Metric tensor
In the mathematical field of differential geometry, one definition of a metric tensor is a type of function which takes as input a pair of tangent vectors v and w at a point of a surface (or higher dimensional differentiable manifold) and produces a real number scalar g(v, w) in a way that generalizes many of the familiar properties of the dot product of vectors in Euclidean space. In the same way as a dot product, metric tensors are used to define the length of and angle between tangent vectors. Through integration, the metric tensor allows one to define and compute the length of curves on the manifold.
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Metric tensor
In the mathematical field of differential geometry, one definition of a metric tensor is a type of function which takes as input a pair of tangent vectors v and w at a point of a surface (or higher dimensional differentiable manifold) and produces a real number scalar g(v, w) in a way that generalizes many of the familiar properties of the dot product of vectors in Euclidean space. In the same way as a dot product, metric tensors are used to define the length of and angle between tangent vectors. Through integration, the metric tensor allows one to define and compute the length of curves on the manifold.
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Een metrische tensor is een sy ...... een coördinatentransformatie.
@nl
Em matemática, o tensor métric ...... a, é chamado de pseudométrica.
@pt
En geometría de Riemann, el te ...... n espacio localmente euclídeo.
@es
En géométrie, et plus particul ...... ation d'Einstein est utilisée.
@fr
En matemàtiques, dins la geome ...... n un espai localment euclidià.
@ca
Erlatibitate orokorraren arloa ...... eta etorkizunaren arteko muga.
@eu
In matematica, e più precisame ...... geodetica o di una curvatura.
@it
In the mathematical field of d ...... smoothly from point to point.
@en
Metrisk tensor knyter ett avståndsbegrepp till en rymd definierad av tensorer.
@sv
Tensor metryczny – tensor drug ...... artykule opisano oba sposoby.
@pl
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Een metrische tensor is een sy ...... vorm bepaalt op de raakruimte:
@nl
Em matemática, o tensor métric ...... r planamente de ponto à ponto.
@pt
En geometría de Riemann, el te ...... n espacio localmente euclídeo.
@es
En géométrie, et plus particul ...... ation d'Einstein est utilisée.
@fr
En matemàtiques, dins la geome ...... n un espai localment euclidià.
@ca
Erlatibitate orokorraren arloa ...... eta etorkizunaren arteko muga.
@eu
In matematica, e più precisame ...... geodetica o di una curvatura.
@it
In the mathematical field of d ...... gth of curves on the manifold.
@en
Metrisk tensor knyter ett avståndsbegrepp till en rymd definierad av tensorer.
@sv
Tensor metryczny – tensor drug ...... artykule opisano oba sposoby.
@pl
label
Metric tensor
@en
Metrický tenzor
@cs
Metrika tentsore
@eu
Metrische tensor
@nl
Metrischer Tensor
@de
Metrisk tensor
@sv
Tenseur métrique
@fr
Tensor metryczny
@pl
Tensor mètric
@ca
Tensor métrico
@es