姝¤繋瑷晱鑰冪爺绉樼睄鑰冪爺缍�(w菐ng)!    鐮旂┒鐢熸嫑鐢熶俊鎭恫(w菐ng)    鑰冨崥鐪熼涓嬭級    鑰冪爺鐪熼涓嬭級    鍏ㄧ珯鏂囩珷绱㈠紩
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 鎮ㄧ従(xi脿n)鍦ㄧ殑浣嶇疆锛� 鑰冪爺绉樼睄鑰冪爺缍�(w菐ng) >> 鏂囩珷涓績 >> 灏堟キ(y猫)瑾� >> 姝f枃  2015骞存箹鍗楀斧鑼冨ぇ瀛�(xu茅)锛块珮绛夋暩(sh霉)瀛�(xu茅)鑰冪爺澶х侗

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婀栧崡甯寖澶у(xu茅)纰╁+鐮旂┒鐢熷叆瀛�(xu茅)鑰冭│鑷懡椤岃€冭│澶х侗
鑰冭│绉戠洰浠g⒓锛歔] 鑰冭│绉戠洰鍚嶇ū锛氶珮绛夋暩(sh霉)瀛�(xu茅)
涓€銆佽│鍗风祼(ji茅)妲�(g貌u)
1) 瑭﹀嵎鎴愮妇鍙婅€冭│鏅傞枔
鏈│鍗锋豢鍒嗙偤 100 鍒�锛岃€冭│鏅傞枔鐐� 180 鍒嗛悩銆�
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3)椤屽瀷绲�(ji茅)妲�(g貌u)
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浜屻€佽€冭│鍏�(n猫i)瀹硅垏鑰冭│瑕佹眰
1銆佸嚱鏁�(sh霉)銆佹サ闄�銆侀€g簩(x霉)
鑰冭│鍏�(n猫i)瀹�
鍑芥暩(sh霉)鐨勬蹇靛強琛ㄧず娉� 鍑芥暩(sh霉)鐨勬湁鐣屾€с€佸柈瑾�(di脿o)鎬�銆佸懆鏈熸€у拰濂囧伓鎬� 寰�(f霉)鍚堝嚱鏁�(sh霉)銆�
鍙嶅嚱鏁�(sh霉)銆佸垎娈靛嚱鏁�(sh霉)鍜岄毐鍑芥暩(sh霉) 鍩烘湰鍒濈瓑鍑芥暩(sh霉)鐨勬€ц唱(zh矛)鍙婂叾鍦栧舰 鍒濈瓑鍑芥暩(sh霉) 鍑芥暩(sh霉)闂�(gu膩n)
绯荤殑寤虹珛
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) 鍑芥暩(sh霉)鐨勫乏妤甸檺鍜屽彸妤甸檺 鐒$灏忛噺
鍜岀劇绐ぇ閲忕殑姒傚康鍙婂叾闂�(gu膩n)绯� 鐒$灏忛噺鐨勬€ц唱(zh矛)鍙婄劇绐皬閲忕殑姣旇純 妤甸檺鐨勫洓鍓�
閬嬬畻 妤甸檺瀛樺湪鐨勫叐鍊嬫簴鍓囷細鍠(di脿o)鏈夌晫婧栧墖鍜屽ぞ閫兼簴鍓� 鍏╁€嬮噸瑕佹サ闄�:
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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〃绀烘硶锛屾渻寤虹珛鎳�(y墨ng)鐢ㄥ晱椤岀殑鍑芥暩(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�
宸︺€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)鍙婂洓鍓囬亱绠楁硶鍓�.
锛�7锛夋帉鎻℃サ闄愬瓨鍦ㄧ殑鍏╁€嬫簴鍓囷紝骞舵渻鍒╃敤瀹冨€戞眰妤甸檺锛屾帉鎻″埄鐢ㄥ叐鍊嬮噸瑕佹サ
闄愭眰妤甸檺鐨勬柟娉曪紟
锛�8锛夌悊瑙g劇绐皬閲�銆佺劇绐ぇ閲忕殑姒傚康锛屾帉鎻$劇绐皬閲忕殑姣旇純鏂规硶锛屾渻鐢ㄧ瓑鍍�
鐒$灏忛噺姹傛サ闄愶紟
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)锛夛紝鏈冨垽鍒ュ嚱鏁�(sh霉)闁撴柗榛炵殑椤�
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€�
璩�(zh矛)锛堟湁鐣屾€с€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冩噳(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 灏�(d菐o)鏁�(sh霉)鐨勫咕浣曟剰缇╁拰鐗╃悊鎰忕京 鍑芥暩(sh霉)鐨勫彲灏�(d菐o)鎬ц垏閫g簩(x霉)鎬�
涔嬮枔鐨勯棞(gu膩n)绯� 骞抽潰鏇茬窔鐨勫垏绶氬拰娉曠窔 灏�(d菐o)鏁�(sh霉)鍜屽井鍒嗙殑鍥涘墖閬嬬畻 鍩烘湰鍒濈瓑鍑芥暩(sh霉)鐨�
灏�(d菐o)鏁�(sh霉) 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 楂橀殠灏�(d菐o)
鏁�(sh霉) 涓€闅庡井鍒嗗舰寮忕殑涓嶈畩鎬� 寰垎涓€煎畾鐞� 娲涘繀閬旓紙L鈥橦ospital锛夋硶鍓� 鍑芥暩(sh霉)鍠�
瑾�(di脿o)鎬х殑鍒ゅ垾 鍑芥暩(sh霉)鐨勬サ鍊� 鍑芥暩(sh霉)鍦栧舰鐨勫嚬鍑告€с€佹嫄榛炲強婕歌繎绶� 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€� 寮у井鍒� 鏇茬巼鐨勬蹇� 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)绯伙紝鐞嗚В灏�(d菐o)鏁�(sh霉)鐨勫咕浣曟剰
缇�锛屾渻姹傚钩闈㈡洸绶氱殑鍒囩窔鏂圭▼鍜屾硶绶氭柟绋�锛屼簡瑙e皫(d菐o)鏁�(sh霉)鐨勭墿鐞嗘剰缇╋紝鏈冪敤灏�(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井鍒嗙殑鍥涘墖閬嬬畻娉曞墖鍜屼竴闅庡井鍒嗗舰寮忕殑涓嶈畩鎬�锛屾渻姹傚嚱鏁�(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�锛屾渻姹傜啊鍠嚱鏁�(sh霉)鐨勯珮闅庡皫(d菐o)鏁�(sh霉)锛�
锛�4锛夋渻姹傚垎娈靛嚱鏁�(sh霉)鐨勫皫(d菐o)鏁�(sh霉)锛屾渻姹傞毐鍑芥暩(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�
鍑芥暩(sh霉)鐨勫皫(d菐o)鏁�(sh霉).
锛�5锛夌悊瑙e苟鏈冪敤缇呯埦(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苟鏈冪敤鏌タ(Cauchy)涓€煎畾鐞嗭紟
锛�6锛夋帉鎻$敤娲涘繀閬旀硶鍓囨眰鏈畾寮忔サ闄愮殑鏂规硶锛�
锛�7锛夌悊瑙e嚱鏁�(sh霉)鐨勬サ鍊兼蹇�锛屾帉鎻$敤灏�(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�( , )a b 鍏�(n猫i)锛岃ō(sh猫)鍑芥暩(sh霉) ( )f x 鍏�
鏈変簩闅庡皫(d菐o)鏁�(sh霉)銆傜暥 ( ) 0f x?? ? 鏅傦紝 ( )f x 鐨勫湒褰㈡槸鍑圭殑锛涚暥 ( ) 0f x?? ? 鏅�锛� ( )f x 鐨勫湒褰�
鏄嚫鐨勶級锛屾渻姹傚嚱鏁�(sh霉)鍦栧舰鐨勬嫄榛炰互鍙婃按骞炽€侀墰鐩村拰鏂滄几杩戠窔锛屾渻鎻忕躬鍑芥暩(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瑷堢畻鏇茬巼鍜屾洸鐜囧崐寰戯紟
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 涓嶅畾绌嶅垎鐨勫熀鏈€ц唱(zh矛) 鍩烘湰绌嶅垎鍏紡 瀹氱⿳鍒�
鐨勬蹇靛拰鍩烘湰鎬ц唱(zh矛) 瀹氱⿳鍒嗕腑鍊煎畾鐞� 绌嶅垎涓婇檺鐨勫嚱鏁�(sh霉)鍙婂叾灏�(d菐o)鏁�(sh霉) 鐗涢爴-钀婂竷灏�
鑼紙Newton-Leibniz锛夊叕寮� 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 鏈�
鐞嗗嚱鏁�(sh霉)銆佷笁瑙掑嚱鏁�(sh霉)鐨勬湁鐞嗗紡鍜岀啊鍠劇鐞嗗嚱鏁�(sh霉)鐨勭⿳鍒� 鍙嶅父锛堝唬缇╋級绌嶅垎 瀹氱⿳鍒�
鐨勬噳(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�
鍊煎畾鐞�锛屾帉鎻℃彌鍏冪⿳鍒嗘硶鑸囧垎閮ㄧ⿳鍒嗘硶锛�
锛�3锛夋渻姹傛湁鐞嗗嚱鏁�(sh霉)銆佷笁瑙掑嚱鏁�(sh霉)鏈夌悊寮忓拰绨″柈鐒$悊鍑芥暩(sh霉)鐨勭⿳鍒嗭紟
锛�4锛夌悊瑙g⿳鍒嗕笂闄愮殑鍑芥暩(sh霉)锛屾渻姹傚畠鐨勫皫(d菐o)鏁�(sh霉)锛屾帉鎻$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瑷堢畻鍙嶅父绌嶅垎锛�
锛�6锛夋帉鎻$敤瀹氱⿳鍒嗚〃閬斿拰瑷堢畻涓€浜涘咕浣曢噺鑸囩墿鐞嗛噺锛堝钩闈㈠湒褰㈢殑闈㈢⿳銆佸钩
闈㈡洸绶氱殑寮ч暦銆佹棆杞�(zhu菐n)楂旂殑楂旂⿳銆佸钩琛屾埅闈㈤潰绌嶇偤宸茬煡鐨勭珛楂旈珨绌嶇瓑锛夊強鍑芥暩(sh霉)鐨勫钩
鍧囧€硷紟
4銆佸悜閲忎唬鏁�(sh霉)鍜岀┖闁撹В鏋愬咕浣�
鑰冭│鍏�(n猫i)瀹�
鍚戦噺鐨勬蹇� 鍚戦噺鐨勭窔鎬ч亱绠� 鍚戦噺鐨勬暩(sh霉)閲忕⿳鍜屽悜閲忕⿳ 鍚戦噺鐨勬贩鍚堢⿳
鍏╁悜閲忓瀭鐩�銆佸钩琛岀殑姊濅欢 鍏╁悜閲忕殑澶捐 鍚戦噺鐨勫潗妯欒〃閬斿紡鍙婂叾閬嬬畻 鍠綅鍚�
閲� 鏂瑰悜鏁�(sh霉)鑸囨柟鍚戜綑寮� 鏇查潰鏂圭▼鍜岀┖闁撴洸绶氭柟绋嬬殑姒傚康 骞抽潰鏂圭▼ 鐩寸窔鏂�
绋� 骞抽潰鑸囧钩闈€€佸钩闈㈣垏鐩寸窔銆佺洿绶氳垏鐩寸窔鐨勫ぞ瑙掍互鍙婂钩琛�銆佸瀭鐩寸殑姊濅欢 榛炲埌
骞抽潰鍜岄粸鍒扮洿绶氱殑璺濋洟 鐞冮潰 鏌遍潰 鏃嬭綁(zhu菐n)鏇查潰 甯哥敤鐨勪簩娆℃洸闈㈡柟绋嬪強鍏跺湒
褰� 绌洪枔鏇茬窔鐨勫弮鏁�(sh霉)鏂圭▼鍜屼竴鑸柟绋� 绌洪枔鏇茬窔鍦ㄥ潗妯欓潰涓婄殑鎶曞奖鏇茬窔鏂圭▼
鑰冭│瑕佹眰
锛�1锛夌悊瑙g┖闁撶洿瑙掑潗妯欑郴锛岀悊瑙e悜閲忕殑姒傚康鍙婂叾琛ㄧず.
锛�2锛夋帉鎻″悜閲忕殑閬嬬畻锛堢窔鎬ч亱绠椼€佹暩(sh霉)閲忕⿳銆佸悜閲忕⿳銆佹贩鍚堢⿳锛�锛屼簡瑙e叐鍊�
鍚戦噺鍨傜洿銆佸钩琛岀殑姊濅欢.
锛�3锛夌悊瑙e柈浣嶅悜閲�銆佹柟鍚戞暩(sh霉)鑸囨柟鍚戜綑寮︺€佸悜閲忕殑鍧愭琛ㄩ仈寮�锛屾帉鎻$敤鍧愭
琛ㄩ仈寮忛€茶鍚戦噺閬嬬畻鐨勬柟娉�.
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掞紝骞舵渻鍒╃敤骞�
闈�銆佺洿绶氱殑鐩镐簰闂�(gu膩n)绯伙紙骞宠銆佸瀭鐩�銆佺浉浜ょ瓑锛夎В姹烘湁闂�(gu膩n)鍟忛.
锛�6锛夋渻姹傞粸鍒扮洿绶氫互鍙婇粸鍒板钩闈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姹傜啊鍠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潗妯欏钩闈笂鐨勬姇
褰�锛屽苟鏈冩眰瑭叉姇褰辨洸绶氱殑鏂圭▼.
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� 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�
鐣岄枆鍗€(q奴)鍩熶笂澶氬厓閫g簩(x霉)鍑芥暩(sh霉)鐨勬€ц唱(zh矛) 澶氬厓鍑芥暩(sh霉)鐨勫亸灏�(d菐o)鏁�(sh霉)鍜屽叏寰垎 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) 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� 澶氬厓鍑芥暩(sh霉)鐨勬サ鍊煎拰
姊濅欢妤靛€� 澶氬厓鍑芥暩(sh霉)鐨勬渶澶у€�銆佹渶灏忓€煎強鍏剁啊鍠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蹇碉紝鐞嗚В浜屽厓鍑芥暩(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▓绠楁柟娉�.
锛�5锛夋帉鎻″鍏冨京(f霉)鍚堝嚱鏁�(sh霉)涓€闅庛€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�锛屾渻姹傚畠
鍊戠殑鏂圭▼.
锛�8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姹備簩鍏冨嚱鏁�(sh霉)鐨勬サ鍊硷紝鏈冪敤鎷夋牸鏈楁棩
涔樻暩(sh霉)娉曟眰姊濅欢妤靛€�锛屾渻姹傜啊鍠鍏冨嚱鏁�(sh霉)鐨勬渶澶у€煎拰鏈€灏忓€硷紝骞舵渻瑙f焙涓€浜涚啊鍠殑
鎳�(y墨ng)鐢ㄥ晱椤�.
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▓绠楀拰鎳�(y墨ng)鐢� 鍏╅鏇茬窔绌嶅垎鐨勬蹇�銆佹€�
璩�(zh矛)鍙婅▓绠� 鍏╅鏇茬窔绌嶅垎鐨勯棞(gu膩n)绯� 鏍兼灄锛圙reen锛夊叕寮� 骞抽潰鏇茬窔绌嶅垎鑸囪矾寰戠劇
闂�(gu膩n)鐨勬浠�
鑰冭│瑕佹眰
锛�1锛夌悊瑙d簩閲嶇⿳鍒�銆佷笁閲嶇⿳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�
鐨勪腑鍊煎畾鐞�.
锛�2锛夋帉鎻′簩閲嶇⿳鍒嗙殑瑷堢畻鏂规硶锛堢洿瑙掑潗妯�銆佹サ鍧愭锛夛紝鏈冭▓绠椾笁閲嶇⿳鍒嗭紙鐩�
瑙掑潗妯�銆佹煴闈㈠潗妯�銆佺悆闈㈠潗妯欙級.
锛�3锛夌悊瑙e叐椤炴洸绶氱⿳鍒嗙殑姒傚康锛屼簡瑙e叐椤炴洸绶氱⿳鍒嗙殑鎬ц唱(zh矛)鍙婂叐椤炴洸绶氱⿳鍒�
鐨勯棞(gu膩n)绯�.
锛�4锛夋帉鎻¤▓绠楀叐椤炴洸绶氱⿳鍒嗙殑鏂规硶.
锛�5锛夋帉鎻℃牸鏋楀叕寮忓苟鏈冮亱鐢ㄥ钩闈㈡洸绶氱⿳鍒嗚垏璺緫鐒¢棞(gu膩n)鐨勬浠�.
7銆佺劇绐礆鏁�(sh霉)
鑰冭│鍏�(n猫i)瀹�
甯告暩(sh霉)闋呯礆鏁�(sh霉)鐨勬敹鏂傝垏鐧�(f膩)鏁g殑姒傚康 鏀舵杺绱氭暩(sh霉)鐨勫拰鐨勬蹇� 绱氭暩(sh霉)鐨勫熀鏈€ц唱(zh矛)
鑸囨敹鏂傜殑蹇呰姊濅欢 骞句綍绱氭暩(sh霉)鑸� p 绱氭暩(sh霉)鍙婂叾鏀舵杺鎬� 姝i爡绱氭暩(sh霉)鏀舵杺鎬х殑鍒ゅ垾娉�
浜ら尟绱氭暩(sh霉)鑸囪悐甯冨凹鑼ㄥ畾鐞� 浠绘剰闋呯礆鏁�(sh霉)鐨勭禃灏嶆敹鏂傝垏姊濅欢鏀舵杺 鍑芥暩(sh霉)闋呯礆鏁�(sh霉)鐨�
鏀舵杺鍩熻垏鍜屽嚱鏁�(sh霉)鐨勬蹇� 鍐礆鏁�(sh霉)鍙婂叾鏀舵杺鍗婂緫銆佹敹鏂傚崁(q奴)闁擄紙鎸囬枊鍗€(q奴)闁擄級鍜屾敹鏂傚煙
鍐礆鏁�(sh霉)鐨勫拰鍑芥暩(sh霉) 鍐礆鏁�(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″柈鍐礆鏁�(sh霉)鐨勫拰鍑芥暩(sh霉)鐨勬眰
娉� 鍒濈瓑鍑芥暩(sh霉)鐨勫啰绱氭暩(sh霉)灞曢枊寮� 鍑芥暩(sh霉)鐨勫倕閲岃憠锛團ourier锛夌郴鏁�(sh霉)鑸囧倕閲岃憠绱氭暩(sh霉) 鐙�
鍒╁厠闆凤紙Dirichlet锛夊畾鐞� 姝e鸡绱氭暩(sh霉)鍜屼綑寮︾礆鏁�(sh霉)
鑰冭│瑕佹眰
锛�1锛夌悊瑙e父鏁�(sh霉)闋呯礆鏁�(sh霉)鏀舵杺銆佺櫦(f膩)鏁d互鍙婃敹鏂傜礆鏁�(sh霉)鐨勫拰鐨勬蹇�锛屾帉鎻$礆鏁�(sh霉)鐨勫熀
鏈€ц唱(zh矛)鍙婃敹鏂傜殑蹇呰姊濅欢.
锛�2锛夋帉鎻″咕浣曠礆鏁�(sh霉)鑸� p
绱氭暩(sh霉)鐨勬敹鏂傝垏鐧�(f膩)鏁g殑姊濅欢.
锛�3锛夋帉鎻℃闋呯礆鏁�(sh霉)鏀舵杺鎬х殑姣旇純鍒ゅ垾娉曞拰姣斿€煎垽鍒ユ硶锛屾渻鐢ㄦ牴鍊煎垽鍒ユ硶.
锛�4锛夋帉鎻′氦閷礆鏁�(sh霉)鐨勮悐甯冨凹鑼ㄥ垽鍒ユ硶.
锛�5锛変簡瑙d换鎰忛爡绱氭暩(sh霉)绲曞皪鏀舵杺鑸囨浠舵敹鏂傜殑姒傚康浠ュ強绲曞皪鏀舵杺鑸囨敹鏂傜殑闂�(gu膩n)
绯�.
锛�6锛変簡瑙e嚱鏁�(sh霉)闋呯礆鏁�(sh霉)鐨勬敹鏂傚煙鍙婂拰鍑芥暩(sh霉)鐨勬蹇�.
锛�7锛夌悊瑙e啰绱氭暩(sh霉)鏀舵杺鍗婂緫鐨勬蹇�銆佸苟鎺屾彙鍐礆鏁�(sh霉)鐨勬敹鏂傚崐寰�銆佹敹鏂傚崁(q奴)闁撳強
鏀舵杺鍩熺殑姹傛硶.
锛�8锛変簡瑙e啰绱氭暩(sh霉)鍦ㄥ叾鏀舵杺鍗€(q奴)闁撳収(n猫i)鐨勫熀鏈€ц唱(zh矛)锛堝拰鍑芥暩(sh霉)鐨勯€g簩(x霉)鎬�銆侀€愰爡姹傚皫(d菐o)
鍜岄€愰爡绌嶅垎锛�锛屾渻姹備竴浜涘啰绱氭暩(sh霉)鍦ㄦ敹鏂傚崁(q奴)闁撳収(n猫i)鐨勫拰鍑芥暩(sh霉)锛屽苟鏈冪敱姝ゆ眰鍑烘煇浜涙暩(sh霉)闋�
绱氭暩(sh霉)鐨勫拰.
锛�9锛変簡瑙e嚱鏁�(sh霉)灞曢枊鐐烘嘲鍕掔礆鏁�(sh霉)鐨勫厖鍒嗗繀瑕佹浠�.
锛�10锛夋帉鎻�
x
e 锛宻in x 锛宑os x 锛宭n(1 )x?
鍙�(1 )x
?
?
鐨勯亥鍏嬪嫗鏋楋紙Maclaurin锛夊睍闁�
寮�锛屾渻鐢ㄥ畠鍊戝皣涓€浜涚啊鍠嚱鏁�(sh霉)闁撴帴灞曢枊鐐哄啰绱氭暩(sh霉).
锛�11锛変簡瑙e倕閲岃憠绱氭暩(sh霉)鐨勬蹇靛拰鐙勫埄鍏嬮浄鏀舵杺瀹氱悊锛屾渻灏囧畾缇╁湪[ , ]l l?
涓婄殑
鍑芥暩(sh霉)灞曢枊鐐哄倕閲岃憠绱氭暩(sh霉)锛屾渻灏囧畾缇╁湪[0, ]l
涓婄殑鍑芥暩(sh霉)灞曢枊鐐烘寮︾礆鏁�(sh霉)鑸囦綑寮︾礆鏁�(sh霉)锛�
鏈冨鍑哄倕閲岃憠绱氭暩(sh霉)鐨勫拰鍑芥暩(sh霉)鐨勮〃閬斿紡.
8銆佸父寰垎鏂圭▼
鑰冭│鍏�(n猫i)瀹�
甯稿井鍒嗘柟绋嬬殑鍩烘湰姒傚康 璁婇噺鍙垎闆㈢殑寰垎鏂圭▼ 榻婃寰垎鏂圭▼ 涓€闅庣窔
鎬у井鍒嗘柟绋� 浼姫鍒� 锛圔ernoulli锛夋柟绋� 鍏ㄥ井鍒嗘柟绋� 鍙敤绨″柈鐨勮畩閲忎唬鎻涙眰
瑙g殑鏌愪簺寰垎鏂圭▼ 鍙檷闅庣殑楂橀殠寰垎鏂圭▼ 绶氭€у井鍒嗘柟绋嬭В鐨勬€ц唱(zh矛)鍙婅В鐨勭祼(ji茅)
妲�(g貌u)瀹氱悊 浜岄殠甯哥郴鏁�(sh霉)榻婃绶氭€у井鍒嗘柟绋� 楂樹簬浜岄殠鐨勬煇浜涘父绯绘暩(sh霉)榻婃绶氭€у井鍒�
鏂圭▼ 绨″柈鐨勪簩闅庡父绯绘暩(sh霉)闈為綂娆$窔鎬у井鍒嗘柟绋� 寰垎鏂圭▼鐨勭啊鍠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▼锛屾渻鐢ㄧ啊鍠殑璁婇噺浠f彌
瑙f煇浜涘井鍒嗘柟绋嬶紟
锛�4锛夋渻鐢ㄩ檷闅庢硶瑙d笅鍒楀舰寮忕殑寰垎鏂圭▼锛�
( )
( ), ( , )
n
y f x y f x y?? ?? ?
鍜� ( , )y f y y?? ?? 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硶锛屽苟鏈冭В鏌愪簺楂樹簬浜岄殠鐨勫父
绯绘暩(sh霉)榻婃绶氭€у井鍒嗘柟绋�.
锛�7锛夋渻瑙h嚜鐢遍爡鐐哄闋呭紡銆佹寚鏁�(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�
鑸囩⿳鐨勪簩闅庡父绯绘暩(sh霉)闈為綂娆$窔鎬у井鍒嗘柟绋嬶紟
锛�8锛夋渻鐢ㄥ井鍒嗘柟绋嬭В姹轰竴浜涚啊鍠殑鎳�(y墨ng)鐢ㄥ晱椤岋紟
涓�銆佸弮鑰冩浉鐩�
[1] 鍚屾繜澶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] 婀栧崡甯寖澶у(xu茅)绶� 楂樼瓑鏁�(sh霉)瀛�(xu茅) 婀栧崡甯寖澶у(xu茅)鍑虹増绀�锛�2007.

鍏嶈铂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�锛屽彟锛氭湰鏂囧儏浠h〃浣滆€呭€嬩汉瑙€榛烇紝鑸囨湰缍�(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�銆佹枃瀛楃殑鐪熷鎬�銆佸畬鏁存€с€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�锛屽苟璜嬭嚜琛屾牳瀵︾浉闂�(gu膩n)鍏�(n猫i)瀹�銆�

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