数学化

At the very beginning, the flexibility of mathematics curricular in Japan, Korea and England were introduced.

日本、韩国和英国弹性化数学课程都有各自的具体表现方式。

The parameterization of section contour data is carried out by the method of accumulated chord length, the reasonable math model on the selection of node vector is given, the approximating of NURBS curve to section contour data is carried out by the least square method and the most reasonable number of control point is obtained by the dimidiate algorithm, which makes the approximating of NURBS curve reach the extent of complete automation.

用积累弦长的方法对截面轮廓数据进行参数化；给出了节点矢量选择的合理数学模型；用最小二乘法对截面轮廓数抛进行了NURBS曲线的拟合；二分法寻找最优控制点的算法使NURBS曲线的拟合达到全自动化的程度。

Then, gasification experiments of high ash melting point coal with dry pulverized coal feeding were carried out on the gasification test system, the flame images were observed to validate the feasibility of flameless gasification inside the gasifier, temperature distributing inner the gasifier and syngas components were measured under different / atom ratio and steam/coal ratio conditions.

进而，建立煤粉气化炉的物理和数学模型，运用概率密度函数方法对高灰熔点煤在基于无焰氧化的煤粉气化炉内的气化过程进行了模拟计算，参照小试的试验工况，验证了气化炉模型；分析了不同氧碳原子比、蒸汽煤比和气化压力对高灰熔点煤气化特性的影响，并可视化地研究在典型工况下高灰熔点煤在该气化炉中气化过程，为进一步炉型结构和气化工艺的优化设计提供依据。

And then, using Matlab, we give some examples on regular surfaces. For example, plane, helicoidal, 3-dimensional Gauss profile, etc.

最后利用数学软件Matlab，给出了一系列的由光滑曲面上的参数曲线网经过离散化得到的离散参数曲线网，如平面，正螺面，三维Gauss型分布图，由3dMax生成的一般曲面等。

The paper presents work principium of hydropneumatic elevating-equilibrium mechanism , and the mathematical model for balance of elevating-equilibrium mechanism was proposed, the design model was solved by using Maximum-minimize Method in MATLAB optimization toolbox and optimum procedure was presented.

对液体气压式高平机的工作原理进行了介绍，建立了高平机的平衡作用数学模型，应用MATLAB优化工具箱中的最大最小化方法对设计模型进行了优化求解，给出了高平机的结构优化程序，计算结果表明该方法是正确和有效的，并且适用于火炮平衡机等类似结构的优化设计中。

In this paper,the condition that gas flow through wood in the pattern of linear flux wasdetermined from the theories of thermodynamics and fluid mechanics.The expression of flow-resistor of tracheids is reduced with the continuity equation and the equation of motion indifferential form.The flow-resistor network is constructed by means of the theory ofpercolation.The equivalent flow-resistor was evaluated by utilizing the real spacerenormalization approach.

本文根据针叶材管胞的解剖结构，运用孔隙介质流体力学的理论，导出了管胞关于气体渗透流阻的数学表达式；继而根据管胞纹孔在三个纹理方向上的连接特性，利用管胞流阻建立了一个描述针叶材三个纹理方向气体渗透性的三维流阻网络；然后运用实空间重整化变换的方法，求解试件流阻网络三个纹理方向的等效流阻，并由此计算试件相应的气体渗透系数；最后用我国南方常见的人工林马尾松木材试件进行渗透系数实际测量，与理论计算结果进行对比分析，以验证三维流阻网络及其理论的准确性。

It researches on the approach to achieve continuous connections of container multimodal transport logistics system. Based on the idea of continuous connections the paper discusses the container transport choosing route problem. It combines the appropriate adimensionalize method in the appraisement method and mathematic model and resolves the problem that the unit of time and cost disunite and sets up the time-cost transportation route optimizing model which is an innovation on the basis of previous studies and gives an example to validate the model using the LINDO software.

在&无缝衔接&的思想下研究集装箱运输路径选择问题，在前人的研究上进行了创新，将评价方法中的合适的无量纲化方法与数学模型结合，解决了时间和成本单位不统一的问题，建立了时间—成本运输径路优化模型，并举例验证应用LINDO软件进行求解，说明了此模型的正确性。

At the same time it has a simple control structure and can linearize the system even it is unnecessary to know mathematical models and actual parameters of original system.

而且控制结构简单，在无须知道系统的数学模型和具体参数的情况下，即可实现系统的大范围线性化，从而为逆系统方法的工程实现提供了一条有效途径。

Further, relied on the analysis of dynamics of the system, a mathematical model structure with some unknown physical parameters was derived and a state space equation was approximated by using linearize method and state variable technique.

通过系统的动力学分析，推导了一个含有某些待定参数的数学模型结构，并应用线性化和状态变量技术求得了系统的状态方程式。

Mathematics exercise solution thought process displays in:Recognition and understanding, association and exploration, appraisal and choice, operation and realization, promotion and consummation; Its thought characteristics display as integrity, radiation and astringency, goal consciousness, disorderly and ordering, non-logical and logicalization characteristic.

数学习题的求解的思维过程表现在：认识与理解、联想与探索、评价与选择、操作与实现、推广与完善；其思维特征表现为整体性、发散与收敛性、目标意识、无序与有序化、非逻辑与逻辑化特征。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。