bounded domain वाक्य
उदाहरण वाक्य
मोबाइल
- A bounded domain is an open connected bounded subset of a complex affine space.
- In dimensions at least 7 there are infinite families of homogeneous bounded domains that are not symmetric.
- Let \ Omega be a bounded domain in \ mathbb { R } ^ n satisfying the cone condition.
- The limit is uniform over " z " in an arbitrary bounded domain in the complex plane.
- If is a bounded domain in then the eigenfunctions of the Laplacian are an orthonormal basis for the Hilbert space.
- Examples where this construction can be used to define a compactification are bounded domains in the plane and symmetric spaces of non-compact type.
- In computer science, an "'x-fast trie "'is a data structure for storing integers from a bounded domain.
- In computer science, a "'y-fast trie "'is a data structure for storing integers from a bounded domain.
- �lie Cartan classified the homogeneous bounded domains in dimension at most 3 ( up to isomorphism ), showing that they are all Hermitian symmetric spaces.
- The converse is also true : any " j "-algebra is the Lie algebra of some transitive group of automorphisms of a homogeneous bounded domain.
- The Cayley transform shows that is isomorphic to the group " H " " D " of biholomorphisms of the bounded domain " D ".
- Existence of the solution and spectral properties then follow from the theory of compact operators; in particular, an elliptic boundary value problem on a bounded domain has infinitely many isolated eigenvalues.
- This is the special case for of the Jordan algebraic result, explained below, which asserts that the Cayley transform and its inverse establish a bijection between the bounded domain and the tube domain.
- This does not give a 1 : 1 correspondence between homogeneous bounded domains and " j "-algebras, because a homogeneous bounded domain can have several different Lie groups acting transitively on it.
- This does not give a 1 : 1 correspondence between homogeneous bounded domains and " j "-algebras, because a homogeneous bounded domain can have several different Lie groups acting transitively on it.
- And we can be certain that this continued fraction converges uniformly on every bounded domain in the complex plane because it is equivalent to the power series for " e " " z ".
- He asked whether all bounded homogeneous domains are symmetric . answered Cartan's question by finding a Siegel domain of type 2 in 4 dimensions that is homogeneous and biholomorphic to a bounded domain but not symmetric.
- A common question is to estimate the mean sojourn time of a particle diffusing in a bounded domain \ Omega before it escapes through a small absorbing window \ partial \ Omega _ a in its boundary \ partial \ Omega.
- The formulation is the following : a Brownian particle ( ion, molecule, or protein ) is confined to a bounded domain ( a compartment or a cell ) by a reflecting boundary, except for a small window through which it can escape.
- Let \ Omega be a bounded domain in \ mathbb { R } ^ d with a sufficiently regular boundary \ Gamma, let " h " be a function on \ Gamma, and let x be a point inside \ Omega.
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