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Hermite polynomials - Wikipedia, the free encyclopedia
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Cubic Hermite spline - Wikipedia, the free encyclopedia
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Charles Hermite - Wikipedia, the free encyclopedia
Charles Hermite ( ) (December 24, 1822 – January 14, 1901) was a French mathematician who did research on number theory, quadratic forms, invariant theory, orthogonal polynomials, elliptic...
en.wikipedia.org/wiki/Charles_Hermite |
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As a teacher Hermite was inspiring. His correspondence with Stieltjes testifies to the great aid he gave those entering scientificlife. His efforts in teaching were directed not towards too rigorous minuteness, but towards exciting admiration for things simple and beautiful.
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Due to oversight, the crucial role that univariate splines play in describing the error in Hermite interpolation has only recently been exploited see, e.g., `Error bounds for Lagrange interpolation' (Shadrin 1994) and `L_p-error bounds for Hermite interpolation and the associated Wirtinger inequalities' (Waldron 1994).
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Definition of Hermite polynomials, their properties, and some special results. ... In the Sturm-Liouville Boundary Value Problem, there is a special case called Hermite's Differential Equation which arises in the treatment of the harmonic oscillator in quantum mechanics. Hermite's Differential Equation is defined as:
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Hermite did pioneering work on Abelian functions. In 1869, he became a professor at École Normale, and in 1870 at Sorbonne. All during his career, was generous in his help of young mathematicians. ... The solutions are known as Hermite polynomials. Hermite also discovered some of the properties of Hermitian matrices...
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