Mackey functors on compact closed categories

We develop and extend the theory of Mackey functors as an application of enriched category theory. We define Mackey functors on a lextensive category \E and investigate the properties of the category of Mackey functors on \E. We show that it is a monoidal category and the monoids are Green functors. Mackey functors are seen as providing a setting in which mere numerical equations occurring in the theory of groups can be given a structural foundation. We obtain an explicit description of the objects of the Cauchy completion of a monoidal functor and apply this to examine Morita equivalence of Green functors

The role of Mathematics in Biology

Mathematics plays a key role in many disciplines of science, primarily as a mathematical modeling tool. New innovations and developments in physics are by the influence of mathematics. Calculus was invented entirely for the use of physics. The importance of the role of mathematics in physics is understood by the existing discipline “mathematical physics” or "theoretical physics". One can think is mathematics has that same important role or even lesser important role in the field of biology and is mathematics and biology could possibly have anything in common. Even though physics and biology are very different sciences, mathematicians and biologists developed the "mathematical biology" or "biomathematics" as a recent discipline for the mathematical representation in biology to the theoretical and practical applications in biological, biomedical and biotechnology researches. In this paper we study the role played by mathematics in biology and analysis weather a considerable amount of mathematics courses need to be teach for biological science graduates

Adjustable word edges and weight-sensitive stress

In standard Optimality Theoretic analyses of weight-sensitive stress, no consideration is given to thepossibility that languages may reposition the edges of the prosodic word in order to avoid violations ofconstraints related to syllable weight. I propose that this underexplored prediction is borne out in Karuk (isolate, California) and Majhi Punjabi (Indo-Aryan)