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Area Mathematics - General concepts and linear algebra / Vectors and tensors

IEV ref102-03-10

en
component, <of a vector>
one of a set of linearly independent vectors, the sum of which is equal to a given vector

EXAMPLE

  • for a given vector U= U 1 a 1 + U 2 a 2 +...+ U n a n MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiaahwfacqGH9aqpca WGvbWaaSbaaSqaaGqaaKqzGdGaa8xmaaWcbeaakiaahggadaWgaaWc baqcLboacaWFXaaaleqaaOGaey4kaSIaamyvamaaBaaaleaajug4ai aa=jdaaSqabaGccaWHHbWaaSbaaSqaaKqzGdGaa8NmaaWcbeaakiab gUcaRiaac6cacaGGUaGaaiOlaiabgUcaRiaadwfadaWgaaWcbaqcLb qacaWGUbaaleqaaOGaaCyyamaaBaaaleaajugabiaad6gaaSqabaaa aa@5104@ , where U 1 , U 2 ,..., U n MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiaadwfadaWgaaWcba acbaqcLboacaWFXaaaleqaaOGaaeilaiaaysW7caWGvbWaaSbaaSqa aKqzGdGaa8NmaaWcbeaakiaabYcacaaMe8UaaeOlaiaab6cacaqGUa GaaeilaiaaysW7caWGvbWaaSbaaSqaaKqzaeGaamOBaaWcbeaaaaa@4A47@ are the coordinates of U and a 1 , a 2 ,..., a n MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiaahggadaWgaaWcba acbaqcLboacaWFXaaaleqaaOGaaeilaiaaysW7caWHHbWaaSbaaSqa aKqzGdGaa8NmaaWcbeaakiaabYcacaaMe8UaaeOlaiaab6cacaqGUa GaaeilaiaaysW7caWHHbWaaSbaaSqaaKqzaeGaamOBaaWcbeaaaaa@4A77@ are the base vectors, any of the vectors U 1 a 1 , U 2 a 2 , ..., U n a n MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiaadwfadaWgaaWcba acbaqcLboacaWFXaaaleqaaOGaaCyyamaaBaaaleaajug4aiaa=fda aSqabaGccaqGSaGaaeiiaiaadwfadaWgaaWcbaqcLboacaWFYaaale qaaOGaaCyyamaaBaaaleaajug4aiaa=jdaaSqabaGccaqGSaGaaeii aiaac6cacaGGUaGaaiOlaiaabYcacaqGGaGaamyvamaaBaaaleaaju gabiaad6gaaSqabaGccaWHHbWaaSbaaSqaaKqzaeGaamOBaaWcbeaa aaa@5070@ ,
  • the projections of a vector normal and tangential to a surface (normal component and tangential component).

Note 1 to entry: In English, the term "component vector" may be used if "component" is used in the sense of "coordinate" (see Note 2 to entry in IEV 102-03-09).


fr
composante, <d'un vecteur> f
chacun des éléments d'un ensemble de vecteurs linéairement indépendants dont la somme est égale à un vecteur donné

EXEMPLE

  • pour un vecteur donné U= U 1 a 1 + U 2 a 2 +...+ U n a n MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiaahwfacqGH9aqpca WGvbWaaSbaaSqaaGqaaKqzGdGaa8xmaaWcbeaakiaahggadaWgaaWc baqcLboacaWFXaaaleqaaOGaey4kaSIaamyvamaaBaaaleaajug4ai aa=jdaaSqabaGccaWHHbWaaSbaaSqaaKqzGdGaa8NmaaWcbeaakiab gUcaRiaac6cacaGGUaGaaiOlaiabgUcaRiaadwfadaWgaaWcbaqcLb qacaWGUbaaleqaaOGaaCyyamaaBaaaleaajugabiaad6gaaSqabaaa aa@5104@ , où U 1 , U 2 ,..., U n MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiaadwfadaWgaaWcba acbaqcLboacaWFXaaaleqaaOGaaeilaiaaysW7caWGvbWaaSbaaSqa aKqzGdGaa8NmaaWcbeaakiaabYcacaaMe8UaaeOlaiaab6cacaqGUa GaaeilaiaaysW7caWGvbWaaSbaaSqaaKqzaeGaamOBaaWcbeaaaaa@4A47@ sont les coordonnées de U et a 1 , a 2 ,..., a n MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiaahggadaWgaaWcba acbaqcLboacaWFXaaaleqaaOGaaeilaiaaysW7caWHHbWaaSbaaSqa aKqzGdGaa8NmaaWcbeaakiaabYcacaaMe8UaaeOlaiaab6cacaqGUa GaaeilaiaaysW7caWHHbWaaSbaaSqaaKqzaeGaamOBaaWcbeaaaaa@4A77@ sont les vecteurs de base, chacun des vecteurs U 1 a 1 , U 2 a 2 , ..., U n a n MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiaadwfadaWgaaWcba acbaqcLboacaWFXaaaleqaaOGaaCyyamaaBaaaleaajug4aiaa=fda aSqabaGccaqGSaGaaeiiaiaadwfadaWgaaWcbaqcLboacaWFYaaale qaaOGaaCyyamaaBaaaleaajug4aiaa=jdaaSqabaGccaqGSaGaaeii aiaac6cacaGGUaGaaiOlaiaabYcacaqGGaGaamyvamaaBaaaleaaju gabiaad6gaaSqabaGccaWHHbWaaSbaaSqaaKqzaeGaamOBaaWcbeaa aaa@5070@ ,
  • les projections d'un vecteur normalement et tangentiellement à une surface (composante normale et composante tangentielle).

Note 1 à l'article: En anglais, le terme "component vector" peut être employé si le terme "component" est employé au sens de "coordonnée" (voir la Note 2 à l’article dans IEV 102-03-09).


de
Komponente (eines Vektors), f

es
componente (de un vector)

ja
成分, <ベクトルの>

pl
składowa (wektora)

pt
componente (de um vector)

sr
компонента, <вектора> ж јд

sv
komponent (av en vektor)

zh
分量, <向量的>

Publication date: 2017-07
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