|
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�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
鎴愰兘淇℃伅宸ョ▼澶у(xu茅)
2018 骞寸ⅸ澹爺绌剁敓鍏ュ(xu茅)鑰冭│鑷懡椤岀鐩�
鑰冭│澶х侗锛�
鑰冭│闅庢锛氬京(f霉)瑭� 绉戠洰婊垮垎鍊硷細100
鑰冭│绉戠洰锛氶粸闆嗘嫇?f霉)閶礧(xu茅) 绉戠洰浠ｇ⒓锛�
鑰冭│鏂瑰紡锛氶枆鍗风瓎瑭� 鑰冭│鏅傞暦锛�180 鍒嗛悩
涓€銆佺鐩殑绺介珨瑕佹眰
瑕佹眰鑰冪敓鍏ㄩ潰绯荤当(t菕ng)鍦版帉鎻￠粸闆嗘嫇?f霉)娣呯鎽板箷願㈠眬顎禦锛屽叿鍌欒純寮风殑鍒�
鏋愬晱椤岃垏瑙ｆ焙鍟忛鐨勮兘鍔�銆�
浜屻€佽€冩牳鍏�(n猫i)瀹硅垏鑰冩牳瑕佹眰
銆婃嫇?f霉)閶礧(xu茅)銆嬪叡鍖呭惈 3 鍊嬮儴鍒嗙殑鍏�(n猫i)瀹�锛屽叾涓�锛屾嫇?f霉)娣囪嚮g鑸囬€ｇ簩(x霉)鏄犲皠
锛堢磩 30 鍒嗭級銆佹嫇?f霉)娣囪嚮g閬嬬畻锛堝瓙绌洪枔銆佺⿳绌洪枔銆佸晢绌洪枔锛夛紙绱� 20 鍒嗭級銆�
鎷�?f霉)娣囪嚮g鎬ц唱(zh矛)锛堥€ｉ€氭€�銆佸彲鏁�(sh霉)鎬с€佸垎闆㈡€�銆佺穵鑷存€э級锛堢磩 50 鍒嗭級銆�
绗竴閮ㄥ垎鎷�?f霉)娣囪嚮g鑸囬€ｇ簩(x霉)鏄犲皠
鑰冩牳鍏�(n猫i)瀹癸細搴﹂噺绌洪枔鍜岄€ｇ簩(x霉)鏄犲皠鎷�?f霉)娣囪嚮g鍜岄€ｇ簩(x霉)鏄犲皠閯板煙鑸囬劙鍩�
绯诲皫(d菐o)闆嗛枆闆嗛枆鍖呭収(n猫i)閮ㄩ倞鐣屽熀鑸囧瓙鍩烘嫇?f霉)娣囪嚮g涓殑搴忓垪
鑰冩牳瑕佹眰锛�
灏嶅害閲忕┖闁�銆佹嫇?f霉)娣囪嚮g銆侀枊闆�銆侀劙鍩�銆佹槧灏勫湪涓€榛為€ｇ簩(x霉)銆侀€ｇ簩(x霉)鏄�
灏�銆佸害閲忚獦灏�(d菐o)鐨勬嫇?f霉)?銆佸彲搴﹂噺鍖栫┖闁�銆佸悓鑳氥€佹嫇?f霉)娲宠洈鍐冨啀|(zh矛)銆侀劙鍩熺郴銆�
鑱氶粸銆佸绔嬮粸銆侀枆闆�銆侀枆鍖呫€佸収(n猫i)榛�銆佸収(n猫i)閮ㄣ€侀倞鐣岄粸銆侀倞鐣�銆佸熀銆佸瓙鍩�銆�
閯板煙鍩�銆侀劙鍩熷瓙鍩�銆佸簭鍒椼€佸簭鍒楃殑妤甸檺榛�銆佹敹鏂傘€佸瓙搴忓垪绛夋蹇佃姹傝瓨
瑷�锛屾帉鎻″畠鍊戠殑鎬ц唱(zh矛)锛屽苟鏈冩噳(y墨ng)鐢ㄩ€欎簺鎬ц唱(zh矛)瑙ｆ焙鍟忛锛�
锛�2锛夋帉鎻℃嫇?f霉)娣囪嚮g鐨勯璀夋柟娉�锛屽強涓€浜涙瘮杓冪壒娈婄殑鎷�?f霉)娣囪嚮g锛堥洟
鏁ｆ嫇?f霉)娣囪嚮g锛屽钩搴告嫇?f霉)娣囪嚮g锛屽彲鏁�(sh霉)瑁滅┖闁擄紝鏈夐檺瑁滅┖闁撶瓑锛�锛�
锛�3锛夌悊瑙ｆ嫇?f霉)娣囪嚮g鐨勫畾缇╁強鏈夐棞(gu膩n)鎷�?f霉)娣囪嚮g鐨勬蹇�锛屾嫇?f霉)娣囪嚮g閫ｇ簩(x霉)
鏄犲皠鐨勫畾缇╋紝閫ｇ簩(x霉)鏄犲皠鐨勪竴浜涚瓑鍍瑰畾缇�銆�
绗簩閮ㄥ垎鎷�?f霉)娣囪嚮g閬嬬畻
鑰冩牳鍏�(n猫i)瀹癸細瀛愮┖闁撴湁闄愮⿳绌洪枔鍟嗙┖闁�
鑰冩牳瑕佹眰锛�
锛�1锛夊皪瀛愮┖闁撴嫇?f霉)?锛屾湁闄愮⿳鎷�?f霉)?锛屽晢鎷�?f霉)娲光懚搴�?銆佺⿳绌洪枔銆佹姇灏�銆�
鍟嗘槧灏�銆佸晢绌洪枔銆侀枊锛堥枆锛夋槧灏勭殑瀹氱京瑕佹眰璀樿锛�
锛�2锛夌悊瑙ｅ瓙绌洪枔鎷�?f霉)?銆佹湁闄愮⿳鎷�?f霉)娴滆湑鎺忚矤(f霉)娓慶鍘熸嫇?f霉)娣囪嚮g鎷�?f霉)娑�?br/>闂�(gu膩n)绯�锛�
锛�3锛夋帉鎻″瓙绌洪枔鎷�?f霉)?锛屾湁闄愮⿳鎷�?f霉)?锛屽晢鎷�?f霉)娣囪嚮g涓殑闁嬮泦鐨勭壒榛�
鑸囨€ц唱(zh矛)锛�
锛�4锛夋渻鎳�(y墨ng)鐢ㄥ瓙绌洪枔銆佹湁闄愮⿳绌洪枔銆佸晢绌洪枔鐨勬€ц唱(zh矛)銆�
绗笁閮ㄥ垎鎷�?f霉)娣囪嚮g鎬ц唱(zh矛)
1.閫ｉ€氭€�
鑰冩牳鍏�(n猫i)瀹癸細閫ｉ€氭€х殑鎳�(y墨ng)鐢ㄩ€ｉ€氬垎鏀眬閮ㄩ€ｉ€氱┖闁撻亾璺€ｉ€氱┖闁撻亾
璺€ｉ€氬垎鏀�
鑰冩牳瑕佹眰锛�
锛�1锛夊皪閫ｉ€氱┖闁撱€侀亾璺€ｉ€氱┖闁�銆佸眬閮ㄩ€ｉ€氱┖闁撱€佹湁闄愬彲绌嶆€ц唱(zh矛)銆�
閫ｉ€氬瓙闆嗐€侀€ｉ€氬垎鏀€佸眬閮ㄩ€ｉ€氱┖闁�銆侀亾璺€ｉ€氱┖闁撶瓑姒傚康瑕佹眰璀樿锛�
锛�2锛夌悊瑙ｉ€ｉ€氬瓙闆嗭紝閫ｇ簩(x霉)鏄犲皠淇濇寔涓嶈畩鐨勬€ц唱(zh矛)锛�
锛�3锛夋帉鎻￠€ｉ€氱┖闁撱€侀亾璺€ｉ€氱┖闁撱€佸眬閮ㄩ€ｉ€氱┖闁撱€佹湁闄愬彲绌嶆€�
璩�(zh矛)銆侀€ｉ€氬瓙闆�銆侀€ｉ€氬垎鏀�銆佸眬閮ㄩ€ｉ€氱┖闁�銆侀亾璺€ｉ€氱┖闁撶殑鎬ц唱(zh矛)锛屾帉鎻�
閫ｉ€氱┖闁�銆侀亾璺€ｉ€氱┖闁�銆佸眬閮ㄩ€ｉ€氱┖闁撳垽瀹氭柟娉�锛�
锛�4锛夋渻鎳�(y墨ng)鐢ㄩ€ｉ€氱┖闁撱€侀亾璺€ｉ€氱┖闁�銆佸眬閮ㄩ€ｉ€氱┖闁�銆佹湁闄愬彲绌�
鎬ц唱(zh矛)銆侀€ｉ€氬瓙闆嗐€侀€ｉ€氬垎鏀€佸眬閮ㄩ€ｉ€氱┖闁�銆侀亾璺€ｉ€氱┖闁撶殑鎬ц唱(zh矛)銆�
2.鍙暩(sh霉)鎬�
鑰冩牳鍏�(n猫i)瀹癸細绗竴鍙暩(sh霉)鎬у叕鐞嗙浜屽彲鏁�(sh霉)鎬у叕鐞嗗彲鍒嗙┖闁� Lindeloff 绌�
闁�
鑰冩牳瑕佹眰锛�
锛�1锛夊皪鍙暩(sh霉)鎬у叕鐞�銆佸彲鍒嗙┖闁撱€丩indeloff 绌洪枔绛夋蹇佃姹傝瓨瑷橈紱
锛�2锛夌悊瑙� A2 绌洪枔鍜� A1 绌洪枔鐨勯棞(gu膩n)绯伙紝鍙暩(sh霉)鎬у叕鐞嗙殑鍙伜鍌虫€ц唱(zh矛)
鍙婃湁闄愬彲绌嶆€ц唱(zh矛)锛�
锛�3锛夋帉鎻″彲鏁�(sh霉)鎬у叕鐞嗐€佸彲鍒嗙┖闁�銆丩indeloff 绌洪枔鐨勬€ц唱(zh矛)锛�
锛�4锛夋渻鎳�(y墨ng)鐢ㄥ彲鏁�(sh霉)鎬у叕鐞�銆佸彲鍒嗙┖闁�銆丩indeloff 绌洪枔鐨勬€ц唱(zh矛)銆�
3.鍒嗛洟鎬�
鑰冩牳鍏�(n猫i)瀹癸細T0銆乀1銆丠ausdorff 绌洪枔姝ｅ墖绌洪枔姝ｈ(gu墨)绌洪枔 T3銆乀4
绌洪枔 Urysohn 寮曠悊 Tietze 鎿村嫉瀹氱悊瀹屽叏姝ｅ墖绌洪枔 Tychonoff 绌洪枔鍒嗛洟
鎬у叕鐞嗚垏瀛愮┖闁撴湁闄愮⿳绌洪枔鍜屽晢绌洪枔鍙害閲忓寲绌洪枔
鑰冩牳瑕佹眰锛�
锛�1锛夊皪 T0銆乀1銆乀2銆乀3銆乀4銆佹鍓囥€佹瑕�(gu墨)銆佸畬鍏ㄦ鍓囩┖闁撱€�
Tychonoff 绌洪枔绛夋蹇佃姹傝瓨瑷樿В锛�
锛�2锛夌悊瑙� Urysohn 寮曠悊锛孴ietze 鎿村嫉瀹氱悊銆乁rysohn 宓屽叆瀹氱悊鐨�
鍏�(n猫i)瀹瑰強璀夋槑鏂规硶锛�
锛�3锛夋帉鎻� T0銆乀1銆佹鍓�銆佹瑕�(gu墨)銆佸畬鍏ㄦ鍓囥€乀ychonoff 绌洪枔鐨�
鎬ц唱(zh矛)锛�
锛�4锛夋渻鎳�(y墨ng)鐢� T0銆乀1銆佹鍓囥€佹瑕�(gu墨)銆佸畬鍏ㄦ鍓�銆乀ychonoff 绌洪枔
鐨勬€ц唱(zh矛)銆�
4.绶婅嚧鎬�
鑰冩牳鍏�(n猫i)瀹癸細绶婅嚧绌洪枔绶婅嚧鎬ц垏鍒嗛洟鎬у叕鐞嗗咕绋穵鑷存€т互鍙婂叾闁撻棞(gu膩n)
绯诲害閲忕┖闁撲腑鐨勭穵鑷存€у眬閮ㄧ穵鑷寸┖闁�
鑰冩牳瑕佹眰锛�
锛�1锛夊皪绶婅嚧銆佸彲鏁�(sh霉)绶婅嚧銆佸垪绶娿€佸簭鍒楃穵鑷�銆佸眬閮ㄧ穵鑷寸┖闁撶瓑姒傚康
瑕佹眰璀樿锛�
锛�2锛夌悊瑙ｇ穵鑷�銆佸彲鏁�(sh霉)绶婅嚧銆佸垪绶�銆佸簭鍒楃穵鑷寸殑鎬ц唱(zh矛)鍙婂叾鐩镐簰闂�(gu膩n)绯伙紱
锛�3锛夋帉鎻＄穵鑷�銆佺穵鑷村瓙闆�銆佸彲鏁�(sh霉)绶婅嚧銆佸垪绶�銆佸簭鍒楃穵鑷寸殑鎬ц唱(zh矛)锛�
绶婅嚧绌洪枔銆佺穵鑷村瓙闆嗐€佸彲鏁�(sh霉)绶婅嚧銆佸垪绶�銆佸簭鍒楃穵鑷寸┖闁撶殑鍒ゅ垾鏂规硶锛岀穵
鑷存€у拰鍒嗛洟鎬у叕鐞嗙殑闂�(gu膩n)绯伙紱
锛�4锛夋渻鎳�(y墨ng)鐢ㄧ穵鑷�銆佸彲鏁�(sh霉)绶婅嚧銆佸垪绶�銆佸簭鍒楃穵鑷寸殑鎬ц唱(zh矛)銆�
涓�銆侀鍨嬬祼(ji茅)妲�(g貌u)
鑰冭│婊垮垎 100 鍒�锛屽叾涓▓绠楅绱� 15 鍒嗭紝璀夋槑椤岀磩 85 鍒�銆�
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)锛屽鏈変镜鐘紝璜嬭伅(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�(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€�銆佸強鏅傛€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(gu膩n)鍏�(n猫i)瀹广€�
|
鏂囩珷鎼滅储
鎮ㄧ従(xi脿n)鍦ㄧ殑浣嶇疆锛� 
