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We give all of these properties by means of theorems, and also give detail proofs. In the most important theorem, we give the relation between singularity and jumps and sharp cusps neighborhood. and the threshold detection of jumps and sharp cusps, and the relation between threshold and scales, where we partly resolve an open problem put forward by some researcher.

在最关键的定理中，给出了奇异性与突变点和尖点的领域的关系，以及突变点和尖点的阀值检测法，以及阀值和尺度的关系，这部分的解决了以前研究者提出的一个公开问题，同时研究了逼近程度和逼近理论，这在已有的基础上又向前进了一步。

For example, by the end of 2005, there are more than 18 million household biogas digesters in the rural areas, with an annual output of about 70 billion cubic meters of biogas. Then 50 million rural residents who are in short of energy improved their living conditions fundamentally by means of using the clean energy of biogas.

截至2005年底，我国农村使用沼气的农户已经达到1800多万户，年产沼气约70亿立方米，解决了近5000多万农村居民的能源短缺问题，使他们的生活条件得到改善。

In this paper, changes of cuticle layer and epicuticle structure after stretching or stretching—setting treatment of wool and hair fiber are also analyzed by means of cuticle superficial structure observation through SEM, A1l w〓rden reaction, all amino-acid analysis and infrared spectrum studying, and on this account, inquiring firstly into the mechanism of modification of wool and hair fiber by stretching.

本论文通过电镜观察鳞片层结构、阿尔瓦登反应、氨基酸含量分析及红外光谱研究等方法分析了拉伸及拉伸—定型处理后鳞片层及鳞片表层结构的变化，并以此为主要切入点，创意性地探讨了毛发拉伸改性机理。

This paper describes the principle and method, by which the modal parameters of symmetrical plane structures can be measured by means of ganeral simple exciters and measurement instruments.

本文描述了用简单的通用激振器和测量仪器测量对称平面结构模态参数的原理和方法。

The grinding force experience formula is derived by means of experimental results. By the rotation dynamometer, the experiment with different speed of grinding wheel, different feed rate and working piece speed have been carried out.

利用旋转测力仪进行了不同砂轮转速、径向切削深度、以及工件转速对磨削力影响的测试实验。

To detect the position of crop-rows, a method based on Hough transform and connected component labeling was put forward. First, a true color image of field crops was processed with gray histogram and OSTU respectively. Then the noises in the image were eliminated by means of eight connected component labeling according to their areas. The centroid coordinates of each labeled crop were computed after the second labeling, through which the center line of the crop-row was regressed by Hough transform. Experimental results show that the method is effective.

该方法分别用直方图法和最大类间方差法二值化图像后，经过8连通区域标记后据其面积属性去除噪声，然后再经一次标记后找出各标记作物的重心点坐标，最后通过Hough变换检测过重心点的直线，即到得到过作物行的中心线，试验结果表明了该方法的有效性。

The paper describes how the local force of the main web is considered as the force caused by the Contact pressure among the trolley wheel, rail and top flange, and how the contact analysis model for the local force is built by means of both Hertz theory and finite element software ANSYS combined. Also, it analyzes the variation of the local stress under the different conditions and comes to a conclusion, and compares the results derived from the experimental formula with the result from ANSYS.

本论文的主要内容：将Hertz接触理论和有限元软件ANSYS结合起来，把主腹板的局部受力问题视为小车轮与轨道及轨道与上翼缘板之间发生接触行为作用下的受力问题，建立了小车轮压作用处偏轨箱形梁主腹板局部受力的接触分析模型，研究不同情况（小车轮压、箱形梁几何参数和轨道截面惯性矩）下局部应力的变化规律，得出相关结论；最后将经验公式解与ANSYS数值解进行对比分析论证。

By means of using a disc cutter with a concave end instead of traditional ball-ended or flat-ended ones,and adjusting the cutter axis to move relatively to the component being machined according to some special rules,the envelop formed by the trace of the tool-nose in each pass and the required surface have the same derivatives up to the second order in the plane normal to the feeding direction.

采用二阶密切曲率法，即采用中凹的盘形铣刀取代传统的球头或鼓形铣刀，在每一行程中让刀具轴线相对于工件按特定的规律摆动，使得在垂直于进给方向的法截面中，由刀尖轨迹形成的包络面与理论曲面的法截线具有相同的1阶？

Chapter one explains humanistic culture is the fruit of human being exceedingly pursuing spirit and culture, whose generation and evolution behave as a evolving process of ecosystem, consequently discusses the humanistic ecology originating from such evolution. The scientific concept of humanistic ecology is put forward depending on humanistic culture in china and western country and modern ecological science, its research spread out from many different visual angle in humanistic culture ; analyses survival corners and spiritual crises confronted by humankind in modern times by means of applying integrity of ecological science and systematic research; indicates that only when solving crises on humanistic ecology will we further settle down crises on the big cultural ecology of human survival and natural ecology .

第一章说明人文文化是人类超越性追求的精神文化成果，人文生态是在中西方人文文化和现代生态科学的基础上提出的科学概念，其研究是在人文文化的多维度、多层次的视角展开，运用生态科学的整体性和系统研究的方法去分析人类现代所面临的生存困境和精神危机，指出只有解决人文生态的危机，才能进一步解决自然生态和人类生存的大文化生态上的危机。

The photocatalytic processes and the production of intermediates and by-products are examined by means of UV-vis spectra, proton-NMR profile, trapping ESR technique, GS-MS, Ion Chromatography,ξ-potential measurements, peroxide measurements and chemical oxygen demand measurements, etc. Some surprising fruitions are acquired for the first time.

借助紫外可见波谱、核磁、自旋捕捉ESR、色质联用、离子色谱、ξ-电位仪、过氧化物以及化学需氧量的测量等技术，对光催化过程及中间产物和付产物的生成进行了检测，获得了一些显著的成果。

Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

I am coming just now,' and went on perfuming himself with Hunut, then he came and sat.

我来只是现在，'歼灭战perfuming自己与胡努特，那麼，他来到和SAT 。