查询词典 geometric series

And geometric sequence corresponding series is called geometric progression, also known as geometric progression.

与等比数列相应的级数称为等比级数，又称几何级数。

Product sum of geometric series.

几何加权级数的乘积和。

The essay discusses the characters of the second order linear recurrent sequence, which any number three , number four and number five terms of sequence nestie up, and develops the definition of the arithmetical progress and the geometric series in the united form according to these characters.

讨论了二阶线性递归数列任意相邻三项、四项、五项的性质，并且由性质导出了等差数列与等比数列在统一形式意义下的定义。

ABSTRACT This paper summarizes our researches on two key techniques in curve and surface modeling-the geometric approximation techniques and the geometric interpolation techniques. The former includes three types of geometric approximation techniques: Hybrid polynomial approximation to rational curves and surfaces, offset curves and surfaces approximation, interval Bézier curves and surfaces approximation. The latter includes a series of algorithms for shape blending modeling: the MSI algorithm for shape blending between space polylines or trees, the MSI algorithm for shape blending between triangular meshes, and skeleton-based shape blending algorithms using triangular decomposition and star-shape decomposition.

本文是作者对曲线曲面造型中两类核心技术几何逼近技术和几何插值技术的研究成果的总结，其中前者包括有理曲线曲面的Hybrid多项式逼近、等距曲线曲面逼近和区间曲线曲面逼近等三类几何逼近方法；后者包括用于形状混合造型的几何插值方法的一系列算法：空间多边形形状混合的MSI插值算法、三角网格形状混合的MSI插值算法、树的形状混合的MSI插值算法以及基于骨架树形状混合的三角剖分算法和星形剖分算法。

With the development of the information era, the quantity of information increases in the way of geometric series, and people find that it is more and more difficult to obtain valuable informatin and it is incogitable to find out the rules hiding in the information.

随着信息时代的发展，信息量呈几何级数增长，人们发现从这些海量信息中获取有用的信息越来越困难，要找出信息背后隐藏的规律更是不可想象。

In the paper, a series of metallorganic compounds have been studied by the quantum-chemical calculation with proper basis sets, including:1. a series of carbonyl complexes.2. dibenzene chromium and its derivatives3. ferrocene and its derivatives4. a series of metallic complexes with acetylacetoneWe optimized the geometric configurations of a series carbonyl complexes including Ni4 Fe5, Cr6 with density functional theory B3LYP method at the different levels and confirmed the stable geometry by vibrational analyses. Then we calculated the nuclear magnetic resonance spectra with GIAO method provided by GAUSSION98 program at the different levels.

本文用量子化学计算程序，用密度泛函B3LYP方法，在恰当基组水平上，用GAUSSIAN98程序提供的GIAO方法研究了系列金属有机化合物的核磁共振谱：一、羰基配合物系列：二、二苯铬及其衍生物系列：三、二茂铁及其衍生物系列：四、乙酰丙酮的配合物系列：我们用密度泛函B3LYP方法，在不同基组水平上对第一过渡系羰基化合物的系列配合物进行了结构优化，通过振动分析确定其稳定构型，然后再用密度泛函B3LYP方法在不同基组水平上，用GAUSSIAN98程序提供的GIAO方法计算其核磁共振谱。

Based on the technique of PIV,We calculated the light intensity of the bubble interface and discovered that the intensities of lighr reflected or refracted twice succeedingly abide by the rules of geometric series , and the light will disappear after reflecting or refracting 4 times by the bubbles.

基于粒子成像测速的流体可视化技术，根据菲涅耳公式计算了入射到水中气泡界面的光强，得出点光源连续两次反射或折射的光强具有等比数列的规律，光线在气泡界面反射、折射4次就变成完全偏振光且光线几乎消失。

There is all kinds of information online,it is estimated that there are 30 million URL and 3.5 billion pages of papers,moreover,the quantity of the papers increases with geometric series.Facing so much an information resource,it has been very unconvenient to browse with a browser,for a user,to find information is looking for a needle in a bottle of a hay.

网上的信息浩如烟海，据估计，因特网上目前有3000万URL和35亿页文件，而且文件数量按几何级增长，而面对如此大量的信息资源，通过浏览器一步步浏览已十分不便，用户要在信息海洋里查找信息，就象大海捞针一样。

For the purpose of publishing the special needs of, and sometimes the use of non-geometric series, such as 12 open folios, 18 and 20 and 24 open, 28 and 36 open, etc.

为了出版中的特殊需要，有时采用非几何级数的畸形开本，如12开、18开、20开、24开、28开、36开等。

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GB1235-76系列O型密封圈、GB34521-82系列O型密封圈、其它液压气动用O形橡胶密封圈；2、U形密封圈、Y形密封圈、Yx形密封圈、X形密封圈、J形密封圈、鼓形密封圈、蕾形密封圈、各种几何图形电器密封圈、变压器密封圈；3、HG4-692-67系列骨架油封、JB2600-80系列骨架油封、国产进口机械配套油封；4、各种型号规格高压钢线纺织胶管；5、各种胶条、胶棒、防尖圈、JB982-77系列组合密封垫圈、减震垫，标准与非标准件、杂品的生产；6、还可根据用户自行设计的特异性产品图样，我厂给予设计、试验并加工制作成产品。

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。