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The present paper covers the Hopf points bifurcating from double fold points, and gives some computable nondegeneracy conditions and stability conditions of these Hopf points.

本文研究从双重折叠点分支出的Hopf点，给出了可计算的非退化性条件及稳定性条件。

Contain terms and conditions of carriage or make reference to another source containing the terms and conditions of carriage (short form or blank back nonnegotiable sea waybill).

包含承运条件须参阅包含承运条件条款及条件的某一出处者，银行对此类承运条件的条款及条件内容不予审核。

Under some conditions we obtain the existence of nontrivial solution by analyzing the best Sobolev embedding constant and by use of the minimax theorems without conditions.

通过使用没有条件的极小极大定理，以及对最佳Sobolev嵌入常数的详细分析，得到了一些具临界Sobolev指数的半线性椭圆系统的真正非平凡解的存在性，并讨论了解的一些性质。

It has been used for other conditions, notably precancerous conditions in the mouth.

它已经被用于其他方面的情况，尤其是癌前状态，在嘴里。

An input phase voltage is divided into a main range and a transition range in which new P, M, N conditions and PM, NP, MN transition conditions are defined, some null vector is selected and the condition combination sequence of bidirectional power switches are adjusted in each modulation period to realize the safe, reliable and rapid commutation and the stable operation of the matrix converter.

本发明属于矩阵变换器控制技术，为一种用于矩阵变换器的控制方法，通过把输入相电压划分为主区间和过渡区间、在过渡区间定义新的P、M、N状态和PM、NP、MN暂态以及在每个调制周期内选择特定的零矢量并调整双向功率开关状态组合顺序，实现矩阵变换器安全、可靠、快速换流和稳定运行。

After cultivated, tube plantlets weren't evidently different compared with the control (inoculated under no NaClO, free virus conditions) in main growth indexes,which showed that Oncidium' s tube plantlets could be inoculated under open conditions when film culture vessels were used.

培养后的试管苗在主要生长指标方面与对照(不添加NaClO、无菌条件下接种)相比无明显差异，表明采用树脂膜培养容器可以在有菌条件下进行文心兰试管苗的接种。

Here mainly introduces five natures of the initial value problems, In several aspects summed up as the following : whether there are solutions to the problems, whether the only solution, the existence of solutions interval extent; Initial issues under what conditions have a solution--Cauchy - Piano existence theorem; how the district between the definition of a solution to open up a larger interval up; initial value problems for the sole condition --- Lipschitz conditions; 3、the numerical solution of the initial value problems of Ordinary Differential equations .

在这里主要介绍了初值问题的5个方面的性质，分别在这几个方面中总结了以下内容：初值问题是否有解，解是否惟1，解的存在区间有多大；初值问题在什么条件下有解----柯西-皮亚诺存在定理；怎样把在小区间上有定义的解开拓到较大的区间上去；初值问题解的惟1性条件---李普希茨条件；3：常微分方程初值问题的数值解法。

The started-point is the semi-classical and quantum SRS theory.Withdifferent boundary and initial conditions which corresponding to differentexperimental conditions,the equations were solved in a special space(with givendimension,orthogonality and transferring relation).

论文力图在这些方面作些尝试，其基本出发点以受激拉曼的半经典与量子理论为基础，不同的实验条件给出不同的边界条件和初始条件，在不同的空间(不同的维数，不同正交特性及变换关系)中求得具体的解。

New sufficient conditions for allsolutions to be oscillatory are obtained under some very weak conditions.

在较弱的条件下，获得了方程的所有解振动的新的充分条件。

Based on coupled heat transfer theory and finite element method , outer boundary conditions between parts were transformed into inner boundary conditions of the component

基于耦合传热理论和有限元方法，将零件间的外边界条件转变为零件的内边界条件，直接对零件进行耦合仿真计算。

Great. What repertoire did you see?

太棒了。你看的是什么剧目？

I prepared not to accept such ridiculousness:"Please," I said to him.

我可不想理会这套荒谬的东西："请你通情达理一点儿。"