In most cases authors are permitted to post their version of the article (e.g. in Word or Tex form) to their personal website or institutional repository. Authors requiring further information regarding Elsevier's archiving and manuscript policies are encouraged to visit: a b s t r a c t A molecular motor utilizes chemical free energy to generate a unidirectional motion in a viscous media. The ...

Multi-word lexical units are a typical feature of specialized dictionaries, in particular monolingual and bilingual maritime dictionaries. The paper studies the concept of the multi-word lexical unit and considers the similarities and differences of their selection and presentation in monolingual and bilingual maritime dictionaries. The work analyses such issues as the classification of multi-w...

This paper deals with a numerical method for the solution of the heat equation with nonlinear nonlocal boundary conditions. Here nonlinear terms are approximated by Richtmyer’s linearization method. The integrals in the boundary equations are approximated by the composite Simpson rule. A difference scheme is considered for the one-dimensional heat equation. In final part, the numerical results ...

Using the theory developped by Olga Kharlampovich, Alexei Mias-nikov, and independently by Zlil Sela to describe the set of homomor-phisms of a f.g. group G into a free group F , we describe the solutions to equations with coefficients from F and unknowns x, y of the form w(x, y) = u, where u lies in F and w(x, y) is a word in {x, y} ±1 .

Penney-Ante is the name of a (probabilistic) game with pennies invented by Walter Penney. Analysis of the game depends on a collection of simultaneous (nonlinear) equations in languages. In all the publications I am aware of, the equations are complicated by the introduction of generating functions detailing lengths of words. This document records a proof in which the unnecessary naming of word...