Modulus In Mathematics
It coincide with the graph of identity function y x y x for x 0 x 0 and for x 0 it is a graph of linear function y x y x here at x 0 the graph is turning upward.
Modulus in mathematics. 17 modulo 3 17 3 14 14 3 11 11 3 8 8 3 5 5 3 2. The word modulus has several different meanings in mathematics with respect to complex numbers congruences elliptic integrals quadratic invariants sets etc. It is the base with respect to which a congruence is computed i e m gives the number of multiples of a that are thrown out. If a b mod n and a 1 exists then a 1 b 1 mod n compatibility with multiplicative inverse and if a.
The graph of the modulus function is shown below. There exists an integer denoted a 1 such that aa 1 1 mod n if and only if a is coprime with n. So x 0 is the turning point in this graph. Through definition and example we ll become.
A modulus in mathematics has to do with modular arithmetic also called clock arithmetic.