we investigate compact composition operators on ceratin lipschitzspaces of analytic functions on the closed unit disc of the plane.our approach also leads to some results about compositionoperators on zygmund type spaces.

We study Bertrand’s duopoly of incomplete information. It is found that the effect of quantum entanglement on the outcome of the game is dramatically changed by the uncertainty of information. In contrast with the case of complete information where the outcome increases with entanglement, when information is incomplete the outcome is maximized at some finite entanglement. As a consequence, info...

An early three-volume technical work written with A. N. Whitehead sought to prove that the fields of mathematics could be derived from logic. The anecdote is told by G. H. Hardy 1 where Russell reported he dreamed that Principia Mathematica, his three-volume massive study, was being weeded out by a student assistant from library shelves two centuries hence. About the work.. .. In the chapter "T...

the study of philosophers’ educational ideas and thought is one of the common research interested in the area of educational philosophy and is an introduction to their critiques. in this article, through an analytic- descriptive method, russell’s philosophical reflections are introduced and the educational viewpoints of this outstanding philosopher and mathematician of twentieth century are exa...

The thesis studies sellers’ pricing and learning behaviour in Bertrand oligopoly markets using a bounded rational approach. It consists of four chapters. Chapter 1 develops a quantal response adaptive learning model which combines sellers’ bounded rationality with adaptive belief learning in order to explain price dispersion and dynamics in laboratory Bertrand markets with perfect information. ...

Bertrand Russell (1872-1970): How dare we speak of the laws of chance? Is not chance the antithesis of all law? Calcul des probabilit es.

We present Ramanujan’s proof of Bertrand’s postulate and in the process, eliminate his use of Stirling’s formula. The revised proof is elegant and elementary so as to be accessible to a wider audience.