laplace operator sentence in Hindi
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- Then the spectrum for the Laplace Beltrami operator on is discrete and real, since the Laplace operator is self adjoint with compact resolvent; that is
- As many people guessed, this article just gives a badly explained description of the spectrum of the Laplace operator with Dirichlet and Neumann boundary conditions.
- The right-hand side is the radial term of the Laplace operator, so this differential equation is a special case of the Poisson equation.
- In mathematics, the "'Ornstein Uhlenbeck operator "'is a generalization of the Laplace operator to an infinite-dimensional setting.
- The discrete Laplace operator occurs in physics problems such as the Ising model and loop quantum gravity, as well as in the study of discrete dynamical systems.
- The differential equation containing the Laplace operator is then transformed into a variational formulation, and a system of equations is constructed ( linear or eigenvalue problems ).
- All "'self-adjoint matching conditions "'of the Laplace operator on a graph can be classified according to a scheme of Kostrykin and Schrader.
- For the case of a finite-dimensional graph ( having a finite number of edges and vertices ), the discrete Laplace operator is more commonly called the Laplacian matrix.
- Another generalization of the Laplace operator that is available on pseudo-Riemannian manifolds uses the exterior derivative, in terms of which the geometer's Laplacian " is expressed as
- In mathematics, the "'discrete Laplace operator "'is an analog of the continuous Laplace operator, defined so that it has meaning on a discrete grid.
- In mathematics, the "'discrete Laplace operator "'is an analog of the continuous Laplace operator, defined so that it has meaning on a discrete grid.
- Most edge-detection algorithms are sensitive to noise; the 2-D Laplacian filter, built from a discretization of the Laplace operator, is highly sensitive to noisy environments.
- Where \ nabla ^ 2 is the Laplace operator, p is the acoustic pressure ( the local deviation from the ambient pressure ), and where c is the speed of sound.
- The hypotheses of G�rding's inequality are easy to verify for the Laplace operator ?, so there exist constants " C " and " G " e " 0
- In mathematical analysis, one often studies solution to partial differential equations, an important example of which is harmonic analysis, where one studies harmonic functions : the kernel of the Laplace operator.
- I believe this is more or less solvable when only a finite number of the a _ n aren't zero; e . g . the discrete Laplace operator is a famous special case.
- The delta function has only radial dependence, so the Laplace operator ( a . k . a . scalar Laplacian ) in the spherical coordinate system simplifies to ( see del in cylindrical and spherical coordinates)
- In one class of finite element methods, boundary-value problems for differential equations involving the Hodge-Laplace operator may need to be solved on topologically nontrivial domains, for example, in electromagnetic simulations.
- This fact plays a role in the study of the Dirichlet problem, and in the fact that there exists an orthonormal basis of consisting of eigenvectors of the Laplace operator ( with Dirichlet boundary condition ).
- Above, the generator ( and hence characteristic operator ) of Brownian motion on "'R " "'n " was calculated to be ��, where ? denotes the Laplace operator.
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