... the congruence relationship, an important branch of number theory. Computer engineers find these concepts and notations particularly useful in describing operations performed upon numbers in the digital computer. Two integers a and b are said to be... Schaum's Outline of Discrete Mathematics - Page 26by Seymor Lipschutz, Marc Lipson - 1997 - 528 pagesLimited preview - About this book
| Raymond Hill - Computers - 1986 - 268 pages
...arithmetic carried out modulo p. But first we review modular arithmetic in general. Definition Let АИ be a fixed positive integer. Two integers a and b are said to be congruent {modulo m), symbolized by a = b (modm), if a — b is divisible by m, ie if a = km + b for some integer k. We write... | |
| Robert M. Young - Mathematics - 1992 - 436 pages
...of integers. In so doing he created a new branch of number theory called the theory of congruences. Let m be a fixed positive integer. Two integers a and b whose difference a - b is divisible by m are said to be congruent with respect to the modulus m, or... | |
| Harry Pollard, Harold G. Diamond - Mathematics - 1998 - 196 pages
...2. Congruences. In this section we deal only with rational integers. Let m be an integer not zero. Two integers a and b are said to be congruent modulo m, written asb (mod m) or a = b (т) , if m ] (a — b) . If a and b are not congruent mod m we write a ^ b (m)... | |
| Shrisha Rao - Computers - 2008 - 605 pages
...some definitions and basic properties from [3]. Let Z be the set of integers and -ft' be a strictly positive integer. Two integers a and b are said to be congruent modulo K, denoted by a = b[K] if and only if 3A e Z, b = a + \K. Denote a the unique element in [0, K —... | |
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