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We will prove that the only compact dual Toeplitz operator is the zero operator, and that a densely defined dual Toeplitz operator with square integrable symbol is bounded if and only if its symbol is essentially bounded.
首先,我们证明了只有零算子是紧的对偶Toeplitz算子,同时给出了以平方可积函数为符号稠定义的对偶Toeplitz算子有界当且仅当它的符号函数是本性有界的。
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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。
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At present the software in A defines his to be " cloud of Business Cloud ", build home in Nanjing at the beginning of 2009 by the plan first " center of computation of cloud of electronic business affairs ", head period investment will amount to on 100 million yuan of RMBs.
目前阿里软件定义其为"Business Cloud",并按计划于2009年初在南京建立国内首个"电子商务云计算中心",首期投资额将达上亿元人民币。
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The traditional definition of painting as a visual, concrete art form has been questioned by recent aspects of conceptional art,
理性艺术近来的表现,对绘画为视觉和具象艺术形式的传统定义提出了质疑。
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2The cycle of polystipulate of human nature.Marx brings to lightthe concreteness and richness of the human nature.
这些定义是互文见义,都不可缺少的,它们构成一种以实践为基础的开放性的解释学循环关系。
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Also this paper gives a definition of quantum conditional entropy of entanglement E_ A|Band proves that it satisfies the four fundamental conditions of a entanglement measure for a kind of mixed state of 2×2 quantum system by this negative quantum conditional entropy Using conditional entropy of entanglement,this paper investigates the quantum entanglement between the two identical two-level atoms simultaneously interacting with vacuum cavity field as an application.
给出了负值量子条件作为条件熵纠缠度的定义,证明了条件熵纠缠满足作为2×2系统一类混合纠缠态量度的四个基本条件。当双量子系统处于纯态时,条件熵纠缠度即为部分熵纠缠度。
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The value of a conditional expression is defined as follows: If the effective boolean value of the test expression is true, the value of the then-expression is returned.
一个条件表达式的值定义如下:如果测试表达式的有效布尔值为true,则返回then表达式的值。
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The decreasing conditions of an energy function are investigated by the use of convex function. By utilization of the primal convex function, the conditions are analyzed under which its conjugate function minus a quadratic function is also convex.
利用凸函数的定义研究了能量函数下降的条件,根据凸函数的性质分析它的共轭函数减去二次函数之差仍为凸函数的条件。
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To maintain its internal structure and maintainability, evolution steps should be performed in a disciplined way, and consistency conditions should be explicitly and formally defined, and thus can be verified and maintained during the evolution process.
为避免破坏开发系统的内部结构和降低系统的可维护性,软件演化应当以规范的方式进行,一致性条件应该有显式的严格定义,并应该在演化过程中得到检查和维护。
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According to the characteristic of image sequence, we define a function of motion smoothness and provide the constant acceleration model of feature point.
针对非刚体图象序列的特点,定义了特征点运动的平滑代价函数,并提出了特征点运动的常加速度模型,在此基础之上,将非刚体特征点对应的建立问题表示为一个带约束的优化问题,并用Hopfield网络将其实现。
- 推荐网络例句
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Do you know, i need you to come back
你知道吗,我需要你回来
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Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.
1〕 杨银书,王祥生,李德昌。安徽省首次发现嗜群血蜱。
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Chapter Three: Type classification of DE structure in Sino-Tibetan languages.
第三章汉藏语&的&字结构的类型划分。