查询词典 prove

Using the fixed point principle and the theory of differential inequality, we prove the existence of the solution and an uniformly valid asymptotic expansions of the solution is given as well.

利用不动点原理及微分不等式理论，我们证明了边值问题解的存在性，并给出了解的一致有效渐近展开式。

Lyapunov stability theory was used to prove the asymptotic stability of the closed-loop control system.

对该控制律，利用Lyapunov稳定性定理证明了闭环系统的渐近稳定性。

Under some regular conditions, we propose estimating equations for H,β and θ, and computational algorithm for solving the equations. We prove that the estimators are asymptotically normally distributed.

进而我们提出了估计H、β和θ的一套估计方程，给出了求解这些方程的计算机算法，讨论了估计量的极限性质，证明了估计量是渐近正态的，并且其极限协方差阵可以被相合地估计。

Using Floquet theory and small amplitude perturbation method, we prove thatthe microorganism-eradication periodic solution is asymptotically stable if the impulsive periodsatisfies some conditions.

利用Floquet理论和小振幅干扰的方法证明脉冲周期满足一定条件时，微生物灭绝周期解是渐近稳定的。

If we can prove the product,then we can sell at a high price and get higher profit.

如果我们能改进产品，就可以卖更高的价格，从而获得更高的利润。

If you could prove you are not at fault.

如果你可以证明自己无过错。

I was at home in bed. Why do I need to prove that?

我在家里的床上我为什么要证明？

Then, we consider the Lyapunov-Schmidt reduction method from the Morse theoretical point of view. We prove that the critical groups at infinity of the reduced functional are isomorphic to those of the original functional.

接下来，我们从Morse理论的角度来考察著名的Lyapunov-Schmidt约化方法，证明了原泛函与约化后的泛函在无穷远处的临界群是同构的。

It was once regarded as an example of atavism,and at one time even thought to be the missing ape-human link required to prove Darwin\'s theory.Modern studies suggest that a genetic alteration plays a central,but still unresolved role,in CGHT or other "atavism" cases.

从中世纪开始，在不少文学和绘画作品中就有对CGHT患者的记载和描绘，可见普通大众和科学家们一样，都对此拥有极其浓厚的兴趣。

And while for subsequent ages down to our own day it continues to be theoretically true that the Church may, by the exercise of this ordinary teaching authority arrive at a final and infallible decision regarding doctrinal questions, it is true at the same time that in practice it may be impossible to prove conclusively that such unanimity as may exist has a strictly definitive value in any particular case, unless it has been embodied in a decree of an ecumenical council, or in the ex cathedra teaching of the pope, or, at least, in some definite formula such as the Athanasian Creed.

而以后的年龄下降到我们自己的天它继续成为理论上不错，教会可借行使这项普通的教学管理局达成最后和犯错的决定，关于理论问题，这是事实在同一时间，在实践中这也许是不可能的，以证明得出结论，这种一致的作为可能存在有一个严格明确的价值在特定情况下，除非它已体现在了一项法令，一个大公会议，或在特惠cathedra教学的教宗，或者，至少，在一些明确的公式，如阿他那修信经信条。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。