linear subspace वाक्य
उदाहरण वाक्य
मोबाइल
- Given a quotient space may be formed in a similar process by breaking a vector space into a number of similar linear subspaces.
- I wish to prove that if X is a normed space, then every proper linear subspace V of X has empty interior.
- If is a sublinear function, and is a linear functional on a linear subspace which is dominated by on, i . e.
- In particular, topological vector spaces are uniform spaces and one can thus talk about dense linear subspace of a complete topological vector space.
- In the case where " C " is a linear subspace of its Hamming space, it is called a linear code.
- The closed linear subspace of is said to be a "'complemented subspace "'of if is the projection from onto.
- One commonly says that this affine subspace has been obtained by translating ( away from the origin ) the linear subspace by the translation vector.
- Diffeomorphic Dimensionality Reduction or " Diffeomap " learns a smooth diffeomorphic mapping which transports the data onto a lower-dimensional linear subspace.
- The most important cases are sequences of real or complex numbers, and these spaces, together with linear subspaces, are known as sequence spaces.
- A linear subspace that contains all elements but one of a basis of the ambient space is a "'vector hyperplane " '.
- The displacement vectors for that affine space are the solutions of the corresponding " homogeneous " linear system, which is a linear subspace.
- In mathematics, the "'Grassmannian "'is a space which parameterizes all linear subspaces of a vector space of given dimension.
- Grassmannians by definition are the parameter spaces for linear subspaces, of a given dimension, in a given vector space " W ".
- If is the direct sum of two closed linear subspaces and, then the dual of is isomorphic to the direct sum of the duals of and.
- The linear subspace where these equations are satisfied is one of the constraint spaces, say " A ", used by the difference map.
- A densely defined operator from a complex Hilbert space to itself is a linear operator whose domain is a dense linear subspace of and whose values lies in.
- Linear subspace learning algorithms are traditional dimensionality reduction techniques that represent input data as vectors and solve for an optimal linear mapping to a lower-dimensional space.
- Formally, the real projective line is defined as the space of all one-dimensional linear subspaces of a two-dimensional vector space over the reals.
- Using the Hausdorff maximal principle and the fact that in a complete inner product space orthogonal projection onto linear subspaces is well-defined, one may also show that
- Both are dense linear subspaces, but their intersection is a line-the constant functions .-- a 19 : 17, 11 October 2010 ( UTC)
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