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Mathematical objects

Matrices used in statistics
The following matrices find their main application in statistics and probability theory.Bernoulli matrix — a square matrix with entries +1, −1, with equal probability of each.Centering matrix — a m ...
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Matrices satisfying conditions on products or inverses
This matrix product is denoted AB. Unlike the product of numbers, matrix products are not commutative, that is to say AB need not be equal to BA. A number of notions are concerned with the failure of ...
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Constant matrices
The list below comprises matrices whose elements are constant for any given dimension (size) of matrix. The matrix entries will be denoted aij. The table below uses the Kronecker delta δij for two in ...
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Matrices with explicitly constrained entries
The following lists matrices whose entries are subject to certain conditions. Many of them apply to square matrices only, that is matrices with the same number of columns and rows. The main diagonal o ...
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List of matrices
This page lists some important classes of matrices used in mathematics, science and engineering. A matrix (plural matrices, or less commonly matrixes) is a rectangular array of numbers called entries. ...
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List of mathematical shapes
0D with no surfacepoint1D with 0D surfaceintervalline2D with 1D surfaceMain article: List of two-dimensional geometric shapesSee also: list of curvesBézier curve: (As + Bt)n | 0 ≤ s ≤ 1 ∧ 0 ≤ t ...
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List of manifolds
Generic families of manifoldsEuclidean space, Rnn-sphere, Snn-torus, TnReal projective space, RPnComplex projective space, CPnQuaternionic projective space, HPnGrassmann manifoldFlag manifoldStiefel m ...
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List of mathematical knots and links
KnotsPrime knotsSee also: List of prime knots0₁ knot/Unknot - a simple un-knotted closed loop3₁ knot/Trefoil knot - (2,3)-torus knot, the two loose ends of a common overhand knot joined together4₁ ...
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Special functions
Basic special functionsIndicator function: maps x to either 1 or 0, depending on whether or not x belongs to some subset.Step function: A finite linear combination of indicator functions of half-open ...
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Elementary functions
Elementary functions are functions built from basic operations (e.g. addition, exponentials, logarithms...)Algebraic functionsAlgebraic functions are functions that can be expressed as the solution of ...
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List of mathematical functions
In mathematics, many functions or groups of functions are important enough to deserve their own names. This is a listing of articles which explain some of these functions in more detail. There is a la ...
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Discrete transforms
For usage on computers, number theory and algebra, discrete arguments (e.g. functions of a series of discrete samples) are often more appropriate, and are handled by the transforms (analogous to the c ...
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Continuous transforms
Applied to functions of continuous arguments, Fourier-related transforms include:Two-sided Laplace transformMellin transform, another closely related integral transformLaplace transformFourier transfo ...
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List of Fourier-related transforms
This is a list of linear transformations of functions related to Fourier analysis. Such transformations map a function to a set of coefficients of basis functions, where the basis functions are sinuso ...
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Infinite families
Cyclic groups ZpSimplicity: Simple for p a prime number.Order: pSchur multiplier: Trivial.Outer automorphism group: Cyclic of order p − 1.Other names: Z/pZRemarks: These are the only simple groups th ...
category:    2014-3-16 16:20

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