Hadamard (disambiguation)

Hadamard may refer to:

Zélie Hadamard (1849–1901), French actress
Jacques Hadamard (1865–1963), a French mathematician, whose name is associated with the following topics in mathematics:

Differential geometry

Hadamard space, a geodesically complete metric space of non-positive curvature
Cartan-Hadamard theorem, a result on the topology of non-positively curved manifolds

Hadamard's method of descent, a method of solving partial differential equations by reducing dimensions
Hadamard parametrix construction, a method of solving second order partial differential equations
Hadamard's dynamical system, a type of chaotic dynamical system

Hadamard three-lines theorem: a bound on the maximum modulus complex analytic functions defined on a strip in the complex plane;
Hadamard three-circle theorem, a bound on the maximum modulus of complex analytic functions defined on an annulus in the complex plane; closely related to the three-lines theorem;
Hadamard factorization theorem, a specific factorization of an entire function of finite order, involving its zeros and the exponential of a polynomial
Ostrowski–Hadamard gap theorem, a result on the analytic continuation of lacunary power series
Hermite–Hadamard inequality, bounding the integral of convex functions.

Hadamard transform, an example of a generalized class of Fourier transforms
Fast Walsh–Hadamard transform, an efficient algorithm to compute the Hadamard transform

Hadamard matrix, a square matrix whose entries are either +1 or −1 and whose rows are mutually orthogonal
Hadamard code, a system used for signal error detection and correction based on Hadamard matrices
Hadamard's inequality, a bound on the determinants of matrices.
Hadamard product, a name for element-wise multiplication of matrices/

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