二叉

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。

For real-time recognition, both the accuracy and the distortion invariant ability can be improved by using the bifurcating tree discriminant classification algorithm based on the multi-sample training with typical distortion images.

采用基于典型畸变图象的多样本训练的二叉树鉴别分类方法，则提高了实时识别系统的准确性和抗畸变能力。

Repeated eigenvalues occur with high multiplicities in the Laplacian matrices of full binary tree s.

满二叉树的Laplacian矩阵有着高重数的特征值，其中1重复最为频繁。

Dichotomous ransacking method is applied for constructing the topology structure in distribution network,and establishing the mathematics model of transformer,line and etc.

本 文尝试采用二叉树遍历法绘制网络拓扑结构，建立变压器、线路等配电网电器元件的数学模型。

An algorithm that traverses a general binary tree will have complexity O( 2 N ).

一个算法，遍历一般二叉树将复杂性为O(2 N )段。

In this paper analyzing stationary structures of NH~+_(4)H_(2O_(n=1~6) clusters,it is found that the first stationary structure is linear hydrogen bonding NH~+_(4) with H_(2)O in clusters,the second is bifurcated structure,the third is trifurcated structure .

本论文分析了NH4+(H2O)n(n=1~6)簇合物的稳定结构，发现NH4+与H2O以线性氢键结合成的簇合物结构最稳定，其次是二叉结构，再次是三叉结构。

In this paper analyzing stationary structures of NH~+_(4)H_(2O_(n=1~6) clusters,it is found that the first stationary structure is linear hydrogen bonding NH~+_(4) with H_(2)O in clusters,the second is bifurcated structure ,the third is trifurcated structure.

利用密度泛函理论中B3LYP方法，6-31G基组对NH4+(H2O)n(n=1~6)簇合物进行几何优化，得到了稳定结构。本论文分析了NH4+(H2O)n(n=1~6)簇合物的稳定结构，发现NH4+与H2O以线性氢键结合成的簇合物结构最稳定，其次是二叉结构，再次是三叉结构

Finally, the adaptive WPT is applied to the localization and rejection of fast time-variant narrowband interference in direct sequence spread spectrum system.

提出了一种新的基于自适应小波包变换的二叉树结构算法及它在宽带系统中的窄带干扰定位和弃除技术中的应用。

Through a searching model which is built by consulting the binary tree, two prediction wavebands are found, which have the most relativity to each basal waveband, and then the basal waveband is predicted using the two prediction wavebands.

该算法通过建立一个搜索最优双预测波段的二叉树模型，搜索与每一波段相关性最强的两个波段，并用这两个波段对该波段进行预测。

A new method of American option pricing with stochastic vola...

针对随机波动率模型下美式期权定价的复杂性，本文在已有的欧式期权定价公式下，利用二叉树与随机波动率矩阵的结合，当股票价格收益波动率服从马尔可夫随机过程时，实际波动率σ下美式期权价格是随机状态波动率下价格的加权和，其权重可以由波动率矩阵算出，并且给出了对应思想的算法，最后通过数值算例进一步说明了算法的有效性。

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。