查询词典 formulae

Starting from the Laplace equation, the solution of Laplace equation, in spherical coor dinates, is developed for the boundary value problem approximating the local gravity field over a spherical cap——spherical cap harmonic analysis, and the spherical cap harmonic expansion with integral order but nonintegral degree and practical formulae are given.

从Laplace方程出发，提出了在球冠上逼近局部重力场的大地测量边值问题——球冠谐分析理论，给出了非整阶整次球冠谐展开和实用计算公式。

Derives the formulae for calculating the distortion and stress on the acting surface of flexspline load in the drive process of the harmonic gear drive with three-wave wavegenerator;(2) analyzes and compares the performance of plastic and steel products under light load drive and calculates the probably reached limit of drive ratio for both types of flexsplines under the same load;(3) applies the harmonic gear drive with three-wave wavegenerator to the small-sized multiple-revolution electric device of valves by taking into consideration of the low limit of the drive ratio for the harmonic gear drive with three-wave wavegenerator made of plastics, improves the design on the main drive mechanism of the traditional small-sized multiple-revolution electric device of valves, and validates through examples the feasibility for the harmonic gear drive with three-wave wavegenerator made of plastics to be applied to the small-sized multiple-revolution electric device of valves. Finally the author performs calculations on the two types of the flexsplines of the harmonic gear with three-wave wavegenerator by using the finite element method and analyzes the causes for the errors.

本文根据三波谐波齿轮传动的运动变形特点，采用弹性薄壳的力矩理论，推导了三波谐波齿轮传动柔轮载荷作用面上的变形及应力计算公式；分析比较了轻载传动情况下塑料和钢材的性能，计算了塑料制谐波柔轮和钢制谐波柔轮在相同载荷情况下可能达到的传动比极限；对塑料制及钢制三波谐波齿轮柔轮进行了有限元计算，分析了产生误差的原因；针对三波塑料谐波齿轮传动比极限低的特点，将之运用于小转矩多回转阀门电动装置中，对传统的小型多回转阀门电动装置的主传动机构进行了改良设计，并通过实例验证了三波塑料谐波齿轮传动在小转矩多回转阀门电动装置中应用的可行性。

It is obvious that formulae which involved such alternatives were heretical in fact as well as in origin.

很明显，涉及的公式等替代品，事实上，邪教以及在原籍地。

As applications of these formulae some pinching theorems for Gaussian curvature of holomorphic curves in G is gained.

利用这些公式，文中得到一些关于G中全纯S^2的Gauss曲率的Pinching定理。

As a result accurate computing results are verified through comparing with the test datum, while the formulae also indicates that shear span ratio is the major influence factor of horizontal projection length.

推导公式的计算结果和试验实测值取得了很好的吻合，误差小，离散程度低，同时还表明剪跨比是影响斜裂缝投影长度的主导因素。

The residual gas pressure in an electron tube can be measured when the tube itself is operated as a hot cathode ionization gauge.Usually,its sensitivity K is determined by the method of gauge calibration.In this paper,author try to determine the sensitivity K by ca- lculation.The formulae for this purpose have be found out,and are used for both plate and cylindrical electrode systems.

把电子管接成热阴极电离计的工作形式，用来测量管内残气压强时，其灵敏度如何计算的问题在本文中作了讨论，给出了平板形电极系统和圆柱形电极系统的灵敏度解析式，对式中各量的计算作了详细介绍；并指出四极管中电子在电离区的平均渡越次数的表示式与三极管中的完全不同。

The calculating formulae of restrained shrinkage of self-compacting concrete are put forward by hyperbola function in this paper.

采用双曲线函数拟合了最大收缩应变随时间变化的计算式，可为实际工程提供参考。

In a lot of fields, such as robot navigation, video surveillance, and site modeling, etc, there are needs to obtain the omnidirectional depth information of scene in real-time. In this paper, a method to realize panoramic stereo imaging utilizing two coaxial hyperboloid catadioptric cameras is presented, and its depth computational formulae are derived.

为满足机器人导航、视频监视和场景建模等领域实时获取全景深度信息的需要，提出了一种利用2个双曲面折反射相机同轴放置实现全景立体成像的方法，并推导了这种全景立体视觉系统的深度计算公式。

In chapter 4,by the inversion technique and the series rearrangement,we find two kinds of transformation formulae of the basic hypergeometric series.

第四章结合反演技巧和级数重排的方法研究基本超几何级数。

The main content of this thesis is to find and prove some summation and transformation formulae of basic hypergeometric series by the modified Cauchy method,operator method and inversion techniques,which include many well-known results as special cases,for example,q-Saalschiitz summation formula,Baileys _6ψ_6 summation formula,non-terminating Watson transformation formula and Rogers-Ramanujan identities etc.

本文的主要内容是利用修正的Cauchy方法、算子方法和组合反演技巧来发现和证明一些基本超几何级数求和公式和变换公式，其中包含一些著名的公式，如q-Saalschüz求和公式、Bailey的_6ψ_6求和公式和非终止的Watson变换公式等作为其特殊情况。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。