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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
娴峰崡甯寖澶у(xu茅) 2017 骞寸ⅸ澹爺绌剁敓鍏ュ(xu茅)鑰冭│鍒濊│绉戠洰
鑰� 瑭� 澶� 缍�
绉戠洰鍚嶇ū: 瀵﹁畩鍑芥暩(sh霉)
閬╃敤灏堟キ(y猫): 鏁�(sh霉)瀛�(xu茅)鍚勫皥妤�(y猫)
涓€銆佽€冭│褰㈠紡鑸囪│鍗风祼(ji茅)妲�(g貌u)
锛堜竴锛夎│鍗锋豢鍒嗗強鑰冭│鏅傞枔
鏈│鍗锋豢鍒嗙偤 100 鍒�锛岃€冭│鏅傞枔鐐� 120 鍒嗛悩銆�
锛堜簩锛夌瓟椤屾柟寮�
绛旈鏂瑰紡鐐洪枆鍗�銆佺瓎瑭︺€�
瑭﹀嵎鐢辫│椤屽拰绛旈绱欑祫鎴�锛涚瓟妗堝繀闋堝鍦ㄧ瓟椤岀礄锛堢敱鑰冮粸鎻愪緵锛夌浉鎳�(y墨ng)鐨勪綅缃笂銆�
浜屻€佽€冩煡鐩(bi膩o)锛堝京(f霉)缈�(x铆)瑕佹眰锛�
鍏ㄦ棩鍒舵敾璁€纰╁＋瀛�(xu茅)浣嶇爺绌剁敓鍏ュ(xu茅)鑰冭│瀵﹁畩鍑芥暩(sh霉)绉戠洰鑰冭│鍏�(n猫i)瀹瑰寘鎷璁婂嚱鏁�(sh霉)涓€闁€瀛�(xu茅)绉戝熀
绀�(ch菙)瑾茬▼锛岃姹傝€冪敓绯荤当(t菕ng)鎺屾彙鐩搁棞(gu膩n)瀛�(xu茅)绉戠殑鍩烘湰鐭ヨ瓨銆佸熀绀�(ch菙)鐞嗚珫鍜屽熀鏈柟娉�锛屽苟鑳介亱鐢ㄧ浉闂�(gu膩n)鐞嗚珫
鍜屾柟娉曞垎鏋�銆佽В姹虹浉闂�(gu膩n)鐨勫闅涘晱椤�銆�
涓�銆佽€冭│鍏�(n猫i)瀹规瑕�
绗竴绔� 闆嗗悎
1. 鑰冭│鍏�(n猫i)瀹�
搂1 闆嗗悎姒傚康锛氶泦鍚堢殑鎻忚堪鑸囪〃绀猴紝瀛愰泦锛岄泦鍚堢殑鐩哥瓑銆�
搂2 闆嗗悎鐨勯亱绠楋細闆嗗悎鐨勫苟銆佷氦銆佸樊銆佽閬嬬畻鍙婂叾鎬ц唱(zh矛)锛岀瑳路鎽╂牴鍏紡锛氫笂闄愰泦銆佷笅闄�
闆嗗強鍏舵€ц唱(zh矛)銆�
搂3 灏嶇瓑鑸囧熀鏁�(sh霉)锛氭槧灏�銆佸柈灏�銆佹豢灏勩€侀洐灏�锛岄€嗘槧灏勫強鍏舵€ц唱(zh矛)锛涘皪绛夊強鍏舵€ц唱(zh矛)锛涘熀鏁�(sh霉)鑸�
鍩烘暩(sh霉)鐨勬瘮杓�锛屼集鎭╂柉鍧﹀畾鐞嗐€�
搂4 鍙暩(sh霉)闆嗗悎锛氬彲鏁�(sh霉)闆嗙殑瀹氱京鍙婄瓑鍍规浠�锛屽彲鍒楅泦鍙婂叾鎬ц唱(zh矛)锛屽彲鍒楅泦鐨勫垽鏂疯瓑鏄�銆�
搂5 涓嶅彲鏁�(sh霉)闆嗗悎: 涓嶅彲鏁�(sh霉)闆嗙殑瀛樺湪鎬�, 閫ｇ簩(x霉)鍩烘暩(sh霉)鍙婂叾鎬ц唱(zh矛)锛岄€ｇ簩(x霉)鍩烘暩(sh霉)鐨勫垽鏂疯瓑鏄�锛屽熀鏁�(sh霉)
鐒℃渶澶ц€�銆�
2. 鑰冭│瑕佹眰顎�
鈶� 鐞嗚В闆嗗悎鐨勫苟銆佷氦銆佸樊銆佽銆佷笂闄愰泦浜庝笅闄愰泦绛夋蹇�锛岀啛绶存帉鎻￠泦鍚堢殑鍚勭ó閬嬬畻锛�
鎺屾彙璀夋槑闆嗗悎闁撳寘鍚垏鐩哥瓑闂�(gu膩n)绯荤殑涓€鑸柟娉�銆�
鈶� 浜嗚В鍩烘暩(sh霉)鐨勬蹇碉紝鎺屾彙璀夋槑鍏╁€嬮泦鍚堝皪绛夌殑鏂规硶锛屾渻鐢ㄤ集鎭╂柉鍧﹀畾鐞�锛岀悊瑙ｆ湁闄愰泦
鑸囩劇闄愰泦鐨勭壒寰併€�
鈶� 鐞嗚В鍙暩(sh霉)闆嗚垏鍏锋湁閫ｇ簩(x霉)鍩烘暩(sh霉)鐨勯泦鐨勬蹇靛強鍏舵€ц唱(zh矛)锛屾帉鎻″彲鏁�(sh霉)闆�, 閫ｇ簩(x霉)鍩烘暩(sh霉)鐨勫垽鏂疯瓑
鏄庢柟娉�銆�
3. 閲嶉粸銆侀洠榛�
閲嶉粸 闆嗗悎鐨勯亱绠楀強鍏堕亱鎬ц唱(zh矛)锛岄泦鍚堢殑灏嶇瓑锛屽熀鏁�(sh霉)鐨勬瘮杓冿紝鍙暩(sh霉)闆嗚垏鍏锋湁閫ｇ簩(x霉)鍩烘暩(sh霉)鐨勯泦
鍚堢殑鎬ц唱(zh矛)銆�
闆ｉ粸涓婇檺闆�銆佷笅闄愰泦銆佸彲鏁�(sh霉)闆�, 閫ｇ簩(x霉)鍩烘暩(sh霉)鐨勫垽鏂疯瓑鏄�銆�
绗簩绔� 榛為泦
1. 鑰冭│鍏�(n猫i)瀹诡€�
搂1 搴﹂噺绌洪枔锛宯 缍瓙姘忕┖闁擄細搴﹂噺绌洪枔姒傚康銆侀劙鍩熷強鍏舵€ц唱(zh矛)銆佹敹鏂傞粸鍒�銆侀粸闆嗙殑璺濋洟
鑸囩洿寰�銆佸崁(q奴)闁撴蹇�銆�
搂2 鑱氶粸锛屽収(n猫i)榛�锛岀晫榛烇細鍏�(n猫i)闆伙紝澶栭粸锛岄倞鐣岄粸锛岃仛榛炲強瀛ょ珛榛烇紝鑱氶粸鍙婂叾绛夊児姊濅欢锛岄倞
鐣�锛屽収(n猫i)鏍�銆佸皫(d菐o)闆嗚垏闁夊寘姒傚康鍙婂叾绨″柈鎬ц唱(zh矛)銆侭olzano-Weierstrass 瀹氱悊锛�
搂3 闁嬮泦銆侀枆闆嗐€佸畬鍌欓泦锛氶枊闆嗚垏闁夐泦鐨勫強鍏堕亱绠楁€ц唱(zh矛)锛屾捣娑�-娉㈤浄鐖炬湁闄愯钃嬪畾鐞�锛�
绶婇泦銆佽嚜瀵嗛泦鑸囧畬鍌欓泦銆�
搂4. 鐩寸窔涓婄殑闁嬮泦銆侀枆闆嗗拰瀹屽倷闆嗙殑妲�(g貌u)閫狅細鐩寸窔涓婇枊闆�銆侀枆闆嗐€佸畬鍌欓泦鐨勬(g貌u)閫�銆�
骞抽潰涓婇枊闆嗙殑妲�(g貌u)閫狅紝搴锋墭锛圕antor锛夐泦鐨勬(g貌u)閫犺垏鎬ц唱(zh矛)銆�
2. 鑰冭│瑕佹眰
鈶� 鐞嗚В閯板煙銆佸収(n猫i)榛炪€佽仛榛炪€侀枊闆�銆侀枆闆嗙瓑鍩烘湰姒傚康鍙婅仛榛炵殑绛夊児姊濅欢锛�
鈶� 鐔熺反鎺屾彙闁嬮泦銆侀枆闆嗙殑鎬ц唱(zh矛)锛屾帉鎻￠枊闆�銆侀枆闆嗙殑鍒ゆ柗璀夋槑鏂规硶銆備簡瑙ｇ洿绶氫笂闁嬮泦鐨�
妲�(g貌u)閫�锛岀煡閬撶洿绶氫笂闁夐泦鍜屽畬鍌欓泦鐨勬(g貌u)閫�銆�
鈶� 浜嗚В Bolzano-Weierstarss 瀹氱悊锛孊orel 鏈夐檺瑕嗚搵瀹氱悊銆�
鈶� 浜嗚В Cantor 闆嗙殑妲�(g貌u)閫犲強鍏舵€ц唱(zh矛)銆�
3. 閲嶉粸銆侀洠榛�
閲嶉粸 鑱氶粸鍙婂叾绛夊児姊濅欢锛孊olzano-Weierstrass 瀹氱悊锛岀洿绶氫笂闁嬮泦鐨勬(g貌u)閫�锛孊orel 鏈夐檺
瑕嗚搵瀹氱悊锛孋antor 闆�銆�
闆ｉ粸 鑱氶粸銆佸収(n猫i)榛�銆侀枊闆�銆侀枆闆嗐€佸畬鍌欓泦绛夋蹇�锛孋antor 闆嗙殑妲�(g貌u)閫犲強鍏舵€ц唱(zh矛)銆傤€�
绗笁绔�銆佹脯搴﹁珫
1. 鑰冭│鍏�(n猫i)瀹�
搂1 澶栨脯搴︼細澶栨脯搴﹀強鍏舵€ц唱(zh矛)锛�
搂2 鍙脯闆嗭細鍙脯闆嗙殑瀹氱京锛屽崱鎷夌殕灞嬬崹鍒╂浠�锛屽彲娓泦鐨勯亱绠楁€ц唱(zh矛)锛屽柈瑾�(di脿o)鍙脯闆嗗垪妤�
闄愮殑娓害銆�
搂3 鍙脯闆嗛锛氬崁(q奴)闁�銆侀枊闆嗐€侀枆闆嗙殕鍙脯銆丟6 鍨嬮泦锛孎(xi脿n)?鍨嬮泦锛屽彲娓泦鍚岄枊闆嗐€侀枆闆�銆丟6
鍨嬮泦銆丗?鍨嬮泦涔嬮枔鐨勯棞(gu膩n)绯�銆�
2. 鑰冭│瑕佹眰
鈶� 浜嗚В鍕掕矟鏍煎娓害鐨勫畾缇╁強涓昏鎬ц唱(zh矛)銆�
鈶� 鐞嗚В鍕掕矟鏍煎彲娓泦鐨勫畾缇╁苟鎺屾彙鍏堕亱绠�銆�
鈶� 鐞嗚В鍕掕矟鏍兼脯搴︾殑鍙垪鍙姞鎬т互鍙婂柈瑾�(di脿o)鍙脯闆嗗垪妤甸檺鐨勬脯搴�銆�
鈶� 浜嗚В甯歌鐨勫彲娓泦鍚�,鐭ラ亾鍕掕矟鏍煎彲娓泦鑸囬枊闆�銆侀枆闆嗐€丟6 鍨嬮泦鑸� F?鍨嬮泦涔嬮枔鐨勯棞(gu膩n)
绯�銆�
3. 閲嶉粸銆侀洠榛�
閲嶉粸 鍕掕矟鏍煎彲娓泦鐨勯亱绠楁€ц唱(zh矛)锛屽柈瑾�(di脿o)鍙脯闆嗗垪妤甸檺鐨勬脯搴︼紝鍙脯闆嗗悓闁嬮泦銆侀枆闆嗐€丟6 鍨�
闆嗕互鍙� F?鍨嬮泦涔嬮枔鐨勯棞(gu膩n)绯�銆�
闆ｉ粸 鍙脯闆嗘蹇电殑寮曞叆鑸囧彲娓泦鐨勬(g貌u)閫�銆�
绗洓绔犮€佸彲娓嚱鏁�(sh霉)
1. 鑰冭│鍏�(n猫i)瀹�
搂1 鍙脯鍑芥暩(sh霉)鍙婂叾鎬ц唱(zh矛)锛氶粸闆嗕笂鐨勫嚱鏁�(sh霉)锛氬唬缇╁鏁�(sh霉)绯� R=R鈭�(卤鈭�)鐨勯亱绠�銆傚彲娓嚱鏁�(sh霉)鐨�
瀹氱京鍙婄瓑鍍规浠�锛岄€ｇ簩(x霉)鍑芥暩(sh霉)鑸囩啊鍠嚱鏁�(sh霉)鐨嗗彲娓紝鍙脯鍑芥暩(sh霉)闂�(gu膩n)浜庝唬鏁�(sh霉)閬嬬畻鍜屾サ闄愰亱绠楃殑灏侀枆鎬�锛�
鍙脯鍑芥暩(sh霉)鍚岀啊鍠嚱鏁�(sh霉)鍒楃殑闂�(gu膩n)绯伙紝鈥滃咕涔庤檿铏曗€濈殑姒傚康銆�
搂2 钁夋灉娲涘か瀹氱悊锛氬彲娓嚱鏁�(sh霉)鍒楃殑鏀舵杺鎬�, 钁夋灉娲涘か瀹氱悊銆�
搂3 鍙脯鍑芥暩(sh霉)鐨勬(g貌u)閫狅細榄噾瀹氱悊锛堝叐绋舰寮忥級
搂4 渚濇脯搴︽敹鏂傦細渚濇脯搴︽敹鏂�锛屼緷娓害鏀舵杺鑸囧咕涔庤檿铏曟敹鏂備簰涓嶅寘鍚殑渚嬪瓙锛屽嫆璨濇牸瀹�
鐞�锛岄粠鏂畾鐞�锛屼緷娓害鏀舵杺妤甸檺鐨勫敮涓€鎬�銆�
2. 鑰冭│瑕佹眰顎�
鈶� 浜嗚В榛為泦涓婄殑閫ｇ簩(x霉)鍑芥暩(sh霉)銆佸嚱鏁�(sh霉)鍒楃殑涓婃サ闄愯垏涓嬫サ闄�銆佲€滃咕涔庤檿铏曗€濈瓑姒傚康銆�
鈶� 鐞嗚В鍙脯鍑芥暩(sh霉)鐨勫畾缇╁強鍏跺湪浠ｆ暩(sh霉)閬嬬畻鑸囨サ闄愰亱绠椾笅鐨勫皝闁夋€�锛屽彲娓嚱鏁�(sh霉)鍙〃鐐虹啊鍠�
鍑芥暩(sh霉)鍒楃殑妤甸檺銆�
鈶� 浜嗚В榄噾瀹氱悊锛岀煡閬撳彲娓嚱鏁�(sh霉)鍚岄€ｇ簩(x霉)鍑芥暩(sh霉)涔嬮枔鐨勯棞(gu膩n)绯汇€�
鈶� 鐞嗚В鍙脯鍑芥暩(sh霉)鍒楃殑涓€鑷存敹鏂�銆佸咕涔庤檿铏曟敹鏂傚強渚濇脯搴︽敹鏂傜殑姒傚康鍙婂畠鍊戜箣闁撶殑鐩镐簰
闂�(gu膩n)绯�銆�
3. 閲嶉粸銆侀洠榛�
閲嶉粸 鍙脯鍑芥暩(sh霉)瀹氱京鍙婄瓑鍍规浠�锛屽彲娓嚱鏁�(sh霉)闂�(gu膩n)浜庝唬鏁�(sh霉)閬嬬畻鍜屾サ闄愰亱绠楃殑灏侀枆鎬э紝渚濇脯搴�
鏀舵杺鑸囧咕涔庤檿铏曟敹鏂傜殑闂�(gu膩n)绯�锛岄閲戝畾鐞�銆�
闆ｉ粸 钁夋灉娲涘か瀹氱悊锛岄粠鏂畾鐞�锛岄閲戝畾鐞嗐€�
绗簲绔�銆佸嫆璨濇牸绌嶅垎
1. 鑰冭│鍏�(n猫i)瀹�
搂5.1 榛庢浖绌嶅垎锛氶粠鏇肩⿳鍒嗗畾缇╋紝閬�(d谩)甯冨畾鐞�锛�
搂5.2 鍕掕矟鏍肩⿳鍒嗙殑瀹氱京锛氭脯搴︽湁闄愰泦鍚堜笂鏈夌晫鍑芥暩(sh霉)鐨勫嫆璨濇牸澶у拰鑸囧皬鍜岋紝涓婄⿳鍒嗚垏涓�
绌嶅垎锛屾湁鐣屽嫆璨濇牸鍙⿳鍑芥暩(sh霉)锛屾湁鐣屽彲绌嶇殑鍏呰姊濅欢鏄湁鐣屽彲娓�锛屾湁鐣屽嫆璨濇牸鍙⿳鍑芥暩(sh霉)鐨勯亱绠�
鎬ц唱(zh矛)锛屽嫆璨濇牸绌嶅垎鑸囬粠鏇肩⿳鍒嗙殑闂�(gu膩n)绯汇€�
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绶氭€ф€ц唱(zh矛)銆傜⿳鍒嗙殑鍠(di脿o)鎬ц垏绲曞皪鍙⿳鎬э紝
搂5.4 涓€鑸彲绌嶅嚱鏁�(sh霉)锛氶潪璨�(f霉)鍑芥暩(sh霉)绌嶅垎瀛樺湪鑸囧彲绌嶇殑瀹氱京锛屼竴鑸嚱鏁�(sh霉)绌嶅垎瀛樺湪鑸囧彲绌嶅畾缇╋紝
鍕掕矟鏍肩⿳鍒嗙殑鎬ц唱(zh矛)銆�
搂5.5 绌嶅垎鐨勬サ闄愬畾鐞嗭細鍕掕矟鏍兼帶鍒舵敹鏂傚畾鐞�锛屽垪缍几鍗囧嚱鏁�(sh霉)鍒楃⿳鍒嗗畾鐞�锛屽嫆璨濇牸閫愰爡
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鎮ㄧ従(xi脿n)鍦ㄧ殑浣嶇疆锛� 
