## Branch Mathematics and Statistics Faculty and Staff Publications

#### Document Type

Book

#### Publication Date

2015

#### Abstract

In this book the notion of MOD functions are defined on MOD planes. This new concept of MOD functions behaves in a very different way. Even very simple functions like y = nx has several zeros in MOD planes where as they are nice single line graphs with only (0, 0) as the only zero. Further polynomials in MOD planes do not in general follows the usual or classical laws of differentiation or integration. Even finding roots of MOD polynomials happens to be very difficult as they do not follow the fundamental theorem of algebra, viz a nth degree polynomial p(x) in MOD plane or MOD intervals do not have n roots for + and × are defined on them, do not satisfy the distributive laws.

#### Publisher

EuropaNova, Brussels

#### ISSN

978-1-59973-364-7

#### Language (ISO)

English

#### Keywords

MOD function, MOD planes, neutrosophic logic

#### Recommended Citation

W.B. Vasantha Kandasamy, K. Ianthenral, F. Smarandache. MOD Functions: A New Approach to Function Theory. Brussels: EuropaNova, 2015

#### Creative Commons License

This work is licensed under a Creative Commons Attribution-Share Alike 4.0 International License.

#### Included in

Algebra Commons, Algebraic Geometry Commons, Analysis Commons, Discrete Mathematics and Combinatorics Commons, Number Theory Commons, Other Mathematics Commons, Set Theory Commons