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In mathematics, a monomial is, roughly speaking, a polynomial which has only one term.Two definitions of a monomial may be encountered: A monomial, also called a power product or primitive monomial, [1] is a product of powers of variables with nonnegative integer exponents, or, in other words, a product of variables, possibly with repetitions. [2]
The leading term of a nonzero polynomial [,, …,], denoted by () is the monomial term of maximal order in and the leading term of = is . The ideal of leading terms , denoted by L T ( I ) {\displaystyle LT(I)} , is the ideal generated by the leading terms of every element in the ideal, that is, L T ( I ) = ( L T ( f ) ∣ f ∈ I ...
The term "polynomial", as an adjective, can also be used for quantities or functions that can be written in polynomial form. For example, in computational complexity theory the phrase polynomial time means that the time it takes to complete an algorithm is bounded by a polynomial function of some variable, such as the size of the input.
Also acid ionization constant or acidity constant. A quantitative measure of the strength of an acid in solution expressed as an equilibrium constant for a chemical dissociation reaction in the context of acid-base reactions. It is often given as its base-10 cologarithm, p K a. acid–base extraction A chemical reaction in which chemical species are separated from other acids and bases. acid ...
When a monomial order has been chosen, the leading monomial is the largest u in S, the leading coefficient is the corresponding c u, and the leading term is the corresponding c u u. Head monomial/coefficient/term is sometimes used as a synonym of "leading". Some authors use "monomial" instead of "term" and "power product" instead of "monomial".
Nomenclature (UK: / n oʊ ˈ m ɛ ŋ k l ə tʃ ə, n ə-/, US: / ˈ n oʊ m ə n k l eɪ tʃ ər /) [1] [2] is a system of names or terms, or the rules for forming these terms in a particular field of arts or sciences. [3] (The theoretical field studying nomenclature is sometimes referred to as onymology or taxonymy [4]).
Chemical nomenclature however (with IUPAC nomenclature as the best example) is necessarily more restrictive: Its purpose is to standardize communication and practice so that, when a chemical term is used it has a fixed meaning relating to chemical structure, thereby giving insights into chemical properties and derived molecular functions. These ...
Chemistry is the scientific study of the properties and behavior of matter. [1] It is a physical science within the natural sciences that studies the chemical elements that make up matter and compounds made of atoms, molecules and ions: their composition, structure, properties, behavior and the changes they undergo during reactions with other substances.