The Transition from Everyday Definitions to Mathematical Definitions - Gifted Middle School Students' Conceptions of Point and Line definitions -

Mathematical Concepts and Definitions

I Definition and Mathematical Practice The basic observation structuring this survey is that mathematicians often set finding the “right” / “proper” / “correct” / “natural” definition as a research objective, and success finding “the proper” definition can be counted as a significant advance in knowledge. Remarks like these from a retrospective on twentieth century algebraic geometry are common:

A study on the definitions of religion from another view

Constructing cryptographic definitions

This paper mirrors an invited talk to ISCISC 2011. It is not a conventional paper so much as an essay summarizing thoughts on a little-talked-about subject. My goal is to intermix some introspection about definitions with examples of them, these examples drawn mostly from cryptography. Underpinning our discussion are two themes. The first is that definitions are constructed. They are i...

Definitions and Theories of Elder Abuse

Old age is one of the most crucial stages of human development that encompasses the dynamics of biological processes, perception, growth and development and maturity, as a natural process of life. The elderly as one of the vulnerable groups, they face different biological, psychological and social needs. As the population gets older, the elderly will need more support in their daily activities,...

Reformulations in Mathematical Programming: Definitions

The mathematical programming formulation language is a very powerful tool used to formalize optimization problems by means of parameters, decision variables, objective functions and constraints. Such diverse settings as combinatorial, integer, continuous, linear and nonlinear optimization problems can be defined precisely by their corresponding mathematical programming formulations. Its power i...