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infinitesimal    音标拼音: [,ɪnfɪnɪt'ɛsɪməl]
a. 极小的,极微的,无限小的
n. 极小量,极微量,无限小

极小的,极微的,无限小的极小量,极微量,无限小

infinitesimal
adj 1: infinitely or immeasurably small; "two minute whiplike
threads of protoplasm"; "reduced to a microscopic scale"
[synonym: {infinitesimal}, {minute}]
n 1: (mathematics) a variable that has zero as its limit

Infinitesimal \In`fin*i*tes"i*mal\, a. [Cf. F. infinit['e]simal,
fr. infinit['e]sime infinitely small, fr. L. infinitus. See
{Infinite}, a.]
Infinitely or indefinitely small; less than any assignable
quantity or value; very small.
[1913 Webster]

{Infinitesimal calculus}, the different and the integral
calculus, when developed according to the method used by
Leibnitz, who regarded the increments given to variables
as infinitesimal.
[1913 Webster]


Infinitesimal \In`fin*i*tes"i*mal\, n. (Math.)
An infinitely small quantity; that which is less than any
assignable quantity.
[1913 Webster]


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  • Infinitesimal - Wikipedia
    In mathematics, an infinitesimal number is a non-zero quantity that is closer to 0 than any non-zero real number is The word infinitesimal comes from a 17th-century Modern Latin coinage infinitesimus, which originally referred to the "infinitieth" item in a sequence
  • INFINITESIMAL Definition Meaning - Merriam-Webster
    The notion of smallness in infinitesimal derives from the mathematical concept that a quantity can be divided endlessly; no matter how small, it can be subdivided into yet smaller fractions, or infinitesimals
  • infinitesimal - Wiktionary, the free dictionary
    infinitesimal (plural infinitesimals) (mathematics) A non-zero quantity whose magnitude is smaller than any positive number (by definition it is not a real number)
  • INFINITESIMAL | English meaning - Cambridge Dictionary
    Only an infinitesimal proportion (' measure zero ', in technical terms) are atypical
  • INFINITESIMAL Simple Definition - Merriam-Webster
    Simple Definition of infinitesimal from our Learner's Dictionary infinitesimal adjective ɪnˌfɪnəˈtɛsəməl : extremely small an infinitesimal moment in time
  • Infinitesimal -- from Wolfram MathWorld
    An infinitesimal is some quantity that is explicitly nonzero and yet smaller in absolute value than any real quantity The understanding of infinitesimals was a major roadblock to the acceptance of calculus and its placement on a firm mathematical foundation
  • 1. 5: Infinitesimal, Finite, and Infinite Numbers
    To explain part (b) of the Extension Principle, we give a careful definition of an infinitesimal A hyperreal number b is said to be: positive infinitesimal if b is positive but less than every positive real number negative infinitesimal if b is negative but greater than every negative real number
  • Calculus - Wikipedia
    Calculus is the branch of mathematics that studies continuous change, and is the principal precursor of modern mathematical analysis Originally called infinitesimal calculus or the calculus of infinitesimals, it has two major branches, differential calculus and integral calculus
  • INFINITESIMAL Definition Meaning | Dictionary. com
    INFINITESIMAL definition: exceedingly small; minute See examples of infinitesimal used in a sentence
  • Infinitesimal | Calculus, Limits Analysis | Britannica
    infinitesimal, in mathematics, a quantity less than any finite quantity yet not zero





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