The Cauchy–Schwarz inequality states that for all vectors x and y of an inner product space it is true that
where 
is the inner product. Equivalently, by taking the square root of both sides, and referring to the norms of the vectors, the inequality is written as
Notable special cases
[edit]Rn
In Euclidean space Rn with the standard inner product, the Cauchy–Schwarz inequality is
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楂樹細鍐涙槸涓緢璋﹁櫄鐨勪漢錛岄潰瀵瑰凡緇忓彇寰楃殑鎴愮嘩錛屼粬璇達紝閭ｉ兘鏄湪瀵?st1:personname w:st="on" ProductID="甯堢帇甯歌櫣">甯堢帇甯歌櫣鏁欐巿鐨勬寚瀵間笅鍙栧緱鐨勩備粬鍙堟槸涓涓効鎰忔劅鎭╃殑浜猴紝璋堣瘽涓粬澶氭璇磋搗瀵瑰府鍔╄繃鑷繁鐨勮佸笀浠殑鎰熸縺錛屾鏄繖浜涜佸笀鐨勫府鍔╀笌榧撳姳錛屾墠浼氭湁浠婂ぉ鐨勬垚緇┿傞珮浼氬啗榪樻槸涓笉鍠滄寮犳壃鑰屽笇鏈涢潤涓嬪績鏉ュ仛浜嬬殑浜恒備粬璇達紝浠庝簨瀛︽湳鐮旂┒宸ヤ綔鏄竴浠跺緢鏋嚗鐨勪簨鎯?/span>錛屼篃娌℃湁涓板帤鐨勬姤閰備絾浜哄簲璇ユ妸鐪煎厜鏀捐繙涓浜涳紝涓嶅簲璇ュ彧閲嶇溂鍓嶇殑鍒╃泭錛屾棦鐒墮夋嫨浜嗗鏈爺絀跺氨搴旇涓闂ㄥ績鎬濈殑鎶曞叆榪涘幓錛屽彧鏈夊綋浣犵湡鐨勬姇鍏ヤ簡錛屼綘鎵嶄細鎰熻鍒板叾涓殑涔愯叮銆傞珮浼氬啗琛ㄧず錛屼負浜嗗仛鐮旂┒浠栦笉寰椾笉鏀懼純浠ュ墠鐨勪竴浜涚埍濂姐備絾鏄紝浠栬繕鏃跺父鎵撴墦涔掍箵鐞冦佺埇鐖北錛岃繖涔熸槸涓轟簡鏇村ソ鍦板伐浣溿傜敤浠栫殑璇濊錛屾悶縐戠爺涔熼渶瑕佹湁濂界殑韜綋銆?
榪欏氨鏄珮浼氬啗錛屼竴涓粠鏅氫腑涓撹蛋鍑烘潵鐨勫崥澹?
• Born in Jixian County, Heilongjiang Province, on January 10, 1976
• Doctor of Engineering, Control Science & Engineering, Harbin Institute of Technology, Harbin, P.R.China (April 2005)
• Master of Science, Electrical Engineering, Shenyang University of Technology, Shenyang, P.R.China (March 2001)
• Undergraduate Certificate, Mechanical & Electronic Integration Engineering, Self-Taught Higher Education Examinations Program of China, Xi'an, P.R.China (December 1997)
• Technical Secondary School Diploma, Mechanical Manufacturing, Shaanxi Institute of Technology, Xi'an, P.R.China (July 1995)
• Professor, Harbin Institute of Technology, Harbin, P.R.China (since July 2005)
• Lecturer, Harbin Institute of Technology, Harbin, P.R.China (November 2004-July 2005)
• Research Associate, The University of Hong Kong, Hong Kong (November 2003-August 2004
涓漢綆浠嬶細 鍝堝伐澶ц鏂囪繘鍏ュぇ闄嗗湴鍖鴻綆楁満鍜屽伐紼嬪縐戦鍩熻寮曟鏁版渶澶氱殑20綃囨枃绔?/span> 鏃墮棿錛?/span>2009-5-25 13:49:59 闃呰錛?/span> 873 鏍囩錛?/span> 琚紩嬈℃暟 Gao H IEEE Transactions on Signal Processing錛?/span>Volume 53, Issue 8, August 2005, Pages 3183-3192 絎竴浣滆咃細Gao, H.錛?/span>Space Control and Inertial Technology Research Center,Harbin Institute of Technology錛?/span>
1995騫?鏈?闄曡タ絎竴宸ヤ笟瀛︽牎銆 涓笓姣曚笟
1997騫?2鏈?鍏ㄥ浗楂樼瓑鏁欒偛鑷鑰冭瘯銆鏈虹數涓浣撳寲宸ョ▼涓撲笟銆 鏈姣曚笟
2001騫?鏈?娌堥槼宸ヤ笟澶у銆 鐢墊満涓庣數鍣ㄤ笓涓?鑾峰伐瀛︾澹浣?br>2005騫?鏈?鍝堝皵婊ㄥ伐涓氬ぇ瀛︽帶鍒躲 鐞嗚涓庢帶鍒跺伐紼嬩笓涓氥 鑾峰伐瀛﹀崥澹浣?/span>
2003騫?1鏈?2004騫?鏈?棣欐腐澶у鏈烘宸ョ▼緋匯Research Associate
2004騫?1鏈?2005騫?鏈?鍝堝皵婊ㄥ伐涓氬ぇ瀛︺ 璁插笀
2005騫?鏈堣嚦浠?鍝堝皵婊ㄥ伐涓氬ぇ瀛?鏁欐巿
2006騫?鏈堣嚦浠?鍝堝皵婊ㄥ伐涓氬ぇ瀛?鍗氬＋鐢熷甯?/p>
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璁烘枃棰樼洰錛?/span>New approach to mixed H2/H∞ filtering for polytopic discrete-time systems(Cited 93 time(s))
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銆銆楂樹細鍐涜涓哄浗闄呬氦嫻佽繖鏂歸潰寰堥噸瑕侊紝浠栨繪槸灝藉彲鑳芥妸鑷繁鎺ヨЕ榪囩殑鍥藉鐭ュ悕瀛﹁呰鍒板搱宸ュぇ璁插錛屼互寮鎷撳鐢熶滑鐨勮閲庛傚浜庝紭縐鐨勫鐢燂紝浠栭兘浼氭兂灝藉姙娉曟妸浠栦滑閫佸埌棣欐腐鎴栬呭浗澶栧幓鎺ヨЕ鏂?/span>
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寮犱簹鍕ゆ挵鏂?鍗佸勾鐮斿彂姊︽兂涓嬈℃琚嚜宸辮秴瓚?/a>
鍗佸勾鏉ワ紝寰蔣浜氭床鐮旂┒闄㈠拰宸ョ▼闄㈠彇寰椾簡宸ㄥぇ鐨勬垚灝憋紝浣嗘垜鏈熸湜涓嬩竴涓崄騫翠細鏇存縺鍔ㄤ漢蹇冦傞櫎浜嗗彂琛ㄦ枃绔犮佷笓鍒┿佹妧鏈拰浜у搧錛?span style="COLOR: red">鎴戞湡鏈涙垜浠兘鍋氬嚑浠剁湡姝ｅ彲浠ユ敼鍙樿繖涓笘鐣岀殑浜嬫儏銆傜幇鍦ㄥぇ瀹舵兂璧瘋礉灝斿疄楠屽錛屾病鏈変漢璁板緱瀹冨彂琛ㄥ灝戠瘒鏂囩珷錛屼漢浠寰楃殑鏄畠鍙戞槑鐨勬櫠浣撶銆佹縺鍏夊拰鍏夌氦錛岃繖浜涙妧鏈敼鍙樹簡鏁翠釜涓栫晫錛涙垜浠粖澶╂兂璧鋒柦涔愬疄楠屽錛屼篃鎯充笉璧峰畠鑾峰緱浜嗗灝戜笓鍒╋紝鎯沖埌鐨勬槸鍥懼艦鐣岄潰鍜屼互澶綉錛岃繖浜涙妧鏈浠婂ぉ鎴戜滑鐨勭敓媧誨彉寰楀姝や笉鍚屻?span style="COLOR: #ff0000">鎴戞兂榪欐鏄冮獙涓涓爺鍙戞満鏋勬槸鍚︽垚鍔熴佹槸鍚︽湁鐢熷懡鍔涚殑鐪熸鏍囧噯銆?o:p>
| 閮浄闄㈠＋錛?#8220;瑙ｉ”浜虹敓 |
| 鈥曗曡涓闄㈡暟瀛︿笌緋葷粺縐戝鐮旂┒闄㈤櫌闀塊儹闆烽櫌澹?br> |
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