. . "La linealitat \u00E9s una relaci\u00F3 o funci\u00F3 matem\u00E0tica que es pot representar gr\u00E0ficament per una l\u00EDnia recta, o per dues quantitats directament proporcionals entre elles, com ara el voltatge i el corrent el\u00E8ctric en un circuit RLC, o tamb\u00E9 la massa i el pes d'un objecte. La paraula 'lineal' ve de la paraula llatina linearis, que significa \"creat per l\u00EDnies\"."@ca . . "\uC120\uD615\uC131(\u7DDA\u578B\u6027, linearity) \uB610\uB294 \uC120\uD615(\u7DDA\u578B, linear, \uB77C\uD2F4\uC5B4: linearis)\uC740 \uC9C1\uC120\uCC98\uB7FC \uB611\uBC14\uB978 \uB3C4\uD615, \uB610\uB294 \uADF8\uC640 \uBE44\uC2B7\uD55C \uC131\uC9C8\uC744 \uAC16\uB294 \uB300\uC0C1\uC774\uB77C\uB294 \uB73B\uC73C\uB85C, \uC774\uB7EC\uD55C \uC131\uC9C8\uC744 \uAC16\uACE0 \uC788\uB294 \uBCC0\uD658 \uB4F1\uC5D0 \uB300\uD558\uC5EC \uC4F0\uB294 \uC6A9\uC5B4\uC774\uB2E4. \uD568\uC218\uC758 \uACBD\uC6B0, \uC5B4\uB5A0\uD55C \uD568\uC218\uAC00 \uC9C4\uD589\uD558\uB294 \uBAA8\uC591\uC774 '\uC9C1\uC120'\uC774\uB77C\uB294 \uC758\uBBF8\uB85C \uC0AC\uC6A9\uB41C\uB2E4. \uC774\uB7EC\uD55C \uAC1C\uB150\uC740 \uC218\uD559, \uBB3C\uB9AC\uD559 \uB4F1\uC5D0\uC11C \uB9CE\uC774 \uC0AC\uC6A9\uB41C\uB2E4. \uB2E4\uB978 \uB9D0\uB85C 1\uCC28(\u4E00\u6B21)\uB77C\uACE0\uB3C4 \uD55C\uB2E4. (\uB2E8\uC5B4 '1\uCC28' \uC790\uCCB4\uB294, '\uC120\uD615'\uC744 \uC758\uBBF8\uD558\uC9C0 \uC54A\uB294 \uACBD\uC6B0\uB3C4 \uB9CE\uB2E4.)"@ko . . . . "Le concept de lin\u00E9arit\u00E9 est utilis\u00E9 dans le domaine des math\u00E9matiques et dans le domaine de la physique, et par extension dans le langage courant."@fr . "Linealitat"@ca . . . . "Linearity is the property of a mathematical relationship (function) that can be graphically represented as a straight line. Linearity is closely related to proportionality. Examples in physics include rectilinear motion, the linear relationship of voltage and current in an electrical conductor (Ohm's law), and the relationship of mass and weight. By contrast, more complicated relationships are nonlinear. Generalized for functions in more than one dimension, linearity means the property of a function of being compatible with addition and scaling, also known as the superposition principle. The word linear comes from Latin linearis, \"pertaining to or resembling a line\"."@en . . . . "\u0627\u0644\u062F\u0627\u0644\u0629 \u0627\u0644\u062E\u0637\u064A\u0629 \u0641\u064A \u0627\u0644\u0631\u064A\u0627\u0636\u064A\u0627\u062A \u062A\u0633\u062A\u0648\u0641\u064A \u0634\u0631\u0637\u064A\u0646: \n* \u0627\u0644\u062A\u062C\u0627\u0646\u0633 \n* \u0627\u0644\u062C\u0645\u0639\u064A\u0629 \u0631\u0633\u0645 \u0627\u0644\u0628\u064A\u0627\u0646\u064A \u0644\u0644\u062F\u0627\u0644\u0629 \u0644\u0647\u0627 \u0639\u0628\u0627\u0631\u0629 \u0639\u0646 \u062E\u0637 \u0645\u0633\u062A\u0642\u064A\u0645 , \u064A\u0645\u0643\u0646 \u0623\u0646 \u064A\u0643\u0648\u0646 \u0645\u0627\u0626\u0644 \u0623\u0648 \u064A\u0648\u0627\u0632\u064A \u0645\u062D\u0648\u0631 \u0627\u0644\u0633\u064A\u0646\u0627\u062A\u060C \u0639\u0646\u062F\u0645\u0627 \u064A\u0643\u0648\u0646 \u0627\u0644\u0645\u0633\u062A\u0642\u064A\u0645 \u0645\u0648\u0627\u0632\u064A\u0627 \u0644\u0645\u062D\u0648\u0631 \u0627\u0644\u0635\u0627\u062F\u0627\u062A \u060C \u064A\u0643\u0648\u0646 \u0644\u0627 \u064A\u0645\u062B\u0644 \u062F\u0627\u0644\u0629 ."@ar . . . . . . . "In matematica, la linearit\u00E0 \u00E8 una relazione che intercorre fra due o pi\u00F9 enti matematici. Intuitivamente, due quantit\u00E0 sono in relazione lineare se tra loro sussiste una qualche forma di proporzionalit\u00E0 diretta. Ad esempio, la legge correla linearmente e : se raddoppia, anche raddoppia. Il significato esatto del termine \"linearit\u00E0\" dipende tuttavia dal contesto in cui il termine viene adoperato."@it . . . . . . . "Lineair betekent 'rechtlijnig' (Latijn: linearis, 'uit een lijn bestaand'). Een verschijnsel dat zich in zekere zin rechtlijnig ontwikkelt, wordt wel lineair genoemd. Tussen twee grootheden bestaat een lineair verband, als een verandering van de ene grootheid gepaard gaat met een (recht) evenredige verandering van de andere grootheid."@nl . "En matematiko, lineara bildigo f(x) estas funkcio kiu kontentigas du propra\u0135ojn: \n* Adicieco (anka\u016D nomata kiel a\u016D ):f(x+y) = f(x)+f(y).\u0108i tio signifas ke f estas grupa homomorfio kun respekto al adicio. \n* Homogeneco de grado 1:f(\u03B1x) = \u03B1f(x) por \u0109iu \u03B1. La homogeneco sekvas de la adicieca propra\u0135o en \u0109iuj okazoj, kie \u03B1 estas racionala. Se la funkcio estas kontinua, ne necesas meti la kondi\u0109on de homogeneco kiel aldonan bezonon. La vorto lineara venas de la latina vorto linearis, kiu signifas kreita per linioj (rektoj). En \u0109i tiu difino, x estas ne bezone reela nombro, sed povas \u011Denerale esti membro de iu vektora spaco. Malpli limiga difino de lineara polinomo (lineara funkcio), ne koincidanta kun la difino de lineara bildigo, estas uzata en rudimenta matematiko (vidu sube). La koncepto de lineareco povas esti etendita al linearaj operatoroj. Gravaj ekzemploj de linearaj operatoroj estas la deriva\u0135o konsiderita kiel diferenciala operatoro, kaj multaj konstruitaj surbaze de \u011Di, kiel nabla operatoro kaj la laplaca operatoro. Kiam diferenciala ekvacio povas esti esprimita en lineara formo, \u011Di estas aparte facila por solvado. Tiam \u011Dia \u011Denerala solva\u0135o estas sumo kun ajnaj koeficientoj de la bazo de partaj solva\u0135oj. Lineara algebro estas la bran\u0109o de matematiko koncernanta studon de vektoroj, vektoraj spacoj, linearaj transformoj (a\u016D linearaj mapoj), kaj sistemoj de linearaj ekvacioj."@eo . . . . "\uC120\uD615\uC131"@ko . . . . . . . . . . . . "Linearit\u00E4t"@de . "Linealidad"@es . . . . . . . . . . . . . . . . . . . "\u0627\u0644\u062F\u0627\u0644\u0629 \u0627\u0644\u062E\u0637\u064A\u0629 \u0641\u064A \u0627\u0644\u0631\u064A\u0627\u0636\u064A\u0627\u062A \u062A\u0633\u062A\u0648\u0641\u064A \u0634\u0631\u0637\u064A\u0646: \n* \u0627\u0644\u062A\u062C\u0627\u0646\u0633 \n* \u0627\u0644\u062C\u0645\u0639\u064A\u0629 \u0631\u0633\u0645 \u0627\u0644\u0628\u064A\u0627\u0646\u064A \u0644\u0644\u062F\u0627\u0644\u0629 \u0644\u0647\u0627 \u0639\u0628\u0627\u0631\u0629 \u0639\u0646 \u062E\u0637 \u0645\u0633\u062A\u0642\u064A\u0645 , \u064A\u0645\u0643\u0646 \u0623\u0646 \u064A\u0643\u0648\u0646 \u0645\u0627\u0626\u0644 \u0623\u0648 \u064A\u0648\u0627\u0632\u064A \u0645\u062D\u0648\u0631 \u0627\u0644\u0633\u064A\u0646\u0627\u062A\u060C \u0639\u0646\u062F\u0645\u0627 \u064A\u0643\u0648\u0646 \u0627\u0644\u0645\u0633\u062A\u0642\u064A\u0645 \u0645\u0648\u0627\u0632\u064A\u0627 \u0644\u0645\u062D\u0648\u0631 \u0627\u0644\u0635\u0627\u062F\u0627\u062A \u060C \u064A\u0643\u0648\u0646 \u0644\u0627 \u064A\u0645\u062B\u0644 \u062F\u0627\u0644\u0629 ."@ar . "Lin\u00E9arit\u00E9"@fr . . . "\u5728\u73B0\u4EE3\u5B66\u672F\u754C\u4E2D\uFF0C\u7DDA\u6027\u95DC\u4FC2\u4E00\u8A5E\u5B58\u57282\u79CD\u4E0D\u540C\u7684\u542B\u4E49\u3002\u5176\u4E00\uFF0C\u82E5\u67D0\u6578\u5B78\u51FD\u6578\u6216\u6570\u91CF\u5173\u7CFB\u7684\u51FD\u6570\u56FE\u5F62\u5448\u73FE\u70BA\u4E00\u689D\u76F4\u7DDA\u6216\u7DDA\u6BB5\uFF0C\u90A3\u4E48\u8FD9\u79CD\u5173\u7CFB\u5C31\u662F\u4E00\u79CD\u7DDA\u6027\u7684\u95DC\u4FC2\u3002\u5176\u4E8C\uFF0C\u5728\u4EE3\u6570\u5B66\u548C\u6570\u5B66\u5206\u6790\u5B66\u4E2D\uFF0C\u5982\u679C\u4E00\u79CD\u8FD0\u7B97\u540C\u65F6\u6EE1\u8DB3\u7279\u5B9A\u7684\u201C\u52A0\u6027\u201D\u548C\u201C\u9F50\u6027\u201D\uFF0C\u5219\u79F0\u8FD9\u79CD\u8FD0\u7B97\u662F\u7EBF\u6027\u7684\u3002"@zh . . . . . . "Linearidade \u00E9 a propriedade de uma rela\u00E7\u00E3o matem\u00E1tica ( fun\u00E7\u00E3o ) que pode ser representada graficamente como uma linha reta. A linearidade est\u00E1 intimamente relacionada \u00E0 proporcionalidade . Os exemplos em f\u00EDsica incluem a rela\u00E7\u00E3o linear de tens\u00E3o e corrente em um condutor el\u00E9trico ( lei de Ohm ) e a rela\u00E7\u00E3o de massa e peso . Por outro lado, relacionamentos mais complicados s\u00E3o n\u00E3o lineares . Generalizada para fun\u00E7\u00F5es em mais de uma dimens\u00E3o, linearidade \u00E9 a propriedade que uma fun\u00E7\u00E3o tem de ser compat\u00EDvel com adi\u00E7\u00E3o e escalonamento, tamb\u00E9m chamado de princ\u00EDpio de superposi\u00E7\u00E3o ."@pt . "Linearit\u00E4t (lateinisch linea \u201ELinie\u201C, linearis \u201Eaus Linien bestehend\u201C) hat in verschiedenen Bereichen eine unterschiedliche Bedeutung, beschreibt aber zumeist eine geradlinige Beschaffenheit."@de . "\u7DDA\u6027\u95DC\u4FC2"@zh . . . . . . . . . . . "\u7DDA\u578B\u6027"@ja . "La linealitat \u00E9s una relaci\u00F3 o funci\u00F3 matem\u00E0tica que es pot representar gr\u00E0ficament per una l\u00EDnia recta, o per dues quantitats directament proporcionals entre elles, com ara el voltatge i el corrent el\u00E8ctric en un circuit RLC, o tamb\u00E9 la massa i el pes d'un objecte. La paraula 'lineal' ve de la paraula llatina linearis, que significa \"creat per l\u00EDnies\"."@ca . . "In matematica, la linearit\u00E0 \u00E8 una relazione che intercorre fra due o pi\u00F9 enti matematici. Intuitivamente, due quantit\u00E0 sono in relazione lineare se tra loro sussiste una qualche forma di proporzionalit\u00E0 diretta. Ad esempio, la legge correla linearmente e : se raddoppia, anche raddoppia. Il significato esatto del termine \"linearit\u00E0\" dipende tuttavia dal contesto in cui il termine viene adoperato."@it . "Linearit\u00E4t (lateinisch linea \u201ELinie\u201C, linearis \u201Eaus Linien bestehend\u201C) hat in verschiedenen Bereichen eine unterschiedliche Bedeutung, beschreibt aber zumeist eine geradlinige Beschaffenheit."@de . . . . . . . . . . . "\u062E\u0637\u064A\u0629"@ar . . . "\u5728\u73B0\u4EE3\u5B66\u672F\u754C\u4E2D\uFF0C\u7DDA\u6027\u95DC\u4FC2\u4E00\u8A5E\u5B58\u57282\u79CD\u4E0D\u540C\u7684\u542B\u4E49\u3002\u5176\u4E00\uFF0C\u82E5\u67D0\u6578\u5B78\u51FD\u6578\u6216\u6570\u91CF\u5173\u7CFB\u7684\u51FD\u6570\u56FE\u5F62\u5448\u73FE\u70BA\u4E00\u689D\u76F4\u7DDA\u6216\u7DDA\u6BB5\uFF0C\u90A3\u4E48\u8FD9\u79CD\u5173\u7CFB\u5C31\u662F\u4E00\u79CD\u7DDA\u6027\u7684\u95DC\u4FC2\u3002\u5176\u4E8C\uFF0C\u5728\u4EE3\u6570\u5B66\u548C\u6570\u5B66\u5206\u6790\u5B66\u4E2D\uFF0C\u5982\u679C\u4E00\u79CD\u8FD0\u7B97\u540C\u65F6\u6EE1\u8DB3\u7279\u5B9A\u7684\u201C\u52A0\u6027\u201D\u548C\u201C\u9F50\u6027\u201D\uFF0C\u5219\u79F0\u8FD9\u79CD\u8FD0\u7B97\u662F\u7EBF\u6027\u7684\u3002"@zh . . . "En matematiko, lineara bildigo f(x) estas funkcio kiu kontentigas du propra\u0135ojn: \n* Adicieco (anka\u016D nomata kiel a\u016D ):f(x+y) = f(x)+f(y).\u0108i tio signifas ke f estas grupa homomorfio kun respekto al adicio. \n* Homogeneco de grado 1:f(\u03B1x) = \u03B1f(x) por \u0109iu \u03B1. La homogeneco sekvas de la adicieca propra\u0135o en \u0109iuj okazoj, kie \u03B1 estas racionala. Se la funkcio estas kontinua, ne necesas meti la kondi\u0109on de homogeneco kiel aldonan bezonon. La vorto lineara venas de la latina vorto linearis, kiu signifas kreita per linioj (rektoj)."@eo . . . . "\uC120\uD615\uC131(\u7DDA\u578B\u6027, linearity) \uB610\uB294 \uC120\uD615(\u7DDA\u578B, linear, \uB77C\uD2F4\uC5B4: linearis)\uC740 \uC9C1\uC120\uCC98\uB7FC \uB611\uBC14\uB978 \uB3C4\uD615, \uB610\uB294 \uADF8\uC640 \uBE44\uC2B7\uD55C \uC131\uC9C8\uC744 \uAC16\uB294 \uB300\uC0C1\uC774\uB77C\uB294 \uB73B\uC73C\uB85C, \uC774\uB7EC\uD55C \uC131\uC9C8\uC744 \uAC16\uACE0 \uC788\uB294 \uBCC0\uD658 \uB4F1\uC5D0 \uB300\uD558\uC5EC \uC4F0\uB294 \uC6A9\uC5B4\uC774\uB2E4. \uD568\uC218\uC758 \uACBD\uC6B0, \uC5B4\uB5A0\uD55C \uD568\uC218\uAC00 \uC9C4\uD589\uD558\uB294 \uBAA8\uC591\uC774 '\uC9C1\uC120'\uC774\uB77C\uB294 \uC758\uBBF8\uB85C \uC0AC\uC6A9\uB41C\uB2E4. \uC774\uB7EC\uD55C \uAC1C\uB150\uC740 \uC218\uD559, \uBB3C\uB9AC\uD559 \uB4F1\uC5D0\uC11C \uB9CE\uC774 \uC0AC\uC6A9\uB41C\uB2E4. \uB2E4\uB978 \uB9D0\uB85C 1\uCC28(\u4E00\u6B21)\uB77C\uACE0\uB3C4 \uD55C\uB2E4. (\uB2E8\uC5B4 '1\uCC28' \uC790\uCCB4\uB294, '\uC120\uD615'\uC744 \uC758\uBBF8\uD558\uC9C0 \uC54A\uB294 \uACBD\uC6B0\uB3C4 \uB9CE\uB2E4.)"@ko . . . . . "Lineareco"@eo . . . . . "Linearidade"@pt . . . . . "\u7DDA\u578B\u6027\uFF08\u305B\u3093\u3051\u3044\u305B\u3044\u3001\u82F1\u8A9E: linearity\uFF09\u3042\u308B\u3044\u306F\u7DDA\u578B\u3001\u7DDA\u5F62\u3001\u7DDA\u72B6\u3001\u30EA\u30CB\u30A2\uFF08\u305B\u3093\u3051\u3044\u3001\u82F1\u8A9E: linear\u3001\u30E9\u30C6\u30F3\u8A9E: linearis\uFF09\u3068\u306F\u3001\u6570\u5B66\u3084\u5DE5\u5B66\u306E\u7528\u8A9E\u3067\u3042\u308A\u3001\u30B0\u30E9\u30D5\u3068\u3057\u3066\u8868\u3057\u305F\u6642\u306B\u76F4\u7DDA\u3068\u306A\u308B\u3088\u3046\u306A\u6570\u5B66\u7684\u95A2\u4FC2\u306E\u3053\u3068\u3092\u3044\u3046\u3002\u5BFE\u7FA9\u8A9E\u306F\u975E\u7DDA\u578B\u6027\uFF08\u82F1\u8A9E: Non-Linearity\uFF09\u3002"@ja . "Linearit\u00E0 (matematica)"@it . . . "En matem\u00E1ticas, la linealidad se refiere a una propiedad abstracta definida tanto entre funciones como en espacios de cierto tipo, por el cual un objeto asociado a la suma de objetos puede ser expresado en t\u00E9rminos de la suma de objetos asociados."@es . . . . . "En matem\u00E1ticas, la linealidad se refiere a una propiedad abstracta definida tanto entre funciones como en espacios de cierto tipo, por el cual un objeto asociado a la suma de objetos puede ser expresado en t\u00E9rminos de la suma de objetos asociados."@es . . . "Le concept de lin\u00E9arit\u00E9 est utilis\u00E9 dans le domaine des math\u00E9matiques et dans le domaine de la physique, et par extension dans le langage courant."@fr . . . . . . . "91591"^^ . . . . . . . "\u7DDA\u578B\u6027\uFF08\u305B\u3093\u3051\u3044\u305B\u3044\u3001\u82F1\u8A9E: linearity\uFF09\u3042\u308B\u3044\u306F\u7DDA\u578B\u3001\u7DDA\u5F62\u3001\u7DDA\u72B6\u3001\u30EA\u30CB\u30A2\uFF08\u305B\u3093\u3051\u3044\u3001\u82F1\u8A9E: linear\u3001\u30E9\u30C6\u30F3\u8A9E: linearis\uFF09\u3068\u306F\u3001\u6570\u5B66\u3084\u5DE5\u5B66\u306E\u7528\u8A9E\u3067\u3042\u308A\u3001\u30B0\u30E9\u30D5\u3068\u3057\u3066\u8868\u3057\u305F\u6642\u306B\u76F4\u7DDA\u3068\u306A\u308B\u3088\u3046\u306A\u6570\u5B66\u7684\u95A2\u4FC2\u306E\u3053\u3068\u3092\u3044\u3046\u3002\u5BFE\u7FA9\u8A9E\u306F\u975E\u7DDA\u578B\u6027\uFF08\u82F1\u8A9E: Non-Linearity\uFF09\u3002"@ja . "Lineair betekent 'rechtlijnig' (Latijn: linearis, 'uit een lijn bestaand'). Een verschijnsel dat zich in zekere zin rechtlijnig ontwikkelt, wordt wel lineair genoemd. Tussen twee grootheden bestaat een lineair verband, als een verandering van de ene grootheid gepaard gaat met een (recht) evenredige verandering van de andere grootheid."@nl . "13320"^^ . . . . . . "Linearidade \u00E9 a propriedade de uma rela\u00E7\u00E3o matem\u00E1tica ( fun\u00E7\u00E3o ) que pode ser representada graficamente como uma linha reta. A linearidade est\u00E1 intimamente relacionada \u00E0 proporcionalidade . Os exemplos em f\u00EDsica incluem a rela\u00E7\u00E3o linear de tens\u00E3o e corrente em um condutor el\u00E9trico ( lei de Ohm ) e a rela\u00E7\u00E3o de massa e peso . Por outro lado, relacionamentos mais complicados s\u00E3o n\u00E3o lineares . Generalizada para fun\u00E7\u00F5es em mais de uma dimens\u00E3o, linearidade \u00E9 a propriedade que uma fun\u00E7\u00E3o tem de ser compat\u00EDvel com adi\u00E7\u00E3o e escalonamento, tamb\u00E9m chamado de princ\u00EDpio de superposi\u00E7\u00E3o . A palavra linear tem origem no latim linearis, \"pertencente a ou semelhante a uma linha\"."@pt . . . . . . . . . . . . "Linearity"@en . . . "Lineariteit"@nl . "1115116242"^^ . . . "Linearity is the property of a mathematical relationship (function) that can be graphically represented as a straight line. Linearity is closely related to proportionality. Examples in physics include rectilinear motion, the linear relationship of voltage and current in an electrical conductor (Ohm's law), and the relationship of mass and weight. By contrast, more complicated relationships are nonlinear. Generalized for functions in more than one dimension, linearity means the property of a function of being compatible with addition and scaling, also known as the superposition principle."@en . . . . . .