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A DRAT (Dimension Reduction and Absolute value Transformation) Method is proposed, which through the establishment of a minimum set of thelinear parameters in the spectrum model and its absolute value transformation, makes the 3M+1 dimension constrained optimizingprohlem into an equal 2M dimension unconstrained one.

谱峰分离的拟合方法涉及到比较复杂的高维和强非线性的数学规划问题。这使得一些流行的计算方法的收敛性强烈地依赖于初始参数值的质量l'I5l。

Introduce the elementary knowledge related to dimension chain; Propose mathematical model of dimension chain, and analyze the process to build mathematical model; Analyze the search process to generate dimension chain using deep first search method.

介绍尺寸链的相关基础知识；提出尺寸链数学模型，分析了以图论为基础的数学模型的建立；分析了以深度优先搜索法进行尺寸链自动生成的搜索过程。

Within this context, four specific areas are addressed:(1) By means of finite integration technique, a new kind of the first order partial difference equation is derived from the original disperse transmission line equation of the uniform waveguide's. As it is the kind of one dimension Dirichlet's boundary problem, it is convenient for us to solve this equation from the leapfrog scheme. Because computation is carried out in one dimension, both high calculation efficiency and precision have been obtained in this method. Meanwhile, this method provide us a different selection to simulate the transient response of waveguide with non-simplical, for examples cylinder and elliptic waveguide, and avoid solving the second order equation, or using finite difference time domain to simulate a three dimension problem, sometimes the latter precision is not satisfied with the need, or low efficiency.

在这一研究内容下，主要研究四个方面的问题：(1)在完成金属波导传输线方程时域形式的基础之上，应用有限积分技术，把波导特征模式的色散传输线方程，化简为一组新的一阶偏微分方程组，该边值问题属一维Dirichlet边值问题，从而便于用蛙跳格式求解，由于是在一维中计算，该方法具有很高计算效率和精度，从而避免了以往为得到金属波导中特征模的时域响应特性，须要求解二阶方程，或用时域有限差分方法求解三维问题的方法，对于后者来说，计算有时是不准确的，或是很耗时的例如计算诸如圆波导、椭圆波导等其它复杂形状的波导。

On the basis of analyzing four types of law as a science, the authors point out that law as a science depends on its scientific nature of research methods, which contain three dimensions, namely positivist dimension, humanism dimension, and formalist dimension.

作者分析了法学作为科学的4种存在形态，在此基础上指出研究方法的科学性是法学作为科学的基础，并评析了法学研究方法的3个维度，即实证维度、人文维度和形式维度。

Finally, the calculation process of CGR graphic's multi-fractal analysis was studied. the scope of choice of the weight factor and the scale invariance range were discussed, the weight factor can be chosen as ? 15≤q≤50; multi-fractal spectrum and generalized dimension of different sequence were calculated, multi-fractal spectrum and generalized dimension in different scales of different sequences were compared, it was found that multi-fractal spectrum and generalized dimension can show different levels of fractal characteristics of CGR graphics of DNA sequence, which can distinguish more complex structure of sequences.

最后，研究了DNA序列CGR图形的多重分形的计算过程，讨论了权重因子及满足标度不变性的范围选择等问题，得到结论：对CGR图形进行多重分形时权重因子可以选择为-15≤q≤50；计算了不同序列的多重分形谱和广义维数，比较了不同序列不同尺度的多重分形谱和广义维数，发现多重分形谱和广义维数能够表现DNA序列CGR图形的不同层次的分形特征，能够区分更复杂的序列结构。

When Windows was first introduced, the standard video adapter boards were the IBM Color Graphics Adapter, which had a pixel dimension area of 640 by 200 pixels; the Enhanced Graphics Adapter, which had a pixel dimension of 640 by 350 pixels; and the Hercules Graphics Card, which had a pixel dimension of 720 by 348 pixels.

当 Windows 首先被引入时，标准的视频适配器板是 IBM 彩色图形适配器，它有 640 200 像素的像素尺寸区域；增强的图形适配器，它有 640 350 像素的像素尺寸；Hercules 图形卡，它有 720 348 像素的像素尺寸。

Based on the methods of Hausdorff fractal dimension and space relation fractal dimension ,the paper advances calculation models on the fractal dimension and the arriving degree of network of Liaoning s highway network.

分析了辽宁省公路交通网络的基本现状，根据分形理论，利用Hausdorff维数简化算法和空间关联维数的计算方法，测算了以省内国道干线为基础的辽宁省公路交通网络的分维数和网络直通度。

Statistical methods were chi-square analysis and t-test.resultsstatistical significance existed in: mental and physical misery dimension between male and female students; perspective-taking dimension between students of arts and of science; imaginativeness and sympathy dimensions between class-leader and non-class-leader; sympathy dimension between only-child and non-only-child. no statistical significance was found among the students in city and village.

结果 男女大学生在身心忧急维度上差异存在统计学意义；文理科学生在观点取替维度上差异存在统计学意义；学生干部与非学生干部在幻想力、同情关怀2个维度上差异存在统计学意义；独生子女与非独生子女大学生在同情关怀维度上差异存在统计学意义；家住城镇与家在乡村的大学生各维度差异均无统计学意义。

Statistical methods were chi-square analysis and t-test.resultsstatistical significance existed in: mental and physical misery dimension between male and female students; perspective-taking dimension between students of arts and of science; imaginativeness and sympathy dimensions between class-leader and non-class-leader; sympathy dimension between only-child and non-only-child.

结果 男女大学生在身心忧急维度上差异存在统计学意义；文理科学生在观点取替维度上差异存在统计学意义；学生干部与非学生干部在幻想力、同情关怀2个维度上差异存在统计学意义；独生子女与非独生子女大学生在同情关怀维度上差异存在统计学意义；家住城镇与家在乡村的大学生各维度差异均无统计学意义。

Uncertain temporal relations can be represented and reasoned by IA. IA has strong expressive ability in tense, and it can represent all natural temporal relations. At the same time, temporal relation represented by IA is highly visual and comprehensive. In additional, IA has been extended from one-dimension temporal area to two-dimension spatial area, that is to say, interval algebra can be developed to rectangle algebra for two-dimension reasoning.

用区间代数能表示不确定的时态关系，可以很方便地用于时态推理，表达能力强；时态关系的区间表示比较直观，可理解性强；同时区间代数可以进一步扩展到二维空间领域，即将区间代数拓展为矩阵代数，实现二维空间推理。

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&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。