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Что (кто) такое eigen - определение
WIKIMEDIA DISAMBIGUATION PAGE
Eigen (disambiguation); Eigen, Switzerland
eigenvalue
![[[Eigenface]]s as examples of eigenvectors](https://commons.wikimedia.org/wiki/Special:FilePath/Eigenfaces.png?width=200 "[[Eigenface]]s as examples of eigenvectors")
![An extended version, showing all four quadrants]].](https://commons.wikimedia.org/wiki/Special:FilePath/Eigenvectors.gif?width=200 "An extended version, showing all four quadrants]].")
![PCA of the [[multivariate Gaussian distribution]] centered at <math>(1, 3)</math> with a standard deviation of 3 in roughly the <math>(0.878, 0.478)</math> direction and of 1 in the orthogonal direction. The vectors shown are unit eigenvectors of the (symmetric, positive-semidefinite) [[covariance matrix]] scaled by the square root of the corresponding eigenvalue. Just as in the one-dimensional case, the square root is taken because the [[standard deviation]] is more readily visualized than the [[variance]].](https://commons.wikimedia.org/wiki/Special:FilePath/GaussianScatterPCA.png?width=200 "PCA of the [[multivariate Gaussian distribution]] centered at <math>(1, 3)</math> with a standard deviation of 3 in roughly the <math>(0.878, 0.478)</math> direction and of 1 in the orthogonal direction. The vectors shown are unit eigenvectors of the (symmetric, positive-semidefinite) [[covariance matrix]] scaled by the square root of the corresponding eigenvalue. Just as in the one-dimensional case, the square root is taken because the [[standard deviation]] is more readily visualized than the [[variance]].")
![measurement]]. The center of each figure is the [[atomic nucleus]], a [[proton]].](https://commons.wikimedia.org/wiki/Special:FilePath/HAtomOrbitals.png?width=200 "measurement]]. The center of each figure is the [[atomic nucleus]], a [[proton]].")
![homothety]])](https://commons.wikimedia.org/wiki/Special:FilePath/Homothety in two dim.svg?width=200 "homothety]])")
![In this [[shear mapping]] the red arrow changes direction, but the blue arrow does not. The blue arrow is an eigenvector of this shear mapping because it does not change direction, and since its length is unchanged, its eigenvalue is 1.](https://commons.wikimedia.org/wiki/Special:FilePath/Mona Lisa eigenvector grid.png?width=200 "In this [[shear mapping]] the red arrow changes direction, but the blue arrow does not. The blue arrow is an eigenvector of this shear mapping because it does not change direction, and since its length is unchanged, its eigenvalue is 1.")
VECTORS THAT MAP TO THEIR SCALAR MULTIPLES, AND THE ASSOCIATED SCALARS
EigenVectors; EigenValue; EigenVector; Eigen Vectors; Eigenvalue; Eigenspace; Eigenvector; Characteristic value; Algebraic multiplicity; Eigenvalues; Eigen value; Characteristic root; Latent root; Proper values; Eigenvalue, eigenvector, and eigenspace; Geometric multiplicity; Latent vector; Eigenvalue (quantum mechanics); Eigen vector; Eigenline; Proper vector; Eigenmode; Principal eigenvector; Eigensystem; Eigen basis; Eigenbasis; Eigenanalysis; Right eigenvector; Left eigenvector; Eigen value problem; Eigenfrequency; Eigenvalue (Matrix); Eigenproblem; Eigenmatrix; Proper value; Eigenvector, eigenvalue and eigenspace; Eigenvector, eigenvalue, and eigenspace; Eigenvectors; Algebraic Multiplicity; Eigenvalue, eigenvector and eigenspace; Spectral properties; Eigenvectors and eigenvalues; Eigen values; Simple eigenvalue; Semisimple eigenvalue; Eigenenergy; Eigenenergies; Racine caractéristique; Draft:Eigencircle; Eigenvector-eigenvalue identity; Eigenvalue problem; Eigen-values and eigenvectors
<mathematics> The factor by which a linear transformation
multiplies one of its eigenvectors.
(1995-04-10)
eigenvalue
VECTORS THAT MAP TO THEIR SCALAR MULTIPLES, AND THE ASSOCIATED SCALARS
EigenVectors; EigenValue; EigenVector; Eigen Vectors; Eigenvalue; Eigenspace; Eigenvector; Characteristic value; Algebraic multiplicity; Eigenvalues; Eigen value; Characteristic root; Latent root; Proper values; Eigenvalue, eigenvector, and eigenspace; Geometric multiplicity; Latent vector; Eigenvalue (quantum mechanics); Eigen vector; Eigenline; Proper vector; Eigenmode; Principal eigenvector; Eigensystem; Eigen basis; Eigenbasis; Eigenanalysis; Right eigenvector; Left eigenvector; Eigen value problem; Eigenfrequency; Eigenvalue (Matrix); Eigenproblem; Eigenmatrix; Proper value; Eigenvector, eigenvalue and eigenspace; Eigenvector, eigenvalue, and eigenspace; Eigenvectors; Algebraic Multiplicity; Eigenvalue, eigenvector and eigenspace; Spectral properties; Eigenvectors and eigenvalues; Eigen values; Simple eigenvalue; Semisimple eigenvalue; Eigenenergy; Eigenenergies; Racine caractéristique; Draft:Eigencircle; Eigenvector-eigenvalue identity; Eigenvalue problem; Eigen-values and eigenvectors
¦ noun Mathematics & Physics a value of a parameter for which a differential equation has a non-zero solution (an eigenfunction) under given conditions.
Peter Eigen
GERMAN LAWYER
Eigen, Peter
Peter Eigen (born June 11, 1938 in Augsburg, Germany) is a lawyer, development economist and civil society leader.
Википедия
Eigen
Eigen may refer to:
- Eigen (C++ library), computer programming library for matrix and linear algebra operations
- Eigen Technologies, the Document AI software company
- Eigen, Schwyz, settlement in the municipality of Alpthal in the canton of Schwyz, Switzerland
- Eigen, Thurgau, locality in the municipality of Lengwil in the canton of Thurgau, Switzerland
- Manfred Eigen (1927–2019), German biophysicist
- Saint Eigen, female Christian saint
- Eigen Hayashi (林 英源, born 1949), Japanese sport shooter
- See also
- Eigenvalue, eigenvector and eigenspace in mathematics and physics
- Eigenclass, synonym to metaclass in the ruby programming language
- Eigenbehaviour, with its connection to eigenform and eigenvalue in cybernetics (relevant authors being Heinz von Foerster, Luis Rocha and Louis Kauffman)
Примеры употребления для eigen
1. Mr Eigen said he was very impressed when he attended some meetings of the Nigerian EITI process earlier this year.
2. Peter Eigen, TI chairman, praised efforts to tackle corruption in Nigeria, under the leadership of President Olusegun Obasanjo.
3. Peter Eigen, chairman of Transparency International, said corruption among public officials was worsening poverty in many developing countries.
4. Peter Eigen is chair of the International Advisory Group of EITI and founder of Transparency International Eitransparency.org
5. "The two scourges feed off each other, locking their populations in a cycle of misery," Eigen said.