|
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€冨崥鐪熼銆佺瓟妗堬紝閮ㄥ垎瀛告牎鏇存柊鑷�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
绉戠洰浠ｇ⒓锛欶1001 绉戠洰鍚嶇ū锛氬璁婂嚱鏁�(sh霉)
涓€銆佽€冭│瑕佹眰
涓昏鑰冨療鑰冪敓鏄惁鎺屾彙浜嗗璁婂嚱鏁�(sh霉)鐨勫熀鏈蹇�銆佸熀鏈悊璜栧拰鍩烘湰
鏂规硶锛屽寘鎷泦鍚堢殑鍕㈣垏灏嶇瓑銆丅orel闆嗛銆丩ebesgue娓害銆佸彲娓嚱鏁�(sh霉)銆�
鍙脯鍑芥暩(sh霉)鐨勬敹鏂�銆丩ebesgue绌嶅垎绛夌殑鍩烘湰姒傚康锛涢泦鍚堝簭鍒楃殑涓婁笅闄愰泦銆�
鍙脯闆嗙稉(j墨ng)浜ゅ苟宸亱绠椼€丩ebesgue绌嶅垎绛夌殑瑷堢畻鏂规硶锛孋antor 闆嗙殑妲�(g貌u)
閫犮€佸彲娓嚱鏁�(sh霉)鈥滃咕涔庤檿铏曟敹鏂傗€濊垏鈥滄脯搴︽敹鏂傗€濅互鍙娾€滆繎涓€鑷存敹鏂傗€�
涔嬮枔鐨勯棞绯�锛孡ebesgue绌嶅垎鑸囧唬缇㏑iemann绌嶅垎鐨勭暟鍚�锛屼竴鑸彲娓嚱
鏁�(sh霉)绌嶅垎鐨勬€ц唱(zh矛)銆俁iemann 鍙⿳鎬ц垏Lebesgue鍙⿳鎬т箣闁撶殑闂滅郴锛�
Lebesgue绌嶅垎鐨勬サ闄愬畾鐞嗙瓑锛涗互鍙婃槸鍚﹀叿鍌欓亱鐢ㄥ熀鏈悊璜栧拰鍩烘湰鏂规硶锛�
鍒嗘瀽瑙ｆ焙鍟忛鐨勮兘鍔�銆�
浜屻€佽€冭│鍏�(n猫i)瀹�
1銆侀泦鍚堢殑鍩烘湰閬嬬畻锛涢泦鍚堝簭鍒楃殑涓�銆佷笅闄愰泦銆傞泦鍚堢殑鍕㈢殑瀹氱京锛�
鍕㈢殑鎬ц唱(zh矛)锛屽嫝鐨勬瘮杓�銆傚父瑕嬮泦鍚堢殑鍕㈠強鍏跺熀鏈€ц唱(zh矛)锛�
2銆乶缍┖闁撲腑闆嗗悎鐨勫収(n猫i)榛�銆侀倞鐣岄粸銆佽仛榛�銆侀枊闆�銆侀枆闆嗙瓑姒傚康锛�
鏄庣⒑闁嬮泦鐨勬(g貌u)閫�.鐞嗚В瀹屽倷闆嗙殑姒傚康,鐗瑰垾瑕佹帉鎻antor 闆�锛�
3銆佸娓害姒傚康锛屽娓害鑸囬珨绌嶇殑闂滅郴锛屽彲娓泦鐨勫畾缇╁強鍏舵€ц唱(zh矛)锛�
鍖呮嫭鍙脯闆嗙稉(j墨ng)浜�銆佸苟銆佸樊閬嬬畻鍚庣殑鍙脯鎬�锛屽彲鏁�(sh霉)鍊嬪彲娓泦鐨勪氦闆嗘垨骞�
闆嗙殑鍙脯鎬�銆佸彲鏁�(sh霉)鍙姞鎬т互鍙婂彲娓泦搴忓垪鐨勬サ闄愪箣鍙脯鎬�銆侭orel闆�
椤烇紱Lebesgue鍙脯闆嗙殑绲�(ji茅)妲�(g貌u)锛�
4銆佸彲娓嚱鏁�(sh霉)鐨勬蹇�,鍙脯鍑芥暩(sh霉)鐨勭壒寰佹€ц唱(zh矛),绨″柈鍑芥暩(sh霉)鐨勬湁闂滄€ц唱(zh矛)銆�
鎺屾彙鈥滃咕涔庤檿铏曟敹鏂傗€濊垏鈥滄脯搴︽敹鏂傗€濅互鍙娾€滆繎涓€鑷存敹鏂傗€濈殑姒傚康鍜�
瀹冨€戜箣闁撶殑闂滅郴锛�
5銆佷竴鑸彲娓嚱鏁�(sh霉)绌嶅垎鐨勫畾缇�锛孡ebesgue绌嶅垎鑸囧唬缇㏑iemann绌嶅垎
鐨勭暟鍚岋紝涓€鑸彲娓嚱鏁�(sh霉)绌嶅垎鐨勬€ц唱(zh矛)銆俁iemann 鍙⿳鎬ц垏Lebesgue鍙⿳
鎬т箣闁撶殑闂滅郴銆侺ebesgue绌嶅垎鐨勬サ闄愬畾鐞嗭紝鍖呮嫭Levi瀹氱悊銆丗atou寮�
鐞嗐€� Lebesue鎺у埗鏀舵杺瀹氱悊鍙婂叾鎳夌敤锛孯iemann鍙⿳鐨勫厖瑕佹浠�銆傛帉
鎻 绌嶅垎鐨勬蹇�,鐞嗚ВL 绌嶅垎鍜孯 绌嶅垎鐨勯棞绯�.鎺屾彙L 绌嶅垎鐨勬€ц唱(zh矛),灏�
鏈夐棞L 绌嶅垎鐨勪笁鍊嬫サ闄愬畾鐞嗗強鍏舵噳鐢�銆�
涓夈€侀鍨�
瑭﹀嵎婊垮垎鐐� 100 鍒�锛屽叾涓細鍒ゆ柗椤屽崰 30%锛岃▓绠楀垎鏋愰鍗� 20%锛岃瓑鏄�
椤屽崰 50%銆�
鍥�銆佸弮鑰冩暀鏉�
1锛庛€婂璁婂嚱鏁�(sh霉)鑸囨硾鍑藉垎鏋愬熀绀庛€�(绗笁鐗�)锛庣▼鍏惰绛夛紟楂樼瓑鏁欒偛
鍑虹増绀�锛�2010銆�
2锛庛€婂璁婂嚱鏁�(sh霉)鑸囨硾鍑藉垎鏋愭瑕併€嬶紙绗笁鐗堬級锛庨劖缍銆佺帇鑱叉湜涓荤法锛庨珮
绛夋暀鑲插嚭鐗堢ぞ锛�2005銆�
鍏嶈铂鑱叉槑锛氭湰鏂囩郴杞�(zhu菐n)杓夎嚜缍�(w菐ng)绲�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€嬩汉瑙€榛烇紝鑸囨湰缍�(w菐ng)绔欑劇闂�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�銆佹枃瀛楃殑鐪熷鎬�銆佸畬鏁存€с€佸強鏅傛€ф湰绔欎笉浣滀换浣曚繚璀夋垨鎵胯锛岃珛璁€鑰呭儏浣滃弮鑰冿紝骞惰珛鑷鏍稿鐩搁棞鍏�(n猫i)瀹�銆�
|
鏂囩珷鎼滅储
鎮ㄧ従(xi脿n)鍦ㄧ殑浣嶇疆锛� 
