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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
  • 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
  • INFINITESIMAL | English meaning - Cambridge Dictionary
    Only an infinitesimal proportion (' measure zero ', in technical terms) are atypical
  • Infinitesimals | Calculus, Mathematics History | Britannica
    Infinitesimals were introduced by Isaac Newton as a means of “explaining” his procedures in calculus Before the concept of a limit had been formally introduced and understood, it was not clear how to explain why calculus worked
  • Definition of an Infinitesimal - Mathematics Stack Exchange
    An infinitesimal is an $\epsilon$ which is between $a$ and $-a$ for every standard real number $a$ So $0$ is infinitesimal, but $ {1\over 100}$ isn't, because $ {1\over 100}\not< {1\over 500}$, and $ {1\over 500}$ is a standard real number
  • Infinitesimal Nonstandard Calculus: Simple Definitions
    In normal English, infinitesimal means “something that is extremely small”, but in mathematics it has an even stronger meaning It is a quantity that is infinitely small; so small as to be non-measurable An infinitesimal is nonzero in size In other words, it isn’t exactly zero
  • INFINITESIMAL Definition Meaning | Dictionary. com
    INFINITESIMAL definition: exceedingly small; minute See examples of infinitesimal used in a sentence
  • A Brief History of Infinitesimals: The Idea That Gave Birth to Modern . . .
    What would happen, they wondered, if we assumed that a line is a string of infinitesimals—of tiny, or infinitely small, points? And similarly that a plane is composed of lines placed side by
  • 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





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