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The elements of a finite nonempty partially ordered set are exposed at independent uniform times in [0, 1] to a selector who, at any given time, can see the structure of the
Among various partition distributions (i.e., probability distributions on a set of integer partitions), we are concerned in this paper with partition structure, which was introduced
Examples 3.37, 3.39, 3.40 of parametric families of reciprocating functions already appear to rep- resent a wide enough variety. Moreover, Constructions 1–4 given in this
In this article we consider the sample covariance matrix formed from a sequence of indepen- dent and identically distributed random vectors from the generalized domain of attraction
The proof of Theorem 3 is based on Burkholder’s technique, which reduces the problem of proving a martingale inequality to finding a certain spe- cial function.. The description of
Our paper is organized as a sequence of sections each of which is concerned respectively to the tensor product of permutation modules, endo-permutation mod- ules, endo-trivial
(A problem involving nonlinear PDEs is considered solvable if its solution can be obtained by performing algebraic operations – such as finding the zeros of a given polynomial – and
Roughly speaking, the problem consists in finding out the criterion that for an a priori given differential equation there locally exists a Lagrange function, from which this