定理

We can determine the unexistence of limit cycles of original 2D digital system by analysing the system set.

定理3和定理4所分析的2-D数字系统存在多个多重非线性的情况，则是Fahmy[41]和Agathoktis[30]所无法分析的。

In chapter four"The application of generalized sampling theorem to data compression", the qaulity of approximation coefficients is proved and a methodology of discrete cosine transformation combined with ununiform sampling is put forward.

第四章&广义采样定理在数据压缩中的应用&，对广义采样定理一中的展开式系数性质进行了证明，在此基础上提出了一种结合非均匀采样的离散余弦变换方法。

We prove the relativistic virial theorem, which gives simple criteria for the absence of embedded eigenvalues in certain regions of the continuous spectrum.

我们证明相对论维里定理，这定理对于连续谱空间里本征值的缺乏给出了简单的标准。

Koopmans' theorem also assumes that the Hartree-Fock theory is adequate to describe ionisation or electron-gain.

Koopmans定理也假定用Hartree-Fock定理描述电子的得失是恰当的。

At last, there are two appendixes. Appendix A discusses 2. 10 theorem which is an important one in chapter two.

本文最后在附录A中对第二章的重要定理，2.10定理的条件进行了讨论，给出了附加一个条件后的一个简洁证明。

One will reach a best cut order and the minmum if he incises these edges by means of methods of theorem 1 and theorem 3 in this paper.

文中的定理 1 和定理 3 给出了求最优切割顺序和最小值的方法。

This chapter proposes three conceptions, i.e., Kernelled quasidiferential, star-kernel and star-diferential, and establishes their operational properties. A sufficient theorem and a sufficent and necessity theorem for a quasi-kernel being a kernelled quasidiferential are proven. Both the existence of star-kernel for a quasidiferentiable function and the existence of star-differential for a direnction-ally diferentiable function are established.

在这一章里，首先给出核拟微分，星核与星微分的定义及其它们的运算性质；然后证明了拟核微分的一个充分条件定理及一个充要条件定理；最后讨(来源：A27BC论文网www.abclunwen.com)论拟可微函数星核的存在性及方向可微函数星微分的存在性以及Penot-微分与上下导数之间的关系。

Thischapter proposes three concepts,i.e.,kernelled quasidifferential,star-kerneland star-differential,and establishes their operational properties.A sufficiencytheorem and a sufficiency and necessity theorem for a quasi-kernel being a ker-nelled quasidifferential are proven.Both the existence of star-kernel for a qua-sidifferentiable function and the existence of star-differential for a directionallydifferentiable function are established.The relationships between sub-and su-per derivatives and Penot differentials are discussed as well.

这一章我们引入了三个概念，即核拟微分，星核与星微分并建立了它们的运算性质；证明了拟核为核拟微分的一个充分条件定理及一个充分与必要条件定理；建立了拟可微函数星核的存在性及方向可微函数星微分的存在性并讨论了Penot微分与上、下导数的关系。

For geometrical propositions are one and all apodeictic, that is, are bound up with the consciousness of their necessity; for instance, that space has only three dimensions.

因为几何学的定理全都是无可置疑的，亦即与它们的必然性的意识结合在一起的，例如空间只有三种量度；但这一类定理不可能是经验性的命题或经验判断，也不是从这些经验判断中推出来的。

In this paper, an important theorem which is used in the conversion of Coons surface to NURBS surface is discussed.

给出了这个定理的一种构造性证明。定理的证明过程同时也给出了转换方法。

The labia have now been sutured together almost completely.The drains and the Foley catheter come out at the top.

此刻阴唇已经几乎完全的缝在一起了，排除多余淤血体液的管子和Foley导管从顶端冒出来。

To get the business done, I suggest we split the difference in price.

为了做成这笔生意，我建议我们在价格上大家各让一半。