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词汇 majorant
释义

Definition of majorant in English:

majorant

noun ˈmeɪdʒər(ə)nt
Mathematics
  • A function, set element, etc., that can be said to dominate, have precedence over, or constitute an upper bound for another mathematical entity of the same type, according to a particular criterion; specifically (a) a function whose absolute value for any value of the argument is not less than the corresponding absolute value of a given function; (b) a power series for which the absolute value of each term is not less than the absolute value of the corresponding term of a given power series (used especially in ascertaining the convergence of the given series); (c) an element of an ordered set that is greater than or equal to every element of a given subset.

adjective ˈmeɪdʒər(ə)nt
Mathematics
  • Of the nature of a majorant.

Origin

1920s; earliest use found in Proceedings of the London Mathematical Society. From major + -ant.

Definition of majorant in US English:

majorant

nounˈmeɪdʒər(ə)nt
Mathematics
  • A function, set element, etc., that can be said to dominate, have precedence over, or constitute an upper bound for another mathematical entity of the same type, according to a particular criterion; specifically (a) a function whose absolute value for any value of the argument is not less than the corresponding absolute value of a given function; (b) a power series for which the absolute value of each term is not less than the absolute value of the corresponding term of a given power series (used especially in ascertaining the convergence of the given series); (c) an element of an ordered set that is greater than or equal to every element of a given subset.

adjectiveˈmeɪdʒər(ə)nt
Mathematics
  • Of the nature of a majorant.

Origin

1920s; earliest use found in Proceedings of the London Mathematical Society. From major + -ant.

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