无穷小

He used the methods of calculus to solve the problem of planetary motion, the shape of the surface of a rotating fluid, the oblateness of the earth, the motion of a weight sliding on a cycloid, and many other problems discussed in his Principia Mathematica .

在其他的工作，他开发的一系列扩展的功能，包括分数，不合理的权力，显然，他理解的原则，泰勒级数。他没有公布所有这些发现，并在这个时候无穷小方法仍然被视为违规。

In this paper, according toinfinitesimal criterion in symmetry theorem, using differential Wu-method(char-set byMathematica software) and conditions of symmeties of equation u_=Hu_,we givenew potential symmetries for nonlinear telegraph equation u_=F

本文根据对称理论中的无穷小准则，利用微分形式的吴方法(借助于Mathernatica软件编写的求解微分特征列集的程序包)和u_=Hu_型方程对称的存在条件，得到了非线性电报方程u_=F

The mathematical form of material energy-momentum tensor is the same as a sum of the energymomentum tensor in elastic material and the Maxwell stress tensor in electromagnetic field Moreover, under infinitesimal symmetrical transformations, the infinitesimal invariance condition gives a balance of the field variables and material energy-momentum tensor.

另外，在无穷小对称变换条件下，它指出—种场变量与物质能量-动量张量的平衡关系。

Moreover, the stability of unfoldings of such kind of bifurcation problems is discussed, and the sufficient condition of an unfolding of a bifurcation problem to be stable is that it is versal unfolding under certain conditions.

得到的这种分歧问题的无穷小稳定与稳定是等价的，而且讨论了这种分歧问题开折的稳定性，得到了一定条件下分歧问题开折稳定的充分必要条件为该开折是通用开折。

The versal unfolding theorem obtained in this paper by using DA-algebras tools introduced by Damon not only includes many corresponding results but also cancels the stronger demand on the codimension of a bifurcation Problem in some of relevant references to establish more general unfolding theory.

本文第二章进一步研究在(来源：AB00c6C论文网www.abclunwen.com)接触等价群作用下上述等变分歧参数及其开折的稳定性问题，得到了这类分歧问题是稳定的等价于它是无穷小稳定的结论，并且用横截性条件刻画了这类分歧问题的稳定性。

These ideas were systematized into a true calculus of infinitesimals by Gottfried Wilhelm Leibniz , who was originally accused of plagiarism by Newton.

These想法系统化成为一个真正的结石无穷小的哥特弗里德威廉莱布尼茨，谁最初被控剽窃的牛顿。

Then some scholars believe the existence of the DEA model involving the Non-Archimedean infinitesimal and others do not.

对于含非阿基米德无穷小量DEA模型，学者分成了两派，一派肯定它的存在性，另一派否定它的存在性。

In the 19th century, infinitesimals were replaced by limits .

在19世纪，无穷小，取而代之的限制。

Historically, the first method of doing so was by infinitesimals .

历史上，第一种方法是这样做的无穷小。

Their work discredited the use of infinitesimals to justify calculus.

他们的工作拒绝使用无穷小来证明微积分。

I'm strongly against the death penalty — it's an eye for an eye.

我不赞成死刑——这是以牙还牙的报复行为。

And to get you the support you need, we're enlisting all elements of our national power: our diplomacy and development, our economic might and our moral suasion, so that you and the rest of our military do not bear the burden of our security alone.

并给你们所须的支援，我们正徵召国家所有各种的力量：我们的外交及发展，我们的经济力量与道德劝说，所以你们与其他军人不须要孤独地负起国家安全的责任。