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In computing and mathematics, the modulo operation returns the remainder or signed remainder of a division, after one number is divided by another, the...

+ r0 is any nonzero polynomial modulo 2 with at most t nonzero coefficients, then R(x) is not a multiple of P(x) modulo 2. If follows that the corresponding...

(11 minus the remainder of the sum of the products modulo 11) modulo 11. Taking the remainder modulo 11 a second time accounts for the possibility that...

The triple of primes (13, 61, 937) are linked modulo 2 (the Rédei symbol is −1) but are pairwise unlinked modulo 2 (the Legendre symbols are all 1). Therefore...

modulo a prime number p, then this root can be lifted to a unique root modulo any higher power of p. More generally, if a polynomial factors modulo p...

arithmetic that gives conditions for the solvability of quadratic equations modulo prime numbers. Due to its subtlety, it has many formulations, but the most...

argument (product in the above example) to the function. Tail recursion modulo cons is a generalization of tail-recursion optimization introduced by David...

multiplicative order of p modulo n. In particular, Φ n {\displaystyle \Phi _{n}} is irreducible if and only if p is a primitive root modulo n, that is, p does...

cost of eliminating "modulo bias" when generating random integers for a Fisher-Yates shuffle depends on the approach (classic modulo, floating-point multiplication...

Global scheduling: instructions can move across basic block boundaries. Modulo scheduling: an algorithm for generating software pipelining, which is a...

an upper bound for the least quadratic non-residue modulo N. Character sums are often closely linked to exponential sums by the Gauss sums (this is like...

this algorithm) Add up all these products The check digit is the sum modulo 11 modulo 10. Energy accounting software Meter operator Mains electricity Distribution...

division in the ring of polynomials over GF(2) (the finite field of integers modulo 2). That is, the set of polynomials where each coefficient is either zero...

Other names for this function are: Not equal (NEQ), modulo 2 addition (without 'carry') and modulo 2 subtraction (without 'borrow'). Vernam's cipher is...

reduced modulo 103. The remainder is then converted back to one of the 103 non-delimiter symbols (following the instructions given below[invalid link, clarification...

week, so the numbers in the sequence can be taken modulo 7. Then the number of days in a month modulo 7 (still starting with January) would be {3, 0/1...

degrees less than d, with the "multiplication modulo p" as a multiplication, the multiplication modulo p consisting of the remainder under the division...

worth zero; aces are worth one point; jokers are not used. Hands are valued modulo 10; i.e., according to the units digit of the sum of their constituent cards...

advantage and efficiency advantage for computing modulo to one period. Computing modulo 1 turn or modulo 2 half-turns can be losslessly and efficiently...

arithmetic modulo a positive integer n consists of "approximating" every integer by the remainder of its division by n, called its residue modulo n. The main...