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subspace Definition

sub·space (subspās′)

noun

Math. a space which forms a proper subset of some larger space

subspace Usage Examples

Preposition: of

  • space: The critical angles between the blocks subspace and the treatments subspace of the data space give the canonical efficiency factors.

Converse of object

  • use: The model uses an underlying subspace in which it makes smooth, continuous trajectories.
  • select: Unlike the AR options, selecting a different signal subspace does not result in an immediate update of the solution vector.

Adjective modifier

  • invariant: The question whether every Hilbert space operator has a non-trivial invariant subspace is a famous long-standing open problem.
  • affine: In Cryst, a Wyckoff position W is specified by such a representative affine subspace.
  • underlying: The model uses an underlying subspace in which it makes smooth, continuous trajectories.
  • representative: In Cryst, a Wyckoff position W is specified by such a representative affine subspace.
  • linear: Those solutions belong ( or asymptotically tend ) to a certain invariant linear subspace - cluster manifold.

Modifies a noun

  • method: A new research project, which aims to extend subspace methods to bilinear systems, has been started.
  • topology: All these are topological spaces, whose topology is given by the subspace topology induced from the natural topology of R 3.
  • problem: This is the famous and still open " invariant subspace problem " for operators on a Hilbert space.
  • value: The spectral peak count will be half the signal subspace value.
  • field: We must assume ships ' phasers are souped up with some kind of extra subspace field, which may explain their visibility in scanners.

Noun used with modifier

  • signal: Leave the signal subspace set to 6. Click OK to close the singular values dialog.
  • noise: These estimators function on the principle that the noise subspace eigenvectors should be orthogonal to the signal vectors.