Titlebook: Numbers, Information and Complexity; Ingo Althöfer,Ning Cai,Zhen Zhang Book 2000 Springer Science+Business Media New York 2000 Symbol.code

背书

Splitting Properties in Partially Ordered Sets and Set Systemsnt subsets .. and .., such that the union of the upset of .. with the downset of .. yields the entire poset: .(..) ∪ .(..) = ...Under suitable denseness assumptions we establish splitting properties in great generality for infinite posets, directed graphs and set systems. We show also that for count

abnegate

Old and New Results for the Weighted t-Intersection Problem via AK-Methodseveral weight functions, the numbers .. (., .; .) can be determined using three important methods of Ahlswede and Khachatrian: Generating Sets [2], Comparison Lemma [4], and Pushing—Pulling [3]. We survey these methods..Also, sufficient conditions on . for the equality.are presented which simplify t

尖牙

箴言

Minimizing the Absolute Upper Shadow this note is to give an exact solution to this question. Curiously, the extremal sets turn out not to form a nested nestedfamily..Our main tool is an inequality concerning the colex ordering that may be of independent interest.

Cabg318

The Cycle Method and Its Limitssections of the members of the family is assumed. If these intersections have to be at least 2, the method fails: the celebrated Complete Intersection Theorem by Ahlswede and Khachatrian cannot be proved by this method. We show the reasons and some attempts to overcome the difficulties.

Amorous

Extremal Problems on Δ-Systemsction of any two sets is the same). In 1960, P. Erdös and R. Rado started studying the maximum size of a .uniform hypergraph not containing a Δ-system of a given size. The aim of the present article is to survey the progress and state of art in this and related problems.

袋鼠

MEAN

Rudolf Ahlswede,Levon H. Khachatrianthe equilibrium pressures and temperatures and the nature and chemical composition of phases - volved mineralogical and petrological processes. Simple chemical model systems, which are often studied in the laboratory in order to understand more complicated natural systems, generally consist of few c

ARENA

Christian Bey,Konrad Engelthe equilibrium pressures and temperatures and the nature and chemical composition of phases - volved mineralogical and petrological processes. Simple chemical model systems, which are often studied in the laboratory in order to understand more complicated natural systems, generally consist of few c

Estimable