Modulo (disambiguation)

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Modulo is a division operation with a remainder as result.

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Modulo may also refer to:

Mathematics and computer science

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<span class="mw-page-title-main">Modular arithmetic</span> Computation modulo a fixed integer

In mathematics, modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" when reaching a certain value, called the modulus. The modern approach to modular arithmetic was developed by Carl Friedrich Gauss in his book Disquisitiones Arithmeticae, published in 1801.

Modulus is the diminutive from the Latin word modus meaning measure or manner. It, or its plural moduli, may refer to the following:

<span class="mw-page-title-main">Linear congruential generator</span> Algorithm for generating pseudo-randomized numbers

A linear congruential generator (LCG) is an algorithm that yields a sequence of pseudo-randomized numbers calculated with a discontinuous piecewise linear equation. The method represents one of the oldest and best-known pseudorandom number generator algorithms. The theory behind them is relatively easy to understand, and they are easily implemented and fast, especially on computer hardware which can provide modular arithmetic by storage-bit truncation.

Mod, MOD or mods may refer to:

In number 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:

In mathematics, a Dirichlet L-series is a function of the form

In mathematics, a primitive root may mean:

Casting out nines is any of three arithmetical procedures:

In modular arithmetic computation, Montgomery modular multiplication, more commonly referred to as Montgomery multiplication, is a method for performing fast modular multiplication. It was introduced in 1985 by the American mathematician Peter L. Montgomery.

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

In mathematics, the term modulo is often used to assert that two distinct mathematical objects can be regarded as equivalent—if their difference is accounted for by an additional factor. It was initially introduced into mathematics in the context of modular arithmetic by Carl Friedrich Gauss in 1801. Since then, the term has gained many meanings—some exact and some imprecise. For the most part, the term often occurs in statements of the form:

<span class="mw-page-title-main">UBASIC</span>

UBASIC is a freeware BASIC interpreter written by Yuji Kida at Rikkyo University in Japan, specialized for mathematical computing.

1+1 is a mathematical expression that evaluates to:

In mathematics, a strong prime is a prime number with certain special properties. The definitions of strong primes are different in cryptography and number theory.

In mathematics, particularly in the area of arithmetic, a modular multiplicative inverse of an integer a is an integer x such that the product ax is congruent to 1 with respect to the modulus m. In the standard notation of modular arithmetic this congruence is written as

The Lehmer random number generator, sometimes also referred to as the Park–Miller random number generator, is a type of linear congruential generator (LCG) that operates in multiplicative group of integers modulo n. The general formula is

In mathematics, in the field of algebraic number theory, a modulus is a formal product of places of a global field. It is used to encode ramification data for abelian extensions of a global field.

In cryptography, Very Smooth Hash (VSH) is a provably secure cryptographic hash function invented in 2005 by Scott Contini, Arjen Lenstra and Ron Steinfeld. Provably secure means that finding collisions is as difficult as some known hard mathematical problem. Unlike other provably secure collision-resistant hashes, VSH is efficient and usable in practice. Asymptotically, it only requires a single multiplication per log(n) message-bits and uses RSA-type arithmetic. Therefore, VSH can be useful in embedded environments where code space is limited.

Parentheses in mathematical equations may refer to:

The ACORN or ″Additive Congruential Random Number″ generators are a robust family of PRNGs for sequences of uniformly distributed pseudo-random numbers, introduced in 1989 and still valid in 2019, thirty years later.