数值方程

The simple and accurate numerical solution of the transcendental equation is given. The relationship between multivalued spacing of relative permittivity, measuring frequency and length of the sample has been gained.

给出超越方程的简单准确的数值解法，得到了相对介电常数多值间隔与测量频率和样品长度的关系。

A new numerical calculation method has been used to solve the relativistic Hartree-Fock equation of atomic system.

采用一种新的数值计算方法求解原子体系的相对论Hartree-Fock方程。

Use the C Language Chinese Remainder Theorem algorithm input equation, the number of a numerical input for each two!

使用c语言实现的中国剩余定理算法首先输入方程数目，在分组每次两个数值输入！

All the conclusions obtain here are well consistent with the corresponding results derived by the dynamic renormalization group theory, numerical simulation and experiment.

这里所得到生长方程的奇异标度性质与利用重正化群理论、数值模拟以及实验相符很好。

It was found that the residual pulsant Reynolds stress term of coherent structures has the same order of magnitude with the Reynolds stress contribution term of random fluctuation and can not be ignored in the dynamic model of coherent structures. This is not as that estimated before.

研究发现，相干结构剩余脉动雷诺应力项在数值上具有和随机脉动对相干结构贡献的雷诺应力相同的数量级，表明在相干结构动力学模型方程中，相干结构剩余脉动雷诺应力项并不像以前佑计的那样可以忽略不计。

First, based on the analysis of the grid Reynold number, the necessity for adopting high order scheme is emphasized when there is the complex flows with strong separation and high parameters gradient regions. Then, according to the entropy increased condition, the third order ENN scheme is constructed. Meanwhile, a fast, effective, and simple implicit numerical method called hybrid flux splitting method is developed. After that, the one dimensional model problem with many extrema and Burgers equation are simulated. Through the comparisons with exact solutions, the accuracy and effectiveness of the ENN scheme are confirmed.

首先通过对网格雷诺数的分析，论证了在求解含分离及较大参数梯度的流动时，采用高阶格式的必要性，然后从熵增原理出发，提出了建立三阶ENN格式的准则，同时发展并建立了一种快速、有效的简单隐式算法"混合通量分裂法"，通过对一维模型问题及Burgers方程的数值试验，检验了三阶格式的计算精度。

By the intake form of the equations of motion of celestial bodies complex, there is no rigorous analytical solution, common analytical methods and numerical methods seek an approximate solution, the former is called the general perturbation, the latter as a special perturbations.

受摄天体的运动方程形式复杂，没有严格的分析解，常用分析方法和数值方法求近似解，前者称为普遍摄动，后者称为特殊摄动。

The characteristics of RIN in VCSELs are investigated using analytical calculation and numerical simulation.

基于速率方程对VCSEL的横模进行了数值模拟，并与解析结果进行了对比分析。

Combining mechanics theory of yield and fracture of ductile metal in classical strength theory with microcosmic fracture mechanics,and by studying fracture stress field in root of notched bar made of constructional steel,the author brought forward loci equation of constructional steel in stress triaxiality space.

结合古典强度理论和微观断裂力学对金属屈服和断裂解释的力学原理，通过对结构钢深槽刻痕杆刻痕根部微观断裂应力场的数值模拟，导出了结构钢在应力三轴空间的屈服轨迹方程。

By analyzing the distribution of the roots of the characteristic equation according to Rouche theorem, the stability condition of this dynamical system is investigated and Hopf bifurcations are demonstrated. The bifurcation graph can be obtained and some simulation examples are shown.

利用儒歇定理及其推论分析了该动力系统特征方程根的分布情况，进而得到该系统解析解稳定和Hopf分支存在的条件，画出了分支图，给出相应的数值例子。

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。