导出方程

The connected curve equation after spreading connected joint of taper container are derived,the new blanking method with computer is put forward.

导出了圆锥形容器接管交线在展开接管表面后的曲线方程，提出了用计算机绘制其交线，即放样下料的新方法。

In the seventh chapter, the infinite conservation law of the obtained equation hierarchy in chapter 4 by use of direct method.

在第七章中，利用直接方法导出了第四章中所得方程族的无穷多守恒律。

Starting from the conditions of law of conservation of energy and angular momentum,how to deal with simple disposal of several physical equations of the planetary motion by applying the elementary mathematical equations is proposed.

从角动量和能量守恒定律出发，建立行星椭圆运动的轨道方程，导出行星运动时的各个物理量表达式，从而给出了一种以初等数学为基础的处理行星运动的简洁方法。

In the thesis, the fundamental formula of FFD method derives from the square root that is approximated by a continued fraction expansion in the one-way wave equation. Optimizations of the parameters of the finite-difference operator improve the validity of the method.

本论文用连分式近似单程波波动方程中的平方根导出FFD算法的基本公式，并对FFD算法中的有限差分算子进行了系数优化，进一步提高了计算的有效性。

Using the new principle.Leopold hydraulic geometry can be derived from continuity equation of flow.

运用比例协调原理，Leopold公式可以从水流连续性方程直接导出。

In order to explain the phenomena of negative capacitance in light-emitting diodes, we presented a new model based upon the local strong recombination in active region. And we deduced the analytic expression of NC from continuity equation.

为解释发光二极管中的负电容现象，提出了在有源区与局部强复合效应有关的新模型，首次通过对载流子连续性方程的求解导出了NC的解析表达式。

Employing the D'Alembert's principle in virtual work,thedynamic equations of the deployable VGT are derived.

利用D'Alembert虚功原理导出展开动力学方程。

The variable geometry truss mechanisms have been studied extensively and systematically by this project. The research plan has been completed all sidedly, and expected results have been obtained. Three new kinds of combination decahedrons and a new class of variable geometry truss mechanism, which is composed of an octahedron and three tetrahedrons connected in parallel form, are proposed. The position analyses for decahedrons, dodecahedrons, triple-octahedrons, combinations decahedron and a new type of structure of variable geometry truss mechanisms are presented by introducing additional extra linear displacement sensors and using resultant elimination and homotopy continuation algorithms. The method of kinematical analysis of variable geometry truss mechanisms is established.

课题组对变几何桁架机构进行了深入的研究，全面地完成了研究计划，取得了预期的成果；提出了三种新的十面体组合机构以及由一个八面体和三个四面体组成的新型变几何桁架机构的结构形式；应用结式消元、附加传感器和同伦方法等提出了十面体、十二面体、三重八面体、组合十面体和新型变几何桁架机构的位置分析方法；建立了变几何桁架机构运动分析的一般方法；建立了简洁的凯恩和拉格伦日动力学的模型；应用有限元和子结构方法，提出了变几何柞架机构弹性动力学模型，导出了逆动力学方程的显式形式；设计和研制了一台可折叠的八面体变几何杵架机构装置等。

Chapter two proposes the unified form of Hojman"s conservation law and Lutzky"s conservation law. Firstly, the author introduces the general Lie group of transformations that the variations of both the time and the generalized coordinates are considered, derives the determining equation of Lie symmetry for the system, presents a new conservation law, which contains the Hojman"s and the Lutzky"s conservation law as two special cases, and obtains a condition to exclude trivial Hojmans conserved quantities.

第二章，Hojman定理和Lutzky定理的统一形式：首先，引入一般意义下的Lie变换群(即位型变量q_s和时间变量t同时变换)，给出系统的Lie对称性确定方程，提出一个新的守恒律，Hojman定理与Lutzky定理则分别是这个新守恒律在两个特殊情况下的推论，导出一个可排除平凡Hojman守恒量的定理，并分别讨论了Birkhoff系统和非完整系统的Lie对称性和Hojman守恒量，最后，讨论了Hamilton系统的梅对称性与Lie对称性的关系，给出了由梅对称性求Hojman守恒量的方法。

In this paper, starting from Chandrasekhar's results, we find the solution of the Dirac equation with non-zero rest mass just out side the event horizon of a nearly extreme Kerr black hole and suce...

本文在此基础上，在近似极端Kerr 黑洞的事件视界附近找到了静止质量不为零的Dirac方程的解，并成功地导出了Hawking热谱公式，从而解决了Dirac粒子在Kerr 黑洞的Hawking蒸发问题。

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。