Mathematical 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...

Mathematical Problems and Games

I. Logic, Set Theory 1. Variations on Suslin’s problem 2. Generalized Suslin-Visual classes 3. Product space problems 4. Product space mappings 5. Problems for projective algebra a la Ramsey 6. Infinite sequences of O’s and l’s with changes on sets of frequency 0 7. Problems in classes of finite sets a la van der Waerden 8. Internal and external Boolean operations on classes of sets (joint with...

Mathematical Mayhem Mayhem Problems High School Problems

The readers of this article should be familiar with modular arithmetic, and may also recall Sophie Germain's identity. This article deals with an application of the identity in solving the equation 3 + 4 = 5. A word about the identity As the name says, Sophie Germain's identity was rst discovered by Sophie Germain. It reads a 4 + 4b = a + 4ab + 4b 4ab = (a + 2b) 4ab = (a + 2ab+ 2b)(a 2ab+ 2b) ....

Mathematical Framework for Lattice Problems

Abstract. We propose a mathematical framework to effectively study lattice materials with periodic and non-periodic structures over entire spaces in one, two, and three dimensions. The existence and uniqueness of solutions for periodic lattice problems with absolute terms are proved in discrete Sobolev spaces. By Fourier transform discrete lattice problems are converted to semi-discrete problem...

Mathematical Problems for Complex Networks