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This course offers advanced topics for students who have learned ordinary differential equations. The course includes linear algebra which has topics as matrices, linear systems of equations, eigenvalue problems, vector differential and integral calculus. Fourier series, orthogonal functions, Fourier

本课程为提供已有常微分方程式基础的同学修习、内容包括线性代数、矩阵运算、特徵值问题、向量的微分与积分、一阶线性微分方程组、傅力叶级数和正交函数、傅力叶转换、并将对椭圆、抛物线、双曲线型式的偏微分方程式作概略介绍。

The controller's parameters were identified directly without solving the Diophantine equation or the inverse of matrices, and the online computing time was shortened, which makes the approach be very suitable for the fast rolling process.

采用对模型要求宽松的广义预测控制方法,基于广义误差估计值对控制器参数进行自适应调整,直接辨识控制律参数,省略Diophantine方程的求解、矩阵的求逆,缩短在线计算的时间,适用于快速的轧钢过程。

This work is sometimes said to have influenced Paul Dirac in his creation of the Dirac equation for the relativistic electron, though Dirac stated that he invented these same matrices himself independently at the time, without Pauli's influence.

泡利的主要成就是在量子力学、量子场论和基本粒子理论方面,特别是泡利不相容原理的建立和β衰变中的中微子假说等,对理论物理学的发展做出了重要贡献。1945年,泡利因他在1925年即25岁时的"发现不相容原理",获诺贝尔物理学奖。

In this thesis, with the aid of the method of reconstructive direction cosine matrices of the analysis and synthesis of spatial mechanism, the more overall and systematic theoretical research is done about trident-bar universal joint and drawn some useful conclusions about kinematics analysis, dynamics analysis, kinematical precision analysis, vibration analysis, simulation and experimental results analysis, mechanism type selection analysis based method of fuzzy distinguishable pattern, integrated designing prototype system.

本文以改造的方向余弦矩阵为数学工具,以三叉式万向节为研究对象。进行了机构有关的解析求解、仿真和试验结果分析,基于模式识别技术的机构选型及机构的集成设计原型系统,得出了以下结论:(1)采用改造的方向余弦方法适用于空间机构的运动求解及动力求解。它的特点是解析明了,以矩阵方式体现,适合计算机求解。并以万向节为实例进行了万向节的详细的运动分析,建立了求解的各个变换矩阵,得出了机构的详细的运动关系。

However, the main aim is discontinuously reinforced titanium matrix composite prepared by traditional technique such as powder technology and liquid metallurgy, where the ceramic particles are directly incorporated into solid or liquid matrices respectively.

人们对其制备工艺、微结构、力学性能等进行了一系列的研究,而这些研究的主要目标为外加法制备的钛基复合材料。

In this paper a production process flow chart of discrete manufacturing is presented by means of petri net, the optimization model of workload-stock is established. An approach of the optimal workloads is provided using analysis integer programming and integer matrices.

本文以Petri网作出一个离散制造中的生产过程流程网,建立起工作量与库存的优化模型,以整数规划与整数矩阵等分析算法给出一个在生产中制定最优工作量规划的方法。

Also, the remaining reduced density, matrices ρ〓 can retain entanglement or disentanglement independently, which can be chosen freely according to our requirement, and the relative entanglement strength of any pair of particles can be arbitrarily adjusted.

我们的研究表明:在SLOCC下,虽然三粒子纠缠纯态可简单地分为两类,即GHZ类和W类,但同类的三粒子纠缠态不一定具有相同的纠缠特性,除了那些在LU下等价的态。

Utilizing the inclusion relationship between two subsets or subspaces, disjunct matrices with the same number of elements 1 in each row and column were constructed. However, the experimental number of elements was greater than the lower bound of information.

利用子集或子空间之间的包含关系可以构建出分离矩阵,它的每行和每列中元素1的个数分别都一样,但试验总次数即行数明显大于信息下界。

Group testing; d—separable matrix;—separable matrix; d—disjunct matrix; error-tolerant matrix; construction of separating matrices; transversal design; probabilistic method; Las Vegas algorithm; line graph; competition number

基础科学,数学,代数、数论、组合理论群试理论; d-可分矩阵矩阵;-可分矩阵; d-分离矩阵;容错矩阵;横向设计;概率方法; Las Vegas算法;线图;竞赛数

It is very difficult to eliminate these influence factors completely by conventional treatment. Surface properties and surface treatment of ultrafine red phosphorus and MMT and their interface properties with polymer matrices were studied in this thesis. The results were characterized by GC, FTIR, XRD, DTA, TG, XPS, UV, SEM, TEM and other physical and chemical methods. The main contents are as following: 1. The study of factors influencing ultrafine red phosphorus's invariability and phosphine liberation indicated red phosphorus undergone oxidation and dismutation reaction in air, and trace ion of iron, copper and nickel fastened water absorption and oxidation, in which the effect of copper ion was the most, while aluminium and zinc ion could slow down red phosphorus'oxidation, and silver ion had the best effect on red phosphorus moisture absorption. Inhibitors such as aluminium hydroxide, magnesium hydroxide, organic phenol and ferrous potassuim cyanide had a good effect on reducing red phosphorus moisture absorption and restraining phosphine liberation.

本文围绕纳微米材料的表面处理及其在高聚物基体中的应用这一主题,系统地研究了超细红磷和蒙脱土两种常见材料的表面特性、表面处理方法及其与高聚物基体的界面特性,通过气相色谱、红外光谱、X射线衍射、差热、热重、X射线光电子能谱仪、紫外光谱、扫描电镜、透射电镜等现代分析仪器以及其它物理、化学方法对实验结果进行了表征和分析,全文主要内容如下: 1、对影响超细红磷安定性的因素以及磷化氢的缓释研究表明:红磷在空气中发生缓慢氧化、歧化反应,微量的铜、铁、镍等金属离子增加了它的吸水和氧化速度,其中铜离子的作用最为明显,而铝、锌等离子减慢了红磷的氧化速度,银离子对减少红磷的吸湿性效果最好。

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There are different types of personal loans available.

有许多不同类型的个人贷款优惠。

The above mentioned teaching model of spiral rising can be used to avoid rigidness in teaching.

上述螺旋式上升的教学模式,可以避免教学形成模式後的僵化现象。

In addition, the mass transfer process of main components in the heat pump cycle, such as a generator and an absorber, is analyzed, and the mass trasfer model, the relation of its separation effectiveness with the thermodynamic inconvertibility are described.

根据热力学第一、二定律,从理论上建立了描述该类热泵的数学模型。从热力学不可逆性原理出发,分析了热泵循环过程的热力学不可逆性引起的〓损失。