Faster access than browser!Similarities between Fourier transform and Gaussian function
Fourier transform and Gaussian function have 25 things in common (in Unionpedia): Airy disk, Analytic function, Bessel function, Cauchy distribution, Convolution, Derivative, Diffusion, Dirac delta function, Discrete Fourier transform, Eigenfunction, Function (mathematics), Heat equation, Hermite polynomials, Integral, Multivariate normal distribution, Normal distribution, Partial differential equation, Periodic summation, Probability density function, Probability theory, Quantum field theory, Real number, Signal processing, Statistics, Wave function.
Airy disk
In optics, the Airy disk (or Airy disc) and Airy pattern are descriptions of the best focused spot of light that a perfect lens with a circular aperture can make, limited by the diffraction of light.
Airy disk and Fourier transform · Airy disk and Gaussian function ·
Analytic function
In mathematics, an analytic function is a function that is locally given by a convergent power series.
Analytic function and Fourier transform · Analytic function and Gaussian function ·
Bessel function
Bessel functions, first defined by the mathematician Daniel Bernoulli and then generalized by Friedrich Bessel, are the canonical solutions of Bessel's differential equation for an arbitrary complex number, the order of the Bessel function.
Bessel function and Fourier transform · Bessel function and Gaussian function ·
Cauchy distribution
The Cauchy distribution, named after Augustin Cauchy, is a continuous probability distribution.
Cauchy distribution and Fourier transform · Cauchy distribution and Gaussian function ·
Convolution
In mathematics (and, in particular, functional analysis) convolution is a mathematical operation on two functions (f and g) to produce a third function, that is typically viewed as a modified version of one of the original functions, giving the integral of the pointwise multiplication of the two functions as a function of the amount that one of the original functions is translated.
Convolution and Fourier transform · Convolution and Gaussian function ·
Derivative
The derivative of a function of a real variable measures the sensitivity to change of the function value (output value) with respect to a change in its argument (input value).
Derivative and Fourier transform · Derivative and Gaussian function ·
Diffusion
Diffusion is the net movement of molecules or atoms from a region of high concentration (or high chemical potential) to a region of low concentration (or low chemical potential) as a result of random motion of the molecules or atoms.
Diffusion and Fourier transform · Diffusion and Gaussian function ·
Dirac delta function
In mathematics, the Dirac delta function (function) is a generalized function or distribution introduced by the physicist Paul Dirac.
Dirac delta function and Fourier transform · Dirac delta function and Gaussian function ·
Discrete Fourier transform
In mathematics, the discrete Fourier transform (DFT) converts a finite sequence of equally-spaced samples of a function into a same-length sequence of equally-spaced samples of the discrete-time Fourier transform (DTFT), which is a complex-valued function of frequency.
Discrete Fourier transform and Fourier transform · Discrete Fourier transform and Gaussian function ·
Eigenfunction
In mathematics, an eigenfunction of a linear operator D defined on some function space is any non-zero function f in that space that, when acted upon by D, is only multiplied by some scaling factor called an eigenvalue.
Eigenfunction and Fourier transform · Eigenfunction and Gaussian function ·
Function (mathematics)
In mathematics, a function was originally the idealization of how a varying quantity depends on another quantity.
Fourier transform and Function (mathematics) · Function (mathematics) and Gaussian function ·
Heat equation
The heat equation is a parabolic partial differential equation that describes the distribution of heat (or variation in temperature) in a given region over time.
Fourier transform and Heat equation · Gaussian function and Heat equation ·
Hermite polynomials
In mathematics, the Hermite polynomials are a classical orthogonal polynomial sequence.
Fourier transform and Hermite polynomials · Gaussian function and Hermite polynomials ·
Integral
In mathematics, an integral assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data.
Fourier transform and Integral · Gaussian function and Integral ·
Multivariate normal distribution
In probability theory and statistics, the multivariate normal distribution or multivariate Gaussian distribution is a generalization of the one-dimensional (univariate) normal distribution to higher dimensions.
Fourier transform and Multivariate normal distribution · Gaussian function and Multivariate normal distribution ·
Normal distribution
In probability theory, the normal (or Gaussian or Gauss or Laplace–Gauss) distribution is a very common continuous probability distribution.
Fourier transform and Normal distribution · Gaussian function and Normal distribution ·
Partial differential equation
In mathematics, a partial differential equation (PDE) is a differential equation that contains unknown multivariable functions and their partial derivatives.
Fourier transform and Partial differential equation · Gaussian function and Partial differential equation ·
Periodic summation
In signal processing, any periodic function, s_P(t) with period P, can be represented by a summation of an infinite number of instances of an aperiodic function, s(t), that are offset by integer multiples of P. This representation is called periodic summation: When s_P(t) is alternatively represented as a complex Fourier series, the Fourier coefficients are proportional to the values (or "samples") of the continuous Fourier transform, S(f) \ \stackrel \ \mathcal\, at intervals of 1/P.
Fourier transform and Periodic summation · Gaussian function and Periodic summation ·
Probability density function
In probability theory, a probability density function (PDF), or density of a continuous random variable, is a function, whose value at any given sample (or point) in the sample space (the set of possible values taken by the random variable) can be interpreted as providing a relative likelihood that the value of the random variable would equal that sample.
Fourier transform and Probability density function · Gaussian function and Probability density function ·
Probability theory
Probability theory is the branch of mathematics concerned with probability.
Fourier transform and Probability theory · Gaussian function and Probability theory ·
Quantum field theory
In theoretical physics, quantum field theory (QFT) is the theoretical framework for constructing quantum mechanical models of subatomic particles in particle physics and quasiparticles in condensed matter physics.
Fourier transform and Quantum field theory · Gaussian function and Quantum field theory ·
Real number
In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.
Fourier transform and Real number · Gaussian function and Real number ·
Signal processing
Signal processing concerns the analysis, synthesis, and modification of signals, which are broadly defined as functions conveying "information about the behavior or attributes of some phenomenon", such as sound, images, and biological measurements.
Fourier transform and Signal processing · Gaussian function and Signal processing ·
Statistics
Statistics is a branch of mathematics dealing with the collection, analysis, interpretation, presentation, and organization of data.
Fourier transform and Statistics · Gaussian function and Statistics ·
Wave function
A wave function in quantum physics is a mathematical description of the quantum state of an isolated quantum system.
Fourier transform and Wave function · Gaussian function and Wave function ·
The list above answers the following questions
- What Fourier transform and Gaussian function have in common
- What are the similarities between Fourier transform and Gaussian function
Fourier transform and Gaussian function Comparison
Fourier transform has 248 relations, while Gaussian function has 91. As they have in common 25, the Jaccard index is 7.37% = 25 / (248 + 91).
References
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