数学分析

The results from confirmatory factor analysis indicated:(1) The structural model of children's early mathematical ability was reasonable and it had good structural validity. In detail, children's early mathematical ability was explained by number, arithmetic, measurement, space/geometry and pattern;(2) The structure of children b early mathematical ability was stable across different ages but the structural model was not consistent completely;(3) Boys' structural model was identical with that of girls'.

经验证性因素分析发现：(1)儿童早期数学认知能力的结构模型是合理的，可接受的，具有较好的构想效度，具体讲，数、计算、测量、空间／几何和模式认知能力五个维度共同解释著儿童早期的数学认知能力；(2)不同年龄儿童早期数学认知能力的结构具有稳定性，但是结构模型並不完全一致，某些项目的解释率有所不同；(3)男、女儿童早期数学认知能力的结构模型具有一致性。

For multi-layer fabric, Kronecker product and yarn grouping of different layers according to the arrangement ratio are combined together to explore the mathematical model of weaves automatic generation. The qualifications of forming the multi-layer weaves are also discussed.

对单系统织物组织类别，首先根据数学描绘的需要进行了重新划分，分为规则组织、准规则组织和非规则组织，接着分别建立了各种类别组织的数学模型，并对组织自动生成的参数和组织构成条件进行了归纳和总结；对于多系统组织的重组织和层组织，结合不同系统纱线按排列比的分组法和矩阵的Kronecker叉积运算建立了组织结构矩阵自动生成的数学模型，并对多系统组织构成条件的数学模型进行了分析。

For single-layer fabric, weaves are re-grouped for the purpose of mathematical description, and they fall into three groups: regular weaves, pre-regular weaves and irregular weaves. And then the mathematical models of every group are established, the parameters and the qualifications of weaves automatic generation are offered too. For multi-layer fabric, Kronecker product and yarn grouping of different layers according to the arrangement ratio are combined together to explore the mathematical model of weaves automatic generation. The qualifications of forming the multi-layer weaves are also discussed.

对单系统织物组织类别，首先根据数学描绘的需要进行了重新划分，分为规则组织、准规则组织和非规则组织，接着分别建立了各种类别组织的数学模型，并对组织自动生成的参数和组织构成条件进行了归纳和总结；对于多系统组织的重组织和层组织，结合不同系统纱线按排列比的分组法和矩阵的Kronecker叉积运算建立了组织结构矩阵自动生成的数学模型，并对多系统组织构成条件的数学模型进行了分析。

The main work and innovation1 In general , a image compression method has different effect to different image . Some are fit for image which has much high frequency . Some are fit for image which has much low frequency .This paper analysis the applicability of fractal algorithm . In this dissertation , an improved algorithum is given . The basic algorithum without eight change and the joint use of quantitative coding , The compression ratio and PSNR can be adjusted , and it can get more quickly speed of coding .2 To a group of exact fractal code , the decoding image can be any resolution .With this characteristic ,choose the proper domain block and range block,this paper get an algorithum which can get higher decoding PSNR and speed than the basic fractal algorithum.3 Give a new method to calculate the scale factor . The calculation of basic algorithum is complex and enormous . The factor of scale is an important variable of the basic algorithm. Now there are two methods to calculate the factor of scale .A new method was given to calculate the factor of scale. The calculation load and complexity are reduced by the new method. Compared with the basic algorithm , the method can reduce coding time.4 The basic fractal algorithum is based on the Collage theorem and contraction mapping theorem . A mathematic model based on basic fractal algorithum is given .

本文的主要工作及创新点主要包括以下几点：1一般情况下，一种图像压缩的方法对不同特点的图像，压缩效果会有所不同，本文利用分形压缩编码对不同特点的图像进行编码，分析了分形编码对不同图像的编码适用性，利用去掉8种变换的分形编码算法与简单的均匀量化编码方案相结合，得到了一种可以调节压缩比与解码质量的分形编码方案，该提高编码速度6倍以上。2分形编码的特点之一是分形解码的分辨率无关性，即对于一组分形编码可以将其解码到任意分辨率下，本文利用分形编码的这一特点，结合不同的量化编码方案，选择合适的定义域块与值域块及适当的编解码分辨率，得到了一种提高解码质量，编码速度提高12倍以上的加速算法。3比例因子是基本分形算法中的一个重要变量，目前有两种计算比例因子的方法，文中给出了一种新的求比例因子的方法，该方法简化了求比例因子的计算，从整体上减小了基本分形算法的计算量，简化了算法4分形压缩的数学基础是不动点定理与拼贴定理，本文根据基本的自动分形编码方法，建立数学模型对其进行推导，得到了用普通数学的极限理论解释分形编码的数学表达式，从而对由基本分形编码得到的解码图像中的像素点的值给出了确定的表达式。

In this paper, based on the experimental studies, the effects of the ARC-3 glass fiber for the improvement of the flexural tensile and the unconfined compressive of the concrete are analysed. Further statistical relations between flexural tensile strength, volume ratio of fiber and curing time, and a mathmatical model of the flexural tensile is presented. Finally, the optimum fiber volume ratio in the concrete is presented. In this paper, a mathematical model of the volation between the flexural ten...

本文通过大量试验研究，分析了ARC-3型高耐碱玻璃纤维对水混混凝土抗折强度及抗压强度的增强效果；提出了抗折强度与纤维掺量和龄期的统计关系，以及抗折强度的数学模型；提出了最佳纤维掺量；从玻璃纤维增强混凝土的应力-应变关系分析了其塑性性质和抗裂性能，对其抗压模量和抗弯模量的测试分析，提出工程设计时可忽略模量的变化；本文给出的抗折强度与抗压强度关系的数学模型，可直接供生产单位使用。

In this thesis, the author combined system engineering theory and fuzzy mathematics with water-power engineering, by the research of fuzzy mathematics and risk analysis technique, the application of fuzzy comprehensive evaluation and risk analysis technique in the decision of construction period and selection of different schemes is discussed. And the proposed analysis technique is validated by the application of practical engineering.

本文将系统工程理论及模糊数学理论与水利水电工程实际相结合，通过对模糊数学和风险分析技术的研究，讨论了模糊综合评判法和风险分析技术在大型水利工程工期论证和方案选择中的应用问题，并结合具体工程中的实际应用，说明该种分析技术可为同类工程借鉴和应用，具有较好的应用前景和价值。

The methods of documental research and experience-summarizing research are used in the thesis.

本文采用文献法、经验总结法，在研究数学阅读教学实施现状和对数学阅读价值分析的基础上，充分论证了高中数学新课程中设立数学阅读内容的必要性。

Then the author reviews the content of risk analysis of regional natural disasters and the mathematical models of risk assessment. The risk analysis is classified into three steps, risk recognition , risk estimation, and risk assessment and the mathematical models into three types, extreme risk model, probability risk model and possibility risk model. Nextly, the possibility risk model for analyzing regional disaster risk are reviewed thoroughly.

综述了区域灾害风险分析的内容及区域灾害风险估算的数学模型，指出风险分析可归结为风险辨识、风险估算、风险评价三个环节，风险估算数学模型的演进可概括为极值风险模型、概率风险模型、可能性风险模型三个阶段，着重介绍区域自然灾害风险分析的可能性风险模型。

The detailed finite element analytical computation was successfully carried out on this structure and the stress and strain distribution of this structure were obtained under various actual operating conditions, thus laid a foundation for the structural improvement and optimization design of the rear loaded garbage compressing cart.

采用实际测试和变参数描述相结合的方法给出垃圾载荷的数学表达，利用ANSYS进行结构有限元分析调校载荷数学表达中的可变参数，保证了分析计算与实验测试结果的一致性，成功地对该结构进行了详尽的有限元分析计算，获得了该结构在各种实际工况下的应力及变形分布，为后装式压缩垃圾车的结构改进与优化设计打下了基础。

Through the analysis of the work principle of three phases voltage resource PWM converter, set up the low and high mathematic models, deduce the restriction equations about grid voltage, grid current, modulation voltage and the DC output voltage and the calculation equations of the AC-side inductance and the DC-side capacitance. There are two control strategies are adopted: Predicted current control strategy and voltage-current two closed-loop control strategy, and give a comparison by theory and practice.

通过分析三相电压源型PWM变换器的工作原理，分别分析了低频和高频数学模型，并推导出了交流侧电压电流、调制电压、直流侧电压之间的数学约束关系以及交流侧电感和直流支撑电容参数的选取依据公式；分析对比了两种控制策略：预测电流控制和电压电流双闭环控制并加以实验验证；同时采用了负载电流前馈补偿和本文提出的一种基于专家系统的神经元新型智能PI控制器两种方法大大提高了整个系统的动态响应性能，并在仿真和实验中加以验证，这也是本文研究的重点内容之一。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。