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spectral measure sentence in Hindi

"spectral measure" meaning in Hindispectral measure in a sentence
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  • However, as Dirac masses in the spectral measure.
  • The spectral measures can be used to extend the continuous functional calculus to bounded Borel functions.
  • This measure is sometimes called the "'spectral measure associated to h " '.
  • The limit of the empirical spectral measure for Wigner matrices was described by Eugene Wigner; see Wigner semicircle distribution.
  • Same result holds for a discrete-time stationary process, with the spectral measure now defined on the unit circle.
  • The limit of the empirical spectral measure of invariant matrix ensembles is described by a certain integral equation which arises from potential theory.
  • The limit of the empirical spectral measure of Wishart matrices was found by Vladimir Marchenko and Leonid Pastur, see Marchenko Pastur distribution.
  • Let " H " ac be the subspace consisting of vectors whose spectral measures are absolutely continuous with respect to the Lebesgue measure.
  • The Riesz-Markov theorem then allows us to pass from integration on continuous functions to spectral measures, and this is the Borel functional calculus.
  • Via its spectral measures, one can define a decomposition of the spectrum of any self adjoint operator, bounded or otherwise into absolutely continuous, pure point, and singular parts.
  • In the latter formulation, measurements are described using the spectral measure of | \ Psi \ rangle, if the system is prepared in | \ Psi \ rangle prior to the measurement.
  • So in this case the solution to the Hamburger moment problem is unique and " ? ", being the spectral measure of " T ", has finite support.
  • This is essentially the result of Feldheim, that any stable random vector can be characterized by a spectral measure \ Lambda ( a finite measure on \ mathbb S ) and a shift vector \ delta \ in \ mathbb R ^ d.
  • Is a polynomial of degree " n " & minus; 1 and these polynomials are orthonormal with respect to the spectral measure corresponding to the first basis vector \ delta _ 1 ( n ) = \ delta _ { 1, n }.
  • In the classical case " T " was a compact self-adjoint operator; in this case " T " is just a self-adjoint bounded operator with 0 d " " T " d " I . The abstract theory of spectral measure can therefore be applied to " T " to give the eigenfunction expansion for " D ".
  • Random matrices interpretation : if A and B are some independent n by n Hermitian ( resp . real symmetric ) random matrices such that at least one of them is invariant, in law, under conjugation by any unitary ( resp . orthogonal ) matrix and such that the empirical spectral measures of A and B tend respectively to \ mu and \ nu as n tends to infinity, then the empirical spectral measure of A + B tends to \ mu \ boxplus \ nu.
  • Random matrices interpretation : if A and B are some independent n by n Hermitian ( resp . real symmetric ) random matrices such that at least one of them is invariant, in law, under conjugation by any unitary ( resp . orthogonal ) matrix and such that the empirical spectral measures of A and B tend respectively to \ mu and \ nu as n tends to infinity, then the empirical spectral measure of A + B tends to \ mu \ boxplus \ nu.
  • Random matrices interpretation : if A and B are some independent n by n non negative Hermitian ( resp . real symmetric ) random matrices such that at least one of them is invariant, in law, under conjugation by any unitary ( resp . orthogonal ) matrix and such that the empirical spectral measures of A and B tend respectively to \ mu and \ nu as n tends to infinity, then the empirical spectral measure of AB tends to \ mu \ boxtimes \ nu.
  • Random matrices interpretation : if A and B are some independent n by n non negative Hermitian ( resp . real symmetric ) random matrices such that at least one of them is invariant, in law, under conjugation by any unitary ( resp . orthogonal ) matrix and such that the empirical spectral measures of A and B tend respectively to \ mu and \ nu as n tends to infinity, then the empirical spectral measure of AB tends to \ mu \ boxtimes \ nu.
spectral measure sentences in Hindi. What are the example sentences for spectral measure? spectral measure English meaning, translation, pronunciation, synonyms and example sentences are provided by Hindlish.com.