数值计算

Consequently, it is meaningful to systematically get optimal solving of LRP models. Contribution of the research is the innovation in big scale mathematical calculation of NP-hard problem and it is also the academic foundation of developed city logistics distribution systems on account of electronic commerce. The research has extraordinary significance to developed self-action logistics distribution software in large amount of electronic commerce dealings.

因此对LRP模型进行系统化优化求解研究具有重要的理论价值，其理论意义则在于针对NP-hard模型大规模数值计算的解法突破和创新，同时也是发展基于电子商务的城市物流配送理论的重要理论基础，这将为日后面对巨大交易量的电子商务环境下开发自动物流配送调度系统软件具有非常重要的现实意义。

The evolution process of self-excited thermoacoustic oscillation in a standing wave tube with a resonator was simulated successfully.

对热声板叠的长度、热声板叠在共振管中的位置以及共振腔的几何大小对热声振荡振幅的影响进行了数值计算。

In a wave energy system, an important consideration is the self-starting capability of the turbine.

系统研究了威尔斯透平的自起动性能，建立了透平在规则往复流与不规则往复流中的自起动过程数学模型，研究了波高和波频等参数对自起动过程的影响，并将数值计算结果与实验数据进行了比较，结果较为一致。

The effects of in plane stretch, in plane shear and the bending of the fabric are all taken into account in the model.

这些极有前景的应用关键之一是准确而快速的纺织物下垂数值计算模型。

For wings of arbitrary plan forms, sideslip aerodynamic characteristics have been calculated numerically an...

对几种平面形状的机翼侧滑气动力特性进行了数值计算，并与实验作了比较。

For wings of arbitrary plan forms, sideslip aerodynamic characteristics have been calculated numer...

对几种平面形状的机翼侧滑气动力特性进行了数值计算，并与实验作了比较。

As an approximate method,with the trigonometric function,the simple pendulum dynamical equation is simplified,and the approximate formula for the period of simple pendulum movement is presented.Comparison is made between approximate formula and exac...

对近似公式和精确公式进行了对比，最后进行了数值计算，结果表明，所得到的单摆运动周期的近似公式在大多数情况下都与精确公式符合的很好。

Chapter four studies the chaotic responses in a system consisting of simple pendulum and harmonic oscillator under bounded noise excitation. Firstly, the Melnikov function of the two-degree-of-freedom system under Hamiltonian perturbation is derived. The essential condition of the autonomous system for the probable onset of chaos is obtained, the Poincare maps of the system under small Hamiltonian perturbation and the effect of increasing perturbation on the Poincare maps are studies. Then for the non-autonomous system under damping and harmonic or bounded noise excitation, the largest Lyapunov exponent and Poincare maps are calculated. From the analysis of the largest Lyapunov exponent, the critical criterion for the onset of chaos, and the conclusion that the threshold of bounded noise amplitude for the onset of chaos in the system increases as the intensity parameter of Wiener process increases are obtained. The result from the analysis of Poincare maps is in agreement with that obtained from the Largest Lyapunov exponent. The effect of varying damping coefficient and intensity parameter of Wiener process is also analyzed.

第四章研究了有界噪声激励下的两自由度单摆—谐振子系统的混沌运动，首先推导了该两自由度系统仅在Hamilton扰动下的Melnikov函数，得到该自治系统可能产生混沌的必要条件；研究了该系统在小的Hamilton扰动和增大摄动情形下的Poincare截面；然后对有阻尼、谐和或有界噪声激励下的非自治系统数值计算了其最大Lyapunov指数和Poincare截面；从Lyapunov指数分析得到了这个两自由度系统产生混沌运动的临界条件及产生混沌的临界激励幅值随Wiener过程强度参数值的增大而增大的结论，Poincare截面分析的结果亦符合Lyapunov指数分析的结论；研究了Wiener过程强度参数、阻尼系数变化对Poincare截面的影响。

Here, using the mathematica software and the outcome of the computation , we can see which interval is better easily. In chapter 2, the author firstly studies three two-stage simultaneous confidence intervals for the pairwise treatments with the same precision and reliability in a balance one-way classification model ,then work out the optimal sample size of the first stage by numerial computation.

第2章作者讨论了平衡单向分类模型中，成对效应对照的三种两步同时置信区间，接着在保证三种区间可靠度和精度相同的情况下，利用数值计算的方法对最优第一步抽样量及平均抽样次数进行比较。

The single-phase flow in fracture and cave is studied on the base of numerical computation and experiment.

用数值计算和实验的方法研究单个裂缝－溶洞中单相流动问题。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。