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singular equation system

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  • Singular value decomposition — Visualization of the SVD of a 2 dimensional, real shearing matrix M. First, we see the unit disc in blue together with the two canonical unit vectors. We then see the action of M, which distorts the disk to an ellipse. The SVD decomposes M into… …   Wikipedia

  • Singular perturbation — In mathematics, more precisely in perturbation theory, a singular perturbation problem is a problem containing a small parameter that cannot be approximated by setting the parameter value to zero. This is in contrast to regular perturbation… …   Wikipedia

  • Ordinary differential equation — In mathematics, an ordinary differential equation (or ODE) is a relation that contains functions of only one independent variable, and one or more of their derivatives with respect to that variable. A simple example is Newton s second law of… …   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

  • Sylvester equation — In control theory, the Sylvester equation is the matrix equation of the form:A X + X B = C,where A,B,X,C are n imes n matrices.Existence and uniqueness of the solutionUsing the Kronecker product notation and the vectorization operator… …   Wikipedia

  • Lippmann-Schwinger equation — The Lippmann Schwinger equation (named after Bernard A. Lippmann and Julian Schwinger) is of importance to scattering theory. The equation is: | psi^{(pm)} angle = | phi angle + frac{1}{E H 0 pm i epsilon} V |psi^{(pm)} angle. ,DerivationWe will… …   Wikipedia

  • Debye–Hückel equation — The Debye–Hückel equation and Debye–Hückel limiting law, were derived by Peter Debye and Erich Hückel, who developed a theory with which to calculate activity coefficients of electrolyte solutions.[1] Activities, rather than concentrations, are… …   Wikipedia

  • Debye-Hückel equation — The Debye Hückel limiting law, named for its developers Peter Debye and Erich Hückel, provides one way to obtain activity coefficients Ref|Harris. Activities, rather than concentrations, are needed in many chemical calculations because solutions… …   Wikipedia

  • Linear system of divisors — A linear system of divisors algebraicizes the classic geometric notion of a family of curves, as in the Apollonian circles. In algebraic geometry, a linear system of divisors is an algebraic generalization of the geometric notion of a family of… …   Wikipedia

  • Axiom (computer algebra system) — Scratchpad redirects here. For scratchpad memory, see Scratchpad RAM. Axiom Developer(s) independent group of people Stable release September 2011 Operating system cross platform …   Wikipedia

  • Conic section — Types of conic sections: 1. Parabola 2. Circle and ellipse 3. Hyperbola …   Wikipedia

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