Results 281 to 290 of about 627,302 (299)
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On the Decomposition of Graphs
SIAM Journal on Algebraic Discrete Methods, 1981In this paper, we study the decompositions of a graph G into edge-disjoint subgraphs all of which belong to a specified class of graphs $\mathcal{H}$. Let $\alpha (G;\mathcal{H})$ denote the minimum value of the total sum of the sizes of subgraphs in $\mathcal{H}$ into which G can be decomposed, taken over all such decompositions of G.
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Journal of the London Mathematical Society, 1988
It is known [see \textit{S. Wagon}, Can. Math. Bull. 26, 337-340 (1983; Zbl 0486.51013)] that a ball in \({\mathbb{R}}^ n \)cannot be decomposed into m sets (2\(\leq m\leq n)\) that are mutually isometric under rotations and translations of \({\mathbb{R}}^ n.\) The author of the present paper considers some related problems concerning decompositions of
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It is known [see \textit{S. Wagon}, Can. Math. Bull. 26, 337-340 (1983; Zbl 0486.51013)] that a ball in \({\mathbb{R}}^ n \)cannot be decomposed into m sets (2\(\leq m\leq n)\) that are mutually isometric under rotations and translations of \({\mathbb{R}}^ n.\) The author of the present paper considers some related problems concerning decompositions of
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A Decomposition of Irresoluteness
Acta Mathematica Hungarica, 1997A (strictly) weaker form of irresoluteness (called strongly simple continuity) is provided which, together with pre-sg-continuity, gives irresoluteness. This completes a result due to \textit{T. Noiri} [ibid. 65, No. 3, 305-311 (1994; Zbl 0858.54019)].
Dontchev, J., Ganster, M.
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On Decomposition of Generators
SIAM Journal on Control and Optimization, 1978Let $\mathcal{A}$ be the infinitesimal generator of a strongly continuous semigroup on a Banach space $\mathcal{E}$. Two classes of bounded operators $\mathcal{P}$ on $\mathcal{E}$ are introduced for which the operators $\mathcal{A}\mathcal{P}$ and $\mathcal{P}\mathcal{A}$ also generate semigroups on $\mathcal{E}$.
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2004
Abstract This chapter discusses parallel dense matrix computations, in particular the solution of linear systems by LU decomposition with partial row pivoting. It first presents a general Cartesian scheme for the distribution of matrices.
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Abstract This chapter discusses parallel dense matrix computations, in particular the solution of linear systems by LU decomposition with partial row pivoting. It first presents a general Cartesian scheme for the distribution of matrices.
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The decomposition of sociology
Academic Questions, 1992Abstract The purpose of this opening chapter is to describe and explain an anomaly: in a period when the fields of social science—from the policy sciences to social planning, from public administration to demography—are expanding, one area, sociology, with a distinguished lineage and tradition, is suffering hard times.
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Polar Decomposition And Gauss Decomposition
1994Abstract Every real positive definite symmetric matrix x can be diagonalized, that is, there exist an orthogonal matrix u and a positive diagonal matrix d such that x = udu′. This gives a decomposition of x which we call the polar decomposition because of its similarity to polar coordinates in the plane. Another decomposition of x is the
Jacques Faraut, Adam Korányi
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On the Decomposition of Groups
Canadian Journal of Mathematics, 1969The problem in which we are interested is the following. Call an additively written group G finitely decomposable if G = Σ Gi is the weak sum of finite groups Gi, Consider the following property.Property P. Each subgroup of G having cardinality less than G is contained in a finitely decomposable direct summand of G.Does Property P imply that G is ...
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Canadian Mathematical Bulletin, 1975
Borsuk has asked whether there exists for each compact metric absolute neighbourhood retract X an integer l (depending only on X) with the property that if X is homotopy equivalent to a cartesian product of more than l spaces than at least one of these spaces is contractible. The answer to this question is still not known.
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Borsuk has asked whether there exists for each compact metric absolute neighbourhood retract X an integer l (depending only on X) with the property that if X is homotopy equivalent to a cartesian product of more than l spaces than at least one of these spaces is contractible. The answer to this question is still not known.
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