some arguments against infinite regress in islamic philosophy such as applied proof or argument of ones and thousands are based on the mathematical foundations and preliminaries. extraction and analysis of these preliminaries exposes mathematical nature of these arguments and shows that besides philosophical approach to these arguments should also look at them from perspective of mathematics. a...

One of unsolved problems in quantum measurement theory is to characterize coexistence of quantum effects. In this paper, applying positive operator matrix theory, we give a mathematical characterization of the witness set of coexistence of quantum effects and obtain a series of properties of coexistence. We also devote to characterizing bijective morphisms on quantum effects leaving the witness...

A mathematical model describing the dynamics  of a  delayed  stage structure prey - predator  system  with  prey  refuge  is  considered.  The  existence,  uniqueness  and bounded- ness  of  the  solution  are  discussed.    All  the  feasibl e  equilibrium  points  are determined.  The   stability  analysis  of  them  are  investigated.  By  employ ing  the time delay as the bifurcation parame...

One of the most uninformative statements one could possibly make about mathematics is that the axiomatic method expresses the real nature of mathematics, i.e., that mathematics consists in the deduction of conclusions from given axioms. For the same could be said about several other subjects, for example, about theology. Think of the first part of Spinoza’s Ethica ordine geometrico demonstrata ...

increasing urban network has both positive (accessibility) and negative (air pollution) impacts. in this research air quality is chosen as key elements with respect to their critical roles in quality of life and urban health. the overall objective of this study is to develop a mathematical model to plan appropriate locations for residential land uses and urban transportation network development...

The participants of this Conference run mathematics outreach programmes and mathematics competitions in countries with very diverse educational and cultural traditions. It would be futile to try to seek a single universal solution to educational and methodological problems that we encounter in our work. However, we have one thing in common: we work with mathematically able children. It is likel...

Trichinella spp. is one of the most widespread parasite infecting humans, mammals, and birds all over the world. Despite of the efforts made by public health specialists to control and eradicate it, trichinellosis is considered a re-emerging zoonosis in many areas. Romania is recognized as one of the countries with the highest prevalence of trichinellosis in Europe. With respect to Trichinellai...

this paper examines critically the contributions of cournot, jevons and walras as the founders of classical mathematical economics from a methodological standpoint. advances in different economic schools and doctrines in the 19th century produced an environment of multi-dimensionality in economic analysis which was regarded by the pioneers of classical mathematical economists as a chaotic state...