查询词典 on condition that

By giving the example, explains that theorem 4 in the refuted paper is not the necessary condition of the continued fraction convergences, by discussing the indeterminacy of the lever function and citing the counterexamples, expounds that the theorem 4 is not sufficient condition of the parameters W and W -1 neutralizing each other, and so shows algorithm 1 and 2 in the refuted paper to be incorrect.

通过举例说明了"攻文"定理4不是连分式收敛项的必要条件，并通过对杠杆函数不确定性的讨论和反例的举证说明了"攻文"定理4不是W与W –1相互抵消的充分条件，从而证明了"攻文"算法1和2及其衍生方法是错误的。

Furthermore,we obtain a sufficient and necessary condition about continuity of functional series and integral with parameter,and show the sufficient condition about differential .

将数学分析中一致收敛性的概念加以推广，分别对函数项级数和含参量积分引入次一致收敛的概念，证明了函数项级数、含参量非正常积分连续性的充要条件和可微性的充分条件，推广了数学分析中的相应结

We see the same thing, watching moment by moment the movement of historical personages (that is, restoring the inevitable condition under which all action takes place—the condition of the continuity of motion in time), and not losing sight of the necessary connection of historical figures with the masses.

假如我们每时每刻注视历史人物的运动（就是恢复所发生一切的必要条件——运动在时间上的连续性），不疏忽历史人物和群众的必要联系，我们就会看见同样的情况。

Al. can not be directly used in our case, we employ the sympatric property of subdivision matrix to process analyzing, and finally find out the convergence condition and sufficient tangent continuity condition.

这里的创新点在于把静态细分扩展到动态以及旋转面的局部生成。

Condition of continuity; continuity condition

"连续条件"；在学术文献中的解释

Take the method of "subarea" and "conjunction" to segment the whole request model to three parts. Making use of boundary continuousness between medium and lining structure at stress and displacement, construct a wave function that can satisfy the stress boundary condition at horizontal surface by the scattering of SH-waves in circular part. And then, availing of the wave function, conjoin the circular part into the semi-circular hollow space at common boundary. The problem can be reduced to solve the question that can only meet the condition of "conjunction". Finally, the solution of the problem can be summarized to a series of algebraic equations and solved numerically by truncating the finite terms of the infinite algebraic equations.

采用"分区"与"契合"的方法，将整个求解区域分割成三部分，利用介质与衬砌结构在边界上的应力、位移的连续性，构造一个可以自动满足水平界面上应力边界条件的圆域对SH波散射的波函数；再利用这一波函数将圆域与半圆形凹陷半空间的"公共边界"进行"契合"，将问题简化成对一个只需满足'契合'边界条件的散射问题的求解；最终归结为对一组无穷代数方程组的求解问题，利用截断有限项的方法对其进行计算。

In order to deeply analyze the distribution of maximum tensile strain during asphalt surface for Semi-rigid base asphalt pavement and compound base asphalt pavement , two types of typical structure were chosen, taking the Shell designing software BISAR 3.0 as calculation tool, considering two kinds interface contact condition of complete continuousness and not incomplete continuousness, then a comprehensive analysis was made on the maximum tensile strain of every structure on the basis different interface contact condition.

摘 要：为深入分析半刚性基层沥青路面和复合式基层沥青路面面层内的最大拉应变的规律，选取两类沥青路面的典型结构，采用壳牌设计软件 BISAR 3.0为计算工具，考虑层间完全连续状态以及不完全连续两种状态，对各结构在不同的层间结合条件下沥青层最大拉应变进行了比较和分析。

We give the sufficient-necessary condition of convergence and the sufficient condition of eventually contractive convergence introduced by Fisher is explained.

另一方面，根据线性控制理论的某些结果，提出了用系统的特征值来分析解码吸引子的收敛性的新手段；并给出了收敛的充要条件以及Fisher终值压缩收敛的充分条件。

Leading resistant factor into the necessary condition can also enlarge the quadratic convergence region near optimal solution so that it is very efficient to use the known flash calculations at one condition to iteratively compute another optimal solution at other conditions where pressure, temperature and mole fractions of components are close to known ones respectively.

在极值必要条件式中引入阻尼因子能扩大真解附近的平方收敛域，尤其在利用已知条件下的汽液平衡结果作初值直接用极值条件方程迭代计算压力、温度和组成变化不严重的相邻点的汽液平衡极值解方面效果十分显著，适合于加快组分模型的计算速度。

The switching law is given out according to convex combination condition and the sufficient condition of the stabilization is obtained by switching among a finite number of controllers under the assumption that a single controller cannot make the systems stable and has H-infinity disturbance attenuation.

在假定每个单一的控制器均不能使系统稳定且具有H扰动衰减度的条件下，利用凸组合条件给出了切换律的设计方案，通过在有限个控制器间的切换得到了镇定的充分条件。

"Please accept this talisman as a token of our thanks."

请收下这个护身符以表达我们的感谢。

If I have that magic, I will be more acceptable in the society.

如果我拥有那种魔法，我将更加被这个社会所容纳。