Laplace Problems for Regular Lattices with an Even Number of Different Obstacles
نویسندگان
چکیده
منابع مشابه
A strange property of lattices with an even number of sites
By examining the behaviour of the “SLAC” lattice derivative operators, it is found that lattices with an even number of sites have a somewhat strange self-consistency requirement for extra structure in the spatial derivative operator, which is not needed by lattices having an odd number of sites, and which is not at all obvious from a firstprinciples derivation. The general implications of this...
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15 صفحه اولThe homology of partitions with an even number of
Let e 2n denote the subposet obtained by selecting even ranks in the partition lattice 2n : We show that the homology of e 2n has dimension (2n)! 2 2n?1 E 2n?1 ; where E 2n?1 is the tangent number. It is thus an integral multiple of both the Genocchi number and an Andr e or simsun number. Using the general theory of rank-selected homology representations developed in Su], we show that, for the ...
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ژورنال
عنوان ژورنال: Sitzungsberichte und Anzeiger der mathematisch-naturwissenschaftlichen Klasse
سال: 2012
ISSN: 0723-791X,1728-0540
DOI: 10.1553/sunda2009_2010ssii_2010_s3