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In linear algebra, the adjugate or classical adjoint of a square matrix A, adj(A), is the transpose of its cofactor matrix. [1] [2] It is occasionally known as adjunct matrix, [3] [4] or "adjoint", [5] though that normally refers to a different concept, the adjoint operator which for a matrix is the conjugate transpose.
adj – adjugate of a matrix. a.e. – almost everywhere. AFSOC - Assume for the sake of contradiction; Ai – Airy function. AL – Action limit. Alt – alternating group (Alt(n) is also written as A n.) A.M. – arithmetic mean. AP – arithmetic progression. arccos – inverse cosine function. arccosec – inverse cosecant function. (Also ...
Venn diagram of . In logic, mathematics and linguistics, and is the truth-functional operator of conjunction or logical conjunction.The logical connective of this operator is typically represented as [1] or & or (prefix) or or [2] in which is the most modern and widely used.
For example, if G is (,), the Lie group of real n-by-n invertible matrices, then the adjoint representation is the group homomorphism that sends an invertible n-by-n matrix to an endomorphism of the vector space of all linear transformations of defined by: .
ADJ or Adj may refer to: Abbreviation for adjustment, adjoining, or adjacent; ADJ, in linguistics, glossing abbreviation for adjective, a part of speech; AdJ, software;
The adjectival noun term was formerly synonymous with noun adjunct but now usually means nominalized adjective (i.e., an adjective used as a noun) as a term that contrasts the noun adjunct process, e.g. the Irish meaning "Irish people" or the poor meaning "poor people". [citation needed] Japanese adjectival nouns are a different concept.
An adjective (abbreviated adj.) is a word that describes or defines a noun or noun phrase.Its semantic role is to change information given by the noun. Traditionally, adjectives are considered one of the main parts of speech of the English language, although historically they were classed together with nouns. [1]
A more detailed definition of the adjunct emphasizes its attribute as a modifying form, word, or phrase that depends on another form, word, or phrase, being an element of clause structure with adverbial function. [2] An adjunct is not an argument (nor is it a predicative expression), and an argument is not an adjunct. The argument–adjunct ...