查询词典 mapping theorem

Newton inequality and Aissen-Schoenberg-Whitney theorem provide the basic link between the property of unimodality and polynomials having only real zeros.

Newton不等式和Aissen-Schoenberg-Whitney定理建立了实零点多项式与单峰型性质之间的联系。

It is divided into three parts: In Part 1, based on mumerical simulations with the pseudo-spectral method, we introduced some new concepts such as the response speed of soliton interaction, the symbol correlation range, etc., and simplified the evolution problem of general soliton sequencies into the evolution problem of finite equivalent classes of words on a unoriented circle, and then gave out the count formula of the equivalent classes by Pó1ya theorem.

全文分三个部分：第一部分以利用拟谱方法所做的大量数值模拟为基础，分析光纤孤子通信系统中一般编码孤子序列的演化性质，提出孤子相互作用传递速度概念，通过考察通信系统的实际情况，引入码元关联长度K，把一般编码孤子序列的演化问题归结为无定向圆环上有限个不等价码字的演化问题，最后利用Pólya定理解决了不等价码字的计数问题。

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。

This generalizes a theorem ofFan on the existence of long cycles in unweighted graphs to weighted graphs.

这个结果推广了Fan关于在非赋权图中最长圈的一个重要定理。

By means of linearization and Liapunov-Lasalle invaicant set theorem, the stable results of various equilibriums are obtained. The joint influences of quarantine period, infected period, and vaccinal immunity on the disease are exposed.

利用线性化和Liapunov-Lasalle不变集的方法，得到了各类评点的稳定性结论，揭示了染病期、隔离项和接种对疾病发展趋势的共同影响。

And the applicability of Virial theorem is not clear either.

而且维里定理对此类系统的适用性也没有明确结论。

The present paper derives rigorously an equation of state by use of virial theorem at 0°K.

本文运用位力定理严格地给出了材料的冷压状态方程。

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。

In this paper, we extend empirical likelihood to partial linear errors-in-variables model, a nonparametric version of Wilk's theorem is derived.

本文，我们把经验似然推广到部分线性度量误差模型，得到了非参数的Wilk's定理，我们的方法可以用来构建置信区间，也可以用来检验。

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。

He paid $5,000 for this cupcake.

他我这个纸杯蛋糕花了5000美元。

I mean, if you want to, that is

我的意思是，如果你们想吃的话。