Search results
Results from the WOW.Com Content Network
Modulo operations might be implemented such that a division with a remainder is calculated each time. For special cases, on some hardware, faster alternatives exist. For example, the modulo of powers of 2 can alternatively be expressed as a bitwise AND operation (assuming x is a positive integer, or using a non-truncating definition):
The syntax of JavaScript is the set of rules that define a correctly structured JavaScript program. The examples below make use of the log function of the console object present in most browsers for standard text output .
Given the Euler's totient function φ(m), any set of φ(m) integers that are relatively prime to m and mutually incongruent under modulus m is called a reduced residue system modulo m. [5] The set {5, 15} from above, for example, is an instance of a reduced residue system modulo 4.
Modulus is the diminutive from the Latin word modus meaning measure or manner. It, or its plural moduli, may refer to the following: Physics, engineering and computing
modulo the type's modulus: raise Constraint_Error: C, C++: modulo power of two: undefined behavior C#: modulo power of 2 in unchecked context; System.OverflowException is raised in checked context [10] Java: modulo power of two (char is the only unsigned primitive type in Java) modulo power of two JavaScript
Modulo is a mathematical jargon that was introduced into mathematics in the book Disquisitiones Arithmeticae by Carl Friedrich Gauss in 1801. [3] Given the integers a, b and n, the expression "a ≡ b (mod n)", pronounced "a is congruent to b modulo n", means that a − b is an integer multiple of n, or equivalently, a and b both share the same remainder when divided by n.
In mathematics, in the field of algebraic number theory, a modulus (plural moduli) (or cycle, [1] or extended ideal [2]) is a formal product of places of a global field (i.e. an algebraic number field or a global function field). It is used to encode ramification data for abelian extensions of a global field.
From the definition of division, it follows that 0 ≤ c < m. For example, given b = 5 , e = 3 and m = 13 , dividing 5 3 = 125 by 13 leaves a remainder of c = 8 . Modular exponentiation can be performed with a negative exponent e by finding the modular multiplicative inverse d of b modulo m using the extended Euclidean algorithm .