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Algebra is the branch of mathematics that studies certain abstract systems, known as algebraic structures, and the manipulation of expressions within those systems. It is a generalization of arithmetic that introduces variables and algebraic operations other than the standard arithmetic operations, such as addition and multiplication.
Algebra is one of the main branches of mathematics, covering the study of structure, relation and quantity. Algebra studies the effects of adding and multiplying numbers , variables , and polynomials , along with their factorization and determining their roots .
Finally, the adjective strong or the adverb strongly may be added to a mathematical notion to indicate a related stronger notion; for example, a strong antichain is an antichain satisfying certain additional conditions, and likewise a strongly regular graph is a regular graph meeting stronger conditions. When used in this way, the stronger ...
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]
Most contemporary reference works define mathematics by summarizing its main topics and methods: The abstract science which investigates deductively the conclusions implicit in the elementary conceptions of spatial and numerical relations, and which includes as its main divisions geometry, arithmetic, and algebra. [16] Oxford English Dictionary ...
Also called infinitesimal calculus A foundation of calculus, first developed in the 17th century, that makes use of infinitesimal numbers. Calculus of moving surfaces an extension of the theory of tensor calculus to include deforming manifolds. Calculus of variations the field dedicated to maximizing or minimizing functionals. It used to be called functional calculus. Catastrophe theory a ...
Such adjective phrases can be integrated into the clause (e.g., Love dies young) or detached from the clause as a supplement (e.g., Happy to see her, I wept). Adjective phrases functioning as predicative adjuncts are typically interpreted with the subject of the main clause being the predicand of the adjunct (i.e., "I was happy to see her"). [11]
The articles in English are the definite article the and the indefinite articles a and an.They are the two most common determiners.The definite article is the default determiner when the speaker believes that the listener knows the identity of a common noun's referent (because it is obvious, because it is common knowledge, or because it was mentioned in the same sentence or an earlier sentence).