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"Mathematical analysis ","probability theory and mathematical statistics","function of complex variable"," differential equation ","mathematical experimentation ", etc..

数学分析》、《概率论与数理统计》、《复变函数》、《常微分方程》、《数学实验》等。2000年以来，在《云南大学学报》等刊物上公开发表学术论文7篇。

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 paper analyses material transportation problem and give the solvable methods; analyses delivery vehicle route problem, and then construct its corresponding mathematical model and present a heuristic algorithm based on C—W algorithm; analyses the optimum scheduling problem of trucks, and then construct its corresponding mathematical model and put forward a new algorithm; analyses the Postal Transportation Problem which will perhaps be used in supply chain of manufacturing system, and then construct its corresponding mathematical model and present an approximation algorithm.

分析了制造系统供应链中供需平衡、供需不平衡、有转运等各种情况下的物资调运问题，给出了求解方法；分析了制造系统供应链配送作业中的配送车辆路线问题，建立了相应的数学模型，提出了一种基于C-W算法的启发式算法，该算法较好地解决了有时间约束的配送问题；分析了制造系统供应链中的货运卡车优化调度问题，建立了相应的数学模型，提出了一种基于表上作业法的求解算法；分析了制造系统供应链中有潜在利用价值的邮政运输方式问题，在详细描述了该问题的基础上，建立了相应的数学模型，提出了一种近似求解算法，该算法较好地解决了邮政运输方式这样的多种物流、多种运输方式，有严格时限和众多外部约束的特大型、复杂、并行的交连系统的计划调度问题。

Mathematical model 3.7, 3.16 and 3.30 are the mathematical model of a equilibrium population, and they can be converted into mathematical models of panmixia population and nonequilibrium selfing population.

它可以转换为随机交配群体的数学模型和非平衡自交群体的数学模型。

First introduced highway alignment's definition, the significance, the developing process and the CASIO series calculator in the highway surveying computation application; Using the traverse survey computation's two basic mathematical model (azimuth calculation, coordinate calculation), compile the corresponding procedure to solve echo the wire coordinate computation; With the aid in the mathematical model which three, four and so on leveling's field operations calculate, compiles the corresponding procedure to solve the road elevation survey computation; According to relaxes the circular curve principal point and the detail coordinate computation mathematical model, based on this programs the solution to relax the circular curve coordinate principal point and the detail coordinate computation, then further develops this procedure to use to calculate the circular curve principal point and the detail coordinate computation.

首先介绍了公路线路的定义、意义、发展过程和CASIO 系列计算器在公路测量计算的应用；利用导线测量计算的两种基本数学模型，编写相应的程序以解决附和导线坐标计算；借助于三、四等水准测量的外业计算的数学模型，编写相应的程序以解决公路高程测量的计算；根据缓和圆曲线主点及细部点的坐标计算的数学模型，在此基础上编程解决缓和圆曲线坐标主点及细部点坐标的计算，然后进一步开发此程序用以计算圆曲线主点及细部点的坐标计算。

Learning of mathematical concepts of self-questioning approach: I can use mathematical symbols, graphics, mathematical language the essence of this concept?

对数学概念学习的自我提问方式：我可以用数学符号、图形、数学语言表述这个概念吗？

The main points of his ontological interpretation are as follows:As mente concipere,a project of thingness which,as it were skips over the things,The mathematical is the consequence of a mode of Dasein,is the nature of the mathematics and modem science;modem science is based on the mathematical of the modem metaphysics;objective truth is not original;The debate between objectivism and subjectivism is the result of the reign of mathematical Dasein.

科学危机不代表着理性本身有问题，而是表明需要正当使用理性。超验主义是拯救危机的真正道路。在存在论视域下，近代科学之数学特征具有存在、真理和工具三层面意义。海德格尔认为客观真理论和工具论虽然是正确的，但是肤浅的。

The main points of his ontological interpretation are as follows:As mente concipere,a project of thingness which,as it were skips over the things,The mathematical is the consequence of a mode of Dasein,is the nature of the mathematics and modern science;modern science is based on the mathematical of the modern metaphysics;objective truth is not original;The debate between objectivism and subjectivism is the result of the reign of mathematical Dasein.

海德格尔进一步指出，近代科学的数学因素本质决定了它的所谓不思性。这不是说它没有思维，而是强调它只是计算性思维，不是沉思之思，因而不能认识自身。

Find out a class of CA universal rules for Mathematical Morphology and first implement Mathematical Morphology with CNN-UBN. So a class of image processing problems based Mathematical Morphology can be solved with CNN effectively.

找到了数学形态学二维CA实现的通用规则，首次用具有二进制神经元的细胞神经网络实现了数学形态学，使基于形态学的一类图像处理问题可以用CNN来解决。

Though written examination is an important way to the quantitative assessment, it ought to emphasize the understanding of mathematical concepts, the grasp of methods of mathematical thoughts, the ability of mathematical thinking deeply, exploringly and revolutionarily to deal with real problems.

笔试仍是定量评价的重要方式，但要注重考察对数学概念的理解，数学思想方法的掌握、数学思考的深度、探索与创新的水平以及应用数学解决实际问题的能力等。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。