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

starts over at zero when it reaches 12. We say that 15 is congruent to 3 modulo 12, written 15 ≡ 3 (mod 12), so that 7 + 8 ≡ 3 (mod 12). Similarly, 8:00...

In mathematics, the term modulo ("with respect to a modulus of", the Latin ablative of modulus which itself means "a small measure") is often used to assert...

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Look up modulo in Wiktionary, the free dictionary. Modulo is a division operation with a remainder as result. Modulo may also refer to: Modulo (mathematics)...

a primitive root modulo n if every number a coprime to n is congruent to a power of g modulo n. That is, g is a primitive root modulo n if for every integer...

Módulo is a Brazilian company with international operations specializing in technology for Governance, Risk and Compliance. It operates in areas of software...

theory, an integer q is called a quadratic residue modulo n if it is congruent to a perfect square modulo n; i.e., if there exists an integer x such that:...

non-negative integers form a group under multiplication modulo n, called the multiplicative group of integers modulo n. Equivalently, the elements of this group can...

(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...

measure of elastic stiffness Young's modulus, a specific elastic modulus Modulo operation (a % b, mod(a, b), etc.), in both math and programming languages;...

number theory, a kth root of unity modulo n for positive integers k, n ≥ 2, is a root of unity in the ring of integers modulo n; that is, a solution x to the...

a3, ...) of real numbers is said to be equidistributed modulo 1 or uniformly distributed modulo 1 if the sequence of the fractional parts of an, denoted...

remainder after dividing ax by the integer m is 1. If a does have an inverse modulo m, then there are an infinite number of solutions of this congruence, which...

In computer science and mathematical logic, satisfiability modulo theories (SMT) is the problem of determining whether a mathematical formula is satisfiable...

reduced residue system modulo n if: gcd(r, n) = 1 for each r in R, R contains φ(n) elements, no two elements of R are congruent modulo n. Here φ denotes Euler's...

informal contexts, mathematicians often use the word modulo (or simply mod) for similar purposes, as in "modulo isomorphism". Consider the seven Tetris pieces...

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number p, the prime field of order p may be constructed as the integers modulo p, Z / p Z {\displaystyle \mathbb {Z} /p\mathbb {Z} } . The elements of...

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π(n), is the period with which the sequence of Fibonacci numbers taken modulo n repeats. Pisano periods are named after Leonardo Pisano, better known...

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...

general, may not be reduced modulo 2). It is then possible to reduce all coefficients modulo 2, which will give a modular form modulo 2. Modular forms are generated...

Modulo-N code is a lossy compression algorithm used to compress correlated data sources using modular arithmetic. When applied to two nodes in a network...

check digit method would be to take the sum of all digits (digital sum) modulo 10. This would catch any single-digit error, as such an error would always...

the division is microprogrammed on nearly all chip architectures. Divide (modulo) by a constant can be inverted to become a multiply by the word-size...

result are stored; the result is said to wrap around the maximum (i.e. modulo a power of the radix, usually two in modern computers, but sometimes ten...

order of a modulo n is the order of a in the multiplicative group of the units in the ring of the integers modulo n. The order of a modulo n is sometimes...

2\\&=0+21+42+40+20+27+10\\&=160\;.\end{aligned}}} The remainder of this sum modulo 11 is then calculated: 160 11 = 14  remainder  6 = 14 + 6 11 {\displaystyle...

n ) {\displaystyle a^{\varphi (n)}} is congruent to 1 {\displaystyle 1} modulo n, where φ {\displaystyle \varphi } denotes Euler's totient function; that...