数学基础

In this thesis, according to the theory of potential flow, the mathem-atical model of two bodies moving in inviscid fluid with arbitary 3-dimensional shape is presented and the formula of interacted force between them is derived.

本文以势流理论为基础，根据水下两个物体运动的数学模型，给出了它们间相互作用力的公式。

The mathematical models of screed unit as well as hydraulic system parts are systematically answered, including the calculation of kinetical model based on hypothesis factors and dynamical model in consideration of forces acting on the screed.

在分析液压部件环节数学模型的基础上，首次系统地推导了熨平机构环节的运动学模型和动力学模型，并对系统的数值计算结果和实验结果作了对比分析。

Compare with the ability of eliminate the foam, Throught the test to discover, the taper of the diffuse pipeline of the eliminating-foam equipment can not small, the taper of the diffuse pipeline greater than 79/350; The length of the diffuse pipeline of the eliminating-foam equipment greater than 350mm; Whether the speed of the foam can too high, the velocity of the foam 0.3～0.6m/s; The width of lacune is between 0.2 and 0.5mm.

由于泡沫的流变性难以控制和测试，其变化较大，提出以利用所有泡沫钻探生产的钻进压力值，利用数学分析的方法对这些钻进压力值进行分析，在此基础上总结出更加合适、简捷的泡沫灌注压力公式。

Based on conventional model of flood control benefit,several kinds of uncertainties,including hydrological,hydraulic,structural,managemental and operational uncertainty,are synthetically analyzed.

在传统防洪效益计算的数学模型基础上，综合分析了水文、水流、工程施工和运行管理等多种不确定性，建立了长江中游防洪系统防洪效益的风险分析模型。

E as governing equation by Massel. Whats more, a new explicit solution to the wave dispersion relationship with higher accuracy is adopted in my work. Non-linear factors are also considered.Several verifications are performed to validate the accuracy of the numerical model on representative topography.

本文中数学模型的建立是以Berkhoff提出的椭圆型缓坡方程为基础，利用Massel由经典缓坡方程推导出的扩展模式为控制方程，同时引入了一个新的线性弥散关系显式解公式，并且考虑了非线性的影响因素。

On viewing to curriculum reform, we also think about the relation between DGS and geometry characters, and affirm its effect on realizing new ideas. So we can base our exploration into mathes teachers on these arranging related document.

在此基础上，我们对西安市多所中学的数学老师进行调查，通过问卷、访谈等方法，分析我国城市教师应用DGS技术的熟练程度以及相应的教学态度、兴趣和对DGS的认识，发现了我国在DGS技术应用和研究方面的一些问题——DGS技术的教育价值并未真正被广大教师领悟，指出我们开展该课题研究的实际意义。

Distribution ratios of complex extraction for different operation conditions were forecasted. Using mass action law, the liquid-liquid equilibrium models of complex extraction of monobasic and polybasic carboxylic acid have been successfully induced, and physical extraction were also considered in the model. On the basis of orthogonal experiments, the models of equilibrium distribution ratios were established. The processes of complex extraction were tested and verified. Comparing experimental data with model values, it could be held that the regression precision of model was rather high and the model supplied fundamental data for industrial amplification and practical use of complex extraction.

采用质量作用定律分析方法，成功地推导了同时考虑物理萃取的一元及多元羧酸络合萃取通用液-液平衡数学模型，并在正交试验基础上建立了磷酸三丁酯络合萃取丁酸、三烷基胺（7301）萃取丁酸、丁二酸、柠檬酸的平衡分配系数模型，从平衡角度对络合萃取过程进行了验证与预测，通过实验数据与模型计算值比较，表明模型的拟合精度较好，从而为络合萃取技术的工业放大与实际应用提供了重要依据。

Since 1957 Lee's "weak interaction in the parity nonconservation" concept was experimental and that shared the Nobel Prize in Physics; its 1954 proposed standard field theory, in the 1970s developed into integration and understanding elementary particle strong and weak, and electromagnetic interactions of the three foundation are also in the statistical physics, condensed matter physics, quantum field theory, mathematical physics in a number of outstanding major contribution.

著名美籍华裔科学家、物理学大师、诺贝尔物理学奖获得者。1957年由于与李政道提出的&弱相互作用中宇称不守恒&观念被实验证明而共同获得诺贝尔物理学奖；其于1954年提出的规范场理论，则于70年代发展成为统合与了解基本粒子强、弱、电磁等三种相互作用力的基础；此外并曾在统计物理、凝聚态物理、量子场论、数学物理等领域作出多项卓越的重大贡献。

Furthermore, we discussed and pointed out the exact distinction of the meanings of reactive current, irregular current, reactive power and irregular power, then we give them proper mathematic definition with uniformed conception respectively, we established new power system, which is helpful for people to understand about nonsinusoidal system and its energy conversion much more deeply and substantialy, especially to gain new ideas on depressing and eliminating harmonic waves, and some new design method for more satisfying correcting power function, and different kinds of compensation and eliminating harmonic wave systems.

本文分析了传统的正弦系统有关定义及其与非正弦系统的异同，指出了前者存在的缺点，结合所给特例，讨论并确定了时域中非正弦系统有功电流和有功功率的严格定义，阐明了畸变功率在非正弦系统能量转换过程中所起的作用，在上述基础上，进而讨论并严格区分子无功电流、畸变电流、无功功率、畸变功率等的含义，并利用变分法给出了与上述含义相一致的各个概念的严格的数学定义；提出了新的功率体系。

Then,based on the anatomical and physiological research of human eyes,a 3D oculomotor control system model of biomimetic robot eye which can realize the functions of human eyes is developed according to the oculomotor neural paths.

然后，在人眼解剖学和生理学研究的基础上，根据控制眼球运动的神经回路，建立了可实现人眼功能的仿生型机器人眼三维眼球运动控制系统的数学模型。

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。