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dynamical matrix

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  • Dynamical simulation — Dynamical simulation, in computational physics, is the simulation of systems of objects that are free to move, usually in three dimensions according to Newton s laws of dynamics, or approximations thereto. Dynamical simulation is used in computer …   Wikipedia

  • Dynamical system — This article is about the general aspects of dynamical systems. For technical details, see Dynamical system (definition). For the study, see Dynamical systems theory. Dynamical redirects here. For other uses, see Dynamics (disambiguation). The… …   Wikipedia

  • Matrix difference equation — A matrix difference equation[1][2] is a difference equation in which the value of a vector (or sometimes, a matrix) of variables at one point in time is related to its own value at one or more previous points in time, using matrices. Occasionally …   Wikipedia

  • Matrix coefficient — In mathematics, a matrix coefficient (or matrix element) is a function on a group of a special form, which depends on a linear representation of the group and additional data. For the case of a finite group, matrix coefficients express the action …   Wikipedia

  • Random matrix — In probability theory and mathematical physics, a random matrix is a matrix valued random variable. Many important properties of physical systems can be represented mathematically as matrix problems. For example, the thermal conductivity of a… …   Wikipedia

  • Jordan matrix — In the mathematical discipline of matrix theory, a Jordan block over a ring R (whose identities are the zero 0 and one 1) is a matrix which is composed of 0 elements everywhere except for the diagonal, which is filled with a fixed element… …   Wikipedia

  • Linear dynamical system — In a linear dynamical system, the variation of a state vector (an N dimensional vector denoted mathbf{x}) equals a constant matrix(denoted mathbf{A}) multiplied by mathbf{x}. This variation can take two forms: either as a flow, in which mathbf{x} …   Wikipedia

  • Random dynamical system — In mathematics, a random dynamical system is a measure theoretic formulation of a dynamical system with an element of randomness , such as the dynamics of solutions to a stochastic differential equation. It consists of a base flow, the noise ,… …   Wikipedia

  • Hurwitz matrix — In mathematics, a square matrix A is called a Hurwitz matrix if every eigenvalue of A has strictly negative real part, that is,:mathop{mathrm{Re [lambda i] < 0, for each eigenvalue lambda i. A is also called a stability matrix, because then the… …   Wikipedia

  • Ceramic matrix composite — Fracture surface of a fiber reinforced ceramic composed of SiC fibers and SiC matrix. The fiber pull out mechanism shown is the key to CMC properties …   Wikipedia

  • Carleman matrix — In mathematics, a Carleman matrix is a matrix that is used to convert function composition into matrix multiplication. They are used in iteration theory to find the continuous iteration of functions that cannot be iterated by pattern recognition… …   Wikipedia

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