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For preparing for the researches of text digital watermarking and advantaging other researchers" development when using the Chinese mathematical expression theory, this paper designs and realizes a development platform of Chinese mathematical expression. It has been proved by experiments that the platform"s function, execution speed and stability can satisfy the requirements of conversion and operation of enormous data.This research found out that the structure information of Chinese have plenty redundant information that can be used by the Chinese mathematical expression for the digital watermarking, the data embedded can possess better robustness. Based on this finding, this paper designs a kind of text digital watermarking method of embedding watermarking by using Chinese structure, and realizes the method by using the Chinese mathematical expression platform.Considering the watermarking embedding algorithms importance to the robustness of the text digital watermarking, this paper makes fully use of the advantage of the Chinese mathematical expression theory to design a kind of layered text method, which has being realized by using the Chinese mathematical expression platform. The layered text method can handle the text as a solid structure, and the embedding data havepreferable robustness.Finally, based on the researches of the text digital watermarking method and the text layered method, this paper integrates the method of making use of the Chinese structure embedding watermarking with the robust algorithm based on text layered, and realizes a brand-new text digital watermarking method. Proved by lots of experiments, this brand-new method has good robustness and better invisibility.

为了为研究工作做准备和方便其他使用汉字数学表达式理论体系的人进行开发,本文基于汉字数学表达式理论设计实现了一个汉字数学表达式平台,实现了Unicode汉字集中的汉字、汉字数学表达式、汉字的Unicode码之间的相互转化、依据汉字数学表达式提取汉字的结构信息、由汉字数学表达式在非中文平台上不依赖字库显示汉字的图像等功能,使用复合文档技术和流压缩技术进行数据的存储,使用对汉字数学表达式进行二叉树拆分来处理汉字数学表达式中包含的信息,使用自定义哈希函数来提高运行速度,实验证明,该平台功能、速度和稳定性完全能满足大量数据的转化和运算要求;通过研究表明汉字的结构信息中存在大量可使用汉字数学表达式理论加以利用的水印加载空间,加载在该空间的数据可以具有较好的鲁棒性,基于此,本文设计了一种利用汉字结构加载水印的文本数字水印方法,并使用汉字数学表达式平台将其实现;由于水印嵌入算法对于文本数字水印的鲁棒性至关重要,本文充分利用汉字数学表达式理论的优点,设计了一种文本分层的方法,并使用汉字数学表达式平台将其实现,使文本成为一个立体的空间,使嵌入在其中的数据具有更好的鲁棒性;最后在基于汉字数学表达式的文本数字水印嵌入方法的研究和基于汉字数学表达式的文本分层方法的研究的基础上,结合利用汉字结构嵌入水印的方法和基于文本分层的抗攻击文本水印嵌入算法实现了一种全新的文本数字水印方法,经实验证明,该方法有良好的鲁棒性和较好的隐蔽性。

This paper reviews and summarizes the progress in this field as follows: the mathematical model and the difficulty of the analytical solutions is introduced; discusses the latest progress of the numerical solutions is discussed; the finite difference method, the Godunov method, the Boltzmann method, and the KFVS method of one-dimensional dam-break problem are introduced; the TVD method, the discontinuous finite element method, the finite volume method and characteristic method of two-dimensional dam-break problem are discussed; the applicability, the advantage and the disadvantage of each method are analyzed; and the progress in the numerical calculations of flow of fluid with free surface are presented.

回顾和总结了国内外对溃坝水流演进问题的研究进展:介绍了溃坝水流的数学模型及解析解法存在的困难,进而讨论了数值解法的最新进展;论述了求解溃坝水流一维问题的有限差分法、近似黎曼解的Godunov格式法、Boltzmann法、KFVS法和二维问题的TVD格式法、间断有限元法、有限体积法、特征线法,并分析了各种方法的适用范围和优缺点,及讨论了限制函数的使用;介绍了利用自由水面追踪方法计算溃坝水流的研究进展,并根据目前存在的不足和实际工程的需要,提出了进一步研究的方向和发展趋势。

Uses the biggest strength training method (80%~100% biggest strength) adding 30% biggest strength load training method; the load combination method to make the acclivity to lie pushes the barbell training, good in uses; the biggest strength training method to the upper limb shot fast strength training effect (80%~100% biggest strength) adding the unarmed quickest speed training method and the biggest strength training method (80%~100% biggest strength) adding 60% biggest strength shoulders the training method the load combination method.

用"最大力量训练(80%~100%最大力量)+30%最大力量负荷最快速度训练法"负荷组合方法做上斜卧推杠铃训练,对推铅球上肢快速力量的训练效果好于用"最大力量(训练80%~100%最大力量)+徒手最快速度训练法"与"最大力量训练(80%~1 00%最大力量)+60%最大力量负荷最快速度训练法"负荷组合方法。

The details as follow: 1.Based on rules about form error in GB, mathematical models of form error are established including straightness error on the base of minimizing zone method、least-squares method and two dots linked method ; flatness error based on minimizing zone method、lease-squares method、diagonal line and three dots method; circularity and cylindricity error based on minimizing zone method、lease-squares method、minimum circumscribed circle and maximum inscribed circle.

具体内容如下:根据国标中形状误差的相关规定建立了各种要素评定方法的数学模型包括:直线度的最小区域法、最小二乘法、两端点连线法;平面度的最小二乘法、最小区域法、对角线法、三远点法;圆度和圆柱度的最小区域法、最小二乘法、最小外接圆法、最大内切圆法。

In this paper, mathematical analysis, linear algebra is more material as the foundation, on the basis of previous studies, will solve a number of the function extreme value methods, such as distribution method, elimination method, the discriminant method, mean inequality method, the geometric method, vector method and derivative method, and so to summarize, and on this basis is given for each method the corresponding examples to illustrate for readers to reference and understanding.

本文以数学分析、线性代数更教材为基础,在前人研究的基础上,将求解函数极值的若干方法,如配方法、消元法、判别式法、均值不等式法、几何法、向量法和导数法等等进行归纳总结,并在此基础上针对每一种方法给出相应的例子加以说明,以便读者参考和理解。

The examples show: It is not only scientific and rational approximately, but also as referenced calculational methods of threshold quanlity of increased or emendatory chemical substance in the "Identifecation of major hazard installations "(GB18218-2000) in the future, that appliance respective of TNT equivalent method, gasoline equivalent method, methane equivalent method, methl ethyl ketone peroxide equivalent method and hydrogen sulfide equivalent method for the rhrehold quanlity in the work site and store area of volatile substance, combustible liquid substance, combustible gaseous substance, active chemical substance and poisonous substance. At the same time, Comparing with the death radius method and evaluative method of combustible, volatile, poisonous mojor hazardinstalltions, hazard grading method of hazard degree grading in the chemical factory for the major hazard installations is simplerof operation and more practical of calcutating result, and have some significance on generalizer.

实例验证表明:TNT当量法、汽油当量法、甲烷当量法和过氧化甲乙酮当量法分别对爆炸性物质、易燃液体物质、易燃气体物质和活性化学物质的临界量确定,具有一定的科学性和合理性,可作为《重大危险源辨识》(GB18218-2000)中临界量数值修订和危险物质扩充时进行临界量确定的参考计算方法,同时,化工厂危险程度的重大危险源分级法与易燃、易爆和有毒重大危险源评价法和死亡半径法相比,评估过程简单易行,分级结果符合实际,具有较强的可操作性和一定的推广意义。

A sample numerical design method for constant beamwidth beamformer is given. This method is easy to implement and has no restriction on array geometry and sensor patterns; Three methods for the design of broadband frequency invariant beamformer are proposed, which are the method of resampling signals received by the array, the DFT interpolation method and adaptive synthesis method, respectively. Examples and performance analyses are given for each method; A simplified linear constrained minimum variance broadband adaptive algorithm that based on DFT interpolation method is presented. Compared with conventional broadband adaptive algorithms, the presented method can reduce computation work greatly.

提出了一种简单、易于实现的恒定束宽波束形成器设计方法,该方法对阵形和阵元指向性没有任何限制;分别提出了基于阵列接收数据重采样、基于DFT插值和自适应综合的三种具有频率不变波束图的宽带波束形成器设计方法,对于每一种设计方法都给出了一个设计实例并做了性能分析;提出一种基于DFT插值的简化线性约束最小方差宽带自适应阵列算法,该方法可以大大降低自适应阵列的运算量。

Eight hierarchical clustering methods including single linkage method, complete linkage method, median linkage method, centroid method, unweighted pair-group average method, Wards method, flexible-beta method and weighted pair-group average method were combined with three sampling strategies, random, preferred and deviation sampling to develop 24-core collections.

川最短距离法、最长距离法、中间距离法、重心法、不加权类平均法、离差平方和法、可变法和加权配对算术平均法等8种系统聚类方法,结合随机取样法、优先取样法和变异度取样法等3种取样方法,发展了24个水稻核心种质库。

The results showed that in evaluation of the method by detecting 50 RHD 1227A positive and 50 RHD 1227A negative individuals, the genotyping method displayed a sensitivity of 100% and a specificity of 100%; in evaluation of the method by detecting 33 DEL positive and 89 DEL negative individuals, the sensitivity was 100%, however, there were two serologically negative samples which were confirmed as positive using genotyping method. After re-testing these two samples with serological method and sequence analysis, it was found that original serological method gave false negative results and genotyping method still showed 100% specificity. The minimal target DNA concentration of this genotyping method is 8.13 ng/μl.

结果表明:在50例RHD 1227A阳性和50例RHD 1227A阴性的Rh阴性样本中基因分型方法的灵敏度和特异性都是100%;在33例DEL阳性样本和89例DEL阴性的样本中,基因分型方法的灵敏度为100%,有2例样本血清学结果为阴性而基因分型结果为阳性,重新用血清学方法和序列分析方法复核这2例样本,发现2例都是血清学漏检,因而基因分型方法的特异性是100%。

In this article, a new multigrid method for solving p-Laplacian equations is proposed based on the existing multigrid method: FAS multigrid method and Cascade multigrid method. This method is a combination of Cascade method and a new method named "back" method.

本文主要研究现有的几种求解p-Laplace方程的多重网格方法:FAS多重网格方法和Cascade多重网格法,并在此基础上提出了一种新的求解p-Laplace方程的多重网格方法:Cascade-back方法。

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