条件方程

The furnace gas is applied with the ideal gas state equation.

为了改善大型渗碳炉的均匀性，本文应用数值计算方法研究圆筒形井式渗碳炉炉膛内的流动传热过程，假设炉内流场满足定常、不可压缩轴对称条件，炉内气体可以应用理想气体状态方程。

By analyzing beam elements characteristics running on idler and pulley, adding belt viscous-elastic behavior and resistance behavior, and combining take-up model and reasonable boundary, it obtained belt dynamical equations in two-dimension model.

通过分析梁单元在托辊及滚筒上的运动特性，结合输送带的粘弹特性、运行阻力特性等参数的影响，再结合拉紧装置的振动特点及合理的单元边界条件，得到了输送带二维数学模型的动力学方程。

And all of these approaches are derived from the full rank decomposition technique for the incidence matrix.

讨论了Petri网系统状态方程存在整数解的条件，即可达性的一个必要条件。

This paper develops a numerical simulation software for the numerical solutions of the three-dimensional incompressible viscous flows.

为较好地满足连续性条件的基础上得到光滑的压力解，对压力Poissom方程离散式采用了一种修正方法。

Under some conditions,the effective method in the second kind of line integrals and the differential equation is derived by using the improvising differential method of indefinite integral.

给出了在一定的条件下，利用不定积分的凑微分法得到了第2类曲线积分及微分方程的一些较为方便的解法

Motivated by this, we consider the global behavior of positive solutions of three-point boundary-value problems for second-order differential equations, under two different kinds of boundary-value problems, using fixed point theorem, fixed point index theorem and cone theory.

本文受到文献[7]的启发，运用不动点定理、不动点指数定理以及锥理论，分别研究了两种不同边值条件下二阶微分方程三点边值问题正解的整体性。

Based on the statistics of large amount of data,a regression equation of the relationship between tensile strength and hardness of gray irons melted in medium frequency induction furnace was built.

对大量的测量数据进行了统计分析，建立了在中频感应电炉熔炼灰铸铁的生产条件下抗拉强度与硬度之间的回归方程。

This paper,on the basis of motion kinetics equation,after considering the inertial force,infers the theorem of kinetic energy in non-inertial system .

从质点组相对运动动力学方程出发，考虑每个质点受到的惯性力，推导出非惯性系的动能定理，并在此基础上对机械能守恒进行研究，给出了惯性力为保守力的条件。

A series of theoretical and experimental studies on the microstrip patch antennas with dielectric superstrates is carried out systematically. Firstly, a comprehensive survey of the microstrip antenna technology and its theories are presented. Then, two analysis techniques, named as the spectral domain Green's function method and the spectral domain integral equation method are developed. The SDGF method is a simplified analysis technique, which takes advantage of the spectral domain immittance approach to find the dyadic Green's function for the stratified media, and obtains the complete closed-form formulas for radiation patterns, directivity, efficiency, gain etc. Some interesting calculated results are presented. The SDIE method is capable of determining resonant frequency, radiation characteristics, input impedance etc, for the covered microstrip patch antennas. Comparing with other full-wave analyses it reduced computation and mathematical labour remarkably. The singularities near the pole location of the surface-wave modes and the difficulty of the integral computation over infinite range of oscillating integrands are dealt with actively and documented well. Results predicted by the SDIE method agree extremely well with our experimental results for resonant frequencies of various superstrates. The superstrate effects on impedance and radiation characteristics also have been investigated experimentally so that the gap due to lack of measured data and computed results for multi-layered superstrate has been filled to some degrees and two useful observations have been achieved for weakening the resonant frequency shift and optimizing the microstrip antenna gain. As a meaningful application, the design and analysis of a 4×4 patch array are introduced.

实用微带天线普遍加介质覆盖层来防护热，物理损伤和环境影响，也可能在飞行或严酷气候条件下自然形成覆盖层本论文对带介质覆盖层的微带贴片天线系统地作了一系列理论和实验研究首先，对微带天线技术和理论作了全面的综述然后，发展了两种分析方法，称为谱域格林函数法和谱域积分方程法SDGF法是一种简化的分析技术，它利用谱域导抗法来求得分层媒质的并矢格林函数，并得出方向图、方向性系数、增益等参数的完整的闭式公式，给出了一些令人感兴趣的计算结果SDIE法能确定介质覆盖微带天线的谐振频率、辐射特性和输入阻抗等与其它全波分析方法相比，它明显减小了计算量和数学工作量已有效地处理了表面波模极点附近的奇异性和对振荡的被积函数的无限区间积分计算的困难对于不同覆盖层情况下的谐振频率，由SDIE法所预示的结果与我们的实验结果吻合得很好对于覆盖层对阻抗和辐射特性的影响也已作了实验研究这在某种程度上填补了缺少实验数据和计算结果之间的间隙，并得出了缓解谐振频率偏移和优化天线增益的两点有用的结论作为有意义的应用，介绍了一个4×4元矩形贴片天线阵的设计和分析。

According to longitudinal vibration partial differential equation of rod, the longitudinal vibration displacement response of uniform infinite rods by the harmonic point forces was derived.

longitudinal vibration ； wave approach ；从杆纵向振动的偏微分方程出发，推导了无限长杆在简谐点力作用下的纵向振动位移响应，在此基础上，基于结构线性假设和波的叠加原理，得出了有限长梁纵向振动谐响应的波动表达式，列出了常用的边界条件。

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。