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In mathematics, Hermite's identity, named after Charles Hermite, gives the value of a summation involving the floor function. It states that for every...

trigonometric identity Hermite's criterion Hermite's identity, an identity on fractional parts of integer multiples of real numbers Hermite's problem, an...

Brahmagupta–Fibonacci identity or Cassini and Catalan identities Heine's identity Hermite's identity Lagrange's identity Lagrange's trigonometric identities List of...

In mathematics, the Hermite polynomials are a classical orthogonal polynomial sequence. The polynomials arise in: signal processing as Hermitian wavelets...

In mathematics, Hermite's cotangent identity is a trigonometric identity discovered by Charles Hermite. Suppose a1, ..., an are complex numbers, no two...

Charles Hermite Hermitian manifold Hermite interpolation Hermite's cotangent identity Hermite reciprocity Ramanujan's constant Linehan 1910. O'Connor,...

"Trigonometric Identities à la Hermite". American Mathematical Monthly. 117 (4): 311–327. doi:10.4169/000298910x480784. S2CID 29690311. "Product Identity Multiple...

{n{\vphantom {1}}}{2}}\right\rceil .} More generally, for positive m (See Hermite's identity) ⌈ m x ⌉ = ⌈ x ⌉ + ⌈ x − 1 m ⌉ + ⋯ + ⌈ x − m − 1 m ⌉ , {\displaystyle...

assured over the rational integers, a result sometimes referred to as Hermite's theorem. Although that appears to be a special case of the above theorem...

the Rogers–Ramanujan identities are two identities related to basic hypergeometric series and integer partitions. The identities were first discovered...

discriminant and ramification. Hermite's theorem predates the general definition of the discriminant with Charles Hermite publishing a proof of it in 1857...

functions, especially in the description of the modular identity of the Jacobi theta function, the Hermite elliptic transcendents and the Weber modular functions...

Versine Trigonometric identity (list) De Moivre's formula Euler's formula Hermite's cotangent identity Lagrange's trigonometric identities Morrie's law Proofs...

\iff \quad A=A^{\mathsf {H}}} Hermitian matrices are named after Charles Hermite, who demonstrated in 1855 that matrices of this form share a property with...

gauge theory and complex geometry, a Hermitian Yang–Mills connection (or Hermite-Einstein connection) is a Chern connection associated to an inner product...

symmetric matrices have real eigenvalues. This was extended by Charles Hermite in 1855 to what are now called Hermitian matrices. Around the same time...

solid Catalan surface Catalan's conjecture Catalan's constant Catalan's identity Catalan's minimal surface Scientific career Fields Mathematics Doctoral...

Sciences des Paris, vol. 60, pages 1–26. Hermite, Charles, Oeuvres [Paris, 1908], Vol. 2, pages 319–346. Hermite's proof is presented in: Goursat, Édouard...

the Christoffel–Darboux formula or Christoffel–Darboux theorem is an identity for a sequence of orthogonal polynomials, introduced by Elwin Bruno Christoffel (1858)...

implementations of these algorithms are also listed. Nguyen, Phong Q. (2009). "Hermite's Constant and Lattice Algorithms". The LLL Algorithm. Information Security...