无穷小量
- 网络infinitesimal;infinitely small quantity
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本文主要探索利用Taylor公式对无穷小量的阶进行估计,从而有效地判断出二元函数极限的存在性。
In this paper , Taylor 's formula is used to estimate the order of infinitesimal , so that the limit existence about some binary function is estimated effectively .
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等价无穷小量代换的推广和应用
The Extension and Application of the Equivalent Infinitesimal Replacement
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有时候把无穷小量dx和dy描述成正在消失的或者刚出现的量。
The infinitely small " dx " and " dy " were sometimes described as vanishing or incipient quantities .
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牛顿说他已放弃了微元或无穷小量。
Newton says he has abandoned the infinitesimal or infinitely small quantity .
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无穷小量部分代换求极限成立的充要条件
The Sufficient and Necessary Condition when Requesting Limit by Infinitesimal Portion Commutation
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非标准分析中无穷小量阶的研究
A study of infinitesimal quantity order in off-standard analysis
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关于多元高阶无穷小量的一个注记
A Note about the Higher Order Infinitesimal of Multivariate
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关于无穷小量乘积的讨论
On the Infinite Product of the Infinitely Small Quantity
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无穷小量在求函数极限中的应用
The Application of Infinitesimal Quantity in Getting Function Limit
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关于用等价无穷小量代换定理求极限的一个推广命题
A Promoted Proposition on Asking the Limit with Equivalence Infinite Small Quantity Substitution Theorem
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利用无穷小量的代换性质推导了3种计算方法,并举例说明了应用这些方法求函数的极限。
Examples are showed as to how to apply these methods to calculate limit .
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应用等价无穷小量的代换方法求极限
Limit Calculation by the Equivalent Infinitesimal Replace Methods
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无穷小量的等价代换在代数和的极限运算中的应用
The Application on Substitution of Equivalent Infinite Small in Algebra Sum 's Limiting Operation
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无穷小量的等价定理及其应用
An infinitesimal equivalence theorem and its application
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随机无穷小量及其商分布
Random infinitesimal and its quotient distributions
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一个与无穷小量有关的命题
A Proposition on the Infinitesimal Number
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用等价无穷小量替换求极限是一种常用、方便、有效的方法。
Getting limit with substitution of equivalence infinitesimal is a common , convenient and efficient way .
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无穷小量的思考
Thinking About the Infinitesimal
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对用等价无穷小量代换定理求极限进行了推广。
This paper promotes the proposition on asking the limit with equivalence infinite small quantity instead of theorem .
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在19世纪末的数学公理化运动中,极限取代了无穷小量成为微积分的基础。
The limit became the basis of differential in place of infinitesimal in the movement of 19th mathematical axiom .
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采用非标准分析观点,定量地讨论了无穷小量的阶并给出阶的应用。
Using the view of the off-standard analysis , this paper discusses the order of infinitesimal quantity and gives out the application of the order .
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本文得到了等价无穷小量代换的一些结论,并着重讨论了等价无穷小量的代换在代数和的极限运算中的应用。
This article presents some conclusion of substitution about equivalent infinite small , and stress on discussing the application in calculation of limit about algebra sum .
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讨论了无穷小量的代数和的等价代换定理,以及1∞型和00型未定式极限的等价无穷小量代换定理及其应用。
This paper studied the equivalent replacement of infinitesimal algebraic sum , and also gives the theory and application of the equivalent infinitesimal replacement about indefinite forms such as 1 ∞, 00 ect .
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本文通过对一道题的分析、求解,进一步剖析了无穷小量理论,并对数零是唯一可作为无穷小的常量进行了说明。文中给出计算示例。
With the analysis of a example , the article gives a further explanation of the theory of infinitesimal and explains that the number " zero " is the only constant as an infinitesimal .
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文章通过对无穷小量与无穷大量的阶的概念研究,用阶的估计讨论数学分析中数列、函数及级数收敛问题,也为收敛问题深入研究提供了一种方法。
This paper studies the concept of infinitesimal and infinity , and discusses the convergence of sequence , function and series with the estimation of the orders . A kind of method for studying convergence is offered .
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讨论了高等数学中无穷大量与无穷小量的关系,无穷大量的性质,无穷大量的等价。
This paper studies the relationship between infinitely large quantity and infinitely small quantity , the nature of infinitely large quantity and the equivalence of infinitely large quantity .