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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)).
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.
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
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 propositional logic, modus tollens (/ ˈ m oʊ d ə s ˈ t ɒ l ɛ n z /) (MT), also known as modus tollendo tollens (Latin for "mode that by denying denies") [2] and denying the consequent, [3] is a deductive argument form and a rule of inference. Modus tollens is a mixed hypothetical syllogism that takes the form of "If P, then Q. Not Q ...
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 ...
The language of mathematics has a wide vocabulary of specialist and technical terms. It also has a certain amount of jargon: commonly used phrases which are part of the culture of mathematics, rather than of the subject.
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 ...