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鍙嬫儏鎻愮ず锛氭湰绔欐彁渚涘叏鍦�(gu贸)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骞达紝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�(k霉)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�750 鑰冭│绉戠洰鍚嶇ū锛氭暩(sh霉)瀛�(xu茅)鍩虹(ch菙)缍滃悎
涓€銆佽│鍗风祼(ji茅)妲�(g貌u)
1) 瑭﹀嵎鎴愮妇(j墨)鍙婅€冭│鏅�(sh铆)闁�
鏈│鍗锋豢鍒嗙偤 300 鍒�锛岃€冭│鏅�(sh铆)闁撶偤 180 鍒嗛悩銆�
2)绛旈鏂瑰紡锛氶枆鍗�銆佺瓎瑭�
3)瑭﹀嵎鍏�(n猫i)瀹圭祼(ji茅)妲�(g貌u)
鏁�(sh霉)瀛�(xu茅)鍒嗘瀽閮ㄥ垎 60% 绶氭€т唬鏁�(sh霉)閮ㄥ垎 40%
4)椤屽瀷绲�(ji茅)妲�(g貌u)
a: 鍠爡(xi脿ng)閬告搰椤岋紝 绱� 70 鍒�
b: 濉┖椤�锛岀磩 50 鍒�
c: 瑙ｇ瓟椤�(鍖呮嫭璀夋槑椤�)锛岀磩 180 鍒�
浜屻€佽€冭│鍏�(n猫i)瀹硅垏鑰冭│瑕佹眰
锛堜竴锛夋暩(sh霉)瀛�(xu茅)鍒嗘瀽閮ㄥ垎
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€�銆佸柈瑾�(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�(y霉n)绠� 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� 鍏╁€�(g猫)閲嶈妤甸檺
鍑芥暩(sh霉)閫ｇ簩(x霉)鐨勬蹇� 鍑芥暩(sh霉)闁撴柗榛�(di菐n)鐨勯鍨� 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(hu矛)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�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)鍓囷紝骞舵渻(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�
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(hu矛)鐢ㄧ瓑鍍�(ji脿)
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�锛屾渻(hu矛)鍒ゅ垾鍑芥暩(sh霉)闁撴柗榛�(di菐n)鐨勯
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э紝鐞嗚В闁夊崁(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€�銆佹渶澶у€煎拰鏈€灏忓€煎畾鐞嗐€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 灏�(d菐o)鏁�(sh霉)鐨勫咕浣曟剰缇� 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�
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�(y霉n)绠� 鍩烘湰鍒濈瓑鍑芥暩(sh霉)鐨勫皫(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�
褰㈠紡鐨勪笉璁婃€� 寰垎涓€煎畾鐞� 娲涘繀閬�(d谩)锛圠鈥橦ospital锛夋硶鍓� 鍑芥暩(sh霉)鍠(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�(di菐n)鍙婃几杩戠窔 鍑芥暩(sh霉)鍦栧舰鐨勬弿绻� 鍑芥暩(sh霉)鐨勬渶澶�
鍊艰垏鏈€灏忓€�
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(hu矛)姹傚钩闈㈡洸绶氱殑鍒囩窔鏂圭▼鍜屾硶绶氭柟绋�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�锛屾渻(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�
鍑芥暩(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�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(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€�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
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(ji菐n)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(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)绠楀钩闈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�
鐨勯珨绌嶅強鍋�(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�.
4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� 浜屽厓鍑芥暩(sh霉)鐨勪簩闅庢嘲
鍕掑叕寮� 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(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(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)鐨勬サ鍊硷紝鏈�(hu矛)鐢ㄦ媺鏍兼湕鏃�
涔樻暩(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€硷紝骞舵渻(hu矛)瑙ｆ焙涓€浜涚啊(ji菐n)鍠殑
鎳�(y墨ng)鐢ㄥ晱椤�.
5銆佸鍏冨嚱鏁�(sh霉)绌嶅垎瀛�(xu茅)
鑰冭│鍏�(n猫i)瀹�
浜岄噸绌嶅垎鐨勬蹇�銆佹€ц唱(zh矛)銆佽▓(j矛)绠楀拰鎳�(y墨ng)鐢�
鑰冭│瑕佹眰
锛�1锛夌悊瑙ｄ簩閲嶇⿳鍒嗙殑姒傚康锛屼簡瑙ｄ簩閲嶇⿳鍒嗙殑鎬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�.
6銆佺劇绐礆(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 鏀舵杺绱�(j铆)鏁�(sh霉)鐨勫拰鐨勬蹇� 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 骞句綍绱�(j铆)鏁�(sh霉)鑸� p 绱�(j铆)鏁�(sh霉)鍙婂叾鏀舵杺鎬� 姝ｉ爡(xi脿ng)绱�(j铆)鏁�(sh霉)鏀舵杺鎬х殑鍒ゅ垾娉�
浜ら尟(cu貌)绱�(j铆)鏁�(sh霉)鑸囪悐甯冨凹鑼ㄥ畾鐞� 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� 鍐礆(j铆)鏁�(sh霉)鍙婂叾鏀�
鏂傚崐寰戙€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(j铆)鏁�(sh霉)鐨勫拰鍑芥暩(sh霉) 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� 鍒濈瓑鍑芥暩(sh霉)鐨勫啰绱�(j铆)鏁�(sh霉)灞曢枊寮�
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� p
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牴鍊煎垽鍒ユ硶鍜�
鏌タ锛圕aucy锛夌⿳鍒嗗垽鍒ユ硶.
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�7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с€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�8锛変簡瑙ｅ嚱鏁�(sh霉)灞曢枊鐐烘嘲鍕掔礆(j铆)鏁�(sh霉)鐨勫厖鍒嗗繀瑕佹浠�.
锛�9锛夋帉鎻� x
e 锛宻inx锛� c
x )1( ? 锛屽強鐨勯亥鍏嬪嫗鏋楋紙Maclaurin锛夊睍闁嬪紡锛屾渻(hu矛)鐢�
瀹冨€戝皣涓€浜涚啊(ji菐n)鍠嚱鏁�(sh霉)闁撴帴灞曢枊鐐哄啰绱�(j铆)鏁�(sh霉).
锛堜簩锛夐珮绛変唬鏁�(sh霉)
1銆佸闋�(xi脿ng)寮�
鑰冭│鍏�(n猫i)瀹�
鏁�(sh霉)鍩�锛屼竴鍏冨闋�(xi脿ng)寮�锛屾暣闄ょ殑姒傚康锛屾渶澶у叕鍥犲紡锛屽洜寮忓垎瑙ｅ畾鐞�锛岄噸鍥犲紡锛屽
闋�(xi脿ng)寮忓嚱鏁�(sh霉)锛屽京(f霉)绯绘暩(sh霉)鑸囧(sh铆)绯绘暩(sh霉)澶氶爡(xi脿ng)寮忕殑鍥犲紡鍒嗚В锛屾湁鐞嗙郴鏁�(sh霉)澶氶爡(xi脿ng)寮�銆�
鑰冭│瑕佹眰
锛�1锛夋帉鎻℃暩(sh霉)鍩熺殑瀹氱京锛屽苟鏈�(hu矛)鍒ゆ柗涓€鍊�(g猫)浠ｆ暩(sh霉)绯荤当(t菕ng)鏄惁鏄暩(sh霉)鍩�銆�
锛�2锛夌悊瑙ｆ暩(sh霉)鍩� P 涓婁竴鍏冨闋�(xi脿ng)寮忕殑瀹氱京锛屽闋�(xi脿ng)寮忕浉涔�锛屾鏁�(sh霉)锛屼竴鍏冨闋�(xi脿ng)寮忕挵(hu谩n)
绛夋蹇点€傛帉鎻″闋�(xi脿ng)寮忕殑閬�(y霉n)绠楀強閬�(y霉n)绠楀緥銆�
锛�3锛夌悊瑙ｆ暣闄ょ殑瀹氱京锛岀啛绶存帉鎻″付浣欓櫎娉曞強鏁撮櫎鐨勬€ц唱(zh矛)銆�
锛�4锛夌悊瑙ｅ拰鎺屾彙鍏╁€�(g猫)锛堟垨鑻ュ共鍊�(g猫)锛夊闋�(xi脿ng)寮忕殑鏈€澶у叕鍥犲紡锛屼簰绱犵瓑姒傚康鍙婃€�
璩�(zh矛)銆傝兘鐢ㄨ季杞�(zhu菐n)鐩搁櫎娉曟眰鍏╁€�(g猫)澶氶爡(xi脿ng)寮忕殑鏈€澶у叕鍥犲紡銆�
锛�5锛夋帉鎻′笉鍙磩澶氶爡(xi脿ng)寮忕殑瀹氱京鍙婃€ц唱(zh矛)銆備簡瑙ｅ洜寮忓垎瑙ｅ畾鐞�銆�
锛�6锛夋帉鎻� k 閲嶅洜寮忕殑瀹氱京銆�
锛�7锛夋帉鎻″闋�(xi脿ng)寮忓嚱鏁�(sh霉)鐨勬蹇�锛屼綑鏁�(sh霉)瀹氱悊锛屽闋�(xi脿ng)寮忕殑鏍瑰強鎬ц唱(zh矛)銆傜悊瑙ｄ唬鏁�(sh霉)鍩�
鏈畾鐞�銆傜啛绶存帉鎻″京(f霉)锛堝(sh铆)锛夌郴鏁�(sh霉)澶氶爡(xi脿ng)寮忓垎瑙ｅ畾鐞嗗強妯�(bi膩o)婧�(zh菙n)鍒嗚В寮忋€�
锛�8锛夋帉鎻℃湰鍘熷闋�(xi脿ng)寮忕殑瀹氱京鍙婃€ц唱(zh矛)銆� 鎺屾彙鏁寸郴鏁�(sh霉)澶氶爡(xi脿ng)寮忕殑鏈夌悊鏍圭殑瑷�(j矛)绠�銆�
2銆佽鍒楀紡
鑰冭│鍏�(n猫i)瀹�
鎺掑垪锛宯 绱�(j铆)琛屽垪寮忕殑瀹氱京锛宯 绱�(j铆)琛屽垪寮忕殑鎬ц唱(zh矛)锛宯 绱�(j铆)琛屽垪寮忕殑灞曢枊锛岃鍒楀紡
鐨勮▓(j矛)绠楋紝鍏嬫媺榛�(Cramer)娉曞墖锛岃鍒楀紡鐨勪箻娉曡(gu墨)鍓囥€�
鑰冭│瑕佹眰
锛�1锛夋帉鎻℃帓鍒�銆侀€嗗簭銆侀€嗗簭鏁�(sh霉)銆佸鍋舵帓鍒楃殑瀹氱京銆傛帉鎻℃帓鍒楃殑濂囧伓鎬ц垏灏�(du矛)
鎻涚殑闂�(gu膩n)绯�銆�
锛�2锛夌悊瑙� n 绱�(j铆)琛屽垪寮忕殑瀹氱京锛屽苟鑳界敤瀹氱京瑷�(j矛)绠椾竴浜涚壒娈婅鍒楀紡銆�
锛�3锛夋帉鎻¤鍒楀紡鐨勫熀鏈€ц唱(zh矛)銆�
锛�4锛夌悊瑙ｇ煩闄�銆佺煩闄ｇ殑琛屽垪寮�銆佺煩闄ｇ殑鍒濈瓑璁婃彌绛夋蹇�锛岃兘鍒╃敤琛屽垪寮忔€�
璩�(zh矛)瑷�(j矛)绠椾竴浜涚啊(ji菐n)鍠鍒楀紡銆�
锛�5锛夌悊瑙ｅ厓绱犵殑浣欏瓙寮�銆佷唬鏁�(sh霉)浣欏瓙寮忕瓑姒傚康銆傜啛绶存帉鎻¤鍒楀紡鎸変竴琛岋紙鍒楋級
灞曢枊鐨勫叕寮�銆傛帉鎻¤▓(j矛)绠楄鍒楀紡鐨勫熀鏈柟娉曡垏鎶€宸с€�
锛�6锛夌啛绶存帉鎻″厠鎷夐粯(Cramer)娉曞墖锛�
3銆佺窔鎬ф柟绋嬬祫
鑰冭│鍏�(n猫i)瀹�
娑堝厓娉�锛宯 缍悜閲忕┖闁�锛岀窔鎬х浉闂�(gu膩n)鎬�锛岀煩闄ｇ殑绉�锛岀窔鎬ф柟绋嬬祫鏈夎В鍒ゅ垾瀹氱悊锛�
绶氭€ф柟绋嬬祫瑙ｇ殑绲�(ji茅)妲�(g貌u)銆�
鑰冭│瑕佹眰
锛�1锛夋帉鎻′竴鑸窔鎬ф柟绋嬬祫锛屾柟绋嬬祫鐨勮В锛屽寤ｇ煩闄�锛岀窔鎬ф柟绋嬬祫鐨勫垵绛夎畩
鎻涚瓑姒傚康鍙婃€ц唱(zh矛)銆傛帉鎻￠殠姊舰鏂圭▼绲勭殑鐗瑰緛鍙婁綔鐢�銆傛渻(hu矛)姹傜窔鎬ф柟绋嬬祫鐨勪竴鑸В銆�
锛�2锛夋帉鎻� n 缍悜閲忓強鍏╁€�(g猫) n 缍悜閲忕浉绛夌殑瀹氱京銆傜啛绶存帉鎻″悜閲忕殑閬�(y霉n)绠楄(gu墨)寰�
鍜屾€ц唱(zh矛)銆�
锛�3锛夌悊瑙ｇ窔鎬х祫鍚�銆佺窔鎬х浉闂�(gu膩n)銆佺窔鎬х劇闂�(gu膩n)鐨勫畾缇╁強鎬ц唱(zh矛)銆傛帉鎻″叐鍊�(g猫)鍚戦噺绲�
绛夊児(ji脿)鐨勫畾缇╁強绛夊児(ji脿)鎬ц唱(zh矛)瀹氱悊銆傜悊瑙ｅ悜閲忕祫鐨勬サ澶х劇闂�(gu膩n)绲�銆佺З鐨勫畾缇�锛屽苟鏈�(hu矛)姹傚悜閲�
绲勭殑涓€鍊�(g猫)妤靛ぇ鐒￠棞(gu膩n)绲�銆�
锛�4锛夋帉鎻＄煩闄ｇ殑琛岀З銆佸垪绉�锛屼互鍙婄煩闄ｇ殑绉╃殑瀹氱京銆傛帉鎻＄煩闄ｇ殑绉╄垏鍏跺瓙
寮忕殑闂�(gu膩n)绯�銆�
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锛�2锛夋帉鎻＄煩闄ｄ箻绌嶇殑琛屽垪寮忓畾鐞�锛岀煩闄ｄ箻绌嶇殑绉╄垏瀹冪殑鍥犲瓙鐨勭З鐨勯棞(gu膩n)绯�銆�
锛�3锛夋帉鎻″彲閫嗙煩闄ｃ€侀€嗙煩闄�銆佷即闅ㄧ煩闄ｇ瓑姒傚康锛屾帉鎻′竴鍊�(g猫) n 闅庢柟闄ｅ彲閫嗙殑
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锛�2锛夌悊瑙ｄ簩娆″瀷鐨勬(bi膩o)婧�(zh菙n)褰�锛屾帉鎻″寲浜屾鍨嬬偤妯�(bi膩o)婧�(zh菙n)褰㈢殑鍏╃ó鍩烘湰鏂规硶銆�
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鎻℃瀹氫簩娆″瀷锛堝崐姝ｅ畾浜屾鍨嬶級鐨勮嫢骞茬瓑鍍�(ji脿)姊濅欢銆�
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璁婃彌锛岀窔鎬у瓙绌洪枔锛屽瓙绌洪枔鐨勪氦鑸囧拰锛屽瓙绌洪枔鐨勭洿鍜�锛岀窔鎬х┖闁撶殑鍚屾(g貌u)銆�
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锛�2锛夌悊瑙ｇ窔鎬х祫鍚�銆佺窔鎬ц〃绀恒€佺窔鎬х浉闂�(gu膩n)銆佺窔鎬х劇闂�(gu膩n)绛夋蹇�锛屾纰虹悊瑙ｅ拰
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鍜屾€ц唱(zh矛)锛屾帉鎻″悜閲忕祫鐢熸垚瀛愮┖闁撶殑瀹氱京鍙婄瓑鍍�(ji脿)姊濅欢銆�
锛�6锛夋帉鎻″瓙绌洪枔鐨勪氦鑸囧拰鐨勫畾缇╁強鎬ц唱(zh矛)锛屾帉鎻＄董鏁�(sh霉)鍏紡骞惰兘鐔熺反閬�(y霉n)鐢�銆�
锛�7锛夌悊瑙ｅ瓙绌洪枔鐨勭洿鍜岀殑姒傚康锛屼互鍙婂垽鏂风洿鍜岀殑鑻ュ共鍏呰姊濅欢銆�
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锛�3锛夋帉鎻＄窔鎬ц畩鎻涜垏鐭╅櫍鐨勮伅(li谩n)绯�锛屾帉鎻＄煩闄ｇ浉浼肩殑姒傚康鍜岀窔鎬ц畩鎻涘湪涓嶅悓
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锛�4锛夌悊瑙ｇ煩闄ｇ殑鐗瑰緛鍊�銆佺壒寰佸悜閲�銆佺壒寰佸闋�(xi脿ng)寮忕殑姒傚康鍜屾€ц唱(zh矛)锛屾渻(hu矛)姹備竴鍊�(g猫)
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锛�7锛夋帉鎻′笉璁婂瓙绌洪枔鐨勫畾缇�锛屾渻(hu矛)鍒ゅ畾涓€鍊�(g猫)瀛愮┖闁撴槸鍚︽槸 A-瀛愮┖闁�锛岀悊瑙ｄ笉
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浼兼(bi膩o)婧�(zh菙n)褰�锛屽悜閲忓埌瀛愮┖闁撶殑璺濋洟銆�
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锛�1锛夌悊瑙ｆ瓙姘忕┖闁撶殑瀹氱京鍙婃€ц唱(zh矛)锛岀悊瑙ｅ収(n猫i)绌嶇殑鏈唱(zh矛)锛屾帉鎻″悜閲忕殑闀�(zh菐ng)搴︼紝鍏�
鍊�(g猫)鍚戦噺鐨勫ぞ瑙�銆佸柈浣嶅悜閲�銆佹浜ゅ強搴﹂噺鐭╅櫍绛夋蹇靛拰鍩烘湰鎬ц唱(zh矛)锛屾帉鎻″悇绋蹇典箣
闁撶殑鑱�(li谩n)绯诲拰鍗€(q奴)鍒�銆�
锛�2锛夌悊瑙ｆ浜ゅ悜閲忕祫銆佹(bi膩o)婧�(zh菙n)姝ｄ氦鍩虹殑姒傚康锛屾帉鎻℃柦瀵嗙壒姝ｄ氦鍖栭亷绋�锛屽苟鑳�
鎶婁竴绲勭窔鎬х劇闂�(gu膩n)鐨勫悜閲忓寲鐐哄柈浣嶆浜ょ殑鍚戦噺銆�
锛�3锛夌悊瑙ｆ浜よ畩鎻涚殑姒傚康鍙婂咕鍊�(g猫)绛夊児(ji脿)闂�(gu膩n)绯�锛屾帉鎻℃浜よ畩鎻涜垏鍚戦噺鐨勯暦(zh菐ng)搴︼紝
妯�(bi膩o)婧�(zh菙n)姝ｄ氦鍩�锛屾浜ょ煩闄ｉ枔鐨勯棞(gu膩n)绯汇€�
锛�4锛夌悊瑙ｅ叐鍊�(g猫)瀛愮┖闁撴浜ょ殑姒傚康锛屾帉鎻℃浜よ垏鐩村拰鐨勯棞(gu膩n)绯伙紝鍙婃湁闄愮董姝愭皬
绌洪枔涓殑姣忎竴鍊�(g猫)瀛愮┖闁撻兘鏈夊敮涓€鐨勬浜よ(b菙)鐨勬€ц唱(zh矛)銆�
锛�5锛夌悊瑙ｅ苟鎺屾彙浠讳竴鍊�(g猫)瀵�(sh铆)灏�(du矛)绋辩煩闄ｅ潎鍙浜ょ浉浼间簬涓€鍊�(g猫)灏�(du矛)瑙掗櫍锛屽苟鎺屾彙姹�
姝ｄ氦闄ｇ殑鏂规硶銆傝兘鐢ㄦ浜よ畩鎻涘寲瀵�(sh铆)浜屾鍨嬬偤妯�(bi膩o)婧�(zh菙n)鍨�銆�
涓�銆佸弮鑰冩浉鐩�
1銆佸京(f霉)鏃﹀ぇ瀛�(xu茅)鏁�(sh霉)瀛�(xu茅)绯荤法.鏁�(sh霉)瀛�(xu茅)鍒嗘瀽锛堢涓夌増锛�. 楂樼瓑鏁欒偛鍑虹増绀�, 2007
2銆佸寳浜ぇ瀛�(xu茅)鏁�(sh霉)瀛�(xu茅)绯荤法 锛岄珮绛変唬鏁�(sh霉) (绗笁鐗�)锛岄珮绛夋暀鑲插嚭鐗堢ぞ, 鍖椾含锛�2003锛�锛�
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�锛屽彟锛氭湰鏂囧儏浠ｈ〃浣滆€呭€�(g猫)浜鸿榛�(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(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�銆佹枃瀛楃殑鐪熷(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�
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鎮ㄧ従(xi脿n)鍦ㄧ殑浣嶇疆锛� 
