An approximation is anything that is intentionally similar but not exactly equal to something else. The word approximation is derived from Latin approximatus...

expansion used in the approximation. The expressions: a zeroth-order approximation, a first-order approximation, a second-order approximation, and so forth are...

Rational approximation may refer to: Diophantine approximation, the approximation of real numbers by rational numbers Padé approximation, the approximation of...

mathematics, Stirling's approximation (or Stirling's formula) is an asymptotic approximation for factorials. It is a good approximation, leading to accurate...

In number theory, the study of Diophantine approximation deals with the approximation of real numbers by rational numbers. It is named after Diophantus...

In geometric optics, the paraxial approximation is a small-angle approximation used in Gaussian optics and ray tracing of light through an optical system...

In mathematics, a linear approximation is an approximation of a general function using a linear function (more precisely, an affine function). They are...

In the mathematical theory of artificial neural networks, universal approximation theorems are theorems of the following form: Given a family of neural...

successive approximation are a category of strategies in pure and applied mathematics. Successive approximation also may refer to: Successive approximation ADC...

Boussinesq approximation may refer to several modelling concepts – as introduced by Joseph Valentin Boussinesq (1842–1929), a French mathematician and...

The approximation error in a data value is the discrepancy between an exact value and some approximation to it. This error can be expressed as an absolute...

In computer science and operations research, approximation algorithms are efficient algorithms that find approximate solutions to optimization problems...

A minimax approximation algorithm (or L∞ approximation or uniform approximation) is a method to find an approximation of a mathematical function that...

In mathematics, Spouge's approximation is a formula for computing an approximation of the gamma function. It was named after John L. Spouge, who defined...

The binomial approximation is useful for approximately calculating powers of sums of 1 and a small number x. It states that ( 1 + x ) α ≈ 1 + α x . {\displaystyle...

for N much larger than n, the binomial distribution remains a good approximation, and is widely used. In general, if the random variable X follows the...

In mathematics, σ-approximation adjusts a Fourier summation to greatly reduce the Gibbs phenomenon, which would otherwise occur at discontinuities. A...

specifically functional analysis, a Banach space is said to have the approximation property (AP), if every compact operator is a limit of finite-rank operators...

Approximations for the mathematical constant pi (π) in the history of mathematics reached an accuracy within 0.04% of the true value before the beginning...

molecular physics, the Born–Oppenheimer (BO) approximation is the best-known mathematical approximation in molecular dynamics. Specifically, it is the...

In general, a function approximation problem asks us to select a function among a well-defined class[citation needed][clarification needed] that closely...

In mathematics, approximation theory is concerned with how functions can best be approximated with simpler functions, and with quantitatively characterizing...

scattering theory and in particular in quantum mechanics, the Born approximation consists of taking the incident field in place of the total field as...

A successive-approximation ADC is a type of analog-to-digital converter (ADC) that converts a continuous analog waveform into a discrete digital representation...

In mathematics, a Padé approximant is the "best" approximation of a function near a specific point by a rational function of given order. Under this technique...

In mathematics, an approximation to the identity refers to a sequence or net that converges to the identity in some algebra. Specifically, it can mean:...

celebrate pi include Pi Approximation Day on July 22 (22/7 in the day/month format, an approximation of π) and June 28 (6.28, an approximation of 2π or tau). In...

high-frequency approximation (or "high energy approximation") for scattering or other wave propagation problems, in physics or engineering, is an approximation whose...

The small-angle approximations can be used to approximate the values of the main trigonometric functions, provided that the angle in question is small...

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...