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

IEV ref102-03-06

en
linearly dependent, adj
qualifies n vectors U 1 , U 2 ,..., U n MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiaahwfadaWgaaWcba acbaqcLboacaWFXaaaleqaaOGaaeilaiaaysW7caWHvbWaaSbaaSqa aKqzGdGaa8NmaaWcbeaakiaabYcacaaMe8UaaeOlaiaab6cacaqGUa GaaeilaiaaysW7caWHvbWaaSbaaSqaaiaad6gaaeqaaaaa@49D9@ where a linear combination such as α 1 U 1 + α 2 U 2 +...+ α n U n MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiabeg7aHnaaBaaale aaieaajug4aiaa=fdaaSqabaGccaWHvbWaaSbaaSqaaKqzGdGaa8xm aaWcbeaakiabgUcaRiabeg7aHnaaBaaaleaajug4aiaa=jdaaSqaba GccaWHvbWaaSbaaSqaaKqzGdGaa8NmaaWcbeaakiabgUcaRiaac6ca caGGUaGaaiOlaiabgUcaRiabeg7aHnaaBaaaleaacaWGUbaabeaaki aahwfadaWgaaWcbaGaamOBaaqabaaaaa@5057@ can be equal to zero even if not all scalar coefficients α 1 , α 2 ,, α n MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiabeg7aHnaaBaaale aajug4aiaabgdaaSqabaGccaqGSaGaaGjbVlabeg7aHnaaBaaaleaa jug4aiaabkdaaSqabaGccaqGSaGaaGjbVlabl+UimjaabYcacaaMe8 UaeqySde2aaSbaaSqaaiaad6gaaeqaaaaa@4874@ are equal to zero

fr
linéairement dépendant, adj
qualifie n vecteurs U 1 , U 2 ,..., U n MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiaahwfadaWgaaWcba acbaqcLboacaWFXaaaleqaaOGaaeilaiaaysW7caWHvbWaaSbaaSqa aKqzGdGaa8NmaaWcbeaakiaabYcacaaMe8UaaeOlaiaab6cacaqGUa GaaeilaiaaysW7caWHvbWaaSbaaSqaaiaad6gaaeqaaaaa@49D9@ lorsqu'une combinaison linéaire de la forme α 1 U 1 + α 2 U 2 +...+ α n U n MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiabeg7aHnaaBaaale aaieaajug4aiaa=fdaaSqabaGccaWHvbWaaSbaaSqaaKqzGdGaa8xm aaWcbeaakiabgUcaRiabeg7aHnaaBaaaleaajug4aiaa=jdaaSqaba GccaWHvbWaaSbaaSqaaKqzGdGaa8NmaaWcbeaakiabgUcaRiaac6ca caGGUaGaaiOlaiabgUcaRiabeg7aHnaaBaaaleaacaWGUbaabeaaki aahwfadaWgaaWcbaGaamOBaaqabaaaaa@5057@ peut être nulle même si tous les coefficients scalaires α 1 , α 2 ,, α n MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiabeg7aHnaaBaaale aajug4aiaabgdaaSqabaGccaqGSaGaaGjbVlabeg7aHnaaBaaaleaa jug4aiaabkdaaSqabaGccaqGSaGaaGjbVlabl+UimjaabYcacaaMe8 UaeqySde2aaSbaaSqaaiaad6gaaeqaaaaa@4874@ ne sont pas nuls

de
linear abhängig, Adjektiv

es
linealmente dependiente

ja
一次従属
線形従属

pl
liniowo zależny

pt
linearmente dependente (subjectivo)

sr
линеарно зависан, придев

sv
linjärt beroende

zh
线性相关的

Publication date: 2017-07
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