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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 computing, the modulo operation returns the remainder or signed remainder of a division, after one number is divided by another, called the modulus of the operation.. Given two positive numbers a and n, a modulo n (often abbreviated as a mod n) is the remainder of the Euclidean division of a by n, where a is the dividend and n is the divisor.
In probability theory and statistics, a normal distribution or Gaussian distribution is a type of continuous probability distribution for a real-valued random variable.The general form of its probability density function is [2] [3] = ().
In the mensural notation that emerged later, modus specifies the subdivision of the longa. Outside of Western classical music , "mode" is sometimes used to embrace similar concepts such as Octoechos , maqam , pathet etc. (see § Analogues in different musical traditions below).
In statistics, the mode is the value that appears most often in a set of data values. [1] If X is a discrete random variable, the mode is the value x at which the probability mass function takes its maximum value (i.e., x=argmax x i P(X = x i)).
Modus may refer to: Modus, the Latin name for grammatical mood, in linguistics; Modus, the Latin name for mode (statistics) Modus (company), an Alberta-based company; Modus (medieval music), a term used in several different technical meanings in medieval music theory; The Renault Modus, a small car; Modus (band), a pop music band in former ...
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
This is the modus ponens rule of propositional logic. Rules of inference are often formulated as schemata employing metavariables . [ 2 ] In the rule (schema) above, the metavariables A and B can be instantiated to any element of the universe (or sometimes, by convention, a restricted subset such as propositions ) to form an infinite set of ...