Search results for "algebra"

One-loop integrals with XLOOPS-GiNaC

2001

We present a new algorithm for the reduction of one-loop tensor Feynman integrals within the framework of the XLOOPS project, covering both mathematical and programming aspects. The new algorithm supplies a clean way to reduce the one-loop one-, two- and three-point Feynman integrals with arbitrary tensor rank and powers of the propagators to a basis of simple integrals. We also present a new method of coding XLOOPS in C++ using the GiNaC library.

Generalized Weyl's theorem and quasi-affinity

2010

Statistical Mechanics of the sine-Gorden Field: Part II

1985

From the work of the Part I we are now in a position to address ourselves to the main problem posed in these lectures — the evaluation of Z, (1.11), for the s-G field after canonical transformation to the action-angle variables (4.27).

Group Actions and Asymptotic Behavior of Graded Polynomial Identities

2002

Analytic curves in power series rings

1990

Notes on certain p-valent functions

2019

Abstract Let Ap be the class of functions f(z) which are analytic in the open unit disk U. Applying some subordinations for functions, some interesting properties for f(z) ∈Ap are showed. Our results are generalizations for results given before.

Basic Measure Theory

2020

In this chapter, we lay the measure theoretic foundations of probability theory. We introduce the classes of sets (semirings, rings, algebras, σ-algebras) that allow for a systematic treatment of events and random observations. Using the measure extension theorem, we construct measures, in particular probability measures on σ-algebras. Finally, we define random variables as measurable maps and study the σ-algebras generated by certain maps.

Orthogonal functions analysis of singular systems with impulsive responses

1990

Presents a systematic study using piecewise-constant orthogonal functions for the analysis of impulsive responses of singular systems. Walsh and block-pulse functions solutions are examined.

G. Birkhoff's theorems for M -solid varieties

1998

Our aim is to prove two Birkhoff's like theorems for M-solid varieties of algebras, invented in [10], [11], generalizing some results of [5]. They have been presented on the Fifth Mathematical Conference "Workshop 97" at Gronow, Poland on June 27, 1997.

Groups with exactly one irreducible character of degree divisible byp

2014

Let [math] be a prime. We characterize those finite groups which have precisely one irreducible character of degree divisible by [math] .