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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
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涓€銆佽│鍗风祼(ji茅)妲�(g貌u)
1) 瑭﹀嵎鎴愮妇鍙婅€冭│鏅傞枔
鑰冭│鏅傞枔鐐� 180 鍒嗛悩銆�
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4)椤屽瀷绲�(ji茅)妲�(g貌u)
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浜�銆佽€冭│鍏�(n猫i)瀹硅垏鑰冭│瑕佹眰
锛堜竴锛夊父寰垎鏂圭▼閮ㄥ垎
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鑰冭│鍏�(n猫i)瀹�
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鑰冭│瑕佹眰
(1) 鐞嗚В濡備綍鐢ㄥ井鍒嗘柟绋嬭В姹哄闅涘晱椤�锛涗簡瑙ｇ⿳鍒嗘洸绶氬拰鏂瑰悜鍫存蹇点€�
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2銆佷竴闅庡井鍒嗘柟绋嬬殑鍒濈瓑瑙ｆ硶
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璁婇噺鍒嗛洟鏂圭▼鑸囪畩閲忚畩鎻�銆佺窔鎬ф柟绋嬪強甯告暩(sh霉)璁婃槗娉曘€佹伆鐣舵柟绋嬭垏绌嶅垎鍥犲瓙銆�
涓€闅庨毐鏂圭▼鑸囧弮鏁�(sh霉)琛ㄧず
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瑙ｉ綂娆�銆侀潪榻婃姒傚康銆�
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(3) 鎺屾彙瑙ｆ伆鐣舵柟绋嬬殑绌嶅垎鍥犲瓙娉�銆�
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3銆佷竴闅庡井鍒嗘柟绋嬬殑瑙ｇ殑瀛樺湪瀹氱悊
鑰冭│鍏�(n猫i)瀹�
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寰€у畾鐞嗐€佸瑙�
鑰冭│瑕佹眰
(1) 鎺屾彙 Picard 閫愭閫艰繎鏂规硶锛岀悊瑙ｈВ鐨勫瓨鍦ㄥ敮涓€鎬у畾鐞�銆�
(2) 鐞嗚В瑙ｇ殑寤舵嫇锛岄€ｇ簩(x霉)鎬�锛屽彲寰€э紝鍞竴鎬�銆�
(3) 鎺屾彙濂囪В鐨勬蹇靛強鐩搁棞(gu膩n)瀹氱悊銆�
4銆侀珮闅庡井鍒嗘柟绋�
鑰冭│鍏�(n猫i)瀹�
绶氭€у父寰垎鏂圭▼鐨勪竴鑸悊璜栥€佸父绯绘暩(sh霉)绶氭€ф柟绋嬬殑瑙ｆ硶銆侀珮闅庢柟绋嬬殑璎涜В鍜�
鍐礆鏁�(sh霉)瑙ｆ硶銆�
鑰冭│瑕佹眰
(1) 鐔熸倝绶氭€у井鍒嗘柟绋嬬殑涓€鑸悊璜栵紝鏈冪敤甯告暩(sh霉)璁婃槗娉曡В闈為綂绶氭€ф柟绋�.
(2)鎺屾彙甯哥郴鏁�(sh霉)绶氭€ф柟绋嬬殑瑙ｆ硶锛堟渻鍗€(q奴)鍒嗛綂娆¤垏闈為綂娆℃柟绋嬭В涔嬮枔鐨勯棞(gu膩n)
绯伙級锛屼簡瑙ｆ媺鏅媺鏂畩鎻涙硶銆�
(3)鐞嗚В鎺屾彙楂橀殠鏂圭▼鐨勯檷闅庡拰鍐礆鏁�(sh霉)瑙ｆ硶銆�
5銆佺窔鎬у井鍒嗘柟绋嬬祫
鑰冭│鍏�(n猫i)瀹�
瀛樺湪鍞竴鎬у畾鐞嗐€佺窔鎬у井鍒嗘柟绋嬬祫鐨勪竴鑸悊璜�銆佸父绯绘暩(sh霉)绶氭€у井鍒嗘柟绋嬬祫
鑰冭│瑕佹眰
(1)鐞嗚В瀛樺湪鍞竴鎬у畾鐞�銆佹帉鎻＄窔鎬у井鍒嗘柟绋嬬祫鐨勪竴鑸悊璜栥€�
(2)鎺屾彙 Picard 閫艰繎鏂规硶锛屽熀瑙ｇ煩闄ｇ殑姹傛硶锛岄潪榻婄窔鎬у井鍒嗘柟绋嬬祫鐨勫父鏁�(sh霉)
璁婃槗鍏紡銆�
(3)浜嗚В鐭╅櫍鎸囨暩(sh霉)鐨勫畾缇╁強鎬ц唱(zh矛)銆佹帉鎻″熀瑙ｇ煩闄ｇ殑瑷堢畻鍏紡鍙婃媺鏅媺鏂畩
鎻涚殑鎳夌敤銆�
6銆侀潪绶氭€у井鍒嗘柟绋嬪拰绌�(w臎n)瀹氭€�
鑰冭│鍏�(n猫i)瀹�
闆惰В鐨勭┅(w臎n)瀹氭€с€佺浉骞抽潰銆佹寜绶氭€ц繎浼兼焙瀹氬井鍒嗘柟绋嬬祫鐨勭┅(w臎n)瀹氭€�
鑰冭│瑕佹眰
(1)鎺屾彙闆惰В鐨勫咕绋┅(w臎n)瀹氭€ф蹇碉紝鏈冨崁(q奴)鍒嗗湪涓嶅悓姊濅欢涓嬬殑绌�(w臎n)瀹氭€�銆�
(2)鎺屾彙浜岀董绶氭€у井鍒嗘柟绋嬪绔嬪榛炵殑鍒嗛锛屽苟鐣嚭鐩稿湒銆�
(3)鎺屾彙鎸夌窔鎬ц繎浼煎垽瀹氬榛炵殑鍒嗛鑸囩┅(w臎n)瀹氭€�銆�
锛堜簩锛夊亸寰垎鏂圭▼閮ㄥ垎
1銆佹柟绋嬬殑灏庡嚭鍜屽畾瑙ｅ晱椤�
鑰冭│鍏�(n猫i)瀹�
顥ヮ棩 鍋忓井鍒嗘柟绋嬬殑鍩烘湰姒傚康锛涗笁椤炲吀鍨嬫柟绋嬬殑灏庡嚭锛涘亸寰垎鏂圭▼瀹氳В鍟忛鐨勬彁
娉曡垏閬╁畾鎬у晱椤�锛涚枈鍔犲師鐞�锛涗簩闅庣窔鎬у亸寰垎鏂圭▼鐨勫寲绨¤垏鍒嗛
鑰冭│瑕佹眰
锛�1锛変簡瑙ｅ亸寰垎鏂圭▼鐨勬蹇碉紝鎺屾彙瀹氳В姊濅欢鐨勬彁娉�銆佸畾瑙ｅ晱椤屽強瀹氳В鍟忛
閬╁畾鎬�銆�
锛�2锛夋帉鎻′簩闅庣窔鎬у亸寰垎鏂圭▼鐨勫寲绨¤垏鍒嗛锛屾渻灏囧叐鍊嬭嚜璁婇噺鐨勪簩闅庣窔鎬�
鍋忓井鍒嗘柟绋嬪寲鎴愭婧栧瀷銆�
2銆佹尝鍕曟柟绋嬭垏琛屾尝娉�
鑰冭│鍏�(n猫i)瀹�
(1)涓€缍尝鍕曟柟绋嬪垵鍊煎晱椤�: 閬旀湕璨濈埦鍏紡锛涗緷璩村崁(q奴)鍩�銆佹焙瀹氬崁(q奴)鍩熻垏褰遍熆
鍗€(q奴)鍩�锛涚劇鐣屽鸡鐨勫彈杩尟鍕曡垏榻婃鍖栧師鐞�锛涘崐鐒＄晫寮︾殑鎸嫊鍟忛
(2)涓夌董娉㈠嫊鏂圭▼鍒濆€煎晱椤屽拰鐞冮潰娉細涓夌董娉㈠嫊鏂圭▼鐞�?q奴)唯Q瑙ｏ紱涓夌董娉㈠嫊
鏂圭▼鐨� Possion 鍏紡鍙婄墿鐞嗘剰缇�锛涢潪榻婃鏂圭▼鍒濆€煎晱椤�
(3)浜岀董娉㈠嫊鏂圭▼鐨勫垵鍊煎晱椤屽強闄嶇董娉�
鑰冭│瑕佹眰
顥� 锛�1锛変簡瑙ｅ浣曠敤閬旀湕璨濈埦鍏紡姹傝В鍒濆€煎晱椤�锛涗簡瑙ｄ緷璩村崁(q奴)鍩�銆佸奖闊垮崁(q奴)鍩�
鍙婃焙瀹氬崁(q奴)鍩�锛涜兘鐔熺反鎳夌敤閬旀湕璨濈埦鍏紡銆丳ossion 鍏紡銆佸強闄嶇董娉曟眰
瑙ｄ簩缍尝鍕曟柟绋�銆�
锛�2锛夎兘鐔熺反鎳夌敤鑳介噺涓嶇瓑寮忚瓑鏄庡垵鍊煎晱椤岃В鐨勫敮涓€鎬у強閫ｇ簩(x霉)渚濊炒鎬с€�
锛�3锛夎兘鍒╃敤寤舵嫇娉曟眰瑙ｅ崐鐒￠檺闀锋尟鍕曟柟绋嬪垵閭婂€煎晱椤�銆�
锛�4锛夎兘鍒╃敤榻婃鍖栧師鐞嗘眰瑙ｉ潪榻婃鏂圭▼鍒濆€煎晱椤屻€�
3銆佸垎闆㈣畩閲忔硶
鑰冭│鍏�(n猫i)瀹�
(1)榻婃鏂圭▼鍜岄綂娆￠倞鐣屾浠剁殑瀹氳В鍟忛锛氭尝鍕曟柟绋嬬殑鍒濋倞鍊煎晱椤�銆佺啽鍌�
灏庢柟绋嬬殑鍒濋倞鍊煎晱椤�銆佸湏鍩熷収(n猫i)鎷夋櫘鎷夋柉鏂圭▼鐨勯倞鍊煎晱椤�
(2)闈為綂娆℃柟绋嬬殑瀹氳В鍟忛
(3)闈為綂娆￠倞鐣屾浠剁殑铏曠悊
鑰冭│瑕佹眰
锛�1锛夋渻鍒╃敤鍒嗛洟璁婇噺娉曟眰瑙ｉ綂娆℃柟绋嬪拰榻婃閭婄晫姊濅欢鐨勫畾瑙ｅ晱椤�銆�
锛�2锛夋渻鍒╃敤鐗瑰緛鍑芥暩(sh霉)灞曢枊姹傝В闈炲叾娆℃柟绋嬪畾瑙ｅ晱椤�銆�
锛�3锛夋渻铏曠悊闈為綂娆￠倞鐣屾浠跺畾瑙ｅ晱椤�銆�
4銆佺⿳鍒嗚畩鎻涙硶
鑰冭│鍏�(n猫i)瀹�
(1)Fourier 璁婃彌锛欶ourier 璁婃彌鐨勭悊璜栧熀绀�(ch菙)鍙婃€ц唱(zh矛)
(2) Fourier 璁婃彌鐨勬噳鐢細鐔卞偝灏庢柟绋嬪垵鍊煎晱椤岀殑瑙ｆ硶銆佸崐鐒＄晫鍟忛銆佷笁
缍啽鍌冲皫鏂圭▼鍒濆€煎晱椤�銆佸鸡鎸嫊鏂圭▼鐨� Fourier 璁婃彌瑙ｆ硶
(3)Laplace 璁婃彌鐨勫紩鍏ュ強鎬ц唱(zh矛)
鑰冭│瑕佹眰
锛�1锛変簡瑙� Fourier 璁婃彌瀹氱京鍙婃€ц唱(zh矛)銆佷簡瑙� Laplace 璁婃彌鐨勫畾缇╁強鎬ц唱(zh矛)銆佸嵎
绌嶇殑瀹氱悊鍙婃€ц唱(zh矛)銆�
锛�2锛夋渻鎳夌敤 Fourier 璁婃彌姹傝В鏌愪簺鍒濆€煎晱椤�銆�
锛�3锛夋渻鎳夌敤 Laplace 璁婃彌姹傝В鏌愪簺鍒濋倞鍊煎晱椤屻€�
5銆佽(di脿o)鍜屾柟绋嬭垏鏍兼灄鍑芥暩(sh霉)娉�
鑰冭│鍏�(n猫i)瀹�
Laplace 鏂圭▼瀹氳В鍟忛鐨勬彁娉曘€� Green 鍏紡鍜屾噳鐢�銆佽(di脿o)鍜屾柟绋嬪熀鏈В鍜�
瑙ｇ殑绌嶅垎琛ㄩ仈寮�銆丟reen 鍑芥暩(sh霉)鐨勬€ц唱(zh矛)鍙婁竴浜涚壒娈婂崁(q奴)鍩熶笂鐨� Green 鍑芥暩(sh霉)鍜�
Dirichlet 鍟忛鐨勮В锛涙媺鏅媺鏂柟绋嬬殑妤靛€煎師鐞嗚垏鎳夌敤
鑰冭│瑕佹眰
锛�1锛夋帉鎻� Laplace 鏂圭▼瀹氳В鍟忛鐨勬彁娉曪細绗竴閭婂€煎晱椤�銆佺浜岄倞鍊煎晱椤屽強
绗笁閭婂€煎晱椤�銆佸収(n猫i)鍟忛鍙婂鍟忛銆�
锛�2锛夋帉鎻� Green 鍏紡锛� 浜嗚В瑾�(di脿o)鍜屾柟绋嬬殑鍩烘湰瑙ｅ強鍩烘湰绌嶅垎琛ㄩ仈寮�銆�
锛�3锛夌悊瑙� Green 鍑芥暩(sh霉)鐨勬€ц唱(zh矛)鍙婃渻鎳夌敤涓€浜涚壒娈婂崁(q奴)鍩熶笂鐨� Green 鍑芥暩(sh霉)姹傝В
Dirichlet 鍟忛鐨勮В銆�
锛�4锛夎兘鎳夌敤鎷夋櫘鎷夋柉鏂圭▼妤靛€煎師鐞嗚瓑鏄庤В鐨勫敮涓€鎬у強閫ｇ簩(x霉)渚濊炒鎬�銆�.
6銆佹媼鐗╁瀷鏂圭▼
鑰冭│鍏�(n猫i)瀹�
鐔卞偝灏庢柟绋嬬殑妤靛€煎師鐞嗚垏鎳夌敤銆佺啽鍌冲皫鏂圭▼鐨勮兘閲忔柟娉曡垏鎳夌敤
鑰冭│瑕佹眰
锛�1锛夋渻鍒╃敤鐔卞偝灏庢柟绋嬬殑妤靛€煎師鐞嗚瓑鏄庤В鐨勫敮涓€鎬у強閫ｇ簩(x霉)渚濊炒鎬�銆�
锛�2锛夋渻鍒╃敤鐔卞偝灏庢柟绋嬭兘閲忔柟娉曡瓑鏄庤В鐨勯仼瀹氭€с€�
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