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It is often replaced by the word "or". 2. In lattice theory, denotes the join or least upper bound operation. 3. In topology, denotes the wedge sum of two pointed spaces. ∧ 1. Denotes the logical and, and is read as "and". If E and F are logical predicates, is true if E and F are both true.
An operation of arity zero, called a nullary operation, is simply an element of the codomain Y. An n-ary operation can also be viewed as an (n + 1)-ary relation that is total on its n input domains and unique on its output domain. An n-ary partial operation ω from X n to X is a partial function ω: X n → X.
In logic, a set of symbols is commonly used to express logical representation. The following table lists many common symbols, together with their name, how they should be read out loud, and the related field of mathematics.
The use of multiple representations supports and requires tasks that involve decision-making and other problem-solving skills. [2] [3] [4] The choice of which representation to use, the task of making representations given other representations, and the understanding of how changes in one representation affect others are examples of such mathematically sophisticated activities.
The Unicode Standard encodes almost all standard characters used in mathematics. [1] Unicode Technical Report #25 provides comprehensive information about the character repertoire, their properties, and guidelines for implementation. [1]
In mathematics, Knuth's up-arrow notation is a method of notation for very large integers, introduced by Donald Knuth in 1976. [1]In his 1947 paper, [2] R. L. Goodstein introduced the specific sequence of operations that are now called hyperoperations.
These imprecise uses of the word regular are not to be confused with the notion of a regular topological space, which is rigorously defined. resp. (Respectively) A convention to shorten parallel expositions. "A (resp. B) [has some relationship to] X (resp. Y)" means that A [has some relationship to] X and also that B [has (the same ...
This template's initial visibility currently defaults to expanded, meaning that it is fully visible. To change this template's initial visibility, the |state= parameter may be used: {{ Math templates | state = collapsed }} will show the template collapsed, i.e. hidden apart from its title bar.
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