| Revision as of 21:27, 23 December 2018 editRxtreme (talk | contribs)379 edits Added Hadamard gate (likely the most common use of Hadamard, related though not identical to the Hadamard matrix). Hadamard gate should really go to the section in the Quantum Logic Gates, though.← Previous edit | Revision as of 16:07, 8 February 2020 edit undoPppery (talk | contribs)Interface administrators, Administrators100,531 edits FormattingNext edit → | ||
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| * ] (1865–1963), a French mathematician, whose name is associated with the following topics in mathematics: | * ] (1865–1963), a French mathematician, whose name is associated with the following topics in mathematics: | ||
| == Differential geometry = | |||
| * ], a geodesically complete metric space of non-positive curvature | * ], a geodesically complete metric space of non-positive curvature | ||
| * ], a result on the topology of non-positively curved manifolds | * ], a result on the topology of non-positively curved manifolds | ||
| == Differential equations and dynamical systems == | |||
| * ], a method of solving partial differential equations by reducing dimensions | * ], a method of solving partial differential equations by reducing dimensions | ||
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| * ], a type of chaotic dynamical system | * ], a type of chaotic dynamical system | ||
| == Complex analysis and convexity == | |||
| * ]: a bound on the maximum modulus complex analytic functions defined on a strip in the complex plane; | * ]: a bound on the maximum modulus complex analytic functions defined on a strip in the complex plane; | ||
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| * ], bounding the integral of convex functions. | * ], bounding the integral of convex functions. | ||
| == Transform calculus == | |||
| * ], an example of a generalized class of Fourier transforms | * ], an example of a generalized class of Fourier transforms | ||
| * ], an efficient algorithm to compute the Hadamard transform | * ], an efficient algorithm to compute the Hadamard transform | ||
| == Theory of matrices == | |||
| * ], a square matrix whose entries are either +1 or −1 and whose rows are mutually orthogonal | * ], a square matrix whose entries are either +1 or −1 and whose rows are mutually orthogonal | ||
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| * ], a bound on the determinants of matrices. | * ], a bound on the determinants of matrices. | ||
| == Quantum computing == | |||
| * ], a standard quantum gate that generalizes a coin flip. | * ], a standard quantum gate that generalizes a coin flip. | ||
Revision as of 16:07, 8 February 2020
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.
Quantum computing
- Hadamard gate, a standard quantum gate that generalizes a coin flip.
This disambiguation page lists articles associated with the title Hadamard.If an internal link led you here, you may wish to change the link to point directly to the intended article. Category: