# Gaussian

• (adj): Of or relating to Karl Gauss or his mathematical theories of magnetics or electricity or astronomy or probability.
Example: "Gaussian distribution"

### Some articles on gaussian:

Polymer Field Theory - Canonical Ensemble - Particle Representation of The Canonical Partition Function
... in which the statistical mechanics of the chains is described by the continuous Gaussian thread model (Baeurle 2007) and the solvent is taken into account implicitly ... The Gaussian thread model can be considered as the continuum limit of the discrete Gaussian chain model, in which the polymers are described as continuous, linearly elastic filaments ...
Scale Space Implementation - Separability
... Using the separability property of the Gaussian kernel the N-dimensional convolution operation can be decomposed into a set of separable smoothing steps ... even when the kernel is not exactly Gaussian, since separation of the dimensions is the most practical way to implement multidimensional smoothing, especially at larger scales ...
Slepian's Lemma
... Slepian's lemma (1962), named after David Slepian, is a Gaussian comparison inequality ... It states that for Gaussian random variables and in satisfying and for , the following inequality holds for all real numbers , While this intuitive-seeming result ... As a corollary, if is a centered stationary Gaussian process such that for all t, it holds for any real number c that ...
Common Integrals In Quantum Field Theory - Variations On A Simple Gaussian Integral - Integrals With An Imaginary Linear Term in The Argument of The Exponent
... The integral is proportional to the Fourier transform of the gaussian where is the conjugate variable of ... the square we see that the Fourier transform of a gaussian is also a gaussian, but in the conjugate variable ... The larger is, the narrower the gaussian in and the wider the gaussian in ...
Gaussian Process Emulator
... In statistics, Gaussian process emulator is one name for a general type of statistical model that has been used in contexts where the problem is to make maximum ... The Gaussian process emulator model treats the problem from the viewpoint of Bayesian statistics ... The main element of the Gaussian process emulator model is that it models the outputs as a Gaussian process on a space that is defined by the model inputs ...