# Linear Approximation Formula

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

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 ...
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 ...
Derivatives in Higher Dimensions - Total Derivative, Total Differential and Jacobian Matrix
... open subset of Rn to Rm, then the directional derivative of f in a chosen direction is the best linear approximation to f at that point and in that direction ... 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 ... while the other terms would be vectors in Rm, and therefore the formula would not make sense ...
Model Solid Approximation
... The model solid approximation is a method used for determining the extrema of energy bands in semiconductors ... fluctuates on an atomic scale, the model solid approximation averages these fluctuations out to obtain a constant energy level for each material ...
Longest Path Problem - Approximation
... undirected 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 ... however, there is a big gap between this inapproximability result and the known approximation algorithms for this problem ...

### Famous quotes containing the word formula:

Ideals possess the strange quality that if they were completely realized they would turn into nonsense. One could easily follow a commandment such as “Thou shalt not kill” to the point of dying of starvation; and I might establish the formula that for the proper functioning of the mesh of our ideals, as in the case of a strainer, the holes are just as important as the mesh.
Robert Musil (1880–1942)