Ed is a discrete mathematician with particular interest in graph theory, random graphs, partially ordered sets, and combinatorics.
Ant routing looks promising, however, for ad hoc mobile networks like those used by the armed forces and civil-protection agencies.Routing, of both bytes and lorries, is what mathematicians call a discrete problem, with a fixed, albeit large, number of solutions.
This concept is critical to physicists and mathematicians working in discrete mathematics, simple groups, and algebraic group theory, to name just a few areas.
After the initial work of Atici and Eloe [4 7], which served to pique mathematicians' interest in discrete fractional calculus, a number of subsequent works have appeared.
For mathematicians, the relation to discrete differential geometry is significant, in particular the integrable system viewpoint.
Out of the drive to understand such phenomena grew the subject of discrete dynamical systems, to which scores of mathematicians contributed in the ensuing decades.
The program allows American students to spend one or two semesters studying combinatorics, algebra, and discrete math in small groups with senior Hungarian mathematicians.
Brentano's rejection of the mathematicians' attempts to construct it in discrete terms is thus hardly surprising.
Fractional difference calculus or discrete fractional calculus is a very new field for mathematicians.
Lately, Carlitz's -Bernoulli numbers have been studied actively by many mathematicians in the field of number theory, discrete mathematics, analysis, mathematical physics, and so on (see [3 18]).
