# Linear Approximation Formula

### Some articles on linear approximation, linear approximation formula, approximation, formula, linear:

Derivatives in Higher Dimensions - Total Derivative, Total Differential and Jacobian Matrix
... derivative of f in a chosen direction is the best linear approximation to f at that point and in that direction ... That is, for any vector v starting at a, the linear approximation formula holds Just like the single-variable derivative, f ′(a) is chosen so that the error in this approximation is as small as possible ... be a vector in Rn while the other terms would be vectors in Rm, and therefore the formula would not make sense ...
Sparse Approximation
... Sparse approximation (also referred to as sparse decomposition) is the problem of estimating a sparse multi-dimensional vector, satisfying a linear system of ... Sparse approximation techniques have found wide use in applications such as image processing, audio processing, biology, and document analysis ...
Model Solid Approximation
... The model solid approximation is a method used for determining the extrema of energy bands in semiconductors ... in a semiconductor crystal fluctuates on an atomic scale, the model solid approximation averages these fluctuations out to obtain a constant energy ...
Longest Path Problem - Approximation
... graphs "is notorious for the difficulty of understanding its approximation hardness" ... The best polynomial time approximation algorithm known for this case achieves only a very weak approximation ratio ... time however, there is a big gap between this inapproximability result and the known approximation algorithms for this problem ...
Common Integrals In Quantum Field Theory - Integrals That Can Be Approximated By The Method of Stationary Phase
... In the limit of small the integral can be evaluated in the stationary phase approximation ... In this approximation the integral is over the path in which the action is a minimum ... Therefore, this approximation recovers the classical limit of mechanics ...

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