Hermite polynomials - Wikipedia, the free encyclopedia
In mathematics, the Hermite polynomials are a classical orthogonal polynomial sequence that arise in probability, such as the Edgeworth series; in combinatorics, as an example of an Appell sequence,...
en.wikipedia.org/wiki/Hermite_polynomials
Cubic Hermite spline - Wikipedia, the free encyclopedia
In the mathematical subfield of numerical analysis a cubic Hermite spline (also called cspline ), named in honor of Charles Hermite, is a third-degree spline with each polynomial of the spline in ...
en.wikipedia.org/wiki/Cubic_Hermite_spline
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
Charles Hermite (1822-1901) ... Charles Hermite ... Hermite's work in the theory of functions includes the application of elliptic functions to the quintic equation. In 1873 he published the first proof that e is a transcendental number.
www-history.mcs.st-andrews.ac.uk/history/Mathematicians... www-history.mcs.st-andrews.ac.uk/history/Mathematicians/Hermite.html
Biography of Charles Hermite (BB^Y-1901) ... Charles Hermite ... Charles Hermite's father was Ferdinand Hermite and his mother was Madeleine Lallemand. Ferdinand Hermite was a trained engineer and he worked in this capacity in a salt mine near Dieuse. After he married Madeleine he joined in the draper's trade in which her...
www-history.mcs.st-andrews.ac.uk/Biographies/Hermite.ht... www-history.mcs.st-andrews.ac.uk/Biographies/Hermite.html
Cardinal splines are just a subset of the hermite curves. They don't need the tangent points because they will be calculated from the control points. We'll lose some of the flexibility of the hermite curves, but as a tradeoff the curves will be much easier to use.
www.cubic.org/docs/hermite.htm www.cubic.org/docs/hermite.htm
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.
www.newadvent.org/cathen/07279a.htm
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).
www.math.auckland.ac.nz/~waldron/Hermite/hermite.html www.math.auckland.ac.nz/~waldron/Hermite/hermite.html
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:
www.efunda.com/math/Hermite/index.cfm www.efunda.com/math/Hermite/index.cfm
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...
scienceworld.wolfram.com/biography/Hermite.html scienceworld.wolfram.com/biography/Hermite.html