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

IEV ref102-03-05

en
linearly independent, 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@ cannot be equal to zero unless all scalar coefficients α 1 , α 2 ,..., α n MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiabeg7aHnaaBaaale aaieaajug4aiaa=fdaaSqabaGccaqGSaGaaGjbVlabeg7aHnaaBaaa leaajug4aiaa=jdaaSqabaGccaqGSaGaaGjbVlaab6cacaqGUaGaae OlaiaabYcacaaMe8UaeqySde2aaSbaaSqaaiaad6gaaeqaaaaa@4C1C@ are equal to zero

fr
linéairement indépendant, 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@ ne peut être nulle que si tous les coefficients scalaires α 1 , α 2 ,..., α n MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiabeg7aHnaaBaaale aaieaajug4aiaa=fdaaSqabaGccaqGSaGaaGjbVlabeg7aHnaaBaaa leaajug4aiaa=jdaaSqabaGccaqGSaGaaGjbVlaab6cacaqGUaGaae OlaiaabYcacaaMe8UaeqySde2aaSbaaSqaaiaad6gaaeqaaaaa@4C1C@ sont nuls

de
linear unabhängig, Adjektiv

es
linealmente independiente

ja
一次独立
線形独立

pl
liniowo niezależny

pt
linearmente independente (subjectivo)

sr
линеарно независан, придев

sv
linjärt oberoende

zh
线性无关的

Publication date: 2017-07
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