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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�鈥� 涓嬭級
鎴愰兘闆诲瓙绉戞妧澶у(xu茅) 鍗氬＋鐮旂┒鐢熷叆瀛�(xu茅)鑰冭│鍒濊│鑷懡椤岀鐩€冭│澶х侗
鑰冭│绉戠洰 2002 鏁�(sh霉)鐞嗘柟绋嬪拰寰�(f霉)璁婂嚱鏁�(sh霉) 鑰冭│褰㈠紡 绛嗚│锛堥枆鍗凤級
鑰冭│鏅�(sh铆)闁� 180 鍒嗛悩 鑰冭│绺藉垎 100 鍒�
涓€銆佺附楂旇姹�
涓昏鑰冨療瀛�(xu茅)鐢熸帉鎻°€婃暩(sh霉)鐞嗘柟绋嬪拰寰�(f霉)璁婂嚱鏁�(sh霉)銆嬬殑鍩烘湰姒傚康鍜屽熀鏈悊璜栫殑绋嬪害锛岄噸榛�(di菐n)鑰冨療鏁�(sh霉)鐞嗘柟绋嬪拰
寰�(f霉)璁婂嚱鏁�(sh霉)鐨勫熀鏈師鐞嗗拰鏂规硶銆傝姹傚(xu茅)鐢熻兘澶犻潏娲婚亱(y霉n)鐢ㄦ墍瀛�(xu茅)鐭ヨ瓨锛屽苟鍏峰倷杓冨挤(qi谩ng)鐨勫垎鏋愬晱椤岃垏瑙ｆ焙鍟忛
鐨勮兘鍔涖€�
浜�銆佸収(n猫i)瀹�
鏁�(sh霉)鐞嗘柟绋嬮儴鍒�
1. 瀹氳В鍟忛
1)鍏稿瀷鏁�(sh霉)瀛�(xu茅)鐗╃悊鏂圭▼鐨勫皫(d菐o)鍑猴紙娉㈠嫊(d貌ng)鏂圭▼锛岀啽鍌冲皫(d菐o)鏂圭▼锛屾媺鏅媺鏂柟绋嬶級
2)鑳藉鍑猴紙灏�(d菐o)鍑猴級瀹氳В姊濅欢锛岄綂娆″寲鍘熺悊锛屼簩闅庣窔鎬у亸寰垎鏂圭▼鐨勫垎椤炲拰鍖栫啊銆�
2. 鍒嗛洟璁婇噺娉�
1)鎺屾彙鍒嗛洟璁婇噺娉�
2)鑳芥噳(y墨ng)鐢ㄤ簬娉㈠嫊(d貌ng)鏂圭▼銆佺啽鍌冲皫(d菐o)鏂圭▼鐨勬贩鍚堝晱椤屽拰鐗规畩鍗€(q奴)鍩熶笂鎷夋櫘鎷夋柉鏂圭▼鐨勭媱鍒╁厠闆峰晱椤�
3)闈為綂娆″晱椤岀殑甯哥敤铏曠悊鏂规硶銆�
3. 琛屾尝娉�
1)涓€缍尝鍕�(d貌ng)鏂圭▼鐨勯仈(d谩)鏈楄矟鐖惧叕寮�
2)鍗婄劇鐣屽晱椤�锛屼笁缍尝鍕�(d貌ng)鏂圭▼鏌タ鍟忛鐨勬硦鏉惧叕寮忓強鎺ㄥ皫(d菐o)銆�
4. 绌嶅垎璁婃彌
1)Fourier 璁婃彌鑸� Laplace 璁婃彌鐨勬€ц唱(zh矛)锛屼互鍙婂湪瀹氳В鍟忛姹傝В涓殑鎳�(y墨ng)鐢�銆�
5. 鏍兼灄鍑芥暩(sh霉)娉�
1锛夋牸鏋楀叕寮忓拰鎳�(y墨ng)鐢�锛屾牸鏋楀嚱鏁�(sh霉)鐨勬€ц唱(zh矛)锛�
2锛変竴浜涚壒娈婂崁(q奴)鍩熶笂鐨勬牸鏋楀嚱鏁�(sh霉)鍜岀媱鍒╁厠闆峰晱椤�銆�
6. Bessel 鍑芥暩(sh霉)
1锛塀essel 鍑芥暩(sh霉)鍙婂叾鎬ц唱(zh矛)
7. Legendre 澶氶爡(xi脿ng)寮�
1锛塋egendre 澶氶爡(xi脿ng)寮忓強鍏舵€ц唱(zh矛)銆�
寰�(f霉)璁婂嚱鏁�(sh霉)閮ㄥ垎
1. 寰�(f霉)鏁�(sh霉)鑸囧京(f霉)璁婂嚱鏁�(sh霉)
1锛夊京(f霉)鏁�(sh霉)銆佸京(f霉)骞抽潰涓婄殑榛�(di菐n)闆�锛屽京(f霉)鏁�(sh霉)鐨勪唬鏁�(sh霉)閬�(y霉n)绠楋紝涔樺啰鑸囨柟鏍�锛�
2锛夊京(f霉)鏁�(sh霉)鐨勪笁瑙掕〃绀�锛屽京(f霉)璁婂嚱鏁�(sh霉)锛屾サ闄�锛岄€ｇ簩(x霉)鎬�锛屽崁(q奴)鍩熻垏鑻ョ埦鐣�(d膩ng)鏇茬窔锛屽京(f霉)鐞冮潰鑸囩劇绐仩(yu菐n)榛�(di菐n)銆�
2. 瑙ｆ瀽鍑芥暩(sh霉)
1锛夎В鏋愬嚱鏁�(sh霉)姒傚康鑸囨煰瑗匡紞榛庢浖姊濅欢锛屾眰灏�(d菐o)娉曞墖锛屽彲寰殑蹇呰姊濅欢鍜屽厖鍒嗘浠�锛屽榛�(di菐n)锛�
2锛夊垵绛夎В鏋愬嚱鏁�(sh霉)锛堟鏁存暩(sh霉)娆″啰鍑芥暩(sh霉)銆佹寚鏁�(sh霉)鍑芥暩(sh霉)銆佷笁瑙掑嚱鏁�(sh霉)銆侀洐鏇插嚱鏁�(sh霉)锛�锛屽垵绛夊鍊煎嚱鏁�(sh霉)锛堟牴寮�
鍑芥暩(sh霉)銆佸皪鏁�(sh霉)鍑芥暩(sh霉)銆佸弽涓夎鍑芥暩(sh霉)銆佷竴鑸寚鏁�(sh霉)鍑芥暩(sh霉)銆佷竴鑸啰鍑芥暩(sh霉)锛夛紝澶氬€艰В鏋愬嚱鏁�(sh霉)鐨勬敮榛�(di菐n)銆佸壊绶�銆�
瑙ｆ瀽鍒嗘敮銆�
3. 寰�(f霉)璁婂嚱鏁�(sh霉)鐨勭⿳鍒�
1锛夊京(f霉)绌嶅垎鐨勬蹇靛強鍩烘湰鎬ц唱(zh矛)锛�
2锛夋煰瑗匡紞鍙よ柀鍩烘湰瀹氱悊锛堝柈閫ｉ€氳垏寰�(f霉)閫ｉ€氬煙锛�锛屽畾绌嶅垎鑸囧師鍑芥暩(sh霉)锛屾煰瑗跨⿳鍒嗗叕寮忥紝楂橀殠灏�(d菐o)鏁�(sh霉)鍏�
寮�锛岃В鏋愬嚱鏁�(sh霉)鐨勭劇绐彲寰€�锛屽妷缍埦瀹氱悊锛屾懇鍕掓媺瀹氱悊锛岃(di脿o)鍜屽嚱鏁�(sh霉)鑸囧叡杌涜(di脿o)鍜屽嚱鏁�(sh霉)锛屽钩鍧囧€�
瀹氱悊鑸囨サ鍊煎師鐞�銆�
4. 瑙ｆ瀽鍑芥暩(sh霉)鐨勫啰绱氭暩(sh霉)琛ㄧず娉�
1锛夊京(f霉)绱氭暩(sh霉)鐨勫熀鏈€ц唱(zh矛)锛屾敹鏂傝垏涓€鑷存敹鏂�锛屽啰绱氭暩(sh霉)锛屾敹鏂傚崐寰�锛屽拰鍑芥暩(sh霉)鐨勬€ц唱(zh矛)锛�
2锛夎В鏋愬嚱鏁�(sh霉)鐨勬嘲鍕掑睍闁嬪紡锛岃В鏋愬嚱鏁�(sh霉)闆堕粸(di菐n)鐨勫绔嬫€у強鍞竴鎬у畾鐞�锛屾渶澶фā鍘熺悊銆�
5. 瑙ｆ瀽鍑芥暩(sh霉)鐨勬礇鏈楀睍闁嬪紡鑸囧绔嬪榛�(di菐n)
1锛夎В鏋愬嚱鏁�(sh霉)鐨勬礇鏈楀睍闁嬪紡锛�
2锛夎В鏋愬嚱鏁�(sh霉)鐨勫绔嬪榛�(di菐n)锛岀毊鍗″畾鐞�锛岃В鏋愬嚱鏁�(sh霉)鍦ㄧ劇绐仩(yu菐n)榛�(di菐n)鐨勬€ф厠(t脿i)锛屾暣鍑芥暩(sh霉)鑸囦簽绱斿嚱鏁�(sh霉)鐨勬蹇�銆�
6. 鐣欐暩(sh霉)鐞嗚珫鍙婂叾鎳�(y墨ng)鐢�
1锛夌暀鏁�(sh霉)鐨勬蹇靛拰姹傛硶锛岀暀鏁�(sh霉)瀹氱悊锛岀敤鐣欐暩(sh霉)瑷�(j矛)绠楀(sh铆)绌嶅垎锛�
2锛夎蓟瑙掑師鐞�锛屽剴姝囧畾鐞嗗強鎳�(y墨ng)鐢�銆�
7. 淇濆舰璁婃彌
1锛夎В鏋愯畩鎻涚殑鐗瑰緛锛屽皫(d菐o)鏁�(sh霉)鐨勫咕浣曟剰缇�锛�
2锛夊柈钁夎В鏋愯畩鎻涚殑鍏卞舰鎬э紝鍒嗗紡绶氭€ц畩鎻�锛屽敮涓€姹哄畾鍒嗗紡绶氭€ц畩鎻涚殑姊濅欢銆�
涓�銆侀鍨�
鍒嗘瀽瑷�(j矛)绠楅
璀夋槑椤�
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€�(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с€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璁€鑰呭儏浣滃弮鑰�锛屽苟璜嬭嚜琛屾牳瀵�(sh铆)鐩搁棞(gu膩n)鍏�(n猫i)瀹�銆�
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鏂囩珷鎼滅储
鎮ㄧ従(xi脿n)鍦ㄧ殑浣嶇疆锛� 
