Cartesian tensor

Two different 3d orthonormal bases: each basis consists of unit vectors that are mutually perpendicular.

The same position vector x represented in two 3d rectangular coordinate systems each with an orthonormal basis, the cuboids illustrate the parallelogram law for adding vector components.

Top: Angles from the xi axes to the xi axes. Bottom: Vice versa.

Cyclic permutations of index values and positively oriented cubic volume.Anticyclic permutations of index values and negatively oriented cubic volume.Non-zero values of the Levi-Civita symbol εijk as the volume ei · ej × ek of a cube spanned by the 3d orthonormal basis.

In geometry and linear algebra, a Cartesian tensor uses an orthonormal basis to represent a tensor in a Euclidean space in the form of components. Converting a tensor's components from one such basis to another is through an orthogonal transformation.

单词	Cartesian tensor
释义	Cartesian tensor 英语百科 Cartesian tensor In geometry and linear algebra, a Cartesian tensor uses an orthonormal basis to represent a tensor in a Euclidean space in the form of components. Converting a tensor's components from one such basis to another is through an orthogonal transformation.
随便看	chromatography,two dimensional的意思 chromatography with mobile adsorbent的意思 chromatography workstation的意思 chromatograply的意思 chromatoid的意思 chromatoidal body的意思 chromatoid bar的意思 chromatoid bodies的意思 Chromatoid body的意思 chromatoideus的意思 chromatoid的意思 chromatokinesis的意思 chromatologist的意思 chromatology的意思 chromatolyse的意思 chromatolyses的意思 chromatolysis的意思 chromatolysm的意思 chromatolytic的意思 chromatomap的意思 chromatomap的意思 chromatomembrane method的意思 chromatomer的意思 chromatometablepsia的意思 chromatometer的意思