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曲线坐标

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As applications of Riemannian surface and algebraic curve theory in integrable system, Abel-Jacobi coordinates are introduced suitably by the Lax matrix, from which straightening out of the flows are given.

作为Riemann面和代数曲线理论在可积系统中的应用,利用Lax矩阵合适地引入Abel-Jacobi坐标,使得对应的流拉直。

Asapplications of Riemannian surface and algebraic curve theory in integrablesystem,Abel-Jacobi coordinates are introduced suitably by the Lax matrix,from which straightening out of the flows are given.

作为Riemann面和代数曲线理论在可积系统中的应用,利用Lax矩阵合适地引入Abel-Jacobi坐标,使得对应的流拉直。

By using solidworks software,The models of AOD converter shell and molten steel for obtaining the areal coordinates are created to make refined calculation about the tilting moment s of the new or old converters.

运用solidworks软件建立AOD炉及钢液的三维实体模型,以获取其重心坐标,并对新炉、旧炉倾动力矩进行了精确的计算,依据倾动力矩变化曲线提出了防止炉体自动倾翻的耳轴中心安全高度的合理位置。

In order to determine the fractal dimension of the interface, structures with different rotation radii are set in the transition region. By using above regulation, the number of surface molecules of each rotation structure with certain radius can be obtained, then correlate these molecule numbers with the corresponding radii, in a logarithmic coordinate system the asymptotic slope of the correlated curve is the fractal dimension of the liquid-vapor interface.

为了确定界面的分形维数,在气液过渡区中作出不同回转半径的结构,利用(2~5)/1.2r〓规则找出其中所包含的气液界面上的分子数,然后将这些分子数与回转半径关联,在双对数坐标中此关联曲线的渐近斜率便是气液界面的分形维数。

With regard to the central part, the actual state of coordinate axis is analyzed first, then the theory ofthe projection method is introduced. On the basis, the method of identifying coordinate origin ispresented.

在本文的核心部分——曲线识别中,文章首先从分析曲线图中坐标轴的分布情况出发,引出投影法,在此基础上提出了利用投影法识别坐标原点的理论。

boundary line of transaction curve ; parametric equation of coordination ; length of boundary line

本文导出了缓和曲线边线的坐标参数方程及边线长度

Based on the involute's basic principles and theoretical formulas, input the involute's formulas of cartesian coordinates into the equation editor, accordingly create the precise involute of gear's contour. Based on the formula of helical gear's parameters, accurately create a curve of tooth profile. Create the chraceristics of helical gear by ordering of swept blend and array.

依据渐开线生成的基本原理和理论公式,在方程编辑器中输入渐开线的笛卡尔坐标方程,从而生成精确的齿轮轮廓渐开线;根据角变位斜齿轮各参数的计算公式,精确创建了齿廓曲线;利用扫描混合和阵列命令创建斜齿轮的轮齿特征。

Coordinate Geometry (15%). Questions in this content are based on graphing and the relations between equations and graphs, including points, lines, polynomials, circles, and other curves; graphing inequalities; slope; parallel and perpendicular lines; distance; midpoints; and conics.

坐标几何( 15 %)。这方面的考试内容是基于方程和图表之间的关系,包括点,线,多项式,圆形和其它的曲线图;不相等图形;斜率;平行和垂直线;距离;中点;以及二次曲线。

First,the convex hull points of the characteristic region such as eyes,mouth etc. are confirmed,and,the integral contour points are obtained by fitting the curve.Then,the coordinate of the contour and the corresponding points of the adapted facial model are transformed to a new coordinate.At last,the model is adjusted in the new coordinate to get a good adaptation between the human facial model and human face image by revising the corresponding detail data in the model.

首先,对检测出的眼睛、嘴巴等特征区域,确定出其外凸包点集,通过曲线拟合得出其完整外轮廓,然后对此轮廓点以及已经粗调的对应模型点进行坐标转换,在转换后的坐标系中,对模型中相应的细节数据进行修改,实现模型和人脸图像的配准。

The thesis presents the system parameter configuration,the dynamic curve and the coordinate orientation of metal position.

文中给出了调试后的系统参数配置,绘制的动态曲线以及金属位置的坐标定位图。

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