modular arithmetic
<mathematics> (Or "clock arithmetic") A kind of integer arithmetic that
reduces all numbers to one of a fixed set [0..N1] (this would be "modulo N
arithmetic") by effectively repeatedly adding or subtracting N (the "modulus")
until the result is within this range.
The original mathematical usage considers only _equivalence_ modulo N. The
numbers being compared can take any values, what matters is whether they differ
by a multiple of N. Computing usage however, considers modulo to be an operator
that returns the remainder after integer division of its first argument by its
second.
Ordinary "clock arithmetic" is like modular arithmetic except that the range is
[1..12] whereas modulo 12 would be [0..11].
(20030328)
Nearby terms:
ModulaP « ModulaProlog « Modula/R « modular
arithmetic
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