On problems of our mathematical workplaces

Our Problems: Our Solutions

Discussion on the unique characteristics of psychiatry in a non-Western country like India, often tend to be limited to culture-bound syndrome like Koro, possession state etc. It is, no doubt, important for us to be able to recognize these problems and render effective treatment to individuals suffering from them. It is also interesting to speculate on the cultural factors which contribute to t...

On some spectral problems of mathematical physics

The article contains a brief survey of some spectral problems of mathematical physics that have been arising recently in optics, mesoscopic systems, quantum chaos, and other areas. In particular, problems of photonic crystal theory, waveguides, and quantum graphs are addressed. This text is a modified version of the lectures delivered at the Pan-American Advanced Studies Institute (PASI) on Par...

A Metaphorical Chart of Our Mathematical Ontology

A new paradigm is emerging in fundamental physics. We know this because there is so much controversy about what is valid science, but what is the true nature of the new thinking? It may be too early to give a full answer but I think that an important part of it is in the way that we understand the vacuum and how it relates to particle physics. Thirty years ago all physicists would have assumed ...

Recent Mathematical Results on Hyperbolic Relaxation Problems

Generating Mathematical Word Problems

This paper describes a prototype system that generates mathematical word problems from ontologies in unrestricted domains. It builds on an existing ontology verbaliser that renders logical statements written in Web Ontology Language (OWL) as English sentences. This kind of question is more complex than those normally attempted by question generation systems, since mathematical word problems con...