Charles Hermite

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Hermite, Charles


Born Dec. 24, 1822, in Dieuze; died Jan. 14, 1901, in Paris. French mathematician. Member of the Academie des Sciences (1856).

Hermite obtained a position at the Ecole Polytechnique in 1848 and became a professor at the University of Paris in 1869. He made contributions to various areas of classical analysis, algebra, and number theory. Hermite’s principal works dealt with the theory of elliptic functions and its application. He studied the class of orthogonal polynomials now called Hermite polynomials. A number of his papers were devoted to the theory of algebraic forms and their invariants. Hermite proved in 1873 that e is a transcendental number.


In Russian translation:
Kursanaliza. Leningrad-Moscow, 1936.


Klein, F. Lektsii o razvitii matematiki v XIX stoletii, part 1. Moscow-Leningrad, 1937. (Translated from German.)
References in classic literature ?
The French then say "le diable se fait hermite," but these men, as a rule, have never been devils, neither do they become angels; for, in order to be really good or evil, some strength and deep breathing is required.
Mr Hartshorne gives no other authority for the present fragment, except the article in the Bibliographer, where it is entitled the Kyng and the Hermite.
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For the second case study, a number of 14 filters from all categories have been selected, as follows: Triangle, Hermite, Quadratic, Cubic B-Spline, Mitchell, Catmull-Rom, Notch, Robidoux, Gaussian, Flat-Top, Parzen, Nuttall, Blackman-Nuttall, Blackman-Harris.
Inspired by the discovery that the shape of passenger vehicles is smooth and continuous within the surfaces defined by corresponding boundary lines, SMA provides three different spline options SMA: linear, cubic spline, and Piecewise Cubic Hermite Interpolation (PCHIP).
The approach is based on extracting the torque signal between 5% and 95% of max torque and fitting a Piecewise Cubic Hermite Interpolating Polynomial (PCHIP) to this data segment.
n] are the nth root of N-order Hermite polynomial and the corresponding weights.
The semi-nonparametric approach allows a more flexible functional form of the unknown disturbances distribution, because it uses a joint bivariate density function of the disturbances approximated by a Hermite Polynomial Expansion (hpe).
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In this paper, a new representation of Hermite osculatory interpolation is presented in order to construct weighted Hermite quadrature rules.
4] used Runge-Kutta method and Hermite interpolation to solve delay differential equations.
History of this inequality begins with the papers of Hermite [1] and Hadamard [2] in the years 1883-1893 (see [3]).