整数和对称模余数代码的相互转换

建立整数和其对称模余数代码相互转换的简化数学模型 ,阐明相互转换的理论和计算方法 ,证明了变换有关公式。余数代码变换为整数需要求解待殊的方程组。求解的主要方法是多项式真整除以常数 (整数 )。阐述了这种除法的计算公式。     

二、十进制数互换的一种简便方法

本文提出了一种用随手可得可反复使用的位权表进行二进制数与十进制数相互转换的简便方法。该方法不仅简单明了,而且快速准确,使用起来往往很简捷。整数与小数部分可一次性进行转换。     

基于两种不同存储方式的大整数运算及性能比较

大整数运算中计算机存储大整数的两种不同方式是顺序存储和链式存储,结合C语言实现大整数基本运算中最复杂的除法运算,研究比较这两种存储方式的性能特点,较好解决了大整数同计算机字长限制之间的矛盾。     

通用地理坐标转换类设计与实现

为了解决地图制图中不同坐标系之间的相互转换的问题,采用构建通用地理坐标转换类方法,实现常用大地坐标系和平面投影坐标系之间在相同或不同参考椭球参数下的相互转换.介绍了大地坐标系及投影坐标系,对实现大地坐标系、投影坐标系的相互转换方法作了详细的论述,并探讨了通用地理坐标转换类设计和实现的优化方法,通过实际数据验证了该地理坐标转换类在实际的应用中是切实可行的.     

二进制数和十进制数相互转换的另一种方法

几种进位计数制之间的相互转换，特别是十进制和二进制之间的相互转换，是计算机和电子专业的基本要求。本文提出一种简便的进制转换方法，学生易于理解，便于掌握，有较好的教学效果。     

用多位数动态数组实现进制转换的研究

利用多位数动态数组算法编程,实现了从2进制到62进制之间任意位整数、任意位小数的进制转换.     

满文罗马转写与圈点满文转换算法的实现

通过研究满文文字的特征,在给出圈点满文和满文罗马转写单词定义BNF范式的基础上,按照总结出的圈点满文与其拉丁化方案之间相互转换的规则,构建了满文罗马转写与圈点满文之间的相互转换算法,并着重解决了圈点满文向罗马转写转换过程中的编码冲突问题,对不符合规则的文字编码提出了解决方案,从而实现罗马转写文本和圈点满文之间的双向一一对应转换·通过对测试文本的转换试验,表明了所提出的转换算法的有效性·     

用89S51单片机实现模拟信号和数字信号的转换

用89S51单片机实现模拟信号和数字信号之间的相互转换，并在保持信号不失真的前提下尽量提高转换速度     

海洋物探坐标转换软件的研究与开发管理

本文论述了海洋物探和工程测量中所运用到的不同坐标系统及不同地图投影方式之间的坐标转换方法。其主要内容分为两个方面:一是同一坐标系统下不同坐标之间的相互转换;二是不同坐标系统之间的相互转换。深入研究了在高斯投影和UTM投影情况下WGS-84、北京54、西安80三种坐标系统间平面坐标与大地坐标的转换模型和算法,并用VB程序设计语言实现了这些模型和算法。     

基于VB的EXCEL数据和SQL数据之间的转换研究

本文介绍了使用VB开发工具,实现数据在SQL Server数据库和Excel之间相互转换。并对转换过程中的问题提出了一些注意事项。     

RNA二级结构点括号图与CT文件表示法的相互转换算法研究

由于RNA二级结构表示方法对其功能和相似性的研究具有关键性作用,通过对现有RNA二级结构的各种表示方法进行讨论,重点介绍了点括号图表示法和二级结构平面图文本（CT文件）表示法,给出二者之间的相互转换算法,并通过实例验证了该转换算法准确、有效,可为研究RNA二级结构的相似性提供有效的数据支持.     

加W权Drazin逆显式表达式及其计算

给出了几个加权Drazin逆的显式表达式．通过这些表达式可以减少计算量．同时，通过一个秩方程，推导出求加权Drazin逆的一个计算方法．     

Trace Representations of S-boxes and Their Application

In the paper,we use trace representations of Boolean functions to obtain that a class mappings including functions F(x)=x^d over field GF(2^″),with W(d) =n-1,have desirable cryptographic properties.Therefore we generalize an important result of Nyberg.As application,we use these conclusions to analyze cryptographic property of the Sbox of AES(the Advanced Encryption Standard) and give its several equivalent representations,proving that the composition of inversion function of AES and any invertible affine transformations is impossible to satisfy strict avalanche criterion,any order propagation criteria and any order correlation immunity.     

Discrete fixed-resolution representations in visual working memory

Limits on the storage capacity of working memory significantly affect cognitive abilities in a wide range of domains, but the nature of these capacity limits has been elusive. Some researchers have proposed that working memory stores a limited set of discrete, fixed-resolution representations, whereas others have proposed that working memory consists of a pool of resources that can be allocated flexibly to provide either a small number of high-resolution representations or a large number of low-resolution representations. Here we resolve this controversy by providing independent measures of capacity and resolution. We show that, when presented with more than a few simple objects, human observers store a high-resolution representation of a subset of the objects and retain no information about the others. Memory resolution varied over a narrow range that cannot be explained in terms of a general resource pool but can be well explained by a small set of discrete, fixed-resolution representations.     

Substance graphs are optimal simple-graph representations of metabolism

One approach to study the system-wide organization of biochemistry is to use statistical graph theory. In such heavily simplified methods, which disregard most of the dynamic aspects of biochemistry, one is faced with fundamental questions. One such question is how the chemical reaction systems should be reduced to a graph retaining as much functional information as possible from the original reaction system. In these graph representations, should the edges go between substrates and products, or substrates and substrates, or both? Should vertices represent substances or reactions? Different representations encode different information about the reaction system and affect network measures in different ways. This paper investigates which representation reflects the functional organization of the metabolic system in the best way, according to the defined criteria. Four different graph representations of metabolism (three where the vertices are metabolites, one where the vertices are reactions) are evaluated using data from different organisms and databases. The graph representations are evaluated by comparing the overlap between clusters (network modules) and annotated functions, and also by comparing the set of identified currency metabolites with those that other authors have identified using qualitative biological arguments. It is found that a “substance network”, where all metabolites participating in a reaction are connected, is better than others, evaluated with respect to both the functional overlap between modules and functions and to the number and identity of the identified currency metabolites.     

GIS中地理要素多尺度表达间层次连通性的研究

由于地理要素在不同尺度下的抽象表达往往表现出不同的空间形态、结构和细节，如何根据地理要素在不同尺度下的表现特征提取并维护多尺度表达间的层次连通关系，至今还没看到一个完整的解决方案．对此，构建了基于多尺度表达间聚集关系的层次语艾匹配规则。以同一要素多尺度表达间的层次语义关系为纽带，以数据匹配方法为手段，综合利用多重表达间的语义、几何、拓扑、属性等信息，来实现同一要素在不同尺度的抽象表达之间的层次连通关系；并以多尺度道路网数据库中道路交叉口要素多尺度表达为例。详细剖析了该策略的实现过程．试验结果验证了该方案的可靠性，为GIS中要素多尺度表达的层次连通关系维护研究提供了有力的理论支撑和可行性技术策略．图2，表7，参8．     

循环箭图幂零表示的嵌入

给出循环箭图幂零表示嵌入的一个组合刻画,推广了Mollenhoff等关于Dynkin箭图的子表示维数向量的判 别条件.      

Multiple dynamic representations in the motor cortex during sensorimotor learning

The mechanisms linking sensation and action during learning are poorly understood. Layer 2/3 neurons in the motor cortex might participate in sensorimotor integration and learning; they receive input from sensory cortex and excite deep layer neurons, which control movement. Here we imaged activity in the same set of layer 2/3 neurons in the motor cortex over weeks, while mice learned to detect objects with their whiskers and report detection with licking. Spatially intermingled neurons represented sensory (touch) and motor behaviours (whisker movements and licking). With learning, the population-level representation of task-related licking strengthened. In trained mice, population-level representations were redundant and stable, despite dynamism of single-neuron representations. The activity of a subpopulation of neurons was consistent with touch driving licking behaviour. Our results suggest that ensembles of motor cortex neurons couple sensory input to multiple, related motor programs during learning.     

有限域上二阶一般线性群不可约表示的分类

有限域上线性表示理论在数论和编码理论中都有重要应用.设Fq表示q元有限域,二阶一般线形群GL2(Fq)上所有不可约表示的分类已有一个优美的结果,作者构造了一系列GL2Fq的不可约表示,并证明这包括了所有情形.