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3.3] and predicts an explicit formula for the leading term at s = 1 of the zeta-function of a finite Galois extension of number fields L/K in terms of the Euler characteristic of
Recall the standard “walk-around” bijection from full binary trees on 2 n edges to Dyck n -paths: a worm crawls counterclockwise around the tree starting just west of the root and
In cazul aplica ţ iilor uzuale este utilizat un singur calculator server pentru implementarea func ţ iilor sistemului, exploatând caracteristica multitasking pe care o are sistemul
In Section 4 , the notions of filling and degree of a Dyck path are introduced and studied. Various enumeration results are presented. These notions are used in Section 5 for
In this note, we generalize the explicit formulae in [5] for the polar factors of nonsingular real square matrices of order 2, and obtain explicit formulae for polar factors of n − by
In this paper, we investigate the perturbation of the generalized Drazin invertible operators and derive explicit generalized Drazin inverse expressions for the perturbations
An exact general formula for the expected length of the minimal spanning tree (MST) of a connected (possibly with loops and multiple edges) graph whose edges are assigned
The goal of this presentation is to describe some aspects of the new approach to the non- perturbative computations in the supersymmetric extension of the Yang–Mills theory ( N =
