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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�(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�723 鑰冭│绉戠洰鍚嶇ū锛氭暩(sh霉)瀛�(xu茅)鍒嗘瀽
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 150 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
4)椤屽瀷绲�(ji茅)妲�(g貌u)
a: 濉┖椤岋紝10 灏忛锛屾瘡灏忛 7 鍒�锛屽叡 70 鍒�
b: 瑷庤珫椤�锛�3 灏忛锛屾瘡灏忛 10 鍒嗭紝鍏� 30 鍒�
c: 瑙ｇ瓟椤�(鍖呮嫭璀夋槑椤�)锛�5 灏忛锛屾瘡灏忛 10 鍒�锛屽叡 50 鍒�
浜�銆佽€冭│鍏�(n猫i)瀹硅垏鑰冭│瑕佹眰
1銆佹サ闄愯珫
鑰冭│鍏�(n猫i)瀹�
鈶� 鍚勭ó妤甸檺鐨勮▓(j矛)绠�锛� 鈶� 鍠(di脿o)鏈夌晫鏀舵杺鍘熺悊銆佽嚧瀵嗘€у畾鐞�銆佺⒑鐣屽師鐞�銆�
Cauchy 鏀舵杺鍘熺悊绛夊(sh铆)鏁�(sh霉)鍩烘湰鐞嗚珫鐨勯潏娲绘噳(y墨ng)鐢�锛� 鈶� 閫ｇ簩(x霉)鍑芥暩(sh霉)鐗瑰垾鏄枆鍗€(q奴)闁撲笂閫�
绾�(x霉)鍑芥暩(sh霉)鎬ц唱(zh矛)鐨勯亱(y霉n)鐢紱 鈶� 妤甸檺瀹氱京鐨勭啛绶存帉鎻＄瓑.
鑰冭│瑕佹眰
锛�1锛夎兘鐔熺反瑷�(j矛)绠楀悇绋サ闄�锛屽寘鎷柈璁婇噺鍜屽璁婇噺鎯呭舰.
锛�2锛夎兘鐔熺反鍒╃敤鍏€�(g猫)瀵�(sh铆)鏁�(sh霉)鍩烘湰瀹氱悊灏ゅ叾鏄柈瑾�(di脿o)鏈夌晫鏀舵杺鍘熺悊銆佽嚧瀵嗘€у畾鐞�銆�
纰虹晫鍘熺悊銆丆auchy 鏀舵杺鍘熺悊閫�(j矛n)琛屽悇绋悊璜栬瓑鏄庯紟
锛�3锛夎兘鐔熺反鎺屾彙鍠畩閲忛€ｇ簩(x霉)鍑芥暩(sh霉)鐗瑰垾鏄枆鍗€(q奴)闁撲笂閫ｇ簩(x霉)鍑芥暩(sh霉)鐨勫悇绋€ц唱(zh矛)锛屽苟鑳�
鍒╃敤閫欎簺鎬ц唱(zh矛)閫�(j矛n)琛岃▓(j矛)绠楀拰璀夋槑锛涙帉鎻″璁婇噺閫ｇ簩(x霉)鍑芥暩(sh霉)鐨勬€ц唱(zh矛)灏ゅ叾鏄湁鐣岄枆鍩熶笂閫�
绾�(x霉)鍑芥暩(sh霉)鐨勬€ц唱(zh矛)锛岃兘鍒╃敤閫欎簺鎬ц唱(zh矛)閫�(j矛n)琛岃▓(j矛)绠楀拰璀夋槑锛�
锛�4锛夌啛绶存帉鎻″悇绋サ闄愮殑瀹氱京锛屽苟鑳界敤閭忚集琛�(sh霉)瑾�(y菙)閫�(j矛n)琛岀悊璜栬瓑鏄�.
2銆佸柈璁婇噺寰垎瀛�(xu茅)
鑰冭│鍏�(n猫i)瀹�
鈶� 寰垎涓€煎畾鐞嗭紙鍖呮嫭 Roll 瀹氱悊銆丩agrange 涓€煎畾鐞�銆丆auchy 涓€煎畾鐞嗙瓑锛�
鐨勯潏娲婚亱(y霉n)鐢紙鍖呮嫭鍠(di脿o)鎬ц◣璜栥€佹サ鍊肩殑姹傚彇銆佸嚫鍑规€у晱椤�銆佺瓑寮忓拰涓嶇瓑寮忕殑璀�
鏄庣瓑锛�锛� 鈶� Talor 鍏紡鐨勯潏娲婚亱(y霉n)鐢紙鍖呮嫭鐢� Lagrange 浣欓爡(xi脿ng)褰㈠紡璀変笉绛夊紡銆佺敤
Peano 浣欓爡(xi脿ng)褰㈠紡浼拌▓(j矛)闅庝互鍙婃眰妤甸檺绛夛級锛涒憿 鍚勭ó褰㈠紡灏�(d菐o)鏁�(sh霉)鐨勮▓(j矛)绠楋紱 鈶� 灏�(d菐o)鏁�(sh霉)鐨�
瀹氱京鍜岄亱(y霉n)鐢ㄧ瓑.
鑰冭│瑕佹眰
锛�1锛夌啛绶存帉鎻″井鍒嗕腑鍊煎畾鐞�锛屽寘鎷� Roll 瀹氱悊銆丩agrange 涓€煎畾鐞�銆丆auchy
涓€煎畾鐞嗙殑姊濅欢鍜岀祼(ji茅)璜�锛岃兘鐔熺反鍒╃敤閫欎簺瀹氱悊閫�(j矛n)琛岀悊璜栬瓑鏄庢垨瑷�(j矛)绠�锛屽寘鎷嚱鏁�(sh霉)鍠�
瑾�(di脿o)鎬ц◣璜栥€佹サ鍊肩殑姹傚彇銆佸嚫鍑规€у晱椤岀殑瑷庤珫銆佺瓑寮忓拰涓嶇瓑寮忕殑璀夋槑绛夛紟
锛�2锛� 鐔熺反鎺屾彙 Talor 鍏紡鐨勬浠跺拰绲�(ji茅)璜�锛屽苟鑳藉仛鍒伴潏娲婚亱(y霉n)鐢�锛屽挨鍏舵槸鍒╃敤
Lagrange 浣欓爡(xi脿ng)褰㈠紡璀変笉绛夊紡銆丳eano 浣欓爡(xi脿ng)褰㈠紡浼拌▓(j矛)闅庝互鍙婃眰妤甸檺绛�.
锛�3锛夌啛绶存帉鎻″京(f霉)鍚堝嚱鏁�(sh霉)灏�(d菐o)鏁�(sh霉)鐨勮▓(j矛)绠楀拰楂橀殠灏�(d菐o)鏁�(sh霉)鐨勮▓(j矛)绠楋紟
锛�4锛夌啛绶存帉鎻″皫(d菐o)鏁�(sh霉)鐨勫畾缇╁拰鎬ц唱(zh矛)锛岃兘鐢ㄩ倧杓獮(y菙)瑷€閫�(j矛n)琛岀悊璜栬瓑鏄�锛岀啛绶存帉鎻�
鍒╃敤灏�(d菐o)鏁�(sh霉)瀹氱京閫�(j矛n)琛岃瓑鏄庢垨瑷�(j矛)绠�.
3銆佸柈璁婇噺绌嶅垎瀛�(xu茅)
鑰冭│鍏�(n猫i)瀹�
鈶� 鍚勭ó涓嶅畾绌嶅垎鍜屽畾绌嶅垎鐨勭啛绶磋▓(j矛)绠�锛屽挨鍏舵槸瑷�(j矛)绠椾腑鐨勮檿鐞嗘妧宸э紱 鈶� 寤ｇ京
绌嶅垎鐨勮▓(j矛)绠楀拰鏂傛暎鎬у垽鍒�锛� 鈶� 瀹氱⿳鍒嗙殑瀹氱京鍜屾€ц唱(zh矛)鐨勯潏娲婚亱(y霉n)鐢ㄧ瓑.
鑰冭│瑕佹眰
锛�1锛夌啛绶磋▓(j矛)绠楀悇绋笉瀹氱⿳鍒�銆佸畾绌嶅垎锛岀啛绶存帉鎻℃箠寰垎娉曘€佹彌鍏冩硶銆佸垎閮�
绌嶅垎娉曚互鍙婂父鐢ㄧ殑瑷�(j矛)绠楁妧宸�锛岀啛绶存帉鎻″鍋跺嚱鏁�(sh霉)銆佸懆鏈熷嚱鏁�(sh霉)鐨勭⿳鍒嗙壒榛�(di菐n)锛�
锛�2锛夌啛绶存帉鎻″唬缇╃⿳鍒嗙殑瑷�(j矛)绠楋紝鐔熺反鎺屾彙鍗€(q奴)闁撶劇(w煤)闄愬瀷銆佸嚱鏁�(sh霉)鐒�(w煤)鐣屽瀷浠ュ強娣�
鍚堝瀷寤ｇ京绌嶅垎鐨勬杺鏁ｆ€у垽鍒ワ紝骞惰兘閫�(j矛n)琛岀悊璜栬瓑鏄庯紟
锛�3锛夌啛绶存帉鎻″畾绌嶅垎鐨勫畾缇�锛岃兘鍒╃敤瀹氱⿳鍒嗙殑瀹氱京閫�(j矛n)琛屾サ闄愮殑瑷�(j矛)绠�锛岀啛绶�
鎺屾彙瀹氱⿳鍒嗙殑鎬ц唱(zh矛)锛屽苟鑳藉埄鐢ㄩ€欎簺鎬ц唱(zh矛)閫�(j矛n)琛岀悊璜栬瓑鏄庯紝鎺屾彙甯哥敤鍙⿳鍑芥暩(sh霉)椤烇紟
4銆佺礆(j铆)鏁�(sh霉)璜�
鑰冭│鍏�(n猫i)瀹�
鈶� 鍚勭ó鏁�(sh霉)闋�(xi脿ng)绱�(j铆)鏁�(sh霉)灏ゅ叾鏄闋�(xi脿ng)绱�(j铆)鏁�(sh霉)鐨勬杺鏁ｆ€у垽鍒ワ紱鈶� 鏁�(sh霉)闋�(xi脿ng)绱�(j铆)鏁�(sh霉)鐨勬€ц唱(zh矛)
鈶� 鍑芥暩(sh霉)鍒楀拰鍑芥暩(sh霉)闋�(xi脿ng)绱�(j铆)鏁�(sh霉)鐨勪竴鑷存敹鏂傛€у垽鍒�锛岀郸瀹氬嚱鏁�(sh霉) Fourier 绱�(j铆)鏁�(sh霉)鐨勫睍闁嬪拰鐗规畩
榛�(di菐n)鐨勬敹鏂傛€�锛涒懀鍑芥暩(sh霉)鍒楀拰鍑芥暩(sh霉)闋�(xi脿ng)绱�(j铆)鏁�(sh霉)涓€鑷存敹鏂傛€ц唱(zh矛)鐨勯潏娲婚亱(y霉n)鐢� 锛涒懁鍐礆(j铆)鏁�(sh霉)鐨勬敹
鏂傛€у拰灞曢枊绛夌煡璀�(sh铆)鐨勭啛绶存帉鎻�.
鑰冭│瑕佹眰
锛�1锛夌啛绶存帉鎻＄礆(j铆)鏁�(sh霉)鐨勬杺鏁ｆ€у垽鍒�锛屽挨鍏舵槸姝ｉ爡(xi脿ng)绱�(j铆)鏁�(sh霉)鍜屼氦閷�(cu貌)绱�(j铆)鏁�(sh霉)鏂傛暎鎬у垽鍒�.
锛�2锛夋帉鎻℃暩(sh霉)闋�(xi脿ng)绱�(j铆)鏁�(sh霉)鐨勪竴浜涘父鐢ㄦ€ц唱(zh矛)锛屽挨鍏舵槸绲曞皪(du矛)鏀舵杺绱�(j铆)鏁�(sh霉)鑸囨浠舵敹鏂傜祼(ji茅)鏉�
鐨勫父瑕�(gu墨)鎬ц唱(zh矛).
锛�3锛夌啛绶存帉鎻″嚱鏁�(sh霉)鍒楀拰鍑芥暩(sh霉)闋�(xi脿ng)绱�(j铆)鏁�(sh霉)涓€鑷存敹鏂傛€х殑鍒ゅ垾锛屽挨鍏舵槸鐢ㄥ畾缇┿€佸劒(y艒u)
绱�(j铆)鏁�(sh霉)鍒ゅ垾娉�銆丄bel 鍒ゅ垾娉�銆丏irichlet 鍒ゅ垾娉曞垽鍒ュ嚱鏁�(sh霉)闋�(xi脿ng)绱�(j铆)鏁�(sh霉)鐨勪竴鑷存敹鏂傛€э紝鐔熺反
鎺屾彙绲﹀畾鍑芥暩(sh霉)鐨� Fourier 灞曢枊锛岃兘绲﹀嚭 Fourier 绱�(j铆)鏁�(sh霉)鍦ㄧ壒娈婇粸(di菐n)鐨勬敹鏂傛€�.
锛�4锛夌啛绶存帉鎻″嚱鏁�(sh霉)鍒楀拰鍑芥暩(sh霉)闋�(xi脿ng)绱�(j铆)鏁�(sh霉)涓€鑷存敹鏂傛€х殑鎬ц唱(zh矛)閬�(y霉n)鐢紝鍖呮嫭閫ｇ簩(x霉)鎬�銆�
鍙⿳鎬у拰鍙井鎬�锛岃兘鍒╃敤閫欎簺鎬ц唱(zh矛)閫�(j矛n)琛岀悊璜栬瓑鏄�.
锛�5锛夌啛绶存帉鎻″啰绱�(j铆)鏁�(sh霉)鏀舵杺鍗€(q奴)闁撶殑姹傛硶锛岀啛绶存帉鎻″父瑕�(gu墨)鍑芥暩(sh霉)鐨勫啰绱�(j铆)鏁�(sh霉)灞曢枊锛�
骞舵帉鎻′竴浜涚壒娈婂啰绱�(j铆)鏁�(sh霉)鍜屽嚱鏁�(sh霉)鐨勬眰娉�.
5銆佸璁婇噺寰垎瀛�(xu茅)鍜屽弮璁婇噺绌嶅垎
鑰冭│鍏�(n猫i)瀹�
鈶� 鍙井鐨勫畾缇╋紱 鈶� 姹傚京(f霉)鍚堝嚱鏁�(sh霉)浠ュ強闅卞嚱鏁�(sh霉)鐨勫亸灏�(d菐o)鏁�(sh霉)锛� 鈶� 澶氬厓鍑芥暩(sh霉)妤靛€�
鐞嗚珫锛� 鈶� 鍙冭畩閲忕⿳鍒嗙殑涓€鑷存敹鏂傛€у垽鍒ワ紱 鈶� 鍙冭畩閲忕⿳鍒嗙殑瑷�(j矛)绠�锛� 鈶� 鍙冭畩
閲忕⿳鍒嗕竴鑷存敹鏂傛€ц唱(zh矛)鐨勯亱(y霉n)鐢ㄧ瓑.
鑰冭│瑕佹眰
锛�1锛夋帉鎻″鍏冨嚱鏁�(sh霉)鍙井鐨勫畾缇�锛岃兘鐔熺反鍒╃敤瀹氱京璀夋槑鏌愪簺甯歌(gu墨)鍑芥暩(sh霉)鐨勫彲寰�
鎬э紝鎺屾彙澶氬厓鍑芥暩(sh霉)鍙井銆侀€ｇ簩(x霉)銆佸彲姹傚亸灏�(d菐o)涔嬮枔鐨勯棞(gu膩n)绯�.
锛�2锛夌啛绶存帉鎻″鍏冨嚱鏁�(sh霉)寰�(f霉)鍚堝嚱鏁�(sh霉)姹傚亸灏�(d菐o)鏁�(sh霉)灏ゅ叾鏄珮闅庡亸灏�(d菐o)鏁�(sh霉)锛屾帉鎻℃柟绋嬫垨
鏂圭▼绲勭⒑瀹氱殑闅卞嚱鏁�(sh霉)鍋忓皫(d菐o)鐨勮▓(j矛)绠�.
锛�3锛夌啛绶存帉鎻″鍏冨嚱鏁�(sh霉)妤靛€肩殑瑷�(j矛)绠楋紝骞惰兘瑷�(j矛)绠楁湁鐣岄枆鍩熶笂閫ｇ簩(x霉)鍑芥暩(sh霉)鐨勬渶鍊�..
锛�4锛夌啛绶存帉鎻″惈鍙冭畩閲忓唬缇╃⿳鍒嗕竴鑷存敹鏂傛€х殑鍒ゅ垾.
锛�5锛夌啛绶存帉鎻″惈鍙冭畩閲忓父缇╃⿳鍒嗗拰寤ｇ京绌嶅垎鐨勮▓(j矛)绠�.
锛�6锛夌啛绶存帉鎻″惈鍙冭畩閲忓父缇╃⿳鍒嗗拰寤ｇ京绌嶅垎鐨勯€ｇ簩(x霉)鎬�銆佸彲绌嶆€у拰鍙皫(d菐o)鎬�锛�
骞惰兘鍒╃敤閫欎簺鎬ц唱(zh矛)閫�(j矛n)琛岃▓(j矛)绠楀拰璀夋槑..
6銆佸鍏冪⿳鍒嗗(xu茅)
鑰冭│鍏�(n猫i)瀹�
鈶犱簩閲嶇⿳鍒�銆佷笁閲嶇⿳鍒嗙殑瑷�(j矛)绠�锛� 鈶� 鏍兼灄鍏紡銆侀珮鏂叕寮忕殑闈堟椿閬�(y霉n)鐢�锛�
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[1] 寰�(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. 楂樼瓑鏁欒偛鍑虹増绀�, 1979
[2] 鑿澅甯寖澶у(xu茅)鏁�(sh霉)瀛�(xu茅)绯荤法. 鏁�(sh霉)瀛�(xu茅)鍒嗘瀽 楂樼瓑鏁欒偛鍑虹増绀�, 2001
[3] 寮靛(xu茅)杌�銆佺帇浠欐绛夌法. 鏁�(sh霉)瀛�(xu茅)鍒嗘瀽閬歌瑳. 婀栧崡甯寖澶у(xu茅)鍑虹増绀撅紝2012
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