查询词典 structure equations

We reproduce the well-established and self-generated magnetic field equations, which are nonlinear partial differential equations.

我们证明该非线性偏微分方程具有塌缩波解，并用标准的数值方法解此方程来验证分析结果。

This thesis is concerned with the existence of solutions of semilinear evolution impulsive equations as well as the existence of positive solutions of them. And the existence of solutions for terminal problems of impulsive differential equations is also concerned in this thesis.

本文主要研究半线性发展脉冲微分方程解和正解的存在性，以及脉冲微分方程终值问题解的存在性。

After neglecting the background losses, the rate equations describing the compound system can be changed into a set of algebra equations.

利用这些结果分析了系统的一些特性，比如耦合器的分光比和不同泵浦功率对输出功率的影响等。

In SHET, equations which represent relation of fundamental component and preparatory eliminated harmonic components are a system of nonlinear, transcendental equations that require the interative Newton-Raphson matrix method for its solution, and convergence in solution depends on whether or not starting value given is right.

特定消谐技术中，表征基波及各次谐波幅值与开关角关系的方程组为非线性超越方程组，一般只能采用牛顿迭代法等数值方法求解，而解的收敛性取决于所给初值的正确与否。

In order to probe the absorb coefficients of earth medium by the direct wave, reflected wave and transmied wave amplititude which are picked up from the radar wave racords yielded by finite element method,the paper gives out the attenuated radar wave equations in time domain and the attenuated radar wave differential equations while the motion changes simple harmonic with time and electric parametets change slowly with space.

摘 要 为了用有限元方法生成雷波正演记录，从而拾取直达波、反射波、透射波振幅信息，以确定介质吸收系数，文章在时间域给出了雷达波含衰减项的波动方程，及在运动随时间简谐变化以及电性参数随空间缓变的条件含衰减项的雷达波遵循的简化微分方程。

In the first part, considering a linear dynamic system, system's differential algebraic equations are converted into algebraic equations using Simpson's integration rule, which can be solved easily by the steady-state data reconciliation theories for this dynamic data reconciliation problem.

在第一部分，考虑线性动态系统情况下，以辛普森积分法将系统动态方程式转换成代数方程式，接下来可利用稳态数据调和理论解决此动态数据调和的问题。

In the secondary modeling,"Hidden Euler" approach is applied to solve the nonlinear simultaneous differential equations, and the discrete nonlinear algebraic equations are calculated by "Newton-Raphson" numerical approach.

二次建模时，采用隐式欧拉法求解常微分方程组，离散后形成的非线性代数方程组采用牛顿-辛普生方法进行计算。

The results show that the simplified viscoelastic equations not only have the better effects of single-shot records, but also have a better computational efficiency than Carcione's viscoelastic equations and it agrees well with the theoretical analysis.

结果表明该简化方程模拟得到的单炮记录不仅具有较好的效果，而且比Carcione黏弹性波方程计算效率高，与理论分析基本相符。

Finally, by using a semi-open quadrature rule, the singular integral equations were transformed to algebra equations.

最后，由位错密度函数得到各裂纹分支端的应力强度因子值。

Especially, the generalized matrix is extremely important in singular linear ordinary differential equations systems and the solution of singular difference equations systems.

特别地，这种广义逆矩阵在奇异线性常微分方程组以及奇异差分方程组求解问题中有重要的应用。J.H。

In the chapter 2, the theoretic knowledge about the photosensitive resin and the grinding tools was firstly introduced.

第二章阐述了光固化树脂结合剂磨具的相关理论研究。

Do not use the program's indenting or margin-setting features; these will be added during typesetting.

不要使用缩排，页面边缘设置之类的选项，偶看不大懂。