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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�锛涘潎鎻愪緵鏀惰不涓嬭級銆� 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
2019 骞�瑗垮崡绉戞妧澶у(xu茅)纰╁＋鐮旂┒鐢熸嫑鐢熻€冭│锛堝垵瑭︼級
鑷懡椤岀鐩€冭│澶х侗
602 楂樼瓑鏁�(sh霉)瀛�(xu茅)鈪�
鈥� 浣跨敤鏈鐩殑鎷涚敓瀛�(xu茅)绉�/椤炲垾
瀛�(xu茅)绉�/椤炲垾鍚嶇ū鍙婁唬纰煎(xu茅)绉�/椤炲垾鎵€鍦ㄥ(xu茅)闄�
0702 鐗╃悊瀛�(xu茅) 鍦嬮槻绉戞妧瀛�(xu茅)闄�
涓€銆佺附楂旇姹�
瑕佹眰鑰冪敓鍏锋湁鎶借薄鎬濈董鑳藉姏銆侀倧杓帹鐞嗚兘鍔�銆佺┖闁撴兂璞¤兘鍔涖€侀亱绠楄兘鍔涘拰缍滃悎閬�
鐢ㄦ墍瀛�(xu茅)鐨勭煡璀樺垎鏋愬晱椤屽拰瑙ｆ焙鍟忛鐨勮兘鍔�銆傜郴绲�(t菕ng)鍦扮悊瑙ｅ拰鎺屾彙鍑芥暩(sh霉)寰垎瀛�(xu茅)銆佸嚱鏁�(sh霉)绌嶅垎
瀛�(xu茅)銆佺劇绐礆鏁�(sh霉)銆佸父寰垎鏂圭▼銆佸悜閲忎唬鏁�(sh霉)鍜岀┖闁撹В鏋愬咕浣曠殑鍩烘湰姒傚康銆佸熀鏈悊璜栧拰鍩烘湰
鍒嗘瀽鏂规硶锛屽苟闈堟椿鎳�(y墨ng)鐢�銆�
1锛庢帉鎻″熀鏈垵绛夊嚱鏁�(sh霉)鎬ц唱(zh矛)鍙婇亱绠�锛屾帉鎻℃眰鍑芥暩(sh霉)妤甸檺鏂规硶锛岃兘閬嬬敤鍑芥暩(sh霉)閫ｇ簩(x霉)鎬ц唱(zh矛)瑙�
姹虹浉闂�(gu膩n)鍟忛銆�
2锛庣悊瑙ｇ緟鐖惧畾鐞嗐€佹媺鏍兼湕鏃ヤ腑鍊煎畾鐞�銆佹嘲鍕掑畾鐞�锛屾帉鎻″嚱鏁�(sh霉)鍩烘湰姹傚皫(d菐o)寮�锛屾嘲鍕掑叕
寮�锛岃兘姹傝В鍑芥暩(sh霉)妤靛€�銆佹柟鍚�?q奴)顫�?sh霉)銆佹搴︾瓑銆�
3锛庢帉鎻＄敤绌嶅垎琛ㄩ仈(d谩)鍜岃▓绠楀咕浣曢噺鑸囩墿鐞嗛噺锛屾帉鎻′簩閲嶇⿳鍒�銆佹洸闈㈢⿳鍒嗚▓绠楁柟娉曪紝
姹傝В鐭㈤噺鐨勬暎搴﹀拰鏃嬪害绛�銆�
4. 鐔熸倝绌洪枔涓夌ó鍧愭(bi膩o)绯�锛屽悜閲忛棞(gu膩n)绯荤瓑锛屾帉鎻″钩闈㈡柟绋嬪拰绌洪枔鐩寸窔鏂圭▼鐨勬眰娉曠瓑銆�
5锛庢帉鎻＄礆鏁�(sh霉)鏂傛暎鎬у垽鏂锋柟娉�锛屾渻鍒╃敤鍑芥暩(sh霉)鍐礆鏁�(sh霉)灞曢枊寮忛€�(j矛n)琛岃繎浼艰▓绠�锛屾帉鎻＄浉闂�(gu膩n)
鍑芥暩(sh霉)鍌呴噷钁夌礆鏁�(sh霉)灞曢枊鏂规硶绛�銆�
6. 鎺屾彙鍙垎闆㈣畩閲�銆佷簩闅庡父绯绘暩(sh霉)绛夊井鍒嗘柟绋嬫眰瑙ｆ柟娉�锛岀敤寰垎鏂圭▼瑙ｆ焙绨″柈鐨勬噳(y墨ng)鐢�
鍟忛绛�銆�
浜�銆佸収(n猫i)瀹瑰強姣斾緥
1. 鍑芥暩(sh霉)銆佹サ闄�銆侀€ｇ簩(x霉)锛垀20%锛�
鐭ヨ瓨榛烇細鍑芥暩(sh霉)鐨勬湁鐣屾€�锛屽柈瑾�(di脿o)鎬э紝鍛ㄦ湡鎬у拰濂囧伓鎬�锛屽京(f霉)鍚堝嚱鏁�(sh霉)锛屽弽鍑芥暩(sh霉)锛屽垎娈靛嚱
鏁�(sh霉)鍜岄毐鍑芥暩(sh霉)锛屽熀鏈垵绛夊嚱鏁�(sh霉)鐨勬€ц唱(zh矛)鍙婂叾鍦栧舰锛涙暩(sh霉)鍒楁サ闄愯垏鍑芥暩(sh霉)妤甸檺锛岀劇绐皬鍜岀劇绐ぇ
鐨勬蹇靛強鍏堕棞(gu膩n)绯�锛岀劇绐皬鐨勬€ц唱(zh矛)鍙婄劇绐皬鐨勬瘮杓�锛屾サ闄愮殑鍥涘墖閬嬬畻锛屾サ闄愬瓨鍦ㄧ殑鍠(di脿o)
54
鏈夌晫婧�(zh菙n)鍓囧拰澶鹃€兼簴(zh菙n)鍓�锛屽叐鍊嬮噸瑕佹サ闄�锛涘嚱鏁�(sh霉)閫ｇ簩(x霉)锛屽嚱鏁�(sh霉)闁撴柗榛炵殑椤炲瀷锛屽垵绛夊嚱鏁�(sh霉)鐨勯€�
绾�(x霉)鎬э紝闁夊崁(q奴)闁撲笂閫ｇ簩(x霉)鍑芥暩(sh霉)鐨勬€ц唱(zh矛)銆�
閲嶉粸锛� 鍑芥暩(sh霉)妤甸檺锛屽嚱鏁�(sh霉)閫ｇ簩(x霉)鎬х殑鎳�(y墨ng)鐢�
2.鍑芥暩(sh霉)寰垎瀛�(xu茅)锛垀20%锛�
鐭ヨ瓨榛烇細鍑芥暩(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�锛屽钩闈㈡洸绶氱殑鍒囩窔鍜屾硶绶氾紝寰�(f霉)鍚堝嚱
鏁�(sh霉)锛屽弽鍑芥暩(sh霉)锛岄毐鍑芥暩(sh霉)鐨勫皫(d菐o)鏁�(sh霉)锛屽井鍒嗕腑鍊煎畾鐞�锛屾礇蹇呴仈(d谩)娉曞墖锛屽嚱鏁�(sh霉)鐨勬サ鍊艰垏鏈€鍊�锛屽嚱鏁�(sh霉)
鍠(di脿o)鎬�锛屽嚱鏁�(sh霉)鍦栧舰鐨勫嚬鍑告€�锛屾嫄榛炲強婕歌繎绶�锛涚┖闁撴洸绶氱殑鍒囩窔鍜屾硶骞抽潰锛屾洸闈㈢殑鍒囧钩
闈㈠拰娉曠窔锛屾柟鍚�?q奴)顫�?sh霉)鍜屾搴︼紝浜屽厓鍑芥暩(sh霉)鐨勬嘲鍕掑叕寮�锛屾媺鏍兼湕鏃ヤ箻鏁�(sh霉)娉�銆�
閲嶉粸锛� 缇呯埦瀹氱悊銆佹媺鏍兼湕鏃ヤ腑鍊煎畾鐞嗐€佹嘲鍕掑畾鐞�锛屾嘲鍕掑叕寮�锛屽嚱鏁�(sh霉)妤靛€�銆佹柟鍚�?q奴)?br/>鏁�(sh霉)銆佹搴�
3.鍑芥暩(sh霉)绌嶅垎瀛�(xu茅)锛垀20%锛�
鐭ヨ瓨榛烇細鐗涢爴锛嶈悐甯冨凹鑼紙 Newton 锛� Leibniz 锛夊叕寮�锛屽畾绌嶅垎涓€煎畾鐞嗭紝璁婁笂闄�
瀹氱⿳鍒嗗畾缇╃殑鍑芥暩(sh霉)鍙婂叾灏�(d菐o)鏁�(sh霉)锛屼笉瀹氱⿳鍒嗗拰瀹氱⿳鍒嗙殑鎻涘厓绌嶅垎娉曡垏鍒嗛儴绌嶅垎娉曪紝鏈夌悊鍑�
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�锛屽唬缇╃⿳鍒嗭紙鐒＄闄愮⿳鍒�銆佺憰绌嶅垎锛�锛屽畾
绌嶅垎鐨勬噳(y墨ng)鐢�锛涘叐椤炴洸绶氱⿳鍒嗭紝鏍兼灄锛� Green 锛夊叕寮�锛岄珮鏂紙 Gauss 锛夊叕寮忥紝鏂墭鍏嬫柉
锛� Stokes 锛夊叕寮�锛屾暎搴�銆佹棆搴︾殑姒傚康鍙婅▓绠�锛屾洸绶氱⿳鍒嗗拰鏇查潰绌嶅垎鐨勬噳(y墨ng)鐢ㄣ€�
閲嶉粸锛氭帉鎻＄敤绌嶅垎琛ㄩ仈(d谩)鍜岃▓绠楀咕浣曢噺鑸囩墿鐞嗛噺锛屾帉鎻′簩閲嶇⿳鍒嗐€佹洸闈㈢⿳鍒嗚▓绠楁柟
娉�锛屾眰瑙ｇ煝閲忕殑鏁ｅ害鍜屾棆搴︾瓑銆�
4. 鍚戦噺浠ｆ暩(sh霉)鍜岀┖闁撹В鏋愬咕浣曪紙~10%锛�
鐭ヨ瓨榛烇細鍚戦噺鐨勯亱绠�锛屽叐鍚戦噺鍨傜洿銆佸钩琛岀殑姊濅欢锛屽叐鍚戦噺鐨勫ぞ瑙�锛屽悜閲忕殑鍧愭(bi膩o)琛�
閬�(d谩)寮忓強鍏堕亱绠楋紝鏂瑰悜鏁�(sh霉)鑸囨柟鍚戜綑寮�锛屾洸闈㈡柟绋嬪拰绌洪枔鏇茬窔鏂圭▼锛屽钩闈㈡柟绋�銆佺洿绶氭柟
绋�锛屽钩闈㈣垏骞抽潰銆佸钩闈㈣垏鐩寸窔銆佺洿绶氳垏鐩寸窔鐨勫ぞ瑙掍互鍙婂钩琛屻€佸瀭鐩寸殑姊濅欢锛岄粸鍒板钩闈�
鍜岄粸鍒扮洿绶氱殑璺濋洟锛岀悆闈�锛屾瘝绶氬钩琛屼簬鍧愭(bi膩o)杌哥殑鏌遍潰锛屾棆杞�(zhu菐n)杌哥偤鍧愭(bi膩o)杌哥殑鏃嬭綁(zhu菐n)鏇查潰鐨�
鏂圭▼锛屽父鐢ㄧ殑浜屾鏇查潰鏂圭▼鍙婂叾鍦栧舰锛岀┖闁撴洸绶氱殑鍙冩暩(sh霉)鏂圭▼鍜屼竴鑸柟绋嬶紝绌洪枔鏇茬窔鍦�
鍧愭(bi膩o)闈笂鐨勬姇褰辨洸绶氭柟绋�銆�
閲嶉粸锛氱┖闁撲笁绋潗妯�(bi膩o)绯�锛屽悜閲忛棞(gu膩n)绯伙紝骞抽潰鏂圭▼鍜岀┖闁撶洿绶氭柟绋嬬殑姹傛硶銆�
5. 鐒＄绱氭暩(sh霉)锛垀15%锛�
鐭ヨ瓨榛烇細绱氭暩(sh霉)鍙婂叾鏀舵杺鑸囩櫦(f膩)鏁ｏ紝绱氭暩(sh霉)鐨勫熀鏈€ц唱(zh矛)鑸囨敹鏂傜殑蹇呰姊濅欢锛屽咕浣曠礆鏁�(sh霉)鑸�
鈥減鈥濈礆鏁�(sh霉)鍙婂叾鏀舵杺鎬�锛屾闋呯礆鏁�(sh霉)鏀舵杺鎬х殑鍒ゅ垾娉曪紝浜ら尟绱氭暩(sh霉)鑸囪悐甯冨凹鑼ㄥ畾鐞�锛屼换鎰忛爡
绱氭暩(sh霉)鐨勭禃灏嶆敹鏂傝垏姊濅欢鏀舵杺锛屽嚱鏁�(sh霉)闋呯礆鏁�(sh霉)鐨勬敹鏂傚煙銆佸拰鍑芥暩(sh霉)鐨勬蹇�锛屽啰绱氭暩(sh霉)鍙婂叾鏀舵杺
55
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锛屽啰绱氭暩(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)锛岀啊鍠啰
绱氭暩(sh霉)鐨勫拰鍑芥暩(sh霉)鐨勬眰娉曪紝娉板嫆绱氭暩(sh霉)锛屽垵绛夊嚱鏁�(sh霉)鐨勫啰绱氭暩(sh霉)灞曢枊寮�锛屽嚱鏁�(sh霉)鐨勫啰绱氭暩(sh霉)灞曢枊寮忓湪
杩戜技瑷堢畻涓殑鎳�(y墨ng)鐢�锛屽嚱鏁�(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)锛岀媱鍒╁厠闆�
锛� Dirichlet 锛夊畾鐞�銆�
閲嶉粸锛氱礆鏁�(sh霉)鏂傛暎鎬у垽鏂锋柟娉�锛屽嚱鏁�(sh霉)鍐礆鏁�(sh霉)灞曢枊寮忥紝鍑芥暩(sh霉)鍌呴噷钁夌礆鏁�(sh霉)灞曢枊鏂规硶銆�
6. 甯稿井鍒嗘柟绋嬶紙~15%锛�
鐭ヨ瓨榛烇細鍙垎闆㈣畩閲忕殑寰垎鏂圭▼锛岄綂娆″井鍒嗘柟绋嬶紝涓€闅庣窔鎬у井鍒嗘柟绋�锛屼集鍔埄
锛� Bermoulli 锛夋柟绋嬶紝鍏ㄥ井鍒嗘柟绋�锛岀窔鎬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)瀹氱悊锛屼簩闅庡父绯�
鏁�(sh霉)榻婃绶氭€у井鍒嗘柟绋�锛屼簩闅庡父绯绘暩(sh霉)闈為綂娆＄窔鎬у井鍒嗘柟绋�锛岄珮浜庝簩闅庣殑鏌愪簺甯哥郴鏁�(sh霉)榻婃绶�
鎬у井鍒嗘柟绋嬶紝姝愭媺锛� Euler 锛夋柟绋�锛屽井鍒嗘柟绋嬬殑绨″柈鎳�(y墨ng)鐢ㄣ€�
閲嶉粸锛氭帉鎻″彲鍒嗛洟璁婇噺銆佷簩闅庡父绯绘暩(sh霉)绛夊井鍒嗘柟绋嬫眰瑙ｆ柟娉曪紝鐢ㄥ井鍒嗘柟绋嬭В姹虹啊鍠殑
鎳�(y墨ng)鐢ㄥ晱椤岀瓑銆�
涓�銆侀鍨嬪強鍒嗗€兼瘮渚�
1.濉┖椤� 28 鍒�
2.鍠爡閬告搰椤� 32 鍒�
3.瑙ｇ瓟椤� 90 鍒�
鍥�銆佸弮闁辨浉鐩�
1.銆婇珮绛夋暩(sh霉)瀛�(xu茅)锛堜笂銆佷笅鍐婏級銆嬶紙绗洓鐗堬級锛屽悓婵�(j矛)澶у(xu茅)鏁�(sh霉)瀛�(xu茅)鏁欑爺瀹や富绶�锛岄珮绛夋暀鑲插嚭
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鏂囩珷鎼滅储
鎮ㄧ従(xi脿n)鍦ㄧ殑浣嶇疆锛� 
