查询词典 geometric series

It is pointed out that Ming Antu was the first inventor of Catalan numbers in the world . He constructed one geometric model, in which some infinite series with Catalan numbers as coefficients were contained.

指出了明安图是世界上第一位卡塔兰数的发明人，他构建了一个几何模型，在这个几何模型中包含了用卡塔兰数作为系数的无穷级数。

Such as measurement of refractive index distribution is one of the most important test, and thus can be measured optical fiber preform of a series of geometric parameters such as core / package ratio, concentricity, roundness and so on.

比如折射率分布测量就是其中一项最重要的测试，并由此可测得光纤预制棒的一系列几何参数，如芯/包比、同心度、不圆度等。

Peachtree Lighting Introduces 3 Elegant New Series of Geometric Architectural Pendants for Use in Low Energy LEED Certified or 'Green' Buildings - Covington Ga.

桃树照明新推出系列3几何建筑典雅吊坠用于低能低能电子衍射证实或'绿色'大厦-covington共性的桃树照明，领先点源节能建筑扎实照明瓶、装饰灯具、家庭推出三项新产品。

For the long composite cylindrical panels, including the influences of the transverse shear deformation, rotatory inertia and initial geometric imperfections, the nonlinear dynamic equations of the long composite cylindrical panels were derived from Hamilton's philosophy. The nonlinear partial differential equations were transformed to ordinary differential equations by expansion in series and solved numerically by fourthorder Runge-Kutta method.

针对含初始几何缺陷的复合材料圆柱曲板，考虑横向剪切变形、转动惯量、初始几何缺陷以及非扁壳等诸多因素，利用Hamilton原理导出复合材料长圆柱曲板的非线性动力方程；用级数展开把非线性偏微分方程组转化为二阶常微分方程组，并由四阶Runge-Kutta方法数值求解。

In chapter 3, on basis of the first order shear deformation theory, a series of composite laminated beam elements are developed, which are plied transversely, longitudinally and/or assembled both, respectively. A geometric nonlinear element stiffness matrix for the transversely plied laminated beam is presented.

第三章首先介绍了目前已有的在小变形下的横向层合梁、纵向层合梁和组合层合梁理论，并推导了其相应的有限元列式，然后又基于Von-Karman大挠度理论的几何关系，推导了大变形下横向层合梁的单元切线刚度阵。

The influence of initial imperfections on the stability ofcomposite laminated plates was studied by solving the nonlinear governing equations for laminated plates with elastical restraints subject to in-plane loading using the energy variational principle and nonlinear geometric equations incorporating the initial imperfection. The governing equations were solved using generalized Fourier series to obtain the effect of the non-uniform order term.

为深入研究初始缺陷对复合材料层板稳定性的影响，利用能量变分原理和考虑初始缺陷的非线性几何方程，建立了具有弹性约束的层合板在面内载荷作用下的非线性稳定性控制方程组，运用广义傅立叶级数法对其进行求解，并进一步获得了影响非线性稳定性控制方程组的性质的非齐次项。

Based on the theory of gearing and differential geometry, a series of geometric relationships between conjugate tooth surfaces are analyzed, basic relationships of normal curvature as well as geodesic torsion between conjugate tooth surfaces are derived mathematically for the most general form of gearing.

基于微分几何和齿轮啮合理论，分析了共轭啮合齿面间的一系列几何关系，从而揭示了两个作空间共轭啮合运动的齿面之间的法曲率、短程挠率的内在几何联系。作为上述理论的具体应用，研究了准双曲面齿轮传动两齿面之间在给定参考点处的法曲率、短程挠率的关系

Based on the theory of gearing and differential geometry, a series of geometric relationships between conjugate tooth surfaces are analyzed, basic relationships of normal curvature as well as geodesic torsion between conjugate tooth surfaces are derived mathematically for the most general form of gearing .

作为上述理论的具体应用，研究了准双曲面齿轮传动两齿面之间在给定参考点处的法曲率、短程挠率的关系。

Of the series and several columns do not understand please see this article: Series and the concept of a1, a1q, a1q2, a1q3 ...., called the common ratio for the q of the geometric sequence.

对级数和数列不了解的请先看这篇文章：数列与级数的概念a1， a1q， a1q2， a1q3。。。。，称为公比为q的等比数列。

Of Song of ≡ of stalk of paddle of ⒎ of shaming calf Sui solve this kind of problem, want to use observation, Baconian, guessed method adequately, resolution gives involves issue to belong to model of which kinds of series, build corresponding equal difference, geometric ratio, or the model of recurrence series.

解答这一类新问题，要充分应用观察、归纳、猜想的手段，分辨出所涉及的新问题属于哪种数列模型，建立相应的等差、等比、或递推数列的模型。

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。