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In this thesis, we will mainly do research on the novel scheme for Digital image Steganography, Digital Image Secret Transmission in network and the development of the information hiding device for application. The main contributions of this thesis are as following: The novel conversion method for mapping image to complex number is proposed, and the plus, minus, multiply and complex conjugate operation of image are defined based on Positional number systems and complex number system. Following new results have been gotten: 1 The suitable complex number basis to be used to express integers is a big set. 2 Any image can be mapping into a one-to-one point. 3 Lots of image processing problem can be considered based on geometric theory.

在本论文中,研究工作集中在数字图像伪装算法的新模型、图像在网络中的加密传输的新方案和信息伪装设备的研发等三个方面,主要包括:基于位值制记数法和复数系理论,提出利用复数作为基底的数字图像新的表示方法,用复数运算定义了图像和图像间的"加"、"减"、"乘"、"共轭"等运算关系;得到理论结果: 1、能表示任何整数的复数基是很大的一个集合。2、任何一幅图像,都能和复平面上的一个点一一对应。3、可以将图像问题化归为平面几何问题处理。4、复数系下的图像表示适合用于信息伪装。

Also in the 3-D space, we assign the 20 amino acids to 20 vertices of the dodecahedron. By the symmetry of the dodecahedron we obtain 3-D representation of 20 amino acids, and 3-D graphical representation and the corresponding numerical sequence of protein sequences. And similarity and dissimilarity analysis based on the invariants of graphs and characteristics of numerical sequences are given for nine RNA secondary structures of RNA-3 of virus. We construct sequence phylogenetic tree of a group of cytochromes C protein.

在DNA三联体密码子表示的基础上,在半复平面上给出了蛋白质序列的非退化的2-D图形表示,同时利用复向量的主要特征—模和相位,给出了蛋白质序列的一种数值刻划,进一步在3-D空间里,把20种氨基酸分别分配给正12面体的20个顶点,根据正12面体的对称性得到了20种氨基酸的3-D表示,进而得到了蛋白质序列的3-D图形表示和对应的数字序列,并利用图的不变量和数字序列的特征比较了9种动物的神经元

The coding method includes the steps of representing respective digital data by digits of a predetermined same number, and coding the digital data represented by digits of the same number by a predetermined coding method from the uppermost significant digit sequence to the least significant digit sequence.

编码方法包括以下步骤:用相同的预定位数表示有关数字数据,以及使用预定编码方法自最高有效位序列至最低有效位序列将由相同位数表示的数字数据编码。

Both are said to return fuel economy figures of 18 mpg in the city and 25 mpg on the highway.

两者都表示返回的燃油经济性的数字的18英里的城市和25英里的公路上。

In the "Explanatory Notes" for each lesson, the short bar "-" between the two Arabian ordinal numbers stands for "to".

说明1。在每一课的"诠释"部分,两个阿拉伯数字序号间的短横"——",表示"到",例如:1——4,表示"从第1例到第4例"的综合分析说明;两个阿拉伯数字序号间的加号"+",表示"和",例如:1+4,表示"第1例和第4例"的对比性说明。

The first two are significant figure of resistance and the third one

前两位数字表示电阻值的有效数字,第三位数字表示其后零的个数。

Understand the difference between Chinese and English numerations.☆ master the stenography of figures or numbers.

掌握记录方法:采用自己熟悉的分节方式将转折数字记录下来,比如用 '表示 thousand , ''表示 million , b 表示 billion, t 表示 trillion,或用"—"表示"000"等等(3,000,000可记录成"3——"或者"3,,")。

A numeral l in the i-th component of the vector denotes the inclusion of the i-th element of that particular subset; a 0 denotes its exclusion.

向量中的第 i 个分量为数字 1 表示集合 T 的第 i 个元素在某一特定子集中,用数字 0 表示不在某一特定子集中。

Genes that are numbered are essential: a mutation in any one of these loci prevents successful completion of the lytic cycle.

标有数字的基因是必须的,用三个字母缩写表示的基因在通常的感染条件下可认为是非必须的。

The upper number indicates the number of beats in a measure and the lower the kind of note used. Thus 3/4 indicates three quarter notes or crotchets in a measure, 4/2 indicates four half notes or minims, 6/8 indicates six 8th notes or quavers.

上面的数字表示拍数,下面的数字表示所使用的音。3/4表示一小节有三个四分音符,4/2表示四个二分音符,6/8表示六个八分音符。

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Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车,和一双合并为一移交&整个lotta爱&。

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