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Modal algebra. In algebra and logic, a modal algebra is a structure such that. is a Boolean algebra, is a unary operation on A satisfying and for all x, y in A. Modal algebras provide models of propositional modal logics in the same way as Boolean algebras are models of classical logic. In particular, the variety of all modal algebras is the ...
Mode (user interface) In user interface design, a mode is a distinct setting within a computer program or any physical machine interface, in which the same user input will produce perceived results different from those that it would in other settings. Modal interface components include the Caps lock and Insert keys on the standard computer ...
A generalized modal matrix for is an n × n matrix whose columns, considered as vectors, form a canonical basis for and appear in according to the following rules: All Jordan chains consisting of one vector (that is, one vector in length) appear in the first columns of. M {\displaystyle M} . All vectors of one chain appear together in adjacent ...
In user interface design for computer applications, a modal window is a graphical control element subordinate to an application's main window . A modal window creates a mode that disables user interaction with the main window but keeps it visible, with the modal window as a child window in front of it. Users must interact with the modal window ...
Mode (statistics) 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=argmaxxi P (X = xi) ). In other words, it is the value that is most likely to be sampled.
Adding 4 hours to 9 o'clock gives 1 o'clock, since 13 is congruent to 1 modulo 12. 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 ...
Possible worlds are widely used as a formal device in logic, philosophy, and linguistics in order to provide a semantics for intensional and modal logic. Their metaphysical status has been a subject of controversy in philosophy , with modal realists such as David Lewis arguing that they are literally existing alternate realities, and others ...
In category theory, a branch of mathematics, a monad is a triple (,,) consisting of a functor T from a category to itself and two natural transformations, that satisfy the conditions like associativity.