充分条件

In the fifth section, we obtain some sufficient conditions under which a class of a planar quintic system has at most two limit cycles by transforming it into Abel equation.

第五章讨论了一类可化为Abel方程的五次多项式系统的极限环的个数，得到此类平面五次多项式系统至多存在两个极限环的充分条件。

Kimmerle proved that Coleman outer automorphism group is abelian and gave some sufficient conditions on the group being a p — group and trivial group.

Kimmerle又证明了该群还是交换群，而且他们给出了Coleman外自同构群是p'-群的一些充分条件和该群为平凡群的情况。

Attempted analyses of concepts in terms of necessary and sufficient conditions, even where they fail, abet discovery.

试图从必要条件和充分条件的角度来分析概念，即便失败了，也能有所发现。

By applying the tools such as modulus of curves and rings, together with Rohde s theorem, it proves that a homeomorphism is a bi Lipschitz map if and only if it satisfies a logarithmically absolute value inequality of rings.

运用曲线族的模和环模等工具，结合 Rohde定理，证明同胚为双 Lipschitz映射的充要条件是：它适合环的对数绝对值不等式；还得到了同胚为拟共形映射的一个充分条件。

Then, in terms of the proposed tuning scheme and frequency-domain control theory, some decupling control methods are studied for the multivariable processes with time delays. The main contribution lies in: 1 For single-parameter diagonal controllers and full matrix controllers of the multivariable control system, a robust tuning scheme is proposed.

首先，给出了系统面临乘性输入、乘性输出，以及加性不确定性时，保证系统鲁棒稳定性的充分条件，并依据此条件，提出了计算控制参数整定范围的解析方法；然后，给出了参数估计方法，用来在参数整定范围内预测初始控制参数；最后，通过主导极点或幅值率调节方法，进一步优化出满足时域设计指标的控制参数值。

Some global properties such as global at tractivity and global exponential stability for delayed Hopfield neural networks model, under the weaker assumptions on nonlinear activation functions, are conc erned.

对具有时滞的Hopfield神经网络模型，在非线性神经元激励函数是Lipschitz连续(而非已有的大部分文献中假设是Sigmoid函数)的条件下，通过构造适当的泛函，给出了这类模型全局吸引和平衡点全局指数稳定的易于验证的充分条件。

On condition that the nonlinear uncertain functions are gain bounded, a sufficient condition, which is dependent on the maximum value of the time derivative of time-varying delay, is presented for the existence of the controller.

在非线性不确定性满足增益有界条件下，得到了该类时变时滞系统依赖於时变延迟导数的最大值的满足鲁棒性能的一个充分条件。

Using 〓-theory in partial differential equation,I find out a sufficient condition on A,B,under which ican be extended to andreplaced by a self-adjoint operator.

利用偏微分方程中的〓理论，我对算子A和B找到了一个充分条件，在该条件下，i可以扩张成一个自共轭算子。

The necessary condition for the existence of double crank of five - bar linkage with two degree of freedoms is derived on the basis of assembling conditions.

根据格拉肖夫定理推导出二自由度五杆机构的双曲柄存在充分条件；根据装配条件推导了二自由度五杆机构的双曲柄存在的必要条件

These conditions were conducive to a great leap forward but not sufficient.

这些条件，确实有助于经济的巨大跳跃，但是，却不是充分条件。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。