几何级数

Is the start of a geometric progression.

1-4-16-64-256-是一个几何级数的开始。

Geometric progression - Geometric series ; arithmetic series - arithmetic-level ...

几何级数——等比级数；算术级数——等差级。。。

Arithmetic progression: starting from the second, an increase each by the former posed a constant sequence, such as the odd-numbered 1,3,5,7 ... geometric progression: from the second onwards, each of which is th power of the number of previous ...

算术级数：从第二项起，每一项均由前一项加一个常数所构成的序列，如奇数1，3，5，7…几何级数：从第二项起，每一项是前一项的多少次方。。。

This paper intends to apply three mathematic progressions, namely arithmetic progression, Fibonacci progression and geometric progression to arrange the numbers into several groups by certain rules.

本文用三个数学级数即算术级数、斐波那契级数、几何级数，按一定的规则排列成一组数，根据每一组数的排列关系，反映人类资源供给与需求增长的级数关系。

While there are several network structures, the value of network increases arithmetically, geometrically or exponentially with its size.

网络结构可以分为多种，网络的价值可分别以算术级数、几何级数和指数等形式递增。

Parson Malthus predicted mass starvation 250 years ago, as the population was growing geometrically, doubling each generation, while agricultural production was going arithmetically, by 2 percent or so a year.

帕尔森·马尔萨斯在250年前就曾预言大饥荒不可避免，理由是，随着人口以几何级数的爆增，每一代人的数量都翻了一番，而农业产量每年只有屈指可数的百分之二左右。

With the development of RS and avigation technique at very fast speed, image data are increasing by the speed of geometric series. Multi-origin RS data's amalgamation and modeling is the key of their management. So the data integration study has been a hotspot.

随着遥感技术和航空航天技术的飞速发展，遥感影像数据呈几何级数增加，多源遥感数据的融合和建模是影像数据管理的关键，因此多源遥感数据的集成研究一直是人们关注的热点问题。

This thesis is focused on the properties of geometric series in analysis and its application.Keywords: geometric series, convergence, divergence

本文主要研究的是几何级数在分析中的性质（这里包含了在实分析中的性质与在复分析中的性质）以及几何级数的应用。

In the thesis, the basic knowledge of the basic hypergeometric series, some results of the Rogers-Ramanujan type identities and its applications in number theory are studied.

本文主要介绍了基本超几何级数的基本内容，关于Rogers-Ramanujan类型恒等式的一些结果以及基本超几何级数在数论中的若干应用。

By using this method we obtain two gen-eralized transformation formulae of q-integral form,two identities of basic hypergeometric series,as well as formal extensions for q-Pfaff-Saalschütz formula,q-Chu-Vandermonde identity and a three-term transformation formula of _3φ_2-series.

我们推广了两个q-积分形式的变换公式和两个有关基本超几何级数的恒等式，还得到q-Pfaff-Saalschütz公式、q-Chu-Vandermonde恒等式和基本超几何级数中一个有关_3φ_(2~-)级数的三项变换公式等的形式推广。

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。