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hermite polynomial वाक्य

"hermite polynomial" हिंदी मेंhermite polynomial in a sentence
उदाहरण वाक्यमोबाइल
  • This can be seen by comparing the generating function of the Hermite polynomials
  • An early definition of the FRFT was introduced by Wiener on Hermite polynomials.
  • Essentially the Weierstrass transform thus turns a series of Hermite polynomials into a corresponding Maclaurin series.
  • Note that the above expression is a special case of the representation of the probabilists'Hermite polynomials as moments
  • This implies Hermite polynomials can be expressed in terms of 1 " F " 1 as well.
  • Hermite polynomials were defined by though in scarcely recognizable form, and studied in detail by Chebyshev ( 1859 ).
  • PC was first introduced by Norbert Wiener where Hermite polynomials were used to model stochastic processes with Gaussian random variables.
  • With more general boundary conditions, the Hermite polynomials can be generalized to obtain more general analytic functions for a complex index.
  • Hermite polynomials, Hermite interpolation, Hermite normal form, Hermitian operators, and cubic Hermite splines are named in his honor.
  • This happens to be what's known as Hermite's differential equation, and the Hermite polynomials are the solution to it.
  • The sequence that is inverse to the one similarly denoted but without the minus sign, and thus speak of Hermite polynomials of negative variance.
  • In the case of the harmonic potential, the wave functions solutions of the one-dimensional quantum harmonic oscillator are known as Hermite polynomials.
  • The interested reader may investigate other functional linear operators which give rise to different kinds of orthogonal eigenfunctions such as Legendre polynomials, Chebyshev polynomials and Hermite polynomials.
  • If the notation " He " is used for these Hermite polynomials, and " H " for those above, then these may be characterized by
  • Accurate description of such a beam involves expansion over some complete, orthogonal set of functions ( over two-dimensions ) such as Hermite polynomials or the Ince polynomials.
  • For example, the quantum harmonic oscillator is ideally expanded in Hermite polynomials, and Jacobi-polynomials can be used to define the associated Legendre functions typically appearing in rotational problems.
  • Where " x " i = 0 for all " i " > 2; thus allowing for a combinatorial interpretation of the coefficients of the Hermite polynomials.
  • Among the most notable Appell sequences besides the trivial example { " x " " n " } are the Hermite polynomials, the Bernoulli polynomials, and the Euler polynomials.
  • The authors Kemp and Kemp have called it " Hermite distribution " from the fact its probability function and the moment generating function can be expressed in terms of the coefficients of ( modified ) Hermite polynomials.
  • Neither article in Wikipedia states such a relationship but there is a link to an external article on Hermite interpolation from the article on Hermite polynomials . . . but that could just have been places in error.
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