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  • Thumbnail for Linear approximation
    mathematics, a linear approximation is an approximation of a general function using a linear function (more precisely, an affine function). They are widely...
    10 KB (1,263 words) - 20:56, 12 August 2024
  • required for the universal approximation of Lp functions using feed-forward neural networks with ReLU as activation functions. Similar results that can...
    39 KB (5,225 words) - 05:12, 2 June 2025
  • In mathematical analysis, the Weierstrass approximation theorem states that every continuous function defined on a closed interval [a, b] can be uniformly...
    27 KB (3,235 words) - 20:19, 2 June 2025
  • In mathematical physics, the WKB approximation or WKB method is a technique for finding approximate solutions to linear differential equations with spatially...
    39 KB (6,860 words) - 22:43, 25 May 2025
  • Thumbnail for Exponential integral
    Tien-Chang (1998-02-26). "Numerical evaluation of exponential integral: Theis well function approximation". Journal of Hydrology. 205 (1–2): 38–51. Bibcode:1998JHyd...
    22 KB (3,488 words) - 12:55, 17 June 2025
  • linear approximation to a function at a given point. The linear approximation of a function is the first order Taylor expansion around the point of interest...
    10 KB (1,446 words) - 15:00, 1 December 2024
  • Thumbnail for Approximation theory
    In mathematics, approximation theory is concerned with how functions can best be approximated with simpler functions, and with quantitatively characterizing...
    16 KB (2,319 words) - 16:40, 3 May 2025
  • Thumbnail for Gamma function
    theorem states that among all functions extending the factorial functions to the positive real numbers, only the gamma function is log-convex, that is, its...
    90 KB (13,517 words) - 14:18, 9 June 2025
  • Thumbnail for Trigonometric functions
    trigonometric functions (also called circular functions, angle functions or goniometric functions) are real functions which relate an angle of a right-angled...
    77 KB (10,740 words) - 23:12, 14 June 2025
  • Thumbnail for Activation function
    be divided into three categories: ridge functions, radial functions and fold functions. An activation function f {\displaystyle f} is saturating if lim...
    25 KB (1,960 words) - 05:35, 26 April 2025
  • including approximation algorithms, game theory (as functions modeling user preferences) and electrical networks. Recently, submodular functions have also...
    22 KB (3,349 words) - 21:42, 2 February 2025
  • Thumbnail for Taylor series
    introduced by the use of such approximations. If the Taylor series of a function is convergent, its sum is the limit of the infinite sequence of the Taylor polynomials...
    48 KB (8,229 words) - 19:56, 6 May 2025
  • Thumbnail for Smoothness
    continuous functions. The class C 1 {\displaystyle C^{1}} consists of all differentiable functions whose derivative is continuous; such functions are called...
    25 KB (3,930 words) - 22:46, 20 March 2025
  • value to generate a sequence of improving approximate solutions for a class of problems, in which the i-th approximation (called an "iterate") is derived...
    11 KB (1,546 words) - 15:43, 10 January 2025
  • model of the objective function is found within the trust region, then the region is expanded; conversely, if the approximation is poor, then the region...
    5 KB (759 words) - 07:39, 13 December 2024
  • Thumbnail for Interpolation
    of that function for an intermediate value of the independent variable. A closely related problem is the approximation of a complicated function by a simple...
    23 KB (3,039 words) - 15:25, 28 May 2025
  • Fitness approximation aims to approximate the objective or fitness functions in evolutionary optimization by building up machine learning models based...
    4 KB (427 words) - 17:07, 1 January 2025
  • field of mathematical modeling, a radial basis function network is an artificial neural network that uses radial basis functions as activation functions. The...
    30 KB (4,849 words) - 20:07, 4 June 2025
  • a parameter of a procedure that is itself a procedure), returns a function as its result. All other functions are first-order functions. In mathematics...
    24 KB (2,643 words) - 18:43, 23 March 2025
  • In mathematics, low-rank approximation refers to the process of approximating a given matrix by a matrix of lower rank. More precisely, it is a minimization...
    22 KB (3,884 words) - 11:38, 8 April 2025
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