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The following table lists many common symbols, together with their name, how they should be read out loud, and the related field of mathematics. Additionally, the subsequent columns contains an informal explanation, a short example, the Unicode location, the name for use in HTML documents, [1] and the LaTeX symbol.
They extend the basic type of grammars, the context-free grammars, with a conjunction operation. Besides explicit conjunction, conjunctive grammars allow implicit disjunction represented by multiple rules for a single nonterminal symbol, which is the only logical connective expressible in context-free grammars. Conjunction can be used, in ...
Many adverbs of frequency, degree, certainty, etc. (such as often, always, almost, probably, and various others such as just) tend to be placed before the verb (they usually have chips), although if there is an auxiliary or other "special verb" (see § Verbs above), then the normal position for such adverbs is after that special verb (or after ...
A conjunction may be placed at the beginning of a sentence, [1] but some superstition about the practice persists. [2] The definition may be extended to idiomatic phrases that behave as a unit and perform the same function, e.g. "as well as", "provided that".
In Microsoft Windows menus, labels, and other captions, the ampersand is used to denote the next letter as a keyboard shortcut (called an "Access key" by Microsoft). [40] For instance setting a button label to "&Print" makes it display as P rint and for Alt+P to be a shortcut equivalent to pressing that button. A double ampersand is needed in ...
Wedge (∧) is a symbol that looks similar to an in-line caret (^). It is used to represent various operations. In Unicode, the symbol is encoded U+2227 ∧ LOGICAL AND (∧, ∧) and by \wedge and \land in TeX. The opposite symbol (∨) is called a vel, or sometimes a (descending) wedge.
In propositional logic, the commutativity of conjunction is a valid argument form and truth-functional tautology. It is considered to be a law of classical logic . It is the principle that the conjuncts of a logical conjunction may switch places with each other, while preserving the truth-value of the resulting proposition.
In high-level computer programming and digital electronics, logical conjunction is commonly represented by an infix operator, usually as a keyword such as "AND", an algebraic multiplication, or the ampersand symbol & (sometimes doubled as in &&). Many languages also provide short-circuit control structures corresponding to logical conjunction.