Results 21 to 30 of about 4,778,088 (249)
Excluded subposets in the Boolean lattice [PDF]
We are looking for the maximum number of subsets of an n-element set not containing 4 distinct subsets satisfying $A ⊂B, C ⊂B, C ⊂D$. It is proved that this number is at least the number of the $\lfloor \frac{n }{ 2}\rfloor$ -element sets times $1+\frac ...
Gyula O.H. Katona
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Analytic solutions of transcendental equations with application to automatics
In the paper the extremal dynamic error x(τ) and the moment of time τ are considered. The extremal value of dynamic error gives information about accuracy of the system. The time τ gives information about velocity of transient.
Górecki Henryk, Zaczyk Mieczysław
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Lupaş-type inequality and applications to Markov-type inequalities in weighted Sobolev spaces
Weighted Sobolev spaces play a main role in the study of Sobolev orthogonal polynomials. In particular, analytic properties of such polynomials have been extensively studied, mainly focused on their asymptotic behavior and the location of their zeros. On
Francisco Marcellán +1 more
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Uniqueness of near-horizon geometries of rotating extremal AdS(4) black holes [PDF]
We consider stationary extremal black hole solutions of the Einstein-Maxwell equations with a negative cosmological constant in four dimensions. We determine all non-static axisymmetric near-horizon geometries and all static near-horizon geometries for ...
Lucietti, James, Kunduri, Hari K.
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On an Extremal Problem for Poset Dimension [PDF]
removed proof of Theorem 3 duplicating previous work; fixed typos and ...
Grzegorz Guspiel +2 more
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Multicoloured extremal problems
Let \({\mathcal A}_1,\dots,{\mathcal A}_k\) be set systems on the finite underlying set \(X\) which are called colours. A finite configuration of subsets of \(X\) with \(f\) elements is multicoloured (for this set of colours) if one can find a listing \(H_1,\dots,H_f\) of the configuration and a permutation \(\pi\) of \(\{1,\dots,k\}\) such that \(H_i\)
Béla Bollobás +2 more
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Asymptotically extremal polynomials with respect to varying weights and application to Sobolev orthogonality [PDF]
9 pages, no figures.-- MSC2000 code: 33C45.MR#: MR2431543 (2009g:41009)Zbl#: Zbl 1155.33006We study the asymptotic behavior of the zeros of a sequence of polynomials whose weighted norms, with respect to a sequence of weight functions, have the same $n ...
Díaz Mendoza, Carlos J. +3 more
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Decomposition method and its application to the extremal problems
In the article solution of the problem of extremal value of x(τ) is presented, for the n-th order linear systems. The extremum of x(τ) is considered as a function of the roots s1, s2, ... sn of the characteristic equation.
Górecki Henryk, Zaczyk Mieczysław
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Extremal problems for completely positive maps
In this note, we study the faces of some convex subsets of CPc(A,B(ℋ))(the continuous completely positive linear maps from pro-C*-algebra A to B(ℋ)).
Mingze Yang
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Several problems in extremal combinatorics
In this thesis, we study several problems from combinatorial probability theory, discrete geometry and extremal graph theory. We establish several extremal results towards our problems.
Zichao Dong (5972447)
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