Informasjon om | Engelsk ordet DECOMPOSITIONS

Eksempler på bruk av DECOMPOSITIONS i en setning

• Some theories further generalize the idea to include such objects as unbounded apeirotopes and tessellations, decompositions or tilings of curved manifolds including spherical polyhedra, and set-theoretic abstract polytopes.
• Although such a decomposition is not unique, the parity of the number of transpositions in all decompositions is the same, implying that the sign of a permutation is well-defined.
• Treewidth may also be defined from other structures than tree decompositions, including chordal graphs, brambles, and havens.
• Morse theory allows one to find CW structures and handle decompositions on manifolds and to obtain substantial information about their homology.
• For general rings, elements idempotent under multiplication are involved in decompositions of modules, and connected to homological properties of the ring.
• In mathematics, combinatorial topology was an older name for algebraic topology, dating from the time when topological invariants of spaces (for example the Betti numbers) were regarded as derived from combinatorial decompositions of spaces, such as decomposition into simplicial complexes.
• Householder transformations are widely used in numerical linear algebra, for example, to annihilate the entries below the main diagonal of a matrix, to perform QR decompositions and in the first step of the QR algorithm.
• Branch-decomposition, a hierarchical clustering of the edges of a graph, and branchwidth, a graph parameter defined from these decompositions.
• We can find useful decompositions of the squared Mahalanobis distance that help to explain some reasons for the outlyingness of multivariate observations and also provide a graphical tool for identifying outliers.
• Assuming smoothness the existence of a Heegaard splitting also follows from the work of Smale about handle decompositions from Morse theory.
• The expression is non-unique: the manipulation of handlebody decompositions is an essential ingredient of the proof of the Smale h-cobordism theorem, and its generalization to the s-cobordism theorem.
• It has equally found applications to estimate the spectral decompositions of linear operators when the eigenfunctions are parameterized with a linear model, i.
• The net reaction can be an endothermic process, or in the case of spontaneous decompositions, an exothermic process.
• The pathwidth of a graph has a very similar definition to treewidth via tree decompositions, but is restricted to tree decompositions in which the underlying tree of the decomposition is a path graph.
• Generalized hypertree decompositions are defined like hypertree decompositions, but the last requirement is dropped; this is the condition "the variables of the constraints of a node that are not variables of the node do not occur in the subtree rooted at the node".
• Bidiagonalization is one of unitary (orthogonal) matrix decompositions such that U* A V = B, where U and V are unitary (orthogonal) matrices; * denotes Hermitian transpose; and B is upper bidiagonal.
• Alternatively, a closed matrix formulation of the algorithm for the simultaneous rotation of the EOFs by iterative SVD decompositions has been proposed (Portes and Aguirre, 2016).
• In the area of artificial intelligence, he is best known for his influential early work on the complexity of nonmonotonic logics and on (generalised) hypertree decompositions, a framework for obtaining tractable structural classes of constraint satisfaction problems, and a generalisation of the notion of tree decomposition from graph theory.
• This enables users to sidestep spectral pollution (spurious modes), verify Koopman mode decompositions and learned dictionaries, and compute continuous spectra.
• The thesis of Robert Remak (1911) derived the same uniqueness result as Wedderburn but also proved (in modern terminology) that the group of central automorphisms acts transitively on the set of direct decompositions of maximum length of a finite group.

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