鍚岀煩闄� 浜屾鍨嬬殑绉� 鎱f€у畾鐞� 浜屾鍨嬬殑妯�(bi膩o)婧�(zh菙n)褰㈠拰瑕�(gu墨)鑼冨舰 鐢ㄦ浜よ畩鎻涘拰閰嶆柟娉曞寲浜屾鍨嬬偤妯�(bi膩o)婧�(zh菙n)褰� 浜屾鍨嬪強鍏剁煩闄g殑姝e畾鎬�
鑰冭│瑕佹眰
锛�1锛夋帉鎻′簩娆″瀷鍙婂叾鐭╅櫍琛ㄧず锛屼簡瑙d簩娆″瀷绉╃殑姒傚康锛屼簡瑙e悎鍚岃畩鎻涜垏鍚堝悓鐭╅櫍鐨勬蹇�锛屼簡瑙d簩娆″瀷鐨勬(bi膩o)婧�(zh菙n)褰€€佽(gu墨)鑼冨舰鐨勬蹇典互鍙婃叄鎬у畾鐞嗭紟
锛�2锛夋帉鎻$敤姝d氦璁婃彌鍖栦簩娆″瀷鐐烘(bi膩o)婧�(zh菙n)褰㈢殑鏂规硶锛屾渻(hu矛)鐢ㄩ厤鏂规硶鍖栦簩娆″瀷鐐烘(bi膩o)婧�(zh菙n)褰紟
锛�3锛夌悊瑙f瀹氫簩娆″瀷銆佹瀹氱煩闄g殑姒傚康锛屽苟鎺屾彙鍏跺垽鍒ユ硶锛�
涓�銆佸弮鑰冩浉(sh奴)鐩�
[1] 鍚屾繜(j矛)澶у(xu茅)鏁�(sh霉)瀛�(xu茅)绯荤法. 楂樼瓑鏁�(sh霉)瀛�(xu茅)锛堢鍏増锛�. 楂樼瓑鏁欒偛鍑虹増绀�, 2007
[2] 鏌存儬鏂�, 瀹椾簯鍗�. 绶氭€т唬鏁�(sh霉). 楂樼瓑鏁欒偛鍑虹増绀�, 2011
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(q菒ng)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€�(g猫)浜鸿榛�(di菐n)锛岃垏鏈恫(w菐ng)绔欑劇(w煤)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(sh铆)锛屽皪(du矛)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(sh铆)鎬�銆佸畬鏁存€�銆佸強鏅�(sh铆)鎬ф湰绔欎笉浣滀换浣曚繚璀夋垨鎵胯锛岃珛(q菒ng)璁€鑰呭儏浣滃弮鑰�锛屽苟璜�(q菒ng)鑷鏍稿(sh铆)鐩搁棞(gu膩n)鍏�(n猫i)瀹�銆�