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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�锛�2013骞达紱鍧囨彁渚涙敹璨�(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�鈥� 涓嬭級
涓湅(gu贸)绉戝(xu茅)闄㈠ぇ瀛�(xu茅)纰╁＋鐮旂┒鐢熷叆瀛�(xu茅)鑰冭│
銆婃暩(sh霉)瀛�(xu茅)鍒嗘瀽銆嬭€冭│澶х侗
鏈€婃暩(sh霉)瀛�(xu茅)鍒嗘瀽銆嬭€冭│澶х侗閬╃敤浜庝腑鍦�(gu贸)绉戝(xu茅)闄㈠ぇ瀛�(xu茅)鏁�(sh霉)瀛�(xu茅)鍜岀郴绲�(t菕ng)绉戝(xu茅)绛夊(xu茅)绉戝悇灏堟キ(y猫)纰╁＋鐮�
绌剁敓鍏ュ(xu茅)鑰冭│銆傛暩(sh霉)瀛�(xu茅)鍒嗘瀽鏄竴闁€鍏锋湁鍏叡鎬ц唱(zh矛)鐨勯噸瑕佺殑鏁�(sh霉)瀛�(xu茅)鍩虹(ch菙)瑾茬▼锛岀敱鍒嗘瀽鍩虹(ch菙)銆佷竴鍏冨井
鍒嗗(xu茅)鍜岀⿳鍒嗗(xu茅)銆佺礆(j铆)鏁�(sh霉)銆佸鍏冨井鍒嗗(xu茅)鍜岀⿳鍒嗗(xu茅)绛夐儴鍒嗙祫鎴�銆傝姹傝€冪敓鑳芥簴(zh菙n)纰虹悊瑙ｅ熀鏈蹇碉紝鐔�
绶存帉鎻″悇绋亱(y霉n)绠楀拰鍩烘湰鐨勮▓(j矛)绠椼€佽珫璀夋妧宸�锛屽叿鏈夌稖鍚堥亱(y霉n)鐢ㄦ墍瀛�(xu茅)鐭ヨ瓨(sh铆)鍒嗘瀽鍜岃В姹哄晱椤岀殑鑳藉姏銆�
涓€銆佽€冭│鍩烘湰瑕佹眰
瑕佹眰鑰冪敓姣旇純绯荤当(t菕ng)鍦扮悊瑙ｆ暩(sh霉)瀛�(xu茅)鍒嗘瀽鐨勫熀鏈蹇靛拰鍩烘湰鐞嗚珫锛屾帉鎻℃暩(sh霉)瀛�(xu茅)鍒嗘瀽鐨勫熀鏈€濇兂鍜�
鏂规硶銆傝姹傝€冪敓鍏锋湁鎶借薄鎬濈董鑳藉姏銆侀倧杓帹鐞嗚兘鍔涖€侀亱(y霉n)绠楄兘鍔涘拰缍滃悎閬�(y霉n)鐢ㄦ墍瀛�(xu茅)鐨勭煡璀�(sh铆)鍒嗘瀽鍟�
椤屽拰瑙ｆ焙鍟忛鐨勮兘鍔�銆�
浜屻€佽€冭│鏂规硶鍜岃€冭│鏅�(sh铆)闁�
鏁�(sh霉)瀛�(xu茅)鍒嗘瀽鑰冭│閲囩敤闁夊嵎绛嗚│褰㈠紡锛岃│鍗锋豢鍒嗙偤 150 鍒�锛岃€冭│鏅�(sh铆)闁撶偤 180 鍒嗛悩銆�
涓�銆佽€冭│鍏�(n猫i)瀹瑰拰鑰冭│瑕佹眰
锛堜竴锛夎€冭│鍏�(n猫i)瀹�
1. 鍒嗘瀽鍩虹(ch菙)
(1) 瀵�(sh铆)鏁�(sh霉)姒傚康銆佺⒑鐣�
(2) 鍑芥暩(sh霉)姒傚康
(3) 搴忓垪妤甸檺鑸囧嚱鏁�(sh霉)妤甸檺
(4) 鐒＄澶ц垏鐒＄灏�
(5) 涓婃サ闄愯垏涓嬫サ闄�
(6) 閫ｇ簩(x霉)姒傚康鍙婂熀鏈€ц唱(zh矛)锛屼竴鑷撮€ｇ簩(x霉)鎬�
锛�7锛夋敹鏂傚師鐞�
2. 涓€鍏冨井鍒嗗(xu茅)
(1) 灏�(d菐o)鏁�(sh霉)姒傚康鍙婂咕浣曟剰缇�
(2) 姹傚皫(d菐o)鍏紡姹傚皫(d菐o)娉曞墖
(3) 楂橀殠灏�(d菐o)鏁�(sh霉)
(4) 寰垎
(5) 寰垎涓€煎畾鐞�
(6) L鈥橦ospital 娉曞墖
(7) Taylor 鍏紡
(8) 鎳�(y墨ng)鐢ㄥ皫(d菐o)鏁�(sh霉)鐮旂┒鍑芥暩(sh霉)
3. 涓€鍏冪⿳鍒嗗(xu茅)
(1) 涓嶅畾绌嶅垎娉曡垏鍙⿳鍑芥暩(sh霉)椤�
(2) 瀹氱⿳鍒嗙殑姒傚康銆佹€ц唱(zh矛)鑸囪▓(j矛)绠�
(3) 瀹氱⿳鍒嗙殑鎳�(y墨ng)鐢�
(4) 寤ｇ京绌嶅垎
4. 绱�(j铆)鏁�(sh霉)
(1) 鏁�(sh霉)闋�(xi脿ng)绱�(j铆)鏁�(sh霉)鐨勬杺鏁ｅ垽鍒ヨ垏鎬ц唱(zh矛)
(2) 鍑芥暩(sh霉)闋�(xi脿ng)绱�(j铆)鏁�(sh霉)鑸囦竴鑷存敹鏂傛€�
(3) 鍐礆(j铆)鏁�(sh霉)
(4) Fourier 绱�(j铆)鏁�(sh霉)
5. 澶氬厓寰垎瀛�(xu茅)
(1) 姝愭皬绌洪枔
(2) 澶氬厓鍑芥暩(sh霉)鐨勬サ闄�
(3) 澶氬厓閫ｇ簩(x霉)鍑芥暩(sh霉)
(4) 鍋忓皫(d菐o)鏁�(sh霉)鑸囧井鍒�
(5) 闅卞嚱鏁�(sh霉)瀹氱悊
(6) Taylor 鍏紡
(7) 澶氬厓寰垎瀛�(xu茅)鐨勫咕浣曟噳(y墨ng)鐢�
(8) 澶氬厓鍑芥暩(sh霉)鐨勬サ鍊�
6. 澶氬厓绌嶅垎瀛�(xu茅)
(1) 閲嶇⿳鍒嗙殑姒傚康鑸囨€ц唱(zh矛)
锛�2锛夐噸绌嶅垎鐨勮▓(j矛)绠�
锛�3锛変簩閲�銆佷笁閲嶅唬缇╃⿳鍒�
锛�4锛夊惈鍙冭畩閲忕殑姝ｅ父绌嶅垎鍜屽唬缇╃⿳鍒�
锛�5锛夋洸绶氱⿳鍒嗚垏 Green 鍏紡
锛�6锛夋洸闈㈢⿳鍒�
锛�7锛塆auss 鍏紡銆丼tokes 鍏紡鍙婄窔绌嶅垎鑸囪矾寰戠劇闂�(gu膩n)
锛�8锛夊牬(ch菐ng)璜栧垵姝�
锛堜簩锛夎€冭│瑕佹眰
1锛庡垎鏋愬熀绀�(ch菙)
(1) 浜嗚В瀵�(sh铆)鏁�(sh霉)鍏悊锛岀悊瑙ｄ笂纰虹晫鍜屼笅纰虹晫鐨勬剰缇�銆傛帉鎻＄禃灏�(du矛)鍊间笉绛夊紡鍙婂钩鍧囧€�
涓嶇瓑寮忋€�
(2) 鐔熺反鎺屾彙鍑芥暩(sh霉)姒傚康锛堝瀹氱京鍩�銆佸€煎煙銆佸弽鍑芥暩(sh霉)绛夛級銆�
(3) 鎺屾彙搴忓垪妤甸檺鐨勬剰缇�銆佹€ц唱(zh矛)锛堢壒鍒�锛屽柈瑾�(di脿o)搴忓垪鐨勬サ闄愬瓨鍦ㄦ€у畾鐞嗭級鍜岄亱(y霉n)绠�
娉曞墖锛岀啛绶存帉鎻℃眰搴忓垪妤甸檺鐨� N?? 鏂规硶銆�
(4) 鎺屾彙鍑芥暩(sh霉)妤甸檺鐨勬剰缇�銆佹€ц唱(zh矛)鍜岄亱(y霉n)绠楁硶鍓囷紙鑷畩閲忚定浜庢湁闄愭暩(sh霉)鍜岃定浜庣劇闄愬叐
绋儏褰級锛岀啛绶存帉鎻℃眰鍑芥暩(sh霉)妤甸檺鐨� ?? ? 鏂规硶锛屼簡瑙ｅ唬缇╂サ闄愬拰鍠伌(c猫)妤甸檺
鐨勬剰缇�銆�
(5) 鐔熺反鎺屾彙姹傚簭鍒楁サ闄愬拰鍑芥暩(sh霉)妤甸檺鐨勫父鐢ㄦ柟娉曪紙濡傚垵绛夎畩褰�銆佽畩閲忎唬鎻�銆佸叐
閭婂ぞ娉曞墖绛夛級锛屾帉鎻＄敱閬炴帹鍏紡绲﹀嚭鐨勫簭鍒楁眰妤甸檺鐨勫熀鏈妧宸�锛屼互鍙婃噳(y墨ng)鐢�
Stolz 鍏紡姹傚簭鍒楁サ闄愮殑鏂规硶銆�
(6) 鐞嗚В鐒＄澶ч噺鍜岀劇绐皬閲忕殑鎰忕京锛屼簡瑙ｅ悓闅庡拰楂橈紙浣庯級闅庣劇绐ぇ锛�?銆傗敐?br/>鐨勬剰缇�銆�
(7) 浜嗚В涓婃サ闄愬拰涓嬫サ闄愮殑鎰忕京鍜屾€ц唱(zh矛)銆�
(8) 鐔熺反鎺屾彙鍑芥暩(sh霉)鍦ㄤ竴榛�(di菐n)鍙婂湪涓€鍊�(g猫)鍗€(q奴)闁撲笂閫ｇ簩(x霉)鐨勬蹇�锛岀悊瑙ｅ嚱鏁�(sh霉)鍏╅闁撴柗榛�(di菐n)鐨�
鎰忕京锛屾帉鎻″垵绛夊嚱鏁�(sh霉)鐨勯€ｇ簩(x霉)鎬�锛岀悊瑙ｅ崁(q奴)闁撳瀹氱悊鍜屼粙鍊煎畾鐞嗐€傜悊瑙ｄ竴鑷撮€�
绾�(x霉)鍜屼笉涓€鑷撮€ｇ簩(x霉)鐨勬蹇�銆�
(9) 鎺屾彙搴忓垪鏀舵杺鐨勫厖鍒嗗繀瑕佹浠跺強鍑芥暩(sh霉)妤甸檺锛堢暥(d膩ng)鑷畩閲忚定浜庢湁闄愭暩(sh霉)鍙婅定浜庣劇
绐叐绋儏褰級瀛樺湪鐨勫厖鍒嗗繀瑕佹浠躲€�
2锛庝竴鍏冨井鍒嗗(xu茅)
(1) 鎺屾彙灏�(d菐o)鏁�(sh霉)鐨勬蹇靛拰骞句綍鎰忕京锛屼簡瑙ｅ柈鍋�(c猫)灏�(d菐o)鏁�(sh霉)鐨勬剰缇�锛岃В渚濇摎(j霉)瀹氱京姹傚嚱
鏁�(sh霉)鍦ㄧ郸瀹氶粸(di菐n)鐨勫皫(d菐o)鏁�(sh霉)銆�
(2) 瑙ｆ噳(y墨ng)鐢ㄦ眰灏�(d菐o)鍏紡鍜屾硶鍓囩啛绶磋▓(j矛)绠楀嚱鏁�(sh霉)灏�(d菐o)鏁�(sh霉)锛堝寘鎷敤鍙冩暩(sh霉)寮忕郸鍑虹殑鍑芥暩(sh霉)鐨勫皫(d菐o)
鏁�(sh霉)锛夈€侀毐鍑芥暩(sh霉)鐨勫皫(d菐o)鏁�(sh霉)浠ュ強鍑芥暩(sh霉)鐨勯珮闅庡皫(d菐o)鏁�(sh霉)銆�
(3) 鐞嗚В鍑芥暩(sh霉)寰垎鐨勬蹇靛拰鍑芥暩(sh霉)鍙井鐨勫厖鍒嗗繀瑕佹浠�锛屼簡瑙ｄ竴闅庡井鍒嗙殑涓嶈畩
鎬�锛岃兘鍒╃敤寰垎浣滆繎浼艰▓(j矛)绠�銆�
(4) 鐞嗚В骞舵帉鎻″井鍒嗕腑鍊煎畾鐞嗭紙Rolle瀹氱悊锛孡agrange瀹氱悊鍜� Cauchy涓€煎畾鐞嗭級锛�
骞惰兘鎳�(y墨ng)鐢ㄥ畠鍊戣В姹哄嚱鏁�(sh霉)闆堕粸(di菐n)瀛樺湪鎬у強涓嶇瓑寮忚瓑鏄庣瓑鍟忛銆�
(5) 鐔熺反鎺屾彙鎳�(y墨ng)鐢� L鈥橦ospital 娉曞墖姹傚嚱鏁�(sh霉)妤甸檺鐨勬柟娉曘€�
(6) 鐞嗚В Taylor 鍏紡锛圠agrange 浣欓爡(xi脿ng)鍜� Peano 浣欓爡(xi脿ng)锛夌殑鎰忕京锛屽苟鐔熻浜斿€�(g猫)鍩�
鏈叕寮忥紙 )1ln(,)1(,cos,sin xxxxe
x
??
?
锛� 鍦� x=0 榛�(di菐n)鐨勫付鏈� Peano 浣欓爡(xi脿ng)鐨�
Taylor 鍏紡锛�锛岃兘灏囩郸瀹氬嚱鏁�(sh霉)鍦ㄦ寚瀹氶粸(di菐n)灞曟垚 Taylor 绱�(j铆)鏁�(sh霉)锛屾帉鎻℃噳(y墨ng)鐢� Taylor
鍏紡瑙ｆ焙涓嶇瓑寮忚瓑鏄�銆佹眰鍑芥暩(sh霉)妤甸檺绛夊晱椤岀殑鍩烘湰鎶€宸�銆�
(7) 鐔熺反鎺屾彙鎳�(y墨ng)鐢ㄥ皫(d菐o)鏁�(sh霉)鍒ゆ柗鍑芥暩(sh霉)鍗囬檷銆佸嚬鍑告€т互鍙婄暙鍑哄嚱鏁�(sh霉)鍦栧儚鐨勬柟娉�锛屼互鍙�
姹備竴鍏冨嚱鏁�(sh霉)妤靛€煎拰鏈€鍊肩殑鏂规硶銆�
3锛庝竴鍏冪⿳鍒嗗(xu茅)
(1) 鐞嗚В涓嶅畾绌嶅垎姒傚康鍜屽熀鏈€ц唱(zh矛)锛岀啛瑷樺熀鏈⿳鍒嗚〃锛岀悊瑙ｅ苟鎺屾彙鎻涘厓娉曞拰鍒�
閮ㄧ⿳鍒嗘硶鐨勬剰缇╁拰鏂规硶锛岃В鎳�(y墨ng)鐢ㄤ粬鍊戠啛绶磋▓(j矛)绠椾笉寰�(f霉)闆滅殑涓嶅畾绌嶅垎銆�
(2) 浜嗚В鍙⿳鍒嗗嚱鏁�(sh霉)椤炵殑鎰忕京鍙婂叾绌嶅垎娉�锛岀啛绶存帉鎻℃湁鐞嗗嚱鏁�(sh霉)銆佷笁瑙掑嚱鏁�(sh霉)鏈夌悊
寮忓強绨�(ji菐n)鍠殑鏍瑰紡鐨勬湁鐞嗗紡鐨勭⿳鍒嗘柟娉�銆�
(3) 鐞嗚В瀹氱⿳鍒嗙殑姒傚康锛屾帉鎻″畾绌嶅垎鐨勫熀鏈€ц唱(zh矛)鍙婂嚱鏁�(sh霉)鍦ㄦ湁闄愬崁(q奴)闁撲笂鍙⿳鐨勫厖
鍒嗗繀瑕佹浠�锛岀啛绶存帉鎻″畾绌嶅垎鐨勮▓(j矛)绠楁柟娉�銆備簡瑙ｈ畩闄愬畾绌嶅垎鐨勬€ц唱(zh矛)锛屾帉鎻�
绌嶅垎涓€煎畾鐞嗐€�
(4) 鐔熺反鎳�(y墨ng)鐢ㄥ畾绌嶅垎瑷�(j矛)绠楀钩闈㈡洸绶氬姬闀�(zh菐ng)銆佸钩闈㈠湒褰㈤潰绌�銆佺珛楂旈珨绌�銆佹棆杞�(zhu菐n)鏇查潰
琛ㄩ潰绌�锛屽苟瑙ｆ噳(y墨ng)鐢ㄤ簬姹傚潎鍕诲钩闈㈠湒褰㈤噸蹇冨潗妯�(bi膩o)绛夌啊(ji菐n)鍠墿鐞嗐€佸姏瀛�(xu茅)鍟忛銆�
(5) 鐞嗚В寤ｇ京绌嶅垎鍙婂叾鏀舵杺銆佺禃灏�(du矛)鏀舵杺鍜岀櫦(f膩)鏁ｇ殑鎰忕京锛屾帉鎻″唬缇╃⿳鍒嗘敹鏂傜殑鍒�
瀹氭硶鍓囥€�
4锛庣礆(j铆)鏁�(sh霉)
(1) 鎺屾彙鏁�(sh霉)闋�(xi脿ng)绱�(j铆)鏁�(sh霉)鏀舵杺銆佺櫦(f膩)鏁ｅ拰绲曞皪(du矛)鏀舵杺鐨勬蹇点€佺礆(j铆)鏁�(sh霉)鏀舵杺鐨勫厖鍒嗗繀瑕佹浠�
锛圕auchy 婧�(zh菙n)鍓囷級锛屾敹鏂傚拰绲曞皪(du矛)鏀舵杺绱�(j铆)鏁�(sh霉)鐨勬€ц唱(zh矛)浠ュ強绱�(j铆)鏁�(sh霉)鍔犳硶鍜屼箻娉曠殑閬�(y霉n)绠�
娉曞墖銆�
(2) 鐔熺反鎺屾彙姝ｉ爡(xi脿ng)绱�(j铆)鏁�(sh霉)鏂傛暎鍒ゅ垾娉曪紙姣旇純鍒ゅ垾娉曘€丏鈥橝lembert 鍒ゅ垾娉曘€丆auchy
鏍瑰紡鍒ゅ垾娉曚互鍙� Cauchy 绌嶅垎鍒ゅ垾娉曪級锛屾帉鎻′竴鑸爡(xi脿ng)绱�(j铆)鏁�(sh霉)鏂傛暎鍒ゅ垾鏂规硶銆�
鑳借▓(j矛)绠椾竴浜涚壒娈婃暩(sh霉)闋�(xi脿ng)绱�(j铆)鏁�(sh霉)鐨勫拰銆�
(3) 鐞嗚В鍑芥暩(sh霉)闋�(xi脿ng)绱�(j铆)鏁�(sh霉)鏀舵杺鐨勬剰缇╁苟鑳界⒑瀹氬叾鏀舵杺鍩�銆傜悊瑙ｅ嚱鏁�(sh霉)搴忓垪涓€鑷存敹鏂備互
鍙婂嚱鏁�(sh霉)闋�(xi脿ng)绱�(j铆)鏁�(sh霉)涓€鑷存敹鏂傜殑鎰忕京锛屾帉鎻″嚱鏁�(sh霉)闋�(xi脿ng)绱�(j铆)鏁�(sh霉)涓€鑷存敹鏂傜殑鍒ゅ垾娉曞墖
锛圕auchy 涓€鑷存敹鏂傛簴(zh菙n)鍓�锛學eierstrass 鍒ゅ垾娉�锛孉bel 鍒ゅ垾娉�锛孌irichlet 鍒�
鍒ユ硶锛夊強涓€鑷存敹鏂傜礆(j铆)鏁�(sh霉)鐨勬€ц唱(zh矛)銆�
(4) 鐞嗚В鍐礆(j铆)鏁�(sh霉)鐨勬蹇靛苟鑳界⒑瀹氬叾鏀舵杺鍗婂緫銆傛帉鎻″啰绱�(j铆)鏁�(sh霉)鐨勫熀鏈€ц唱(zh矛)鍜岄亱(y霉n)绠楁硶
鍓�锛岀啛瑷樹簲鍊�(g猫)鍩烘湰鍐礆(j铆)鏁�(sh霉)灞曢枊寮忥紙 )1ln(,)1(,cos,sin xxxxe
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鑳芥眰鍑虹郸瀹氬嚱鏁�(sh霉)鍦ㄦ寚瀹氶粸(di菐n)鐨勫啰绱�(j铆)鏁�(sh霉)灞曢枊寮忓強鎳�(y墨ng)鐢ㄥ啰绱�(j铆)鏁�(sh霉)閬�(y霉n)绠楁眰涓€浜涚礆(j铆)鏁�(sh霉)
鐨勫拰銆�
(5) 鐞嗚В鍑芥暩(sh霉) Fourier 灞曢枊寮忕殑鎰忕京锛屾帉鎻℃眰 Fourier 灞曢枊寮忕殑鍩烘湰鏂规硶銆備簡瑙�
Fourier 绱�(j铆)鏁�(sh霉)鐨勬敹鏂傛€у畾鐞�銆侀€愰爡(xi脿ng)绌嶅垎鍜岄€愰爡(xi脿ng)姹傚皫(d菐o)瀹氱悊浠ュ強 Parseval 绛夊紡锛�
骞惰兘鎳�(y墨ng)鐢� Fourier 绱�(j铆)鏁�(sh霉)姹傛煇浜涚礆(j铆)鏁�(sh霉)鐨勫拰锛堜緥濡�?
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5锛庡鍏冨井鍒嗗(xu茅)
(1) 鐞嗚В姝愭皬绌洪枔鐨勬蹇靛強姝愭皬绌洪枔涓悜閲忕殑鍏�(n猫i)绌嶈垏妯°€侀枊闆嗚垏闁夐泦銆侀枊鍗€(q奴)鍩�
鑸囬枆鍗€(q奴)鍩熺殑鎰忕京锛屼簡瑙ｅ畬鍌欐€у畾鐞嗗強绶婃€у畾鐞�銆�
(2) 鐞嗚В澶氬厓鍑芥暩(sh霉)鐨勬蹇点€傛帉鎻″鍏冨嚱鏁�(sh霉)鐨勫叏闈㈡サ闄�銆佺疮娆℃サ闄愬拰鐗规畩璺緫妤�
闄愮殑鎰忕京锛屽苟鑳芥牴鎿�(j霉)瀹氱京瑷�(j矛)绠楀鍏冨嚱鏁�(sh霉)妤甸檺锛屾垨璀夋槑浜屽厓妤甸檺涓嶅瓨鍦�锛岃兘
瑷�(j矛)绠楀鍏冨嚱鏁�(sh霉)鐨勫叏闈㈡サ闄愬拰绱妤甸檺銆�
(3) 鐞嗚В澶氬厓閫ｇ簩(x霉)鍑芥暩(sh霉)鐨勬蹇�锛屾帉鎻″叾鎬ц唱(zh矛)锛屽苟鑳藉垽鏂峰鍏冨嚱鏁�(sh霉)鐨勯€ｇ簩(x霉)鎬с€備簡
瑙ｅ鍏冨嚱鏁�(sh霉)鐨勪竴鑷撮€ｇ簩(x霉)鎬�銆�
(4) 鐞嗚В鍋忓皫(d菐o)鏁�(sh霉)鐨勬蹇碉紝鎺屾彙鍏惰▓(j矛)绠楁硶鍓�锛岃兘鐔熺反瑷�(j矛)绠楀嚱鏁�(sh霉)鐨勫亸灏�(d菐o)鏁�(sh霉)鍜屽京(f霉)鍚堝嚱
鏁�(sh霉)鐨勫皫(d菐o)鍑芥暩(sh霉)锛岃兘瑷�(j矛)绠楀嚱鏁�(sh霉)鍦ㄧ郸瀹氭柟鍚戜笂鐨勫皫(d菐o)鍑芥暩(sh霉)銆�
(5) 鐞嗚В澶氬厓鍑芥暩(sh霉)鐨勫井鍒嗙殑姒傚康锛屽苟鑳藉垽鏂峰嚱鏁�(sh霉)鐨勫彲寰€�銆�
(6) 鐞嗚В闅卞嚱鏁�(sh霉)瀛樺湪瀹氱悊鍜屽弽鍑芥暩(sh霉)瀛樺湪瀹氱悊锛岀啛绶存帉鎻￠毐鍑芥暩(sh霉)鐨勫井鍒嗘硶銆�
(7) 鐞嗚ВTaylor 鍏紡鐨勬剰缇�锛屽苟鑳芥眰鍑轰簩鍏冨嚱鏁�(sh霉)鐨勫叿鏈夋寚瀹氶殠鏁�(sh霉)鐨凾aylor 鍏紡銆�
(8) 鑳芥噳(y墨ng)鐢ㄥ亸灏�(d菐o)鏁�(sh霉)姹傜┖闁撴洸绶氱殑鍒囩窔銆佹硶骞抽潰鍙婄┖闁撴洸闈㈢殑娉曠窔鍜屽垏骞抽潰鐨勬柟
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(9) 鐞嗚В澶氬厓鍑芥暩(sh霉)鐨勬サ闄愬拰鏈€鍊肩殑鎰忕京銆佹サ鍊肩殑蹇呰姊濅欢鍜屽厖鍒嗘浠�锛屾帉鎻℃眰
澶氬厓鍑芥暩(sh霉)妤靛€�銆佹浠舵サ鍊煎強鍦ㄩ枆鍗€(q奴)鍩熶笂鐨勬渶鍊肩殑鏂规硶锛屽苟鐢ㄤ簬瑙ｆ焙瀵�(sh铆)闅涘晱
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6锛庡鍏冪⿳鍒嗗(xu茅)
(1) 鐞嗚В閲嶇⿳鍒嗙殑姒傚康銆佸彲绌嶇殑鍏呭垎蹇呰姊濅欢鍙婇噸绌嶅垎鐨勬€ц唱(zh矛)銆�
(2) 鎺屾彙浜岄噸绌嶅垎鍜屼笁閲嶇⿳鍒嗗寲绱绌嶅垎鐨勬柟娉曚互鍙婁簩閲嶃€佷笁閲嶇⿳鍒嗙殑璁婇噺浠�
鎻涙柟娉曪紙鐗瑰垾锛屽钩闈㈡サ鍧愭(bi膩o)璁婃彌锛岀┖闁撴煴鍧愭(bi膩o)鍜岀悆鍧愭(bi膩o)璁婃彌锛夛紝鑳界啛绶磋▓(j矛)
绠椾簩閲嶅拰涓夐噸绌嶅垎锛屽苟鐢ㄤ簬瑷�(j矛)绠楀钩闈㈠湒褰㈤潰绌�銆佹煴楂旈珨绌嶃€佹洸闈㈤潰绌嶅強鏇�
闈㈡墍鍦嶇殑绔嬮珨楂旂⿳銆備簡瑙� n 閲嶏紙n>3锛夌⿳鍒嗙殑瑷�(j矛)绠楁柟娉曪紙鍖栫偤绱绌嶅垎鍙�
璁婇噺浠ｆ彌锛�銆�
(3) 浜嗚В浜岄噸銆佷笁閲嶅唬缇╃⿳鍒嗙殑鎰忕京锛堢劇鐣屽煙鎯呭舰鍜屼笉閫ｇ簩(x霉)鍑芥暩(sh霉)鎯呭舰锛�锛屾帉鎻�
瀹冨€戠殑鍩烘湰鍒ゆ杺娉曞拰鍩烘湰瑷�(j矛)绠楁柟娉�銆�
(4) 浜嗚В鍚弮璁婇噺鐨勬甯哥⿳鍒嗙殑鍩烘湰鎬ц唱(zh矛)锛堥€ｇ簩(x霉)鎬э紝绌嶅垎铏�(h脿o)涓嬪彇妤甸檺銆佹眰灏�(d菐o)鍜�
姹傜⿳鍒嗭級锛屼簡瑙ｅ惈鍙冭畩閲忕殑寤ｇ京绌嶅垎涓€鑷存敹鏂傛€х殑鎰忕京鍙婂叾鍩烘湰鎬ц唱(zh矛)锛堥€�
绾�(x霉)鎬�锛岀⿳鍒嗚櫉(h脿o)涓嬪彇妤甸檺銆佹眰灏�(d菐o)鍙婃眰绌嶅垎锛�锛屾帉鎻″叾涓€鑷存敹鏂傚垽鍒ユ硶锛屼簡瑙� ?
鍜� ? 鍑芥暩(sh霉)銆�
(5) 鐞嗚В绗竴鍨嬪拰绗簩鍨嬫洸绶氱⿳鍒嗙殑鎰忕京銆佹€ц唱(zh矛)銆佸(sh铆)闅涜儗鏅強浜岃€呯殑鑱�(li谩n)绯伙紝鑳�
鐔熺反瑷�(j矛)绠楁洸绶氱⿳鍒�銆�
(6) 鐞嗚В骞舵帉鎻� Green 鍏紡鐨勬剰缇╋紝骞惰兘鎳�(y墨ng)鐢ㄥ畠瑷�(j矛)绠楁洸绶氱⿳鍒�銆�
(7) 鐞嗚В绗竴鍨嬪拰绗簩鍨嬫洸闈㈢⿳鍒嗙殑鎰忕京銆佹€ц唱(zh矛)銆佸(sh铆)闅涜儗鏅強浜岃€呯殑鑱�(li谩n)绯伙紝鑳�
鐔熺反瑷�(j矛)绠楁洸闈㈢⿳鍒�銆�
(8) 鐞嗚В骞舵帉鎻� Gauss 鍏紡鍜� Stokes 鍏紡鐨勬剰缇�锛屽苟鑳界敤浜庢洸闈㈢⿳鍒嗘垨鏇茬窔
绌嶅垎鐨勮▓(j矛)绠�銆備簡瑙ｇ┖闁撴洸绶氱⿳鍒嗚垏璺緫鐒￠棞(gu膩n)鐨勫厖鍒嗗繀瑕佹浠跺強鍏跺皪(du矛)鏇茬窔绌�
鍒嗚▓(j矛)绠楃殑鎳�(y墨ng)鐢�銆�
(9) 浜嗚В鍫�(ch菐ng)鐨勬蹇靛拰淇濆畧鍫�(ch菐ng)鐨勬剰缇�锛岃兘瑷�(j矛)绠楀牬(ch菐ng)鐨勬搴�銆佹暎搴﹀拰鏃嬪害銆�
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鐝�(xi脿n)琛岋紙鍏枊鐧�(f膩)琛岋級缍滃悎鎬уぇ瀛�(xu茅)锛堝斧鑼冨ぇ瀛�(xu茅)锛夋暩(sh霉)瀛�(xu茅)绯荤敤鏁�(sh霉)瀛�(xu茅)鍒嗘瀽鏁欑▼銆�
绶ㄥ埗鍠綅锛氫腑鍦�(gu贸)绉戝(xu茅)闄㈠ぇ瀛�(xu茅)
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