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词汇 monomial
释义

Definition of monomial in English:

monomial

adjective məˈnəʊmɪəlməˈnoʊmiəl
Mathematics
  • (of an algebraic expression) consisting of one term.

    (代数表达式)单项的

noun məˈnəʊmɪəlməˈnoʊmiəl
Mathematics
  • An algebraic expression consisting of one term.

    (代数表达式)单项的

    Example sentencesExamples
    • He was first to define the monomials x, x 2, x 3,… and 1 / x, 1 / x 2, 1 / x 3,… and to give rules for products of any two of these.
    • We have checked that using the simpler monomial does not influence the results in any regime discussed.
    • The essence of this method is in finding coefficients of basic monomials via the number of possible arrangements of a graph on a finite linearly ordered set that preserves the order of location of vertices.
    • We next observe that the characteristic polynomial factors into the product of a quadratic polynomial and a monomial.
    • Having given rules for multiplication and division of monomials he then looked at ‘composite quantities’ or sums of monomials.

Origin

Early 18th century: from mono- 'one', on the pattern of binomial.

Definition of monomial in US English:

monomial

adjectiveməˈnoʊmiəlməˈnōmēəl
Mathematics
  • (of an algebraic expression) consisting of one term.

    (代数表达式)单项的

nounməˈnoʊmiəlməˈnōmēəl
Mathematics
  • An algebraic expression consisting of one term.

    (代数表达式)单项的

    Example sentencesExamples
    • The essence of this method is in finding coefficients of basic monomials via the number of possible arrangements of a graph on a finite linearly ordered set that preserves the order of location of vertices.
    • We have checked that using the simpler monomial does not influence the results in any regime discussed.
    • Having given rules for multiplication and division of monomials he then looked at ‘composite quantities’ or sums of monomials.
    • He was first to define the monomials x, x 2, x 3,… and 1 / x, 1 / x 2, 1 / x 3,… and to give rules for products of any two of these.
    • We next observe that the characteristic polynomial factors into the product of a quadratic polynomial and a monomial.

Origin

Early 18th century: from mono- ‘one’, on the pattern of binomial.

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