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Partial and total differentials, Vector analysis, Orthogonal curvilinear coordinates, Matrices and

基础物理数学( S0043)(0，3)/基础应用数学( S0249)(0，3)偏微及全微分(1)、向量分析(7)、正交曲线座标系(3)、矩阵及本徵值问题(4)、常系数全微分方程式(1)。

By introducing reasonable fundamental assumptions and the Green strain in orthogonal curvilinear coordinates,geometric equations expressed by the Green strain tensor for solving thin shells with large deformation are derived in this paper.

将正交曲线坐标下的格林应变张量引入到薄壳大变形分析，通过建立恰当的基本假设，直接导出了用格林应变张量表示的壳体变形几何方程，将该方程代入到本构方程，由能量原理得到了小应变非线性变形平衡方程、内力方程和边界条件，在此基础上提出了大应变变形的简化分析方法。

Based on depth averaged mathematic model of flow and pollutant tr ans portation in non orthogonal curvilinear coordinates , the k-ε double equat ions' turbulence model and the coupling arithmetic of velocity water depth are a dopted, which are applied to the numerical simulation of the flow and the contam ination diffusion transportation.

基于非正交曲线坐标下水流与污染物扩散输移的深度平均数学模型，采用k -ε双方程湍流模型和速度—水深耦合算法，应用于实验室连续弯道的水流及污染物扩散输移的数值模拟，分别计算了流场及岸边和中心污染物排放的浓度场，得到与实测值吻合良好的计算

When these coefficients are quadratic functions of the porosity, specific constituent orthogonal weighting coefficients are derived from these orthogonal conditions along with a discussion about how to extend the applicable range of the constituent orthogonal weighting coefficients in the orthogonal coordinates. Based on the combination of the theory of critical porosity and the constituent model, it presents a specific example of the constituent model that includes two transforming points. The reasonability of above-mentioned theories is shown by comparison of theoretical calculations and measured data on effective elastic moduli of clean sandstone or sandstone analogs saturated with pure water.

再次，结合弹性模量组分关系方程与正交基函数理论，推导组分加权系数的正交条件；基于正交条件，提出组分加权系数为孔隙度二次多项式时正交组分加权系数的构造方法以及正交组分加权系数适用范围的拓展方法；结合临界孔隙度理论，提出一个基于两个状态分界点的组分模型实例；比较组分模型的计算结果与前人关于砂岩弹性模量的实验结果，证明了组分孔隙介质模型理论的合理性。

Thirdly, the standered SIMPLE algorithm of Patankar forsolving tWo-dAnensional elliPtic kind equations in orthogonal coo-rdinates is developed, A gerneral comPuter program for solvingequations goveming the laxninar flows and tubulent flows usingcolocated grids in orthogonal coordinates is built.

在S.V Patanker求解二维定常椭圆型方程的SIMPLE程序的基础上，加进同位网格的内容，编制了层流、紊流计算程序，用1）平行平板层流；(2）后台阶层流：（3）正方形方腔层流自然对流三种典型流动状态检验了层流同位网格SIMPLE计算程序，结果显示与一般规律及理论解吻合甚好。

Through S-wave polarization scanning mode of ultrasonic impulse testing, rock samples with three different properties are measured to evaluate the variation of S-wave velocity in three perpendicular coordinates. By analyzing S-wave splitting of three directions and polarization of the maximum or minimum speed S-wave amplitudes, we think that the velocity orthotropy and fracture orientation observed in the grain sandstones and crack marble samples can be estimated in terms of the polarization and velocity of S-wave. Also, perpendicularity characteristics on the two types of rocks can attribute to the bedding and structure of rocks (directional grains or crystallize).

在实验室通过选择了三种不同岩性的岩石，采用超声脉冲测试方法中的横波偏振扫描方式，观测了岩石样品三个坐标方向上的横波速度变化，通过分析三个传播方向上出现横波分裂的差异，以及出现最大或最小快慢横波振幅的偏振方向发现，可从横波偏振方向和速度值判断出纹理砂岩和裂隙大理岩样品存在不同程度的速度正交各向异性和裂隙方向等特征，认为这两种岩石的正交特性的原因是岩石的层理或裂隙与岩石本身的结构构成的。

The outline as stored in a font file is called the "master" outline, as its points coordinates are expressed in font units. Before it can be converted into a bitmap, it must be scaled to a given size/resolution.

存储在一个字体文件中的轮廓叫"主"轮廓，它的点坐标用字体单元表示，在它被转换成一个位图时，它必须缩放至指定大小。

Under the Cartesian coordinates, with the applicationof least-square method for an overdetermined system of linear equations, the machinesettings can be calculated, which minimize deviations of a gear's real tooth surface from thetheoretical surface.

在笛卡儿坐标系下，利用线性超越方程组的最小二乘法，求出机床加工调整参数的修正值，使实际齿面与理想齿面误差达到最小。

The corners of each new polygon are at the intersections of the borders of the original polygons; hence computing the coordinates of border intersections is a vital function in polygon overlay.

每个新的多边形的角隅都位在原始的多边形的边之交叉点上；因此，计算这些交叉点的座标在多边形的叠合中是绝对必要的。

The corners of each new polygons are at the intersections of the borders of the original polygons; hence computing the coordinates of border intersections is a vital function in polygon overlay.

新几何图形的角落是在原始几何图形的疆界的交叉点；因此计算疆界交叉点座标是一个重要作用在几何图形叠盖。

Tom: You are right, he worked hard all the time.

你是对的。他一直都是努力工作。

Take shortcomings,failures,and mockings of others as commonplace and a drive to complete oneself,hold your own opinion over the evalution and disscution divested from others,afterwards sink into the state of eliminate mistakes if any or encourge oneself being not being influenced by the sayinngs of others or having no ideas to do.

把缺点、失败及别人的耻笑等看成是一种常事，当成完善自己的动力，对别人的评价和议论自己心中有主见，做到&有则改之，无则加勉&，不为人言所左右或无所适从。