查询词典 integral calculus

The contents of the abstract of the short Communication is:"The paper gives a complete differential partition to a Euclidean straight line with a fixed frame, and three axioms for the integral of infinitesimals indexed by real numbers; proves in standard mathematics there are positive infinitesimals outside of real number set; Gives cosmic, macro and micro counterexamples to two axioms in Jordan, Carathéodory, and Lebesgue measure theory; transforms Weierstrass limit into Huang limit, Cantor continuum into Huang continuum, and Newton-Leibniz formula into Huang formula."

这个短的发言的摘要的内容如下：&此文对一条确定了固定标架的欧几里德直线给出了完整的微分分拆，并对以实数为标号的无穷小的积分给出了三条公理；在标准数学中证明了在实数集合之外存在正的无穷小；对若当，卡拉特欧多里和勒贝格测度论中的两条公理给出了宇观的，宏观的和微观的反例；将外尔斯特拉斯极限改进为黄氏极限，将康托连续统改进为黄氏连续统，和将牛顿－莱布尼茨公式改进为黄氏公式。&

OSI funding has been an integral part of Imta all along, allowing the programme to get off the ground, while Imta has been a platform for the foundation to institutionalise its support for management development in the transition economies, says Prof Gudic.

古迪奇教授表示：&来自OSI的资助一直是IMTA不可分割的一部分，有了这些资金，该项目才得以启动。另一方面，IMTA也为OSI提供了一个平台，将其对转型经济体管理发展的支持制度化。&

Proper pronunciation, intonations, and stresses are integral parts of learning a language.

正确的发音，语调，重度是学习语言紧不可缺少的部分。

As to the higher Landau levels, we conducted systematically calculations for the various possible ground states, such as the Laughlin liquid, the composite fermion liquid, the Wigner crystal, and the charge density wave . We find that when the Landau level index N≥2, the fractional quantum Hall states are ruled out and the CDW and Wigner crystal dominate. An exception occurs at around v=4+1/6, where the composite fermion liquid may be more energetically preferable than the CDW and the Wigner crystal states. This result provides a new explanation to the so-called re-entrant integral quantum Hall effect. In fact, the feature of isotropically metallic property at this filling is discerned from the experiment.

对于高朗道能级，我们对各种可能的基态，比如量子霍耳态，复合费米子流体，Wigner晶体，电荷密度波等，做了系统的计算，我们发现，当朗道能级N≥2时，分数量子霍耳态不再出现，Wigner晶体和电荷密度波将占主导地位，一个例外就是在ν=4+1/6附近，复合费米子流体可能出现在从Wigner晶体到电荷密度波晶体之间，该结果为上述的重进入整数量子霍耳效应现象提出了一种新的解释。

An integral part of the system is the PT10 loudspeakers.

该系统的一个组成部分，是PT10扬声器。

While there is no firm evidence of its use for military purposes, Air Force documents suggest HAARP is an integral part of the militarisation of space.

然而没有有力的证据证明它的军事目的的使用。空军文件暗示 HAARP是太空军事化的一个有机组成部分。

Borrowing from Herbert Simon and also influenced by the ideas of existential phenomenologists such as Maurice Merleau-Ponty and Martin Heidegger, McClamrock suggests that man's condition of being-in-the-world ("Dasein","In-der-welt-sein") makes it impossible for him to understand himself by abstracting away from it and examining it as if it were a detached experimental object of which he himself is not an integral part.

借鉴Herbert Simon，受到存在主义现象学家梅洛-庞蒂（Maurice Merleau-Ponty）和海德格尔的影响，McClamrock提出了这样的看法：人的状况是&在世界之中存在&（&Dasein&，&In-der-welt-sein&），但人们却想采用了从这种状况中抽离出来并检验它的方法来理解他自己，就好像这种状态是一个被分开的经验性对象，对它来说他不是一个整合而不可分的部分，这是不可能成功的。

This dimension of psychology is an integral part of criminology that is of great account in crime-related inv ...

事实上 ，它是由D迈尔斯发表在2000年，当人们被要求美国心理学家。。。标签：融资，贷款

Under the conditions that water is incompressible, the plate vibrates in small amplitude and the modal deflection in water equal approximately that in vacuo. The addes mass density due to water pressure is expressed using Rayleigh's integral.

在假定流体不可压、方板作小振幅振动、水中模态挠度近似为真空模态挠度的条件下，利用瑞利积分得到了因流体压而引起的附加质量密度。

It contributes importantly to satisfactions that are an integral part of current and future consumption.

它重要有助于是当今和将来的消耗的组成部分的满意。

Analog output can display output results.

可以模拟输出显示输出效果。

It implied that RAPD technique pro vided a new alternative for checking irradiation induced effects.

对扩增产物进行数据分析，结果表明RAPD技术能够检测出辐射后唐菖蒲基因组变异情况，可用于对唐菖蒲辐射后基因变异的分析。