List of things named after Charles Hermite

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 class
Hermite differential equation
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
Hermite-Gaussian modes
The Hermite–Hadamard inequality on convex functions and their integrals
Hermite interpolation, a method of interpolating data points by a polynomial
Hermite–Kronecker–Brioschi characterization
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-Sobolev spaces

Hermite's cotangent identity, a trigonometric identity
Hermite's criterion
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

Einstein–Hermitian vector bundle
- Deformed Hermitian Yang–Mills equation
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 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
- Skew-Hermitian matrix
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
Non-Hermitian quantum mechanics