第三

This paper begin with a review of curves and surfces modeling, then we discuss the parametric polynomial minimal surface. This is followed by a discussion of the representations of catenoids and helicoids. Next, we discuss the numeric approximations to the minimal surfaces with piecewise polygons and B-Spline surfaces.

全文安排如下首先，我们简要回顾曲面造型历史和发展现状在第二和第三章，讨论参数多项式极小曲面；在第四章讨论悬链面和螺旋面的表示；在第五章讨论极小曲面的分片线性逼近；在第六章讨论极小曲面的B-样条逼近；最后，我们对全文做简单的总结。

In chapter two, under non-Lipschitz condition, the existence and uniqueness of the solution of the second kind of BSDE is researched, based on it, the stability of the solution is proved; In chapter three, under non-Lipschitz condition, the comparison theorem of the solution of the second kind of BSDE is proved and using the monotone iterative technique , the existence of minimal and maximal solution is constructively proved; in chapter four, on the base of above results, we get some results of the second kind of BSDE which partly decouple with SDE, which include that the solution of the BSDE is continuous in the initial value of SDE and the application to optimal control and dynamic programming. At the end of this section, the character of the corresponding utility function has been discussed, e.g monotonicity, concavity and risk aversion; in chapter 5, for the first land of BSDE ,using the monotone iterative technique , the existence of minimal and maximal solution is proved and other characters and applications to utility function are studied.

首先，第二章在非Lipschitz条件下，研究了第二类方程的解的存在唯一性问题，在此基础上，又证明了解的稳定性；第三章在非Lipschitz条件下，证明了第二类BSDE解的比较定理，并在此基础上，利用单调迭代的方法，构造性证明了最大、最小解的存在性；第四章在以上的一些理论基础之上，得到了相应的与第二类倒向随机微分方程耦合的正倒向随机微分方程系统的一些结果，主要包括倒向随机微分方程的解关于正向随机微分方程的初值是具有连续性的，得到了最优控制和动态规划的一些结果，在这一章的最后还讨论了相应的效用函数的性质，如，效用函数的单调性、凹性以及风险规避性等；第五章，针对第一类倒向随机微分方程，运用单调迭代方法，证明了最大和最小解的存在性，并研究了解的其它性质及在效用函数上的应用。

The minor pentatonic scale contains the root, flattened third, fourth, fifth and flattened seventh.

未成年人的五声音阶包含根，夷为平地第三，第四，第五和第七夷为平地。

This thesis is divided into six parts. The first chapter is preface, the current status of research in the inverse problems for parabolic partial differential equations is reported; the second chapter is "regularization methods for numerical differentiation and their applications ", in this chapter we investigate many regularization methods from a viewpoint of regularization theory and algorithm, some applications in the inverse problems for parabolic partial differential equations are given; the third chapter is "spectral regularization methods". Based on Fourier analysis, within the framework of regularization theory, we apply the spectral methods to some ill-posed problems. Many numerical experiments are done in order to show the validity of the methods; the fourth chapter is devoted to wavelet dual least squares method and a revised wavelet method; in the fifth chapter,we combine finite difference method with method of lines and apply it to the backward heat conduction problem in time; in the sixth chapter "identification problems for unknown source ", the essence and the degree of two problems related to source identification are pointed out, at the same time, some numerical methods are reported.

本文分为六个部分，第一章前言简要分析了国内外抛物型偏微分方程反问题的研究现状；第二章数值微分的正则化及其应用从正则化理论和算法的角度出发，考察了许多正则化方法，还给出了数值微分在抛物型偏微分方程反问题的一些应用；第三章谱正则化方法是在Fourier分析的基础上，在一般正则化理论的框架下，给出了这种方法在各种不适定问题中的应用，数值实验表明谱方法是有效的；第四章研究了小波对偶最小二乘方法和改进的小波方法；第五章主要研究了有限差分方法结合线方法在时间反向热传导问题中的应用；第六章是未知源识别问题，主要指出了两类未知源问题的不适定程度和不适定本质，同时报告了一些数值方法。

The results showed that the half of decay time of methyl parathion in Chinese cabbage was 2.91 days.

喷药后，在第零天、第一天、第二天、第三天、第五天、第七天分别取样，用气相色谱法分析测定甲基对硫磷在小白菜上的残留量，得出甲基对硫磷残留量与时间的关系。

Introduction Chapter I introduces the purpose and significance of the topic, as well as stubble pulverizer introduced at home and abroad in the current status and trends of development, The second chapter introduces the various types of stubble pulverizer and its characteristics, Chapter III has made for the future stubble pulverizer in the study design and the production of some of the envisaged applications, the fourth chapter is the overall design stubble pulverizer calculation, Chapter V of this meeting for some of the experience of curriculum design experience, the sixth chapter references.

第一章引言主要介绍了该题目的目的和意义以及介绍了根茬粉碎机在当前国内外发展的现状和趋势，第二章主要介绍了根茬粉碎机的各个类型和其特点，第三章主要提出了对于未来根茬粉碎机在研究设计以及生产应用中的一些设想，第四章是根茬粉碎机的总体设计计算，第五章是对于进行本次课程设计的一些经验心得，第六章是参考文献。

This article will mainly be from the following part of: the first part: About the cost of the concept of change; Part II: Trade Unions about salaries of individual projects deal with change; Part III: Workshop about the deal with repairs Change in fixed assets; fourth Part I: Recognition and Measurement regarding intangible assets on the cost, the cost of the impact of change; Part V: Borrowing Costs about recognition and measurement of cost, the cost impact of change; Part VI: On the recognition and measurement of enterprise income tax on the income tax costs of the Change .

本文将主要从以下几部分进行阐述：第一部分：关于费用概念的变化；第二部分：关于职工薪酬个别项目的处理变化；第三部分：关于生产车间固定资产修理费的处理变化；第四部分：关于无形资产确认与计量对成本、费用的影响变化；第五部分：关于借款费用确认与计量对成本、费用的影响变化；第六部分：关于企业所得税确认与计量对所得税费用的影响变化。

The sample comprised 25 patients with the first premolar removed during orthodontic treatment. Digital models and lateral cephalometric records were taken pre- and post- treatment. We chose two kinds of regional superimposition methods on the digital models (One was the mesial zone of the third primary ruga and regional palatal vault, the other was the palate) and Baumrind's best-fit for cephalometric superimposition. The amounts of incisor and molar movement were measured and a comparative study was performed.

三。选择25例拔除上颌第一双尖牙正畸患者治疗前、后的上颌模型进行三维重建，分别使用第三腭皱近心端局部腭穹隆和腭部对同一患者治疗前、后的数字化模型进行局域重叠，以治疗前后头颅侧位片的 best-fit重叠为评价标准，比较三种方法之间的差异，对应用三维数字化牙颌模型纵向重叠评价正畸治疗前、后的牙齿移动进行探索性研究。

The Main Body Part comprises 6 chapters: Chapter 1 summarizes the teaching appraisal, analyzes the limitations and point out the development direction. Chapter 2 designs appraisal methods and implement approach for schoolchild. Chapter 3, 4 and 5 discuss respectively the function of teacher student and appraiser. In Chapter 6 principles in appraisal was recommended.

正文共六章，第一章对音乐教学评价进行了概述，分析了国内外教学评价的现状及问题并指出发展趋势；第二章提出了适合小学科学评价的方法及实施途径；第三、第四、第五章分别论述了教师、学生、课程管理者在评价体系中的地位及作用；第六章主要阐述评价者实施教学评价时所应把握的原则。

The thesis consists of six chapters. In the first, the technologies of atomic force microscopy and of the measurement elasticity of biomolecules were introduced. In the second, the validity of VSPFM was confirmed by lift mode atomic force microscopy. In this chapter, the height of DNA was measured by lift mode atomic force microscopy, which demonstrated that the method of height measurement of biomolecules by VSPFM was correct and established the foundation of the method of measurement elasticity of biomolecules by vibrating mode scanning polarization force microscopy. In the third chapter, detailed work has been illustrated on the foundation of the method of measurement elasticity of biomolecules by VSPFM. And the compressive elasticity of DNA was measured. In fourth and fifth chapters, the method was applied in the measurement elasticity of proteins. Two proteins elasticity, fibre-like protein α-synuclein and global protein IgG, were measured by VSPFM, through which the method wound its way to the application of biomolecules. In last chapter, the final part of the thesis was a summary. A conclusion of the thesis and a self-comment on my work as a PhD candidate have been made, and expectation about the further works has been addressed.

本论文共分为六章，第一章，引言部分主要介绍了原子力显微镜技术及生物大分子弹性测量技术；第二章主要是VSPFM方法的正确性论证，介绍抬高模式原理，利用抬高模式原子力显微镜对DNA的高度进行测量，论证振动模式扫描极化力显微镜测量生物大分子的高度的正确性以及准确性，从而为振动模式扫描极化力显微镜测量生物大分子的弹性方法的建立奠定基础；第三章以脱氧核糖核酸为例详细介绍了振动模式极化力显微镜测量生物大分子弹性的方法的建立，对DNA的压弹性进行了初步的测量和分析；第四章和第五章介绍了振动模式扫描极化力显微镜在蛋白质弹性测量中的应用：α-synuclein和IgG分别是纤维状蛋白和球状颗粒蛋白，通过振动模式扫描极化力显微镜测量这两种蛋白质的弹性，摸索振动模式扫描极化力显微镜在蛋白质弹性测量中的应用；第六章对全文进行了总结，在对论文的工作进行归纳和自我评价之后，还对进一步的工作进行了展望。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。