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List of things named after Charles Hermite

(redirected from Hermitian)

Numerous things are named after the French mathematician Charles Hermite (1822–1901):

Hermite

  • Cubic Hermite spline, a type of third-degree spline
  • Gauss–Hermite quadrature, an extension of Gaussian quadrature method
  • Hermite distribution, a parametrized family of discrete probability distributions
  • Hermite–Lindemann theorem, theorem about transcendental numbers
  • Hermite constant, a constant related to the geometry of certain lattices
  • The Hermite–Hadamard inequality on convex functions and their integrals
  • Hermite interpolation, a method of interpolating data points by a polynomial
  • The Hermite–Minkowski theorem, stating that only finitely many number fields have small discriminants
  • Hermite normal form, a form of row-reduced matrices
  • Hermite numbers, integers related to the Hermite polynomials
  • Hermite polynomials, a sequence of polynomials orthogonal with respect to the normal distribution
  • Hermite reciprocity, a reciprocity law concerning covariants of binary forms
  • Hermite ring, a ring over which every stably free module is free of unique rank

Hermite's

  • Hermite's cotangent identity, a trigonometric identity
  • Hermite's identity, an identity on fractional parts of integer multiples of real numbers
  • Hermite's problem, an unsolved problem on certain ways of expressing real numbers
  • Hermite's theorem, that there are only finitely many algebraic number fields of discriminant less than a given magnitude

Hermitian

  • Einstein–Hermitian vector bundle
  • Hermitian adjoint
  • Hermitian connection, the unique connection on a Hermitian manifold that satisfies specific conditions
  • Hermitian form, a specific sesquilinear form
  • Hermitian function, a complex function whose complex conjugate is equal to the original function with the variable changed in sign
  • Hermitian hat wavelet, a low-oscillation, complex-valued wavelet
  • Hermitian manifold/structure
    • Hermitian metric, is a smoothly varying positive-definite Hermitian form on each fiber of a complex vector bundle
  • Hermitian matrix, a square matrix with complex entries that is equal to its own conjugate transpose
  • Hermitian operator, an operator (sometimes a symmetric operator, sometimes a symmetric densely defined operator, sometimes a self-adjoint operator)
  • Hermitian polynomials, a classical orthogonal polynomial sequence that arise in probability
  • Hermitian symmetric space, a Kähler manifold which, as a Riemannian manifold, is a Riemannian symmetric space
  • Hermitian transpose, the transpose of a matrix and with the complex conjugate of each entry
  • Hermitian variety, a generalisation of quadrics
  • Hermitian wavelet, a family of continuous wavelets

Astronomical objects

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