导出方程

In Chapter 4,the site-symmetry projector is constructed to produce thecomplete symmetry-adapted orbitals.Based on this,we deduce the energy equationcontaining all the interactions of〓orbitals,the H〓ckel model secular equation,andthe energy expression containing the second neighbor hopping.Also we discuss theeffect of the second neighbor hopping on the electronic structures and properties offullerenes.

第四章阐述与位置对称性有关的投影算子的构造及其在处理富勒烯的π电子结构中的应用，导出了π轨道的所有相互作用都包括在内的能量本征方程，一极近似下的久期方程，和二级近似（考虑π轨道的次邻接相互作用）下的能量表达式，并且一般性地讨论了次邻接相互作用在富勒烯的电子结构和性质中的作用。

Then, one class of second-order semilinear differential systems with two parameters is considered.

第五章，用锥上的Deimling不动点定理分别讨论了依赖于参数的一阶中立型泛函微分方程和一阶中立型泛函微分系统，导出了一阶中立型泛函微分方程以及一阶中立型泛函微分系统存在两个正周期解，存在一个正周期解以及不存在正周期解的充分条件。

Based on the generalized potential energy variational principle of nonlinear elasticity theory with large deflection,the incomplete generalized potential energy functional is established on the space coupling free vibration of three-span self-anchored suspension bridge by considering the effect of coupling of flexural and axial action,and shearing strain energy of stifening girder.

摘 要：基于大位移非线性弹性理论的广义变分厚理，考虑了加劲梁的压弯耦合和剪切应变能的影响，建立了三跨自锚式悬索桥空间耦合自由振动的大位移不完全广义势能泛函，通过约束变分导出了自锚式悬索桥的竖向挠曲振动、横向挠曲振动和纵向振动的基础微分方程，忽略非线性项的影响，进而得到线性振动微分方程。

Chapter 3. Make use of the unified field equation not only deduce the motional equation for matter, but also still have get the spacetime metric of the unified field and spherically symmetry electromagnetic metric.

第三章 利用统一场方程不仅导出物质的运动方程，而且还得到了统一场的时空度规和球对称电磁度规。

In the present work, we educed the systematic energy functional of the binary lipid membrane model. And based on the phase kinetics of continuous systems, we established the governing equations for the phase separation in binary lipid membrane under stationary shear flow. Then, by means of the cell dynamical system approach, the equations were numerically solved, intuitively giving out the domain morphologies and membrane shapes.

在本论文工作中，我们导出了两组分磷脂膜模型的系统能量泛函，基于连续系统的相场动力学，建立了稳定剪切流场作用下的两组分磷脂膜的相分离动力学控制方程，进而利用元胞动力学系统方法对控制方程进行数值求解，直观地给出了微区域形态和膜形状。

In this paper, the dynamic equation of thin axisymmetrical shell involved rotation angle has been derived by lagrange equation using semi-analytical method.

本文采用半解析方法，利用拉格朗日方程，重新推导了包括转角在内的旋转薄壳的动力方程；利用加权余量法导出了壳内流体的考虑了压缩性影响的运动方。。。

Based on the meshing theory and geometry relationship between rotors of cycloidal pump , the position and velocity vector equations of meshing point are given, and the sliding coefficient formula are derived.

根据摆线泵转子间的啮合关系建立了啮合点在各坐标轴中的矢量方程，导出了啮合点的速度矢量方程和齿廓相对滑动系数的计算式，并以实例作出了运动速度和滑动系数随转子转角的变化曲线，并分析了影响滑动系数的因

Based on the basic equations of electromagnetic waves transmit in waveguide, then focus on three different geometric border waveguide (rectangular, deltaic, cylindrical) for discussion ,the basic equations of electromagnetic waves in rectangular waveguide , deltaic waveguide and cylindrical waveguide are got.

本文在得出求波导中电磁波的基本方程后，针对三种不同几何边界的波导管进行讨论，导出了电磁波在矩形波导、三角形波导和圆形截面的空心波导中传播的基本方程。

By introducing a parametric canonical transformation,Hamiltonian constraintequation in SO(3)ADM phase space is transformed into the parametric formin the Ashtekar phase space.

本文中提出了一个参数化的正则变换，将Palatini理论中SO(3)ADM相空间中的哈密顿约束方程变换到阿西特卡相空间，由此导出参数化的约束方程。

The microstructure evolution and composition distribution of the 7A55 cast and homogenized alloy were studied by optical microscopy, scanning electron microcopy, energy dispersive spectrometer, transmission electron microscopy and X-ray diffractometry. The homogenizing and overburnt temperatures of the alloy were determined. Meanwhile, the diffusion kinetics of the alloy elements during homogenizing treatment was investigated and the homogenizing kinetic equation was deduced according to Fick's First Law of diffusion. The diffusion of alloy elements, precipitation of Al3Zr particles and the conglomeration and globe of the insoluble phases were explained by the equation during homogenization.

摘 要：采用光学显微镜、扫描电镜、能谱分析、透射电镜和X射线衍射分析等研究了7A55合金铸态与均匀化显微组织演化与成分分布，确定了该合金的均匀化处理温度与过烧温度，研究了铸锭均匀化动力学过程，利用菲克定理导出了均匀化动力学方程，利用动力学方程对均匀化过程中合金元素的扩散、 Al3Zr的析出、难熔相的聚集和球化现象进行了解释。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。