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 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
• Continuous q-Hermite polynomials
• Continuous big q-Hermite polynomials
• Discrete q-Hermite polynomials
• Wiener–Hermite expansion
• 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

• 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

Hermitian

• 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

Astronomical objects

• 24998 Hermite, a main-belt asteroid
• Hermite (crater)