One of the basic results in extremal set theory was discovered in [1] and rediscovered in [2]: For a given number of k-element subsets of an n-set the shadow, that is, the set of ( k 1)-element subsets contained in at least one of the specified k-element subsets, is minimal, if the k-element subsets are chosen as an initial segment in the squashed order (see [10]; called colex order in [liD, th...

We survey the use of club guessing and other pcf constructs in the context of showing that a given partially ordered class of objects does not have a largest, or a universal element. 1 0 Introduction A natural problem in mathematics is the following: given some partially ordered or a quasi-ordered set or a class, is there the largest element in it. An aspect of this question appears in the theo...

In the past, model order reduction techniques have been successfully employed for 3-D PEEC interconnect models. This paper explores the diiculties in generating low order models when PEEC-like models include volume laments to accurately capture skin and proximity eeects.

in this study, focuses on applying the hp-version for forward modeling. the eit forward solver is normally based on the conventional finite element method (hfem). in h-fem, the polynomial order p of the element shape functions is constant and the element size h, is decreased. to accurately simulate the forward solution with the hfem, a mesh with large number of nodes and elements is usually need...