What does monomial mean?

Definitions for monomial
moʊˈnoʊ mi əl, mə-mono·mi·al

This dictionary definitions page includes all the possible meanings, example usage and translations of the word monomial.


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Wiktionary

  1. monomialnoun

    A single term consisting of a product of variables with positive integer exponents.

    xu00B2y is a monomial

  2. monomialnoun

    A single term consisting of a product of numbers and variables with positive integer exponents.

    5xu00B2y is a monomial

  3. monomialadjective

    Relative to an algebraic expression consisting of one term.

  4. Etymology: Syncopic form of mononomial.

Webster Dictionary

  1. Monomialnoun

    a single algebraic expression; that is, an expression unconnected with any other by the sign of addition, substraction, equality, or inequality

  2. Monomialadjective

    consisting of but a single term or expression

  3. Etymology: [See Monome, Binomial.]

Wikidata

  1. Monomial

    In mathematics, a monomial is roughly speaking, a polynomial which has only one term. Two different definitions of a monomial may be encountered: ⁕For the first definition, a monomial is a product of powers of variables with nonnegative integer exponents, or, in other words, a product of variables, possibly with repetitions. The constant 1 is a monomial, being equal to the empty product and x0 for any variable x. If only a single variable x is considered, this means that a monomial is either 1 or a power x of x, with n a positive integer. If several variables are considered, say, then each can be given an exponent, so that any monomial is of the form with non-negative integers. ⁕For the second definition, a monomial is a monomial in the first sense multiplied by a nonzero constant. A monomial in the first sense is also a monomial in the second sense, because the multiplication by 1 is allowed. For example, and are monomials. In the context of Laurent polynomials and Laurent series, the exponents of a monomial may be negative, and in the context of Puiseux series, the exponents may be rational numbers.

Chambers 20th Century Dictionary

  1. Monomial

    mon-ō′mi-al, n. an algebraic expression of one term only: a series of factors of single terms—also Mon′ome.—adj. Monō′mial. [Gr. monos, alone, L. nomen, name.]

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Numerology

  1. Chaldean Numerology

    The numerical value of monomial in Chaldean Numerology is: 5

  2. Pythagorean Numerology

    The numerical value of monomial in Pythagorean Numerology is: 2

Popularity rank by frequency of use

monomial#10000#97229#100000

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"monomial." Definitions.net. STANDS4 LLC, 2024. Web. 26 Apr. 2024. <https://www.definitions.net/definition/monomial>.

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