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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骞达紱鍧囨彁渚涙敹璨讳笅杓�銆� 涓嬭級娴佺▼锛� 鑰冪爺鐪熼 榛炴搳鈥�鑰冪爺瑭﹀嵎鈥濃€濅笅杓�; 鑰冨崥鐪熼 榛炴搳鈥�鑰冨崥瑭﹀嵎搴�鈥� 涓嬭級
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604] 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 150 鍒�锛岃€冭│鏅傞枔鐐� 180 鍒嗛悩銆�
2) 绛旈鏂瑰紡锛氶枆鍗�銆佺瓎瑭�
3) 椤屽瀷绲�(ji茅)妲�(g貌u)
a: 绨＄瓟椤�锛岀磩 30 鍒�
b: 瑙ｇ瓟椤�(鍖呮嫭璀夋槑椤�)锛岀磩 120 鍒�
4锛夊収(n猫i)瀹圭祼(ji茅)妲�(g貌u)
寰⿳鍒� 绱� 70% 绶氭€т唬鏁�(sh霉) 绱� 30%
浜�銆佽€冭│鍏�(n猫i)瀹硅垏鑰冭│瑕佹眰
锛堜竴锛� 寰⿳鍒�
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)閫ｇ簩(x霉)鐨勬蹇� 鍑芥暩(sh霉)闁撴柗榛炵殑椤炲瀷 鍒濈瓑鍑芥暩(sh霉)鐨勯€ｇ簩(x霉)鎬� 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€с€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�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)鍙婂洓鍓囬亱绠楁硶鍓�.
锛�7锛夋帉鎻℃サ闄愬瓨鍦ㄧ殑鍏╁€嬫簴鍓�锛屽苟鏈冨埄鐢ㄥ畠鍊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€�銆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�锛岀悊瑙ｅ皫(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▼鍜屾硶绶氭柟绋嬶紝浜嗚В灏�(d菐o)鏁�(sh霉)鐨勭墿鐞嗘剰缇�锛屾渻鐢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�锛� ( )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�锛岀悊瑙ｄ笉瀹氱⿳鍒嗗拰瀹氱⿳鍒嗙殑姒傚康锛�
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╁悜閲忓瀭鐩淬€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�銆佸钩闈㈣垏鐩寸窔銆佺洿绶氳垏鐩寸窔鐨勫ぞ瑙掍互鍙婂钩琛屻€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�銆佹暩(sh霉)閲忕⿳銆佸悜閲忕⿳銆佹贩鍚堢⿳锛夛紝浜嗚В鍏╁€�
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
褰憋紝骞舵渻姹傝┎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� 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拰娉曠窔鐨勬蹇碉紝鏈冩眰瀹�
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�锛屾渻鐢ㄦ媺鏍兼湕鏃�
涔樻暩(sh霉)娉曟眰姊濅欢妤靛€硷紝鏈冩眰绨″柈澶氬厓鍑芥暩(sh霉)鐨勬渶澶у€煎拰鏈€灏忓€�锛屽苟鏈冭В姹轰竴浜涚啊鍠殑
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�锛屾渻瑷堢畻涓夐噸绌嶅垎锛堢洿
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点€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�
寮忥紝鏈冪敤瀹冨€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�
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[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.
[3] 鍚屾繜澶у(xu茅)鏁�(sh霉)瀛�(xu茅)绯荤法. 绶氭€т唬瀛�(xu茅)锛堢浜旂増锛�. 楂樼瓑鏁欒偛鍑虹増绀�, 2007
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�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с€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�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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