Abstract. We extend Stanley’s work on alternating permutations with extremal number of fixed points in two directions: first, alternating permutations are replaced by permutations with a prescribed descent set; second, instead of simply counting permutations we study their generating polynomials by number of excedances. Several techniques are used: Désarménien’s desarrangement combinatorics, Ge...

Introduction The generalized rank annihilation method (GRAM) is a method for curve resolution and calibration that requires only a single calibration sample to obtain the socalled second-order advantage, i.e., it can determine the analyte of interest in the presence of unsuspected interferences [1]. GRAM is only one of many competing methods that can be applied to this particular data set-up. H...

The combinatorial theory for the set of parity alternating permutations is expounded. In view of the numbers of ascents and inversions, several enumerative aspects of the set are investigated. In particular, it is shown that signed Eulerian numbers have intimate relationships to the set.

The well{founded semantics has been introduced for normal databases (i.e. databases that may have default negation in their rule bodies, but do not have disjunctions). In this paper we propose an extension of the well{founded semantics to the disjunctive case. For this purpose we investigate the alternating xpoint approach of Van Gelder, Ross and Schlipf 16], and develop a suitable generalizati...

we present the basic results on the representation theory of the alternating groups. our approach is based on clifford theory.

introduction abnormal neural impulses in the nervous system may lead to various diseases and disabilities. high frequency alternating currents (hfac) has been used to block the propagation of such impulses and improve the symptoms or disabilities. the technique is safe, reversible, and relatively selective, and its reliability, the optimum stimulation parameters, and elimination of the onset re...

The theory of alternating bilinear forms on finite dimensional vector spaces V is well understood; two forms on V are equivalent if and only if they have equal ranks. The situation for alternating trilinear forms is much harder. This is partly because the number of forms of a given dimension is not independent of the underlying field and so there is no useful canonical description of an alterna...

Based on a group of new Saul’yev type asymmetric difference schemes constructed by author, a high-order, unconditionally stable and parallel alternating segment explicit-implicit method for the numerical solution of the fourth-order heat equation is derived in this paper. The truncation error is fourth-order in space, which is much more accurate than the known alternating segment explicit-impli...