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In mathematics, the discrete Poisson equation is the finite difference analog of the Poisson equation. In it, the discrete Laplace operator takes the place of the Laplace operator. The discrete Poisson equation is frequently used in numerical analysis as a stand-in for the continuous Poisson equation, although it is also studied in its own right as a topic in discrete mathematics.
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In mathematics, the discretePoissonequation is the finite difference analog of the Poissonequation. In it, the discrete Laplace operator takes the place...
In probability theory and statistics, the Poisson distribution is a discrete probability distribution that expresses the probability of a given number...
Quebec Poisson distribution, a discrete probability distribution named after Siméon Denis PoissonPoisson'sequation, a partial differential equation named...
In mathematics, the Poisson summation formula is an equation that relates the Fourier series coefficients of the periodic summation of a function to values...
Discrete mathematics is the study of mathematical structures that can be considered "discrete" (in a way analogous to discrete variables, having a bijection...
and the potential is solved for this grid (e.g. by solving the discretePoissonequation). This interpolation introduces errors in the force calculation...
evaluating a Poisson bracket without resorting to differential equations, see Lie algebra; a Poisson bracket is the name for the Lie bracket in a Poisson algebra...
statistics, Poisson regression is a generalized linear model form of regression analysis used to model count data and contingency tables. Poisson regression...
differential equations by approximating derivatives with finite differences. Both the spatial domain and time domain (if applicable) are discretized, or broken...
independently of one another. The Poisson point process is also called a Poisson random measure, Poisson random point field and Poisson point field. When the process...
treated as discrete, and the equation of evolution of some variable over time is called a difference equation. For certain discrete-time dynamical systems,...
of associated discrete events, like tornado outbreaks, the Polya distributions can be used to give more accurate models than the Poisson distribution by...
technique for solving partial differential equations (PDEs) in which all dimensions except one are discretized. MOL allows standard, general-purpose methods...
eigenvalues of discrete Laplace operator Kronecker sum of discrete Laplacians — used for Laplace operator in multiple dimensions DiscretePoissonequation — discrete...
and derived Poisson probabilities as a solution to a family of differential equations, resulting in the independent discovery of the Poisson process. After...
order. This is the discrete analog of the continuous Gaussian in that it is the solution to the discrete diffusion equation (discrete space, continuous...
1/2+1/4+1/8+\dots =1} . Well-known discrete probability distributions used in statistical modeling include the Poisson distribution, the Bernoulli distribution...
noise or Poisson noise is a type of noise which can be modeled by a Poisson process. In electronics shot noise originates from the discrete nature of...
summarized and classified into groups of models. When discrete choice model are combined with structural equation models to integrate psychological (latent) variables...
now be recognized as a form of the Poisson summation formula. Thus we have the important result that when a discrete data sequence, s [ n ] , {\displaystyle...
This constraint allows the calculation of the equations of motion of the system using Lagrange's equations. Suppose there exists a bead sliding around on...
ordinary differential equations are methods used to find numerical approximations to the solutions of ordinary differential equations (ODEs). Their use is...