generalized gradient

  • 101Heat equation — The heat equation is an important partial differential equation which describes the distribution of heat (or variation in temperature) in a given region over time. For a function of three spatial variables ( x , y , z ) and one time variable t ,… …

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  • 102Automatic differentiation — In mathematics and computer algebra, automatic differentiation, or AD, sometimes alternatively called algorithmic differentiation, is a method to numerically evaluate the derivative of a function specified by a computer program. Two classical… …

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  • 103IML++ — IML++, or the Iterative Methods Library, is a C++ library for solving linear systems of equations. It is said to be templated in the sense that the same source code works for dense, sparse, and distributed matrices.Some of the supported solutions …

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  • 104Notation for differentiation — In differential calculus, there is no single uniform notation for differentiation. Instead, several different notations for the derivative of a function or variable have been proposed by different mathematicians. The usefulness of each notation… …

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  • 105Taylor series — Series expansion redirects here. For other notions of the term, see series (mathematics). As the degree of the Taylor polynomia …

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  • 106Electroencephalography — (EEG) is the measurement of electrical activity produced by the brain as recorded from electrodes placed on the scalp.Just as the activity in a computer can be understood on multiple levels, from the activity of individual transistors to the… …

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  • 107Molecular dynamics — (MD) is a computer simulation of physical movements of atoms and molecules. The atoms and molecules are allowed to interact for a period of time, giving a view of the motion of the atoms. In the most common version, the trajectories of molecules… …

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  • 108Hooke's law — models the properties of springs for small changes in length Prof. Walter Lewin explains Hooke s law, in …

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  • 109Perturbation theory (quantum mechanics) — In quantum mechanics, perturbation theory is a set of approximation schemes directly related to mathematical perturbation for describing a complicated quantum system in terms of a simpler one. The idea is to start with a simple system for which a …

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  • 110Total least squares — The bivariate (Deming regression) case of Total Least Squares. The red lines show the error in both x and y. This is different from the traditional least squares method which measures error parallel to the y axis. The case shown, with deviations… …

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