@prefix dbpprop:	<http://dbpedia.org/property/> .
@prefix dbpedia:	<http://dbpedia.org/resource/> .
<http://dbpedia.org/resource/Edward_O._Thorp>	dbpprop:fields	dbpedia:Operator .
dbpedia:Arithmetic_operator	dbpprop:redirect	dbpedia:Operator .
@prefix owl:	<http://www.w3.org/2002/07/owl#> .
dbpedia:Operator	owl:sameAs	<http://rdf.freebase.com/ns/guid.9202a8c04000641f800000000002c6d4> .
@prefix foaf:	<http://xmlns.com/foaf/0.1/> .
@prefix ns4:	<http://en.wikipedia.org/wiki/> .
dbpedia:Operator	foaf:page	ns4:Operator .
@prefix rdfs:	<http://www.w3.org/2000/01/rdf-schema#> .
dbpedia:Operator	rdfs:label	"\u6F14\u7B97\u5B50"@ja ,
		"\u041E\u043F\u0435\u0440\u0430\u0442\u043E\u0440 (\u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0430)"@ru ,
		"Operator"@sv ,
		"Operador"@pt ,
		"Op\u00E9rateur (math\u00E9matiques)"@fr ,
		"Operaattori (matematiikka)"@fi ,
		"Operador matem\u00E0tic"@ca ,
		"Operador"@es ,
		"Operator (wiskunde)"@nl ,
		"Operator (Mathematik)"@de ,
		"M\u0171veleti jel"@hu ,
		"Oper\u00E1tor"@cs ,
		"\u4F5C\u7528\u7D20"@ja ,
		"Operator"@en ;
	dbpprop:abstract	"Operador, em matem\u00E1tica, pode ter v\u00E1rios significados: Operadores l\u00F3gicos s\u00E3o fun\u00E7\u00F5es com dom\u00EDnio e contradom\u00EDnio l\u00F3gicos (VERDADEIRO ou FALSO). Operador linear \u00E9 uma transforma\u00E7\u00E3o linear quando o dom\u00EDnio e o contradom\u00EDnio s\u00E3o o mesmo. Operador fechado e operador compacto s\u00E3o tipos especiais de operadores em Espa\u00E7os de Banach. Operador normal, operador positivo e operador unit\u00E1rio s\u00E3o tipos especiais de operadores em Espa\u00E7os de Hilbert. Operador adjunto \u00E9 a generaliza\u00E7\u00E3o da matriz transposta em um Espa\u00E7o de Hilbert. Operador de diferen\u00E7a \u00E9 usado no c\u00E1lculo de diferen\u00E7as finitas. Usa-se tamb\u00E9m operador em: Operadores em C e C++. Operador de d'Alembert \u00E9 a generaliza\u00E7\u00E3o do laplaciano na M\u00E9trica de Minkowski. Operador (f\u00EDsica) \u00E9 uma fun\u00E7\u00E3o que atua sobre o espa\u00E7o de estados f\u00EDsicos."@pt ,
		"In mathematics, operator is a term applied to some types of functions. Often, an \"operator\" is a function which acts on functions to produce other functions (the sense in which Oliver Heaviside used the term); or it may be a generalization of such a function, as in linear algebra, where some of the terminology reflects the origin of the subject in operations on the functions which are solutions of differential equations. An operator can perform a function on any number of operands (inputs) though most often there is only one operand. An operator might also be called an operation, but the point of view is different. For instance, one can say \"the operation of addition\" (but not the \"operator of addition\") when focusing on the operands and result. One says \"addition operator\" when focusing on the process of addition, or from the more abstract viewpoint, the function +: S&times;S \u2192 S."@en ,
		"En math\u00E9matiques et en physique th\u00E9orique, un op\u00E9rateur est une application entre deux espaces vectoriels topologiques."@fr ,
		"In de wiskunde is de eerste betekenis van een operator die van bewerking op een of meer operanden, in de logica of in de rekenkunde. In de uitdrukking '2 maal 3' bijvoorbeeld is de operator de vermenigvuldiging, hier uitgedrukt door de tekenreeks 'maal'. De operanden zijn hier de getallen 2 en 3. De vier hoofdbewerkingen van de rekenkunde zijn: optelling, aftrekking, vermenigvuldiging en deling. Meer algemeen is een operator niet meer dan een andere benaming en notatie voor een functie en zijn operanden een andere benaming voor de argumenten van die functie. Zo kan de vermenigvuldingsoperator ook worden geschreven als functie maal(x,y) = xy. De uitdrukking 2 maal 3 wordt in deze notatie maal(2,3). De operatorentheorie is de tak van de functionaalanalyse die lineaire afbeeldingen tussen topologische vectorruimten bestudeert. Als toepassing hiervan worden in de kwantummechanica onder meer plaats- en impulsoperatoren bestudeerd."@nl ,
		"Operator \u00E4r ett begrepp inom matematiken och programmering som beskriver hur olika element skall samverka f\u00F6r att ge ett resultat. Bin\u00E4ra aritmetiska operatorer \u00E4r +, -, *, / som st\u00E5r f\u00F6r att tv\u00E5 element skall adderas, subtraheras, multipliceras repektive divideras. Operatorer som utf\u00F6r logiska operationer enligt boolesk algebra \u00E4r AND/OCH/&amp;, OR/ELLER/v, XOR och NOT/INTE. Operatorer f\u00F6rekommer sedan i olika mer komplexa samband och i vissa fall ocks\u00E5 i samband med att transformera saker som funktioner."@sv ,
		"\u041E\u043F\u0435\u0440\u0430\u0301\u0442\u043E\u0440 (\u043F\u043E\u0437\u0434\u043D\u0435\u043B\u0430\u0442. operator\u00A0\u2014 \u0440\u0430\u0431\u043E\u0442\u043D\u0438\u043A, \u0438\u0441\u043F\u043E\u043B\u043D\u0438\u0442\u0435\u043B\u044C, \u043E\u0442 operor\u00A0\u2014 \u0440\u0430\u0431\u043E\u0442\u0430\u044E, \u0434\u0435\u0439\u0441\u0442\u0432\u0443\u044E)\u00A0\u2014 \u0442\u043E \u0436\u0435, \u0447\u0442\u043E \u043E\u0442\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u0438\u0435. \u0422\u0435\u0440\u043C\u0438\u043D \u043E\u043F\u0435\u0440\u0430\u0442\u043E\u0440 \u0432\u0441\u0442\u0440\u0435\u0447\u0430\u0435\u0442\u0441\u044F \u0432 \u0440\u0430\u0437\u043D\u044B\u0445 \u0440\u0430\u0437\u0434\u0435\u043B\u0430\u0445 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438, \u0435\u0433\u043E \u0442\u043E\u0447\u043D\u043E\u0435 \u0437\u043D\u0430\u0447\u0435\u043D\u0438\u0435 \u0437\u0430\u0432\u0438\u0441\u0438\u0442 \u043E\u0442 \u0440\u0430\u0437\u0434\u0435\u043B\u0430. \u041A\u0430\u043A \u043F\u0440\u0430\u0432\u0438\u043B\u043E, \u043F\u043E\u0434 \u043E\u043F\u0435\u0440\u0430\u0442\u043E\u0440\u0430\u043C\u0438 \u043F\u043E\u043D\u0438\u043C\u0430\u044E\u0442 \u043A\u0430\u043A\u0438\u0435-\u0442\u043E \u043E\u0441\u043E\u0431\u044B\u0435 (\u0434\u043B\u044F \u0434\u0430\u043D\u043D\u043E\u0439 \u043E\u0431\u043B\u0430\u0441\u0442\u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438) \u043E\u0442\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u0438\u044F, \u043D\u0430\u043F\u0440\u0438\u043C\u0435\u0440 \u0432 \u0444\u0443\u043D\u043A\u0446\u0438\u043E\u043D\u0430\u043B\u044C\u043D\u043E\u043C \u0430\u043D\u0430\u043B\u0438\u0437\u0435 \u043F\u043E\u0434 \u043E\u043F\u0435\u0440\u0430\u0442\u043E\u0440\u0430\u043C\u0438 \u043F\u043E\u043D\u0438\u043C\u0430\u044E\u0442 \u043E\u0442\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u0438\u0435 \u0441\u0442\u0430\u0432\u044F\u0449\u0435\u0435 \u0432 \u0441\u043E\u043E\u0442\u0432\u0435\u0442\u0441\u0442\u0432\u0438\u0435 \u0444\u0443\u043D\u043A\u0446\u0438\u0438 \u0434\u0440\u0443\u0433\u0443\u044E \u0444\u0443\u043D\u043A\u0446\u0438\u044E (\u00AB\u043E\u043F\u0435\u0440\u0430\u0442\u043E\u0440 \u043D\u0430 \u043F\u0440\u043E\u0441\u0442\u0440\u0430\u043D\u0441\u0442\u0432\u0435 \u0444\u0443\u043D\u043A\u0446\u0438\u0439\u00BB \u0437\u0432\u0443\u0447\u0438\u0442 \u043B\u0443\u0447\u0448\u0435, \u0447\u0435\u043C \u00AB\u0444\u0443\u043D\u043A\u0446\u0438\u044F \u043E\u0442 \u0444\u0443\u043D\u043A\u0446\u0438\u0438\u00BB). \u041D\u0430\u0438\u0431\u043E\u043B\u0435\u0435 \u0447\u0430\u0441\u0442\u043E \u0432\u0441\u0442\u0440\u0435\u0447\u0430\u044E\u0449\u0438\u0435\u0441\u044F \u043E\u043F\u0435\u0440\u0430\u0442\u043E\u0440\u044B: \u0424\u0443\u043D\u043A\u0446\u0438\u043E\u043D\u0430\u043B\u044C\u043D\u044B\u0439 \u0430\u043D\u0430\u043B\u0438\u0437: \u041E\u043F\u0435\u0440\u0430\u0442\u043E\u0440\u044B \u043D\u0430 \u043F\u0440\u043E\u0441\u0442\u0440\u0430\u043D\u0441\u0442\u0432\u0430\u0445 \u0444\u0443\u043D\u043A\u0446\u0438\u0439 (\u0434\u0438\u0444\u0444\u0435\u0440\u0435\u043D\u0446\u0438\u0440\u043E\u0432\u0430\u043D\u0438\u0435, \u0438\u043D\u0442\u0435\u0433\u0440\u0438\u0440\u043E\u0432\u0430\u043D\u0438\u0435, \u0441\u0432\u0435\u0440\u0442\u043A\u0430 \u0441 \u044F\u0434\u0440\u043E\u043C, \u043F\u0440\u0435\u043E\u0431\u0440\u0430\u0437\u043E\u0432\u0430\u043D\u0438\u0435 \u0424\u0443\u0440\u044C\u0435). \u041B\u0438\u043D\u0435\u0439\u043D\u0430\u044F \u0430\u043B\u0433\u0435\u0431\u0440\u0430: \u041E\u0442\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u0438\u044F (\u0432 \u043E\u0441\u043E\u0431\u0435\u043D\u043D\u043E\u0441\u0442\u0438 \u043B\u0438\u043D\u0435\u0439\u043D\u044B\u0435) \u0432\u0435\u043A\u0442\u043E\u0440\u043D\u044B\u0445 \u043F\u0440\u043E\u0441\u0442\u0440\u0430\u043D\u0441\u0442\u0432 (\u043F\u0440\u043E\u0435\u043A\u0442\u043E\u0440\u044B, \u043F\u043E\u0432\u043E\u0440\u043E\u0442\u044B \u043A\u043E\u043E\u0440\u0434\u0438\u043D\u0430\u0442, \u0433\u043E\u043C\u043E\u0442\u0435\u0442\u0438\u0438, \u0443\u043C\u043D\u043E\u0436\u0435\u043D\u0438\u044F \u0432\u0435\u043A\u0442\u043E\u0440\u0430 \u043D\u0430 \u043C\u0430\u0442\u0440\u0438\u0446\u0443). \u0414\u0438\u0441\u043A\u0440\u0435\u0442\u043D\u0430\u044F \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0430: \u041F\u0440\u0435\u043E\u0431\u0440\u0430\u0437\u043E\u0432\u0430\u043D\u0438\u0435 \u043F\u043E\u0441\u043B\u0435\u0434\u043E\u0432\u0430\u0442\u0435\u043B\u044C\u043D\u043E\u0441\u0442\u0435\u0439 (\u0441\u0432\u0435\u0440\u0442\u043A\u0438 \u0434\u0438\u0441\u043A\u0440\u0435\u0442\u043D\u044B\u0445 \u0441\u0438\u0433\u043D\u0430\u043B\u043E\u0432, \u043C\u0435\u0434\u0438\u0430\u043D\u043D\u044B\u0439 \u0444\u0438\u043B\u044C\u0442\u0440 \u0438\u00A0\u0442. \u00A0\u043F.)."@ru ,
		"Oper\u00E1torem &lt;math&gt;\\hat A&lt;/math&gt; naz\u00FDv\u00E1me v matematice takov\u00E9 zobrazen\u00ED, kter\u00FDm n\u011Bjak\u00E9 funkci f p\u0159i\u0159azujeme funkci g, tzn. &lt;math&gt;\\hat A f = g&lt;/math&gt;, kde &lt;math&gt;f \\in \\mathbf{X}, g \\in \\mathbf{Y}&lt;/math&gt;. P\u016Fsoben\u00EDm oper\u00E1toru &lt;math&gt;\\hat A&lt;/math&gt; na f tedy z\u00EDsk\u00E1me g. \u0158\u00EDk\u00E1me, \u017Ee na X je d\u00E1n oper\u00E1tor &lt;math&gt;\\hat A&lt;/math&gt;, zobrazuj\u00EDc\u00ED prostor X do prostoru Y. Oper\u00E1tor obvykle zna\u010D\u00EDme st\u0159\u00ED\u0161kou, nap\u0159. &lt;math&gt;\\hat H, \\hat p&lt;/math&gt;, apod. Prvek &lt;math&gt;f \\in \\mathbf{X}&lt;/math&gt; naz\u00FDv\u00E1me vzorem (origin\u00E1lem), prvek &lt;math&gt;g \\in \\mathbf{Y}&lt;/math&gt; obrazem. Mno\u017Eina v\u0161ech &lt;math&gt;g \\in \\mathbf{Y}&lt;/math&gt;, kter\u00E9 p\u0159\u00EDslu\u0161\u00ED v\u0161em &lt;math&gt;f \\in \\mathbf{X}&lt;/math&gt;, tzn. mno\u017Eina v\u0161ech obraz\u016F, se naz\u00FDv\u00E1 obor hodnot oper\u00E1toru &lt;math&gt;\\hat A&lt;/math&gt;. Obvykle se zna\u010D\u00ED &lt;math&gt;\\mathrm{Rng}(\\hat A)&lt;/math&gt;. Pokud oper\u00E1tor nen\u00ED definov\u00E1n pro v\u0161echna &lt;math&gt;f \\in \\mathbf{X}&lt;/math&gt;, pak mno\u017Einu t\u011Bch &lt;math&gt;f \\in X&lt;/math&gt; pro kter\u00E9 definov\u00E1n je nazveme defini\u010Dn\u00EDm oborem oper\u00E1toru."@cs ,
		"\u6570\u5B66\u306B\u304A\u3044\u3066\u4F5C\u7528\u7D20\uFF08\u3055\u3088\u3046\u305D\u3001operator\uFF09\u3068\u306F\u3001\u95A2\u6570\u7A7A\u9593\u4E0A\u306E\u5909\u63DB\u3001\u3059\u306A\u308F\u3061\u95A2\u6570\u3092\u5225\u306E\u95A2\u6570\u306B\u3046\u3064\u3059\u5199\u50CF\u306E\u3053\u3068\u3067\u3042\u308B\u3002\u4E3B\u306B\u3001\u95A2\u6570\u89E3\u6790\u5B66\u306B\u304A\u3051\u308B\u30D2\u30EB\u30D9\u30EB\u30C8\u7A7A\u9593\u4E0A\u306E\u7DDA\u578B\u5909\u63DB\u306E\u3053\u3068\u3092\u6307\u3057\u3001\u540C\u3058\u3082\u306E\u3092\u7269\u7406\u5B66\u306E\u5206\u91CE\u3001\u7279\u306B\u91CF\u5B50\u529B\u5B66\u306A\u3069\u3067\u306F\u6F14\u7B97\u5B50\uFF08\u3048\u3093\u3056\u3093\u3057\uFF09\u3068\u547C\u3076\u3002\u307E\u305F\u3001\u6570\uFF08\u5B9A\u6570\u95A2\u6570\uFF09\u306E\u96C6\u5408\u306B\u5024\u3092\u3068\u308B\u4F5C\u7528\u7D20\u306F\u6C4E\u95A2\u6570\uFF08\u306F\u3093\u304B\u3093\u3059\u3046\u3001functional\uFF09\u3068\u547C\u3070\u308C\u308B\u3002 \u307E\u305F\u3001\u7FA4\u3084\u74B0\u304C\u7A7A\u9593\u306B\u4F5C\u7528\u3057\u3066\u3044\u308B\u3068\u304D\u3001\u7FA4\u3084\u74B0\u306E\u5404\u5143\u304C\u5B9A\u3081\u308B\u7A7A\u9593\u4E0A\u306E\u5909\u63DB\u3001\u3042\u308B\u3044\u306F\u305D\u306E\u5909\u63DB\u304C\u5F15\u304D\u8D77\u3053\u3059\u95A2\u6570\u7A7A\u9593\u4E0A\u306E\u5909\u63DB\u306E\u3053\u3068\u3092\u4F5C\u7528\u7D20\u3068\u3044\u3046\u3053\u3068\u304C\u3042\u308B\u3002"@ja ,
		"\u6F14\u7B97\u5B50\uFF08\u3048\u3093\u3056\u3093\u3057\u3001operator, operator name\uFF09\u306F\u3001\u5404\u7A2E\u306E\u6F14\u7B97\u3092\u3042\u3089\u308F\u3059\u8A18\u53F7\u30FB\u7B26\u7252\u306E\u3053\u3068\u3067\u3042\u308B\u3002\u3057\u3070\u3057\u3070\u305D\u308C\u304C\u8868\u3059\u6F14\u7B97\u81EA\u4F53\u3068\uFF08\u610F\u56F3\u7684\u306B\uFF09\u6DF7\u540C\u3057\u3066\u4F7F\u7528\u3055\u308C\u308B\u304C\u3001\u305D\u308C\u306B\u3088\u3063\u3066\u6DF7\u4E71\u304C\u751F\u3058\u308B\u3053\u3068\u306F\u307B\u3068\u3093\u3069\u306A\u3044\u3002\u305F\u3060\u3057\u3001\u30D7\u30ED\u30B0\u30E9\u30DF\u30F3\u30B0\u8A00\u8A9E\u306E\u6587\u6CD5\u4E0A\u3067\u306F\u3001\u6F14\u7B97\u3068\u6F14\u7B97\u5B50\u3068\u3092\u533A\u5225\u3059\u308B\u3002 \u91CF\u5B50\u529B\u5B66\u306A\u3069\u306E\u7269\u7406\u5B66\u306B\u304A\u3051\u308B\u6F14\u7B97\u5B50\u306F\u3001\u6570\u5B66\u7684\u306B\u306F\u95A2\u6570\u89E3\u6790\u5B66\u306A\u3069\u306E\u5206\u91CE\u306B\u304A\u3044\u3066\u6271\u308F\u308C\u3001\u901A\u4F8B\u4F5C\u7528\u7D20\u3068\u547C\u3070\u308C\u308B\u6982\u5FF5\u3067\u3042\u308B\u3002 \u307E\u305F\u3001\u6F14\u7B97\u304C\u4F5C\u7528\u3059\u308B\u5BFE\u8C61\u306E\u3053\u3068\u3092\u30AA\u30DA\u30E9\u30F3\u30C9\uFF08\u88AB\u6F14\u7B97\u5B50\u3001\u5F15\u6570\u3001operand\uFF09\u3068\u3044\u3046\u3002\u305F\u3068\u3048\u3070\u3001n \u3068 3 \u3068\u306E\u548C\u3092\u8868\u3059\u5F0F \"n + 3\" \u306B\u304A\u3044\u3066\u3001\"+\" \u306F\u6F14\u7B97\u5B50\u3067\u3042\u308A\u3001\u305D\u306E\u30AA\u30DA\u30E9\u30F3\u30C9\u306F \"n\" \u3068 \"3\" \u3067\u3042\u308B\u3002 \u6570\u5B66\u7684\u306B\u306F\u3001\u6F14\u7B97\u306F\u5199\u50CF\u306E\u4E00\u7A2E\u3067\u3042\u308B\u306E\u3067\u3001\u5404\u5199\u50CF\u306E\u6027\u8CEA\u306B\u3088\u3063\u3066\u6F14\u7B97\u5B50\u3092\u5E7E\u3064\u304B\u306E\u30AF\u30E9\u30B9\u306B\u5206\u3051\u308B\u3053\u3068\u304C\u3067\u304D\u308B\uFF08\u300C\u6F14\u7B97\u300D\u3068\u3044\u3046\u7528\u8A9E\u306E\u610F\u5473\u306F\u3001\u4E00\u822C\u306B\u306F\u300C\u5165\u529B\u3068\u540C\u7A2E\u306E\u3082\u306E\u3092\u51FA\u529B\u3059\u308B\u300D\u3068\u3044\u3046\u30CB\u30E5\u30A2\u30F3\u30B9\u3092\u3082\u3064\u3053\u3068\u304C\u591A\u3044\u3082\u306E\u306E\u3001\u660E\u78BA\u306A\u57FA\u6E96\u304C\u3042\u308B\u308F\u3051\u3067\u306F\u306A\u304F\u3001\u5199\u50CF\u3068\u3044\u3046\u7528\u8A9E\u3068\u306E\u533A\u5206\u306F\u66D6\u6627\u3067\u3042\u308B\uFF09\u3002"@ja ,
		"Matemaattinen operaattori on funktio, joka muuntaa toista funktiota. Useimmiten operaattori muuttaa toista funktiota synnytt\u00E4\u00E4kseen uusia funktioita. Operaattorilla voi olla miten monta tahansa operoitavaa kohdetta, jolle se suorittaa toimintonsa, mutta useimmiten kohteita on vain yksi."@fi ,
		"A m\u0171veleti jelek a matematikai m\u0171veletek jel\u00F6l\u00E9s\u00E9re haszn\u00E1lt szimb\u00F3lumok."@hu ,
		"Ein Operator ist eine mathematische Vorschrift, durch die man aus mathematischen Objekten neue Objekte bilden kann. Er kann eine standardisierte Funktion, oder eine Vorschrift \u00FCber Funktionen sein. Anwendung finden die Operatoren bei Rechenoperationen, also bei manuellen oder bei maschinellen Berechnungen."@de ,
		"Un operador matem\u00E0tic \u00E9s un operador usat en matem\u00E0tiques. \u00C9s una funci\u00F3 que realitza algun tipus d'operaci\u00F3 en un numero, variable o funci\u00F3 (l'operand). L'operador s'escriu a l'esquerra de l'operand."@ca ;
	rdfs:comment	"Un operador matem\u00E0tic \u00E9s un operador usat en matem\u00E0tiques. \u00C9s una funci\u00F3 que realitza algun tipus d'operaci\u00F3 en un numero, variable o funci\u00F3 (l'operand). L'operador s'escriu a l'esquerra de l'operand."@ca ,
		"In de wiskunde is de eerste betekenis van een operator die van bewerking op een of meer operanden, in de logica of in de rekenkunde. In de uitdrukking '2 maal 3' bijvoorbeeld is de operator de vermenigvuldiging, hier uitgedrukt door de tekenreeks 'maal'. De operanden zijn hier de getallen 2 en 3. De vier hoofdbewerkingen van de rekenkunde zijn: optelling, aftrekking, vermenigvuldiging en deling."@nl ,
		"Ein Operator ist eine mathematische Vorschrift, durch die man aus mathematischen Objekten neue Objekte bilden kann. Er kann eine standardisierte Funktion, oder eine Vorschrift \u00FCber Funktionen sein. Anwendung finden die Operatoren bei Rechenoperationen, also bei manuellen oder bei maschinellen Berechnungen."@de ,
		"\u041E\u043F\u0435\u0440\u0430\u0301\u0442\u043E\u0440 (\u043F\u043E\u0437\u0434\u043D\u0435\u043B\u0430\u0442. operator\u00A0\u2014 \u0440\u0430\u0431\u043E\u0442\u043D\u0438\u043A, \u0438\u0441\u043F\u043E\u043B\u043D\u0438\u0442\u0435\u043B\u044C, \u043E\u0442 operor\u00A0\u2014 \u0440\u0430\u0431\u043E\u0442\u0430\u044E, \u0434\u0435\u0439\u0441\u0442\u0432\u0443\u044E)\u00A0\u2014 \u0442\u043E \u0436\u0435, \u0447\u0442\u043E \u043E\u0442\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u0438\u0435. \u0422\u0435\u0440\u043C\u0438\u043D \u043E\u043F\u0435\u0440\u0430\u0442\u043E\u0440 \u0432\u0441\u0442\u0440\u0435\u0447\u0430\u0435\u0442\u0441\u044F \u0432 \u0440\u0430\u0437\u043D\u044B\u0445 \u0440\u0430\u0437\u0434\u0435\u043B\u0430\u0445 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438, \u0435\u0433\u043E \u0442\u043E\u0447\u043D\u043E\u0435 \u0437\u043D\u0430\u0447\u0435\u043D\u0438\u0435 \u0437\u0430\u0432\u0438\u0441\u0438\u0442 \u043E\u0442 \u0440\u0430\u0437\u0434\u0435\u043B\u0430."@ru ,
		"A m\u0171veleti jelek a matematikai m\u0171veletek jel\u00F6l\u00E9s\u00E9re haszn\u00E1lt szimb\u00F3lumok."@hu ,
		"Matemaattinen operaattori on funktio, joka muuntaa toista funktiota. Useimmiten operaattori muuttaa toista funktiota synnytt\u00E4\u00E4kseen uusia funktioita. Operaattorilla voi olla miten monta tahansa operoitavaa kohdetta, jolle se suorittaa toimintonsa, mutta useimmiten kohteita on vain yksi."@fi ,
		""@ja ,
		"Oper\u00E1torem &lt;math&gt;\\hat A&lt;/math&gt; naz\u00FDv\u00E1me v matematice takov\u00E9 zobrazen\u00ED, kter\u00FDm n\u011Bjak\u00E9 funkci f p\u0159i\u0159azujeme funkci g, tzn. &lt;math&gt;\\hat A f = g&lt;/math&gt;, kde &lt;math&gt;f \\in \\mathbf{X}, g \\in \\mathbf{Y}&lt;/math&gt;. P\u016Fsoben\u00EDm oper\u00E1toru &lt;math&gt;\\hat A&lt;/math&gt; na f tedy z\u00EDsk\u00E1me g. \u0158\u00EDk\u00E1me, \u017Ee na X je d\u00E1n oper\u00E1tor &lt;math&gt;\\hat A&lt;/math&gt;, zobrazuj\u00EDc\u00ED prostor X do prostoru Y. Oper\u00E1tor obvykle zna\u010D\u00EDme st\u0159\u00ED\u0161kou, nap\u0159."@cs ,
		"En math\u00E9matiques et en physique th\u00E9orique, un op\u00E9rateur est une application entre deux espaces vectoriels topologiques."@fr ,
		"Operator \u00E4r ett begrepp inom matematiken och programmering som beskriver hur olika element skall samverka f\u00F6r att ge ett resultat. Bin\u00E4ra aritmetiska operatorer \u00E4r +, -, *, / som st\u00E5r f\u00F6r att tv\u00E5 element skall adderas, subtraheras, multipliceras repektive divideras. Operatorer som utf\u00F6r logiska operationer enligt boolesk algebra \u00E4r AND/OCH/&amp;, OR/ELLER/v, XOR och NOT/INTE."@sv ,
		"In mathematics, operator is a term applied to some types of functions. Often, an \"operator\" is a function which acts on functions to produce other functions (the sense in which Oliver Heaviside used the term); or it may be a generalization of such a function, as in linear algebra, where some of the terminology reflects the origin of the subject in operations on the functions which are solutions of differential equations."@en ,
		"Operador, em matem\u00E1tica, pode ter v\u00E1rios significados: Operadores l\u00F3gicos s\u00E3o fun\u00E7\u00F5es com dom\u00EDnio e contradom\u00EDnio l\u00F3gicos (VERDADEIRO ou FALSO). Operador linear \u00E9 uma transforma\u00E7\u00E3o linear quando o dom\u00EDnio e o contradom\u00EDnio s\u00E3o o mesmo. Operador fechado e operador compacto s\u00E3o tipos especiais de operadores em Espa\u00E7os de Banach. Operador normal, operador positivo e operador unit\u00E1rio s\u00E3o tipos especiais de operadores em Espa\u00E7os de Hilbert."@pt .
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		ns7:Fundamental_physics_concepts .
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		dbpedia:Mathematics .
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dbpedia:Arithmetic_operators	dbpprop:redirect	dbpedia:Operator .
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