In this paper, we give the definition of the generalized Ramond N = 2 superconformal algebras and discuss the derivation algebra and the automorphism group.

Abstract This paper studies the relativistic angular momentum for generalized electromagnetic field, described by r -vectors in ( k , n ) space-time dimensions, with exterior-algebraic methods. First, angular-momentum tensor is derived from invariance of Lagrangian to rotations (Lorentz transformations), avoiding explicit need canonical Noether’s theorem. The derivation proves conservation law ...

I reproduce a rather simple formal derivation of the Heaps’ law from the generalized Zipf’s law, which I previously published in Russian [7].

This note details the derivation of the generalized advective-diffusive equation system for the 2D space-time incompressible Navier-Stokes governing equations, in conservation form.

A new derivation is given of Branson’s factorization formula for the conformally invariant operator on the sphere whose principal part is the k-th power of the scalar Laplacian. The derivation deduces Branson’s formula from knowledge of the corresponding conformally invariant operator on Euclidean space (the k-th power of the Euclidean Laplacian) via conjugation by the stereographic projection ...

In this paper we investigate the use of the concept of tree dimension in Horn clause analysis and verification. The dimension of a tree is a measure of its non-linearity – for example a list of any length has dimension zero while a complete binary tree has dimension equal to its height. We apply this concept to trees corresponding to Horn clause derivations. A given set of Horn clauses P can be...

In this paper, motivated by the study of the wide diameter and the Rabin number of graphs, we define the generalized k-diameter of k-connected graphs, and show that every k-regular k-connected graph on n vertices has the generalized k-diameter at most n/2 and this upper bound cannot be improved when n = 4k − 6 + i(2k − 4).

We give an alternative derivation of two Painlevé hierarchies. This is done by constructing generalized scaling reductions of the Korteweg-de Vries and dispersive water wave hierarchies. We also construct a generalized scaling reduction of Burgers hierarchy. Corresponding author: P. R. Gordoa. Tel: +34 91 4888243; Fax: +34 91 488 7338; email: [email protected]

‎In this paper‎, ‎we investigate the number of 1-factors of a‎ ‎generalized Petersen graph $P(N,k)$ and get a lower bound for the‎ ‎number of 1-factors of $P(N,k)$ as $k$ is odd‎, ‎which shows that the‎ ‎number of 1-factors of $P(N,k)$ is exponential in this case and‎ ‎confirms a conjecture due to Lovász and Plummer (Ann‎. ‎New York Acad‎. ‎Sci‎. ‎576(2006)‎, ‎no‎. ‎1‎, ‎389-398).

We consider the valued field K := R((Γ)) of formal series (with real coefficients and monomials in a totally ordered multiplicative group Γ ). We investigate how to endow K with a logarithm l, which satisfies some natural properties such as commuting with infinite products of monomials. In [KM10], we studied derivations on K. Here, we investigate compatibility conditions between the logarithm a...