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In mathematics, the Gaussian binomial coefficients (also called Gaussian coefficients, Gaussian polynomials, or q-binomial coefficients) are q-analogs...

connection with nonlinear operations on Gaussian noise. random matrix theory in Gaussian ensembles. Hermite polynomials were defined by Pierre-Simon Laplace...

optics, a Gaussian beam is an idealized beam of electromagnetic radiation whose amplitude envelope in the transverse plane is given by a Gaussian function;...

n-point Gaussian quadrature rule, named after Carl Friedrich Gauss, is a quadrature rule constructed to yield an exact result for polynomials of degree...

In mathematics, Gaussian elimination, also known as row reduction, is an algorithm for solving systems of linear equations. It consists of a sequence of...

In mathematics, a Gaussian function, often simply referred to as a Gaussian, is a function of the base form f ( x ) = exp ⁡ ( − x 2 ) {\displaystyle f(x)=\exp(-x^{2})}...

the Gaussian distribution. The Gaussian transfer function polynomials may be synthesized using a Taylor series expansion of the square of Gaussian function...

The Gaussian integral, also known as the Euler–Poisson integral, is the integral of the Gaussian function f ( x ) = e − x 2 {\displaystyle f(x)=e^{-x^{2}}}...

In probability theory and statistics, a normal distribution or Gaussian distribution is a type of continuous probability distribution for a real-valued...

introduced in 1938 by Norbert Wiener using Hermite polynomials to model stochastic processes with Gaussian random variables. It was introduced to the physics...

formula Gauss's lemma in relation to polynomials Gaussian binomial coefficient, also called Gaussian polynomial or Gaussian coefficient Gauss transformation...

_{n}=n(n+1)\,.} Gaussian quadrature Gegenbauer polynomials Turán's inequalities Legendre wavelet Legendre function Jacobi polynomials Romanovski polynomials Laplace...

precisely, it is a polynomial function of the coefficients of the original polynomial. The discriminant is widely used in polynomial factoring, number...

different solution methods exist, including the classical Gaussian elimination. A polynomial equation for which one is interested only in the solutions...

In numerical analysis, polynomial interpolation is the interpolation of a given bivariate data set by the polynomial of lowest possible degree that passes...

and –i. Gaussian integers have a Euclidean division (division with remainder) similar to that of integers and polynomials. This makes the Gaussian integers...

Gaussian polynomial, Gaussian distribution, Hypergeometric function 2F1, etc. Leopold Bernhard Gegenbauer: Gegenbauer polynomials Gottlieb polynomial...

Quasi-polynomial time algorithms are algorithms whose running time exhibits quasi-polynomial growth, a type of behavior that may be slower than polynomial time...

criterion was establishing the irreducibility of certain polynomials with coefficients in the Gaussian integers that arise in the study of the division of...

terminating Gaussian hypergeometric functions is useful to reveal recurrences, to demonstrate that they are special cases of Jacobi polynomials, to write...