tensor of inertia

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• Inertia tensor of triangle — The inertia tensor mathbf{J} of a triangle (like the inertia tensor of any body) can be expressed in terms of covariance mathbf{C} of the body::mathbf{J} = mathrm{tr}(mathbf{C})mathbf{I} mathbf{C}where covariance is defined as area integral over… …   Wikipedia

• inertia tensor — inercijos tenzorius statusas T sritis fizika atitikmenys: angl. inertia tensor; inertial tensor vok. Trägheitstensor, m rus. тензор инерции, m pranc. tenseur d’inertie, m …   Fizikos terminų žodynas

• Moment of inertia — This article is about the moment of inertia of a rotating object, also termed the mass moment of inertia. For the moment of inertia dealing with the bending of a beam, also termed the area moment of inertia, see second moment of area. In… …   Wikipedia

• Gyration tensor — The gyration tensor is a tensor that describes the second moments of position of a collection of particles :S {mn} stackrel{mathrm{def{=} frac{1}{N}sum {i=1}^{N} r {m}^{(i)} r {n}^{(i)}where r {m}^{(i)} is the mathrm{m^{th Cartesian coordinate of …   Wikipedia

• Symmetric tensor — In mathematics, a symmetric tensor is a tensor that is invariant under a permutation of its vector arguments. Symmetric tensors of rank two are sometimes called quadratic forms. In more abstract terms, symmetric tensors of general rank are… …   Wikipedia

• List of moment of inertia tensors — This list of moment of inertia tensors is given for principal axes of each object.ee also*Moment of inertia *List of area moments of inertia *The inertia tensor of a triangle in three dimensional space * [http://number none.com/blow/inertia/bb… …   Wikipedia

• Metric tensor — In the mathematical field of differential geometry, a metric tensor is a type of function defined on a manifold (such as a surface in space) which takes as input a pair of tangent vectors v and w and produces a real number (scalar) g(v,w) in a… …   Wikipedia

• inertial tensor — inercijos tenzorius statusas T sritis fizika atitikmenys: angl. inertia tensor; inertial tensor vok. Trägheitstensor, m rus. тензор инерции, m pranc. tenseur d’inertie, m …   Fizikos terminų žodynas

• Eigenvalues and eigenvectors — For more specific information regarding the eigenvalues and eigenvectors of matrices, see Eigendecomposition of a matrix. In this shear mapping the red arrow changes direction but the blue arrow does not. Therefore the blue arrow is an… …   Wikipedia

• Eigenvalue, eigenvector and eigenspace — In mathematics, given a linear transformation, an Audio|De eigenvector.ogg|eigenvector of that linear transformation is a nonzero vector which, when that transformation is applied to it, changes in length, but not direction. For each eigenvector… …   Wikipedia

• Outer product — For outer product in geometric algebra, see exterior product. In linear algebra, the outer product typically refers to the tensor product of two vectors. The result of applying the outer product to a pair of vectors is a matrix. The name… …   Wikipedia