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Firstly, principal-component transformation is performed with the hel Pof several classification elements such as various directions fractal dimensions of Fractal Brown Motion, Difference Box-Counting dimension and lacunarity and so on.

将图像进行主分量变换，根据第一主分量计算图像的布朗运动的各方向的分形维数，差分盒维数和"空隙"等纹理特征作为分类依据。

Characteristic data have been worked out, including the maximum Lyapunov index λ, fractional dimension D, lacunarity Λ and eight energies of various frequency bands. After being normalized, they can function as the characteristic vectors. Then, they are transmitted into an artificial neural network to perform pattern recognition.Starting from the mechanism of ultrasonic generating, initial ultrasonic pulses are calibrated. A stylish discharge source is directly coupled with the ultrasonic sensors, and work out actual discharge magnitude.

利用非线性和非平稳的方法对超声波信号进行了分析处理，对于局部放电模型得到的信号，计算了超声波信号的Lyapunov指数、分维数D、空缺率、小波包分解的8个频带能量，得到了11个特征数据，归一化处理后形成特征向量，由人工神经网络进行识别，实现了对局部放电典型模型的模式识别，显著提高了模式识别的正确率，并分析了传播途径对识别的影响。

First, we introduce a Lagrangian L for the low-dimension electronic system.

为此，我们发展了一种坐标变换的方法来简化这些边界条件。

A landing craft whose primary mission is to fight on land, on the other hand, is a ground asset and is represented in the land dimension.

一支登陆艇部队主要任务区域是在陆地上战斗，从另一方面说，它是一支陆地部队，会被表示成陆地战役。

The well perpared and trenchantly arranged lecture and some added small knowledge benefited students a lot; the alternation of lantern slide,writing on the blackboard and three-dimension demo builded well atmosphere to the lecture; Lai Kai's passion,humour and teansparent logic also left a deep impression to students.

精心准备，层次分明的讲座内容与及时加入的一些小知识让在座的同学都感觉收益颇丰；幻灯片，黑板板书，三维演示等环节的交替进行，为内容的讲解营造了良好的氛围；赖凯同学的热情，风趣，与明晰的逻辑，也给同学们留下了深刻的印象。

If I would like to have a duplicate of your kitty to sit on my so-called lap up here on the Eighth Dimension and here again "up" is only relative, then I could have her.

如果我想复制你们有可爱的小猫，让她在第八维度在这里我的腿上蹦跳而这里再次"往上"只是相对的，然后我可以拥有她了。

The corrugated lateral surface superlattice is one important kind of structures in such low-dimension systems and it has been possible to fabricate ultrafine periodical lateral structures and provide more adjustable structural parameters.

折皱横向表面超晶格就是其中一类重要的低维结构，并且人们已经能够刻制出具有高精确度和更多可调结构参数的横向周期结构。

On the basis of making it clear that laterization includes such three integrated stages as weathering, micro-granularity and soil formation of laterite, the thesis illuminates characteristics of Kunming laterite in chemical composition, physical mechanics, composition of granules, fractal dimension of granularity and the connection of granules. The experiment using soil reinforced agent to solidify the laterite shows that the mechanical traits of laterite have been improved because of its involvement, the best compact indicators and shear strength ones increased and the indicators of laterites penetrability and compression decreased. The effects of reinforcement can be weighed through its coefficient and the mechanism of reinforcement can find the explanation in the effect of soil reinforced agent on the laterite granules, the changes in the electric double layer caused by soil reinforced agent and its enwrapping of laterite granules.

在明确红土化作用包括风化作用、微团粒化作用以及红土成土作用三个完整阶段的基础上，阐明了昆明红土的化学组成特征、物理力学特征、颗粒组成特征、颗粒粒度分维特征以及颗粒连接特征；土壤强固剂加固红土试验表明，土壤强固剂的加入，改善了红土的力学特性，提高了红土的最佳击实指标和抗剪强度指标，减小了红土的渗透性指标和压缩性指标，其加固效果用加固效果系数来衡量，其加固机理可用土壤强固剂与红土颗粒之间的物理化学作用、土壤强固剂引起红土双电层的变化以及土壤强固剂对红土颗粒的包裹作用来解释。

Based on the theories of Situation Ethics and Tacit Knowledge, the researcher analyzes the ethical inquiry situation s on longitudinal and latitudinal dimension.

并配合相应的深度访谈和行为观察，获取到幼儿置身其中的各类伦理情境和诸多伦理生活故事。

So we can analyse the stability of lattice structure as solid web beam without change its geometry dimension. The out-of-plane stability of bending beam, which is made up with 2 beams and loaded by non-directional force, is studied.

对两节梁组成的弯曲梁在非保向力作用下的平面外失稳问题进行了研究，通过建立每节梁临界状态下弯曲和扭转变形微分方程，根据杆件变形的边界条件以及杆件之间的变形协调关系，得出了一端固定一端悬臂的弯曲梁在非保向力作用下平面外失稳的特征方程。

After oxidation, pH value of the surface of carbon black has a specific relation with the volatile content.

氧化后炭黑表面的pH值与挥发分之间有一定的关系。

Knowing that such a person is warped and sinful; he is self-condemned.

因为知道这等人已经背道，犯了罪，自己明知不是，还是去做。