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Longer titles found: List of integrals of Gaussian functions (view)

searching for Gaussian function 35 found (139 total)

Amplitude-shift keying (1,641 words) [view diff] exact match in snippet view article find links to article

function of having an error of a given size can be modelled by a Gaussian function; the mean value will be the relative sent value, and its variance

Log Gabor filter (2,169 words) [view diff] exact match in snippet view article find links to article

becomes the Laplacian of a Gaussian function. For reasons of computational complexity, the Laplacian of a Gaussian function is often approximated using

V5668 Sagittarii (699 words) [view diff] exact match in snippet view article find links to article

imaged at 230 GHz with the ALMA. The image has been convolved with a gaussian function to make it match the resolution of the HST at the wavelength of Hα

Pascal matrix (1,854 words) [view diff] no match in snippet view article find links to article

Numbertheoretical matrices G. Helms Gauss-matrix Weisstein, Eric W. Gaussian-function Weisstein, Eric W. Erf-function Weisstein, Eric W. "Hermite Polynomial"

X-ray lithography (1,631 words) [view diff] exact match in snippet view article find links to article

free path results in an image blur, which is usually modeled as a Gaussian function (where σ = blur) that is convolved with the expected image. As the

Maestro (software) (1,107 words) [view diff] exact match in snippet view article

Sharpens only edges to improve clarity Gaussian Blurs an image using the Gaussian function to reduce noise and detail Smooths low resolution pictures to create

Gaussian orbital (1,616 words) [view diff] exact match in snippet view article find links to article

orthogonality in l {\displaystyle l} . Because an individual primitive Gaussian function gives a rather poor description for the electronic wave function near

Monte Carlo integration (2,612 words) [view diff] exact match in snippet view article find links to article

following example where one would like to numerically integrate a gaussian function, centered at 0, with σ = 1, from −1000 to 1000. Naturally, if the

Speeded up robust features (1,623 words) [view diff] exact match in snippet view article find links to article

of interest was detected. The obtained responses are weighted by a Gaussian function centered at the point of interest, then plotted as points in a two-dimensional

Spatial anti-aliasing (3,270 words) [view diff] exact match in snippet view article find links to article

sharpen it up (in the spatial domain), as shown. Functions based on the Gaussian function are natural choices, because convolution with a Gaussian gives another

Time–frequency analysis for music signals (984 words) [view diff] exact match in snippet view article find links to article

rectangular function, the transform is called Rec-STFT. When the w(t) is a Gaussian function, the transform is called Gabor transform. However, normally the musical

Exponentially modified Gaussian distribution (1,732 words) [view diff] exact match in snippet view article find links to article

"Reconstruction of chromatographic peaks using the exponentially modified Gaussian function". Journal of Chemometrics. 25 (7): 352. doi:10.1002/cem.1343. S2CID 121781856

Lucas–Kanade method (1,764 words) [view diff] exact match in snippet view article find links to article

The weight w i {\displaystyle w_{i}} is usually set to a Gaussian function of the distance between q i {\displaystyle q_{i}} and p {\displaystyle

Photoactivated localization microscopy (3,213 words) [view diff] exact match in snippet view article find links to article

observed emission profile to a known geometrical function, typically a Gaussian function in two dimensions. The error that is made in localizing the center

Quantum Hall effect (5,026 words) [view diff] exact match in snippet view article find links to article

in y {\displaystyle y} and Hermite polynomials attenuated by the gaussian function in x {\displaystyle x} , which are the wavefunctions of a harmonic

Edgeworth series (3,013 words) [view diff] exact match in snippet view article find links to article

\kappa _{n}){\frac {(-D)^{n}}{n!}}.} Since the n-th derivative of the Gaussian function ϕ {\displaystyle \phi } is given in terms of Hermite polynomial as

Isaiah Shavitt (552 words) [view diff] case mismatch in snippet view article find links to article

Shavitt in methods of computational Physics vol.2 Academic(1963) The Gaussian Function (1963) The Method of Configuration Interaction (1977) The Graphical

Brascamp–Lieb inequality (2,384 words) [view diff] exact match in snippet view article find links to article

to the case in which each f i {\displaystyle f_{i}} is a centered Gaussian function, namely f i ( y ) = exp ⁡ { − ( y , A i y ) } {\displaystyle f_{i}(y)=\exp\{-(y

Virtual screening (4,019 words) [view diff] exact match in snippet view article find links to article

standard for shape-based, ligand-centric virtual screening. It uses a Gaussian function to define molecular volumes of small organic molecules. The selection

Central limit theorem (9,202 words) [view diff] exact match in snippet view article find links to article

than or approximately equal to one). The input into the normalized Gaussian function is the mean of sample means (~50) and the mean sample standard deviation

Newton-X (2,241 words) [view diff] exact match in snippet view article find links to article

transition from the ground state into state n). g is a normalized Gaussian function with width δ given by g ( E − Δ E 0 , n , δ ) = 1 ( 2 π ( δ / 2 )

Ridge detection (4,704 words) [view diff] exact match in snippet view article find links to article

obtained by convolving f ( x , y ) {\displaystyle f(x,y)} with a Gaussian function g ( x , y , t ) = 1 2 π t e − ( x 2 + y 2 ) / 2 t {\displaystyle g(x

LOBPCG (4,443 words) [view diff] exact match in snippet view article find links to article

although the probability of the miss is zero. A good quality random Gaussian function with the zero mean is commonly the default in LOBPCG to generate the

Optical coherence tomography (10,313 words) [view diff] exact match in snippet view article find links to article

effect of OCT the complex degree of coherence is represented as a Gaussian function expressed as γ ( τ ) = exp ⁡ [ − ( π Δ ν τ 2 ln ⁡ 2 ) 2 ] ⋅ exp ⁡

Extreme learning machine (3,644 words) [view diff] exact match in snippet view article find links to article

}}{\bf {a}}\cdot {\bf {x}}-b\geq 0\\0,&{\text{otherwise}}\end{cases}}} Gaussian function: G ( a , b , x ) = exp ⁡ ( − b ‖ x − a ‖ 2 ) {\displaystyle G(\mathbf

Ambiguity function (3,643 words) [view diff] exact match in snippet view article find links to article

and are achieved if and only if s ( t ) {\displaystyle s(t)} is a Gaussian function. Consider a simple square pulse of duration τ {\displaystyle \tau

Semiconductor optical gain (2,166 words) [view diff] exact match in snippet view article find links to article

densities were considered. The theoretical spectra were convoluted with a Gaussian function with an inhomogeneous broadening of 19.7 meV. While for the data shown

Boundary layer thickness (4,792 words) [view diff] exact match in snippet view article find links to article

shape for laminar flow is closely approximated as a twice integrated Gaussian function. The moment method is based on simple integrals of the velocity profile

Scale-invariant feature transform (9,260 words) [view diff] exact match in snippet view article find links to article

the keypoint orientation. The magnitudes are further weighted by a Gaussian function with σ {\displaystyle \sigma } equal to one half the width of the

Polyharmonic spline (5,802 words) [view diff] exact match in snippet view article find links to article

is not the case for other radial basis functions. For example, the Gaussian function e − k ⋅ r 2 {\displaystyle e^{-k\cdot r^{2}}} needs to be tuned, so

Racket features (3,502 words) [view diff] exact match in snippet view article find links to article

requires Racket 5.2 or later (require plot) ;; Returns an R x R x R -> R Gaussian function centered at (cx,cy,cz) (define ((gaussian cx cy cz) x y z) (exp (-

Fraunhofer diffraction equation (6,005 words) [view diff] exact match in snippet view article find links to article

the aperture is covered by a filter whose transmission varies as a Gaussian function, giving a diffraction pattern with no secondary rings. The pattern

Eddy diffusion (7,941 words) [view diff] exact match in snippet view article find links to article

{\displaystyle \phi } released). The solution of this problem is a Gaussian function. In particular, the solution for an instantaneous point source of

Single-molecule FRET (6,137 words) [view diff] exact match in snippet view article find links to article

and larger-amplitude Poisson noise that can be represented by the Gaussian function) and a Poisson background noise (signal-count-independent). The latter

Marcum Q-function (7,425 words) [view diff] exact match in snippet view article find links to article

and that the limits are finite, (iii) and that the integrand is a Gaussian function of these arguments. For positive integer values of ν = n {\displaystyle