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841.
Self-dual codes over exist for all even lengths. The smallest length for which the largest minimum weight among self-dual codes has not been determined
is 24, and the largest minimum weight is either 9 or 10. In this note, we show that there exists no self-dual [24, 12, 10]
code over , using the classification of 24-dimensional odd unimodular lattices due to Borcherds.
相似文献
842.
Marcel Erné 《Mathematical Logic Quarterly》2009,55(6):572-586
We compare diverse degrees of compactness and finiteness in Boolean algebras with each other and investigate the influence of weak choice principles. Our arguments rely on a discussion of infinitary distributive laws and generalized prime elements in Boolean algebras. In ZF set theory without choice, a Boolean algebra is Dedekind finite if and only if it satisfies the ascending chain condition. The Denumerable Subset Axiom (DS) implies finiteness of Boolean algebras with compact top, whereas the converse fails in ZF. Moreover, we derive from DS the atomicity of continuous Boolean algebras. Some of the results extend to more general structures like pseudocomplemented semilattices (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
843.
S. P. Popov 《Computational Mathematics and Mathematical Physics》2009,49(2):314-322
The Toda lattice and the discrete Korteweg-de Vries equation generalized to two dimensions are studied numerically. The interactions are assumed to be identical in both directions. It is shown that the equations have solutions in the form of plane linear and localized solitons. In contrast to equations integrable by the inverse scattering method, the parameters of solitons change in the course of their interaction and additional wave structures are formed. The basic types of solutions characterizing these processes are presented. 相似文献
844.
给出了纯正半群S的强同余格上同余T的一些判别性质,证明了S上所有基础强同余所构成的集合FCP(S)是CP(S)的完备子格,最后讨论了由纯正半群的正规子半群决定的交完备子格的结构及由“求核”运算确定的(交完备格)同余K的若干性质,还顺带讨论了群同余格. 相似文献
845.
We consider the asymptotic behavior of solutions of an infinite lattice dynamical system of dissipative Zakharov equation. By introducing new weight inner product and norm in the space and establishing uniform estimate on "Tail End" of solutions, we overcome some difficulties caused by the lack of Sobolev compact embedding under infinite lattice system, and prove the existence of the global attractor; then by using element decomposition and the covering property of a polyhedron in the finite-dimensional space, we obtain an upper bound for the Kolmogorov ε-entropy of the global attractor; finally, we present the upper semicontinuity of the global attractor. 相似文献
846.
We survey a great number of results obtained during four decades of investigations on lattices of semigroup varieties and formulate several open problems. 相似文献
847.
Let E be a Banach lattice and L1(μ, E) be the space of E-valued Bochner integrable functions. Some order properties of L1(μ, E) are given. It is shown that Ls∞(μ, Z(E)) is the ideal centre of L1(μ, E) and it is obtained a Radon-Nikodym type theorem for B -integrable functions.
相似文献
849.
Christopher P. Roy 《Journal of organometallic chemistry》2006,691(10):2270-2276
[Ir(COD)(PMe3)3]Cl, 1, reacts with amino acids in water to yield cationic hydride amino acid complexes, [Ir(aa)(H)(PMe3)3]Cl, 2. In general, complexes 2 display octahedral geometry with a meridional arrangement of the PMe3 ligands, with the amino acid chelating through O and N and with hydride trans to N. Disubstituted amino acids on the other hand favor the formation of octahedral complexes with a facial arrangement of PMe3 ligands. The crystal structure of the valine complex, 2c, was obtained and, in addition to confirming the structure of the complex, showed a helical extended lattice structure due to intermolecular N-H-O bonding. 相似文献
850.
Tripod-scheme cold atoms interacting with laser beams have attracted considerable interest for their role in synthesizing effective non-Abelian vector potentials. Such effective vector potentials can be exploited to realize an all-optical imprinting of geometric phases onto matter waves. By working on carefully designed extensions of our previous work, we show that coherent lattice structure of cold-atom sub-wavepackets can be formed and that the non-Abelian Aharonov-Bohm effect can be easily manifested via the translational motion of cold atoms. We also show that by changing the frame of reference, effects due to a non-Abelian vector potential may be connected with a simple dynamical phase effect, and that under certain conditions it can be understood as an Abelian geometric phase in a different frame of reference. Results should help design better schemes for the control of cold-atom matter waves. 相似文献