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