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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 | English meaning - Cambridge Dictionary
    Only an infinitesimal proportion (' measure zero ', in technical terms) are atypical
  • Infinitesimals and their orders | Math Bites
    A quantity that we can consider as becoming ever smaller is called an infinitesimal A possible mental image is that of a segment which increasingly diminishes until it becomes a single point, or an angle whose sides become closer and closer until they coincide
  • 1. 5: Infinitesimal, Finite, and Infinite Numbers
    Each of these can be either infinitesimal, finite but not infinitesimal, or infinite, depending on what $\epsilon$, $\delta$, $H$, and $K$ are For this reason, they are called indeterminate forms
  • What is the meaning of infinitesimal? - Mathematics Stack Exchange
    An infinitesimal is either a positive infinitesimal, a negative infinitesimal, or zero In $\mathbb {R}$ there is only one infinitesimal, zero - this is precisely the Archimedean property of $\mathbb {R}$
  • Infinitesimal | Calculus, Limits Analysis | Britannica
    infinitesimal, in mathematics, a quantity less than any finite quantity yet not zero
  • INFINITESIMAL Definition Meaning | Dictionary. com
    INFINITESIMAL definition: exceedingly small; minute See examples of infinitesimal used in a sentence
  • 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
  • Infinitesimal - New World Encyclopedia
    An infinitesimal is a quantity that is so small that it cannot be seen or measured In mathematics, it is a non-zero quantity that approaches zero as a limit When used as an adjective in the vernacular, infinitesimal means extremely small





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