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

IEV ref102-03-24

en
Euclidean distance
distance
for two points A and B in a Euclidean point space, magnitude of the vector r B r A MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiaahkhadaWgaaWcba qcLboacaqGcbaaleqaaOGaeyOeI0IaaCOCamaaBaaaleaajug4aiaa bgeaaSqabaaaaa@404D@ , where r A MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiaahkhadaWgaaWcba qcLboacaqGbbaaleqaaaaa@3C11@ and r B MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiaahkhadaWgaaWcba qcLboacaqGcbaaleqaaaaa@3C12@ are the position vectors of the points A and B, respectively

Note 1 to entry: In the usual geometrical three-dimensional space, the Euclidean distance is a quantity of the dimension length.


fr
distance euclidienne, f
distance, f
pour deux points A et B dans un espace affine euclidien, norme du vecteur r B r A MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiaahkhadaWgaaWcba qcLboacaqGcbaaleqaaOGaeyOeI0IaaCOCamaaBaaaleaajug4aiaa bgeaaSqabaaaaa@404D@ , où r A MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiaahkhadaWgaaWcba qcLboacaqGbbaaleqaaaaa@3C11@ et r B MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqk0di9Wr=fpeei0di9v8qiW7rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaeaaciWacmGadaGadeaabaGaaqaaaOqaaiaahkhadaWgaaWcba qcLboacaqGcbaaleqaaaaa@3C12@ sont respectivement les rayons vecteurs des point A et B

Note 1 à l'article: Dans l'espace géométrique usuel à trois dimensions, la distance euclidienne est une grandeur ayant la dimension d'une longueur.


de
euklidischer Abstand, m
Abstand, m

es
distancia euclídea
distancia

ja
ユークリッド距離
距離

pl
odległość euklidesowa
odległość

pt
distância euclidiana
distância

sr
Еуклидово растојање, с јд
растојање, с јд

sv
avstånd
euklidiskt avstånd

zh
欧几里得距离
距离

Publication date: 2008-08
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