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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。

Some of the safe mobile codes may be rejected to execute, since there is no way to verify statically that the symbol range value of an array subscript expression in PCC.

PCC的数组边界检查存在着由于无法确定数组下标表达式符号值的范围，而造成拒绝执行一些安全的移动代码等问题。本文给出的一种数组边界检查的优化及生成算法，不仅能够比较好地解决了这一问题，同时还生成了循环不变式注解中的条件谓词。

Still, it was majestic, the white and red facade looking like a mountain in itself, standing austerely in the middle of the modern city which surrounds it.

数十年、甚至数百年来，这里举行了一场场天葬仪式，鲜血从巨岩上流下、乾涸，在岩石侧边形成一条条暗沉的痕迹。

Edge lines are extracted automatically from image, by acquiring points of extremum of first directional derivative vertical with edge line with Fourier transform in frequency domain.

同时，参考一阶方向导数的数值来排除一些非边缘点（一阶方向导数的数值为常数者，零也为常数）。

Each new kind of number has presented itself as the root of an equation that we were supposed to solve, and with the introduction of each number the power and generality of our algebraic method was increased.

每一种新的数，都是我们想解答的方程的根的代表。而随着每一种新的数的出现，我们的代数的功能和适用性都得到了增强。

We construct an explicit finite difference approximation for the equation by using the equivalence relation between Riemann-Liouville fractional derivative and Grünwald-Letnikovmake fractional derivative.

再利用Riemann-Liouville分数阶导数与Grtinwald-Letnikov分数阶导数之间的等价关系，构造一显式有限差分近似，这一离散格式可以解释为一个随机游走模型，并且收敛于稳定的概率分布。

Now I had him watching a train, counting the cars; now in abstract, lying prone atop a flatcar, bearing a machine gun.

画上的他看着一列火车，数着车厢；寥寥数笔又把他勾勒出趴在一辆平板货车上，架着机关枪；画册的最初几页画上了希特勒和墨索里尼；之后画上父母；伤心欲绝的雅克布。

Unstructured data such as text, graphic images, still video clips , full motion video , and sound waveforms tend to be large -- a typical employee record may be a few hundred bytes, but even small amounts of multimedia data can be thousands of times larger.

从数据量上看，文本，图像，视频剪辑，电影，音频波形等非结构化数据所需的存储空间十分庞大。一条典型的雇员记录可能只需数百字节，而一条普通的多媒体数据就可能数千倍于前者。

Memory 1012 may include mass storage that is remotely located from the central processing unit 1002. The memory1012 preferably stores: an operating system 1016 that includes procedures for handling various basic system services and for performing hardware dependent tasks ;zea network communication module1018 that is used for connecting the system 1000 to other servers or computers via one or more communication networks, such as the Internet, other wide area networks, local area networks, metropolitan area networks, and so on;zea system initialization module 1020 that initializes other modules and data structures stored in memory1012 required for the appropriate operation of system 1000

记忆1012可以包含海量存储从中央处理机1002远离找到。memory1012更可取地耐储藏：一操作系统1016那个包含过程触摸各种各样基本原理系统服务和表演硬件受抚养者任务；zea网络通讯module1018那个是使用相连系统1000向其他的服务器或者电脑经由一或更多通讯网络例如因特网其他的广域网局域网大都会地区网络和那样on；zea系统预置模数1020那个预置其他的模数和数据结构耐储藏在中记忆1012为系统1000的适合运作被要求

When using relative number or average number to get averaging, you may use denominator or numerator of this relative number or average number as weight number to weigh the relative number or average number,and use frequency formula or weighted harmonic mean formula of weighted arithmetic mean formula to get its mean value.

在由相对数或平均数求平均数时，可以以这一相对数或平均数的分母或分子为权数，对这一相对数或平均数进行加权，利用加权算数平均数的频数公式或加权调和平均数公式求其平均值。

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。