数值结果显示了该方法的优越性。
数值结果显示了该方法的有效性和精确性。
A numerical result demonstrates the validity and accuracy of the proposed method.
数值结果显示所提出的方法的效率和准确性。
The numerical results are presented to show the efficiency and accuracy of the proposed method.
数值结果显示，通过该方案能获得均匀性较好的焦斑。
Simulation results indicate that this scheme is a good candidate for improving the irradiation uniformity.
数值结果显示该方法很有效，且具有很好的通用性和稳健性。
Numerical results illustrate the method is efficiency, robust and universal.
数值结果显示了在这种波导中能量的流向和相速度具有相反方向。
The numerical result shows that the power flow direction is reverse to that of phase velocity.
数值结果显示所提出的积分方案在计算效率上比高斯-勒让德积分有大幅度提高。
The numerical results exhibit a great saving in the computational efforts for the proposed integration scheme as compared with the Gauss-Legendre one.
数值结果显示，该混合方法具有精度高、计算时间少、不需要多余存储空间等优点。
The results show that the hybrid method can save more computational time and has advantages of satisfied precision and no more excrescent memory space in the computational processing.
数值结果显示了该方法的优越性，包括迭代序列的单调收敛性及有限差分解的高精度。
The numerical results demonstrate the advantages of the method, including the monotone convergence property of iterative sequences and the high accuracy of the method.
数值结果显示了饱和土的渗透系数、桩土相对刚度及入射波的频率对桩的动力响应有显著影响。
It was shown that the influences of the permeability, the pile-soil elastic modulus ratio and the frequency of the incident waves on the dynamic response of the soil-pile system were significant.
数值结果显示，本文提出的设计方法给出的设计方案能够在磁体结构外部的成像区域形成均匀并且强大的主磁场。
Numerical implementations show that this method provides a main magnetic field with homogeneity and strength at the imaging region, which is defined outside of the magnet structure.
第一个测试是向一个变量中写入一个最简单的值(这里使用字面量的数值1)，结果如下图显示，很有趣。
My first tests involved writing a simple value to variables (literally, the value 1). The results were interesting.
数值例子的结果显示，该算法对处理大规模问题高效的，并且可大大提高精度。
The numerical results show that this algorithm is very effective for large scale problem, and the precision is improved.
结果显示，当放大器的负载网络取不同参数值时，分别得到高q值的正弦输出电压和低q值的非正弦输出电压。
The results showed that the sinusoidal output voltage at high Q and non-sinusoidal output voltage at low Q were obtained respectively when the parameters of the load network got various.
数值实例显示这一方法的计算结果非常准确。
Numerical examples show that the present method provides very accurate results.
最后，用数值优化中的三个测试函数对该算法进行测试，仿真实验结果显示该算法可有效地提高算法的全局搜索能力。
Finally, the algorithm is tested by three test functions of numerical optimization. The emulational experiment results show that this improved algorithm has greater probability of convergence.
试验结果显示，正常燃烧与部分燃烧的离子电流信号在数值上差异较大。
The results show that the value of the ion current is different between the normal combustion and partial burning.
现场改造结果显示，运用数值计算和模化实验相结合的方法对锅炉进行改造，具有广阔的应用前景。
The field retrofitting results show that the combination of cold tests with numerical calculations has prosperous application in retrofitting or renewing medium and small boilers.
数值模拟结果显示混凝土破坏过程实际上就是微裂纹萌生、扩展、贯通，直到宏观裂纹产生导致混凝土失稳断裂的过程。
The numerical simulation results show that the initiation, propagation and linking each other of crack in concrete samples at mesoscale level produce the macro-failure of concrete samples.
数值结果与分析显示，基于分形漏桶的GPS系统性能模型对自相似业务流具有较好的性能。
Numerical simulations demonstrate that the performance model of a GPS system based on fractal leaky bucket regulators is suited for the self-similar traffic.
三维粘性数值模拟的结果显示新低压涡轮效率在高空低雷诺数情况下比设计点下降2.3个百分点。
The results of 3d viscous numerical simulation show that the efficiency of new LPT decreases 2.3 percent under the low Reynolds number condition, which was compared with that of design point.
利用岩石破坏过程分析软件——RFPA2D对该模型进行数值模拟，模拟结果显示了重力坝破坏的三种模式：表层滑动、深层滑动及混合滑动。
The failure process of the model was simulated by RFPA2D software. Simulation results show three failure modes of gravity dam, such as surficial slide, deep slide and mixed slide.
数值实验证实了理论结果，显示估计是稳健的。
Numerical experiments support these theoretical results and indicate that the estimates are stable.
数值计算的结果显示本文提出的参数优化方法是可行的、有效的。
It is showed that the parametric optimal design method is feasible and effective by calculative results.
地下强爆炸波的数值模拟计算结果显示，所建模型是合理的和有效的。
The results of numerical simulations for underground explosion-induced wave indicate that the proposed model in this paper is effective and available.
在悬臂上进行最优控制的数值仿真结果显示该最优控制方法能充分利用控制作动器迅速抑制结构振动。
The optimal control law was simulated for a cantilever beam with the results showing that with the cable actuator, the structural vibrations were rapidly attenuated.
同时给出了数值模拟结果，结果显示其方法是可行的。
And the result of value analogy is given and proved to be feasible.
数值计算结果显示同步变长码的抗误码扩散概率随其移位对称数的增加而减少。
The numerical calculation results demonstrate that the error resiliency of SVLC decreases with increasing shift symmetry.
数值计算结果显示同步变长码的抗误码扩散概率随其移位对称数的增加而减少。
The numerical calculation results demonstrate that the error resiliency of SVLC decreases with increasing shift symmetry.
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