• The proper generalized decomposition (PGD) is an iterative numerical method for solving boundary value problems (BVPs), that is, partial differential equations...
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  • distinct set of symptoms following the death of a loved one Proper generalized decomposition, a numerical method for solving boundary value problems Postgraduate...
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  • also fall into this class but are perhaps less common are: Proper generalized decomposition Matrix interpolation Transfer function interpolation Piecewise...
    31 KB (3,363 words) - 22:00, 27 July 2025
  • decomposition. Decomposition can be a gradual process for organisms that have extended periods of dormancy. One can differentiate abiotic decomposition from biotic...
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  • Thumbnail for Ear decomposition
    sequence is taken to be a cycle. An open ear decomposition or a proper ear decomposition is an ear decomposition in which the two endpoints of each ear after...
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  • matrix multiplication and matrix decomposition). The product sometimes includes a permutation matrix as well. LU decomposition can be viewed as the matrix...
    54 KB (8,681 words) - 11:27, 29 July 2025
  • discussion of Hodge decomposition below. The Hodge decomposition is closely related to the Helmholtz decomposition, generalizing from vector fields on...
    44 KB (7,265 words) - 03:08, 20 April 2025
  • Thumbnail for Singular value decomposition
    m\times n} ⁠ matrix. It is related to the polar decomposition. Specifically, the singular value decomposition of an m × n {\displaystyle m\times n} complex...
    91 KB (14,598 words) - 06:12, 1 August 2025
  • especially algebraic geometry, the decomposition theorem of Beilinson, Bernstein and Deligne or BBD decomposition theorem is a set of results concerning...
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  • Lasker ring, which means that every ideal can be decomposed as an intersection, called primary decomposition, of finitely many primary ideals (which are related...
    26 KB (4,366 words) - 02:50, 26 March 2025
  • mathematics, particularly in operator theory, Wold decomposition or Wold–von Neumann decomposition, named after Herman Wold and John von Neumann, is a...
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  • Probit model Product of experts Programming with Big Data in R Proper generalized decomposition Pruning (decision trees) Pushpak Bhattacharyya Q methodology...
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  • Thumbnail for Sign function
    {\displaystyle (\operatorname {sgn} 0)^{2}=0} . This generalized signum allows construction of the algebra of generalized functions, but the price of such generalization...
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  • In algebra, the partial fraction decomposition or partial fraction expansion of a rational fraction (that is, a fraction such that the numerator and the...
    34 KB (7,031 words) - 18:51, 3 August 2025
  • modular decomposition for undirected graphs and directed graphs. For each undirected graph, this decomposition is unique. This notion can be generalized to...
    22 KB (3,177 words) - 03:46, 20 June 2025
  • In mathematics, a generalized flag variety (or simply flag variety) is a homogeneous space whose points are flags in a finite-dimensional vector space...
    17 KB (2,475 words) - 10:11, 13 July 2025
  • the Killing form is due to Cartan.[citation needed] A (symmetrizable) generalized Cartan matrix is a square matrix A = ( a i j ) {\displaystyle A=(a_{ij})}...
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  • primary decomposition is a decomposition into indecomposable modules, and thus every finitely generated module over a PID is a completely decomposable module...
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  • Eigenvalue decomposition Empirical mode decomposition Global mode Normal mode Proper orthogonal decomposition Singular-value decomposition Schmid, Peter...
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  • must instead use a decomposition into generalized eigenspaces, and possibly into Jordan blocks. But obtaining such a fine decomposition is not necessary...
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  • moving body, the generalized rotations can be divided into two groups (here x, y and z refer to the non-orthogonal moving frame): Generalized Euler rotations...
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  • and the Meixner process. Aside from Brownian motion with drift, all other proper (that is, not deterministic) Lévy processes have discontinuous paths. All...
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  • T-\lambda } a proper dense subset of the space; a residual spectrum, consisting of all other scalars in the spectrum. This decomposition is relevant to...
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  • quotients are simple and serves as a replacement of the direct sum decomposition of M into its simple constituents. A composition series may not exist...
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  • the proper rotation from H to the proper element from M. Because of this, the paradoxical decomposition of H yields a paradoxical decomposition of S2...
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  • normal form and therefore admits a basis of generalized eigenvectors and a decomposition into generalized eigenspaces. In the Hermitian case, eigenvalues...
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  • Thumbnail for Commutative algebra
    _{i=1}^{k}P_{i}} is decomposition of I with Rad(Pi) ≠ Rad(Pj) for i ≠ j, and both decompositions of I are irredundant (meaning that no proper subset of either...
    17 KB (2,025 words) - 19:22, 15 December 2024
  • variable, distribution of a function of a random variable Functional decomposition Functional square root Functional equation Higher-order function Infinite...
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  • Generalizability theory Generalized additive model Generalized additive model for location, scale and shape Generalized beta distribution Generalized...
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  • Thumbnail for Pentagonal number
    pentagonal number. For generalized pentagonal numbers, it is sufficient to just check if 24x + 1 is a perfect square. For non-generalized pentagonal numbers...
    10 KB (1,264 words) - 21:41, 10 July 2025