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Matrix-exponential distribution
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In probability theory, the matrix-exponential distribution is an absolutely continuous distribution with rational Laplace–Stieltjes transform. They wereRational arrival process (189 words) [view diff] no match in snippet view article find links to article
extends the concept of a Markov arrival process, allowing for dependent matrix-exponential distributed inter-arrival times. The processes were first characterisedProduct of exponentials formula (1,116 words) [view diff] exact match in snippet view article find links to article
^{T}v\theta } where I is the 3x3 identity matrix. For each joint i, the matrix exponential e ξ ^ i θ i {\textstyle e^{{\hat {\xi }}_{i}\theta _{i}}} for a givenMultivariate Laplace distribution (1,093 words) [view diff] no match in snippet view article find links to article
Kolmogorov Lévy Log-Cauchy Log-Laplace Log-logistic Log-normal Log-t Lomax Matrix-exponential Maxwell–Boltzmann Maxwell–Jüttner Mittag-Leffler Nakagami Pareto Phase-typeWilks's lambda distribution (635 words) [view diff] no match in snippet view article find links to article
Kolmogorov Lévy Log-Cauchy Log-Laplace Log-logistic Log-normal Log-t Lomax Matrix-exponential Maxwell–Boltzmann Maxwell–Jüttner Mittag-Leffler Nakagami Pareto Phase-typeSAAM II (1,278 words) [view diff] exact match in snippet view article find links to article
solving ODEs. Pade approximation of the matrix exponential: This method is based on approximating the matrix exponential using Pade approximants, providingValidated numerics (1,341 words) [view diff] exact match in snippet view article find links to article
Applications, 569, 38-61. Miyajima, S. (2019). Verified computation of the matrix exponential. Advances in Computational Mathematics, 45(1), 137-152. JohanssonInverse Laplace transform (1,049 words) [view diff] no match in snippet view article find links to article
Matlab Numerical Inversion of Laplace Transforms based on concentrated matrix-exponential functions in Matlab Inverse Fourier transform Poisson summation formulaElliptical distribution (1,750 words) [view diff] no match in snippet view article find links to article
Kolmogorov Lévy Log-Cauchy Log-Laplace Log-logistic Log-normal Log-t Lomax Matrix-exponential Maxwell–Boltzmann Maxwell–Jüttner Mittag-Leffler Nakagami Pareto Phase-type2-EPT probability density function (513 words) [view diff] exact match in snippet view article find links to article
{c}}_{N}e^{{\textbf {A}}_{N}x}{\textbf {b}}_{N},} where e represents a matrix exponential, ( A N , A P ) {\displaystyle ({\textbf {A}}_{N},{\textbf {A}}_{P})}Autonomous system (mathematics) (2,457 words) [view diff] case mismatch in snippet view article
Brooks/Cole Publishing Co. pp. 540–543. ISBN 0-495-01265-3. "Method of Matrix Exponential". Math24. Retrieved 28 February 2021. Vardia T. Haimo (1985). "FiniteRodrigues' rotation formula (2,167 words) [view diff] exact match in snippet view article find links to article
s o ( 3 ) {\displaystyle {\mathfrak {so}}(3)} ). In terms of the matrix exponential, R = exp ( θ K ) . {\displaystyle \mathbf {R} =\exp(\theta \mathbfDavid Cox (statistician) (2,036 words) [view diff] no match in snippet view article
Known for Cox proportional hazards model Cox process Box-Cox transform Matrix-exponential distribution Method of supplementary variables Stochastic processesAdjoint representation (3,517 words) [view diff] exact match in snippet view article find links to article
{\mathfrak {g}}} consists of matrices and the exponential map is the matrix exponential exp ( X ) = e X {\displaystyle \operatorname {exp} (X)=e^{X}} forSelf-organizing map (4,063 words) [view diff] exact match in snippet view article find links to article
The homogeneous Gaussian neighborhood function is replaced with the matrix exponential. Thus one can specify the orientation either in the map space or inQuTiP (935 words) [view diff] exact match in snippet view article find links to article
70710678+0.j ] [ 0. +0.70710678j]] ], dtype=object)) >>> (1j * A).expm() # matrix exponential of an operator Quantum object: dims = [[2], [2]], shape = (2, 2),Kreiss matrix theorem (802 words) [view diff] exact match in snippet view article find links to article
of the Kreiss constant with respect to the left-half plane and the matrix exponential: K l h p ( A ) ≤ sup t ≥ 0 ‖ e t A ‖ ≤ e n K l h p ( A ) {\displaystyleCentrality (6,738 words) [view diff] exact match in snippet view article find links to article
the number of walks of length given by that power. Similarly, the matrix exponential is also closely related to the number of walks of a given length.Screw theory (4,410 words) [view diff] exact match in snippet view article find links to article
[T(t)] that has a constant twist matrix [S]. The solution is the matrix exponential [ T ( t ) ] = e [ S ] t . {\displaystyle [T(t)]=e^{[S]t}.} This formulationMultivariate normal distribution (9,594 words) [view diff] no match in snippet view article find links to article
Kolmogorov Lévy Log-Cauchy Log-Laplace Log-logistic Log-normal Log-t Lomax Matrix-exponential Maxwell–Boltzmann Maxwell–Jüttner Mittag-Leffler Nakagami Pareto Phase-typeLocal linearization method (12,708 words) [view diff] no match in snippet view article find links to article
In numerical analysis, the local linearization (LL) method is a general strategy for designing numerical integrators for differential equations based onJacobi eigenvalue algorithm (4,682 words) [view diff] exact match in snippet view article find links to article
e + ) E b {\displaystyle x=S^{+}b=E^{T}{\mbox{Diag}}(e^{+})Eb} . Matrix exponential From S = E T Diag ( e ) E {\displaystyle S=E^{T}{\mbox{Diag}}(e)E}Anil K. Bera (5,140 words) [view diff] case mismatch in snippet view article find links to article
Dogan, O.; & Guloglu, B. (2022). "Testing Spatial Dependence in a Matrix Exponential Spatial Specification", in Current Research in Architecture and EngineeringBell polynomials (7,714 words) [view diff] case mismatch in snippet view article find links to article
as BellY Maple as IncompleteBellB SageMath as bell_polynomial Bell matrix Exponential formula Comtet 1974. Cvijović 2011. Alexeev, Pologova & AlekseyevComputational anatomy (16,879 words) [view diff] exact match in snippet view article find links to article
simple ordinary differential equations with solutions given by the matrix exponential. For the study of deformable shape in computational anatomy, a more