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Hadamard (disambiguation)
・ Hadamard code
・ Hadamard manifold
・ Hadamard matrix
・ Hadamard product
・ Hadamard product (matrices)
・ Hadamard regularization
・ Hadamard space
・ Hadamard three-circle theorem
・ Hadamard three-lines theorem
・ Hadamard transform
・ Hadamard's dynamical system
・ Hadamard's inequality
・ Hadamard's lemma
・ Hadamard's maximal determinant problem


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Hadamard (disambiguation) : ウィキペディア英語版
Hadamard (disambiguation)
Hadamard may refer to:
* 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
; Differential equations and dynamical systems :
* 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
; Complex analysis and convexity :
* 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.
; Transform calculus :
* Hadamard transform, an example of a generalized class of Fourier transforms
* Fast Walsh–Hadamard transform, an efficient algorithm to compute the Hadamard transform
; Theory of matrices :
* 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.


抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Hadamard (disambiguation)」の詳細全文を読む



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