任意序列

The algorithm used to implement fast Fourier transform of real-valued with complex-valued Fourier algorithm and the algorithm used to compensate the decaying direct current with arbitrary decay time parameter are deduced in detail.

对其中的一种用复序列DFT算法分析实数序列的算法和一种用来对具有任意衰减时间参数的衰减直流分量进行补偿的算法进行了详细推导。

Meanwhile, I have generalized the concept of trinomial property of sequence from binary case to arbitrary finite field case, and have proved that all the results in binary case are still hold in arbitrary finite field case.

同时，本文将三项式对的概念从二元序列推广到任意有限域上的序列，并证明了对二元序列成立的所有结果对一般有限域上的序列仍然成立。

It is one of the important characters of the grey system theory to utilize grey generation modeling. The basis structures of generating space in AGO and in IAGO are respectively obtained by the mathematical research of r-AGO series and r-IAGO series. The results are the following: the coherent and direct expression of the generating basis vector in AGO and r-AGO, the relation expression between two r-AGO series and two r-IAGO series, the relation among generating basis vector, generating series and moving operator.

利用灰色生成建模是灰色系统理论的重要特点之一，通过对r次生成序列（包含r-AGO序列和r-IAGO序列）的数学研究，得到了AGO生成空间和IAGO生成空间的基本结构：AGO和r-AGO生成基向量的统一的直观表达式、任意两个r-AGO序列间与任意两个r-IAGO序列间的关系式、生成基向量生成序列与移动算子间的关系。

This paper first gives the definition of tree morphism, and then discusses the scale of use case for operating to a stack using graph theory, and gets some useful properties about operating use case to a stack.

本文首先给出了树同构的概念，然后利用图论就栈操作的用例进行了讨论，并得到一系列有关栈操作用例的重要性质，最后对一个给定任意大小的输入序列，讨论了其各种可能的输出序列，在此基础上得到了各种可能输出序列规模的一个递推计算公式

According to the necessity to get pseudorandom number on the system simulation, Uniform distribution and white noise at first are studied .

首先研究生成均匀分布和白噪声伪随机序列的方法，然后给出了根据均匀分布随机序列产生任意概率分布的伪随机数序列的算法。

This paper discusses the strong laws of large numbers for random variable functions, and proves a strong law of large numbers for random variable functions by the analytical method.

文章主要讨论了任意随机变量序列泛函的强大数定律，并采用分析的方法证明了任意随机变量序列泛函的强大数定律，作为推论，得到了有关非齐次马尔可夫链函数的一个强大数定律。

In this paper, a lot of research works of algorithms of mining CAD has been done. Many important mine specialty graph operation algorithms have been put forward. The main results are as follows: polygons cut out algorithm, two close polygons mutual, merge and subtract algorithm, polygon vector fill, any vector polygons area calculating and sequence polygons or multifold which has the direction and region area calculating, curve smoothing, graph element search for any region, graph element attrib collect in any region, parallel polygon or vector intersection-point push out or pull in, ore reserves and grade calculating for any type polygon, mine spatial data searching and boundary line tracking and automatic link algorithm etc.

论文在矿山图形算法研究方面做了大量的工作，提出了许多有价值的矿山专业图形运算算法，主要算法有：多边形裁剪算法、闭多边形的加、减、并算法、多边形的矢量填充算法、任意有向多边形、有向多连域、有向多边形序列面积算法、多种曲线光滑算法、任意区域的图元搜索算法、任意区域图元属性提取算法、多边形平行外推/内缩算法、任意多边形储量品位计算、矿山空间数据搜索算法、界线的自动追踪和连接等。

By using truncation methods of random variables and Doob martingale convergence theorem,the properties of sequence of arbitrary random variables are studied,a class of strong limit theorems for sequences of arbitrary random variables is obtained under moment conditions, and some conclusions corresponded to these are generalized.

利用随机变量的截尾方法和Doob鞅收敛定理，研究了任意随机变量序列的性质，得到了一类矩条件下任意随机变量序列的强极限定理，推广了与此相应的一些结果

Chart components wsChart3.6 resources presentations : features : 1, a variety of styles produced statistical charts, including column, Plotting, pie, Plato; 2, a variety of output formats, including BMP, GIF, JPG format, the output from the definition of quality ; 3, in any position to add lines, text, photographs; 4, the results can be output directly to the browser, including BMP, JPG and GIF formats; 5, column sequence data support group; 6, charts support in the form of pictures filled filling; 7 several flexible control of 10 properties chart layout and appearance; 8, components for Web developers only need to be registered server, not the client installation. 9, stable performance, consume very little funding, no memory vent wsChart v3.61 increase charts frame function; 2, increasing

图表组件wsChart3.6资源介绍：功能特点： 1、多种样式统计图表制作，包括柱状图，折线图，饼图，柏拉图等；2、输出多种格式文件，包括BMP，JPG，GIF等格式，输出质量自定义； 3、可在任意位置添加线条、文字、图片；4、可将统计结果直接输出到浏览器，包括BMP，JPG和GIF格式；5、柱状图表支持序列数据组比较；6、图表填充方式支持图片填充；7、数十个属性灵活控制图表布局和外观；8、组件用于WEB开发时只需要服务器端注册即可，无须客户端安装。9、性能稳定，消耗系统资极少，无内存泄wsChart v3.61、增加图表边框功能；2、增加任意位置输出图片，可控制透明度；3、修正图表输出格式为GIF时线条颜色失真的BUG

Experimental results show that the proposed method can simulate the infrared sequence images of point targets at anytime, any viewpoint and any Field of View (wavebands range from 4 μm to 26 μm).

该仿真方法可以模拟任意时刻、任意指向和任意光学视场4~26μm的点目标红外图像序列，图像生成实时性好。

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。