翻訳と辞書 Words near each other ・ Tentax musculus ・ Tentax penicilla ・ Tentax scoblei ・ Tenson Shrine ・ Tensongs ・ Tensor ・ Tensor (disambiguation) ・ Tensor (intrinsic definition) ・ Tensor algebra ・ Tensor calculus ・ Tensor contraction ・ Tensor Contraction Engine ・ Tensor density ・ Tensor derivative (continuum mechanics) ・ Tensor fasciae latae muscle ・ Tensor field ・ Tensor glyph ・ Tensor network theory ・ Tensor operator ・ Tensor product ・ Tensor product bundle ・ Tensor product model transformation ・ Tensor product network ・ Tensor product of algebras ・ Tensor product of fields ・ Tensor product of graphs ・ Tensor product of Hilbert spaces ・ Tensor product of modules ・ Tensor product of quadratic forms ・ Tensor rank decomposition Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Tensor field ： ウィキペディア英語版 Tensor field In mathematics, physics, and engineering, a tensor field assigns a tensor to each point of a mathematical space (typically a Euclidean space or manifold). Tensor fields are used in differential geometry, algebraic geometry, general relativity, in the analysis of stress and strain in materials, and in numerous applications in the physical sciences and engineering. As a tensor is a generalization of a scalar (a pure number representing a value, like length) and a vector (a geometrical arrow in space), a tensor field is a generalization of a scalar field or vector field that assigns, respectively, a scalar or vector to each point of space. Many mathematical structures informally called 'tensors' are actually 'tensor fields'. An example is the Riemann curvature tensor. ==Geometric introduction== Intuitively, a vector field is best visualized as an 'arrow' attached to each point of a region, with variable length and direction. One example of a vector field on a curved space is a weather map showing horizontal wind velocity at each point of the Earth's surface. The general idea of tensor field combines the requirement of richer geometry – for example, an ellipsoid varying from point to point, in the case of a metric tensor – with the idea that we don't want our notion to depend on the particular method of mapping the surface. It should exist independently of latitude and longitude, or whatever particular 'cartographic projection' we are using to introduce numerical coordinates. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Tensor field」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.