坐标函数

Antiplane responses of a scalene triangular hill or structure, an isosceles triangular hill or structure, an isosceles triangular hill with a subsurface cavity to incident SH waves are studied in this paper based on methods of wave function expanding, complex function, moving coordinates and by employing idea of assistant function.

本文在"分区"和辅助函数思想的指导下，综合利用了波函数展开、复变函数、移动坐标三种方法，研究了等腰三角形凸起地形和坝体结构、非等腰三角形凸起地形和坝体结构、浅埋圆孔附近等腰三角形凸起地形等三类问题对SH波的散射。

By solving the SturmLiouville eigen-equation in the barycentric coordinate, the generalized sine and cosine functions in the triangular domain are constructed. Properties of these functions are systematically investigated by visualization and theoretical derivation.

本文通过求解重心坐标下的Sturm-Liouville特征方程，构造出了三角区域的广义正弦函数和广义余弦函数，并通过可视化与理论推导相结合的方法系统的研究了这两组函数的性质。

By solving the Sturm-Liouville eigen-equation in the barycentric coordinate, the generalized sine and cosine functions in the triangular domain are constructed. Properties of these functions are systematically investigated by visualization and theoretical derivation.

本文通过求解重心坐标下的Sturm-Liouville特征方程，构造出了三角区域的广义正弦函数和广义余弦函数，并通过可视化与理论推导相结合的方法系统的研究了这两组函数的性质。

MiniGUI provides two functions to realize the conversion between device coordinates and logical coordinates.

MiniGUI 提供了两个函数来进行设备坐标和逻辑坐标的转换。

By use of symmetry of integral domain to coordinate surface, coordinate axis and coordinate origin, some useful formula to compute the integral are constructed, which are illustrated very useful and effective.

通过对积分区域的对称性和被积函数的奇偶性的讨论，从积分区域关于坐标平面、坐标轴和坐标原点对称出发，建立了简化各类积分计算的常见公式，并用例于展示了公式的有效性。

Nowadays both theoretical and experimental investigations have extended the concept of solitons to include the cylindrically and spherically expanding or contracting nonlinear waves displaying general soliton properties with the exception that their amplitudes are functions of the radial distance.

虽然目前，理论和实验研究已经扩展了孤子的含义，其中包括了在柱坐标和球坐标下进行展开或非线性波呈现一般意义上孤子的性质但振幅是半径的函数等。

Area coordinates and general Duffycoordinates are employed to transform the singular integrals of the Time-Domain Electric Field Integral Equation into non-singular integrals, which can be accurately and efficiently evaluated by dividing the transformed domain of integration into sub-domains.

摘要该文首先利用参数坐标和广义Duffy坐标变换将时域电场积分方程的奇异性积分转换成非奇异性积分，然后根据时间基函数的特点将该积分转换成可以快速精确计算的分区域积分。

When the vehicle vibrates, the ratio coefficients of the characteristics of components in fixed position and the corresponding characteristics of suspension are a function of generalized coordinates.

车辆振动过程中，实际安装位置的元件特性与悬挂特性的比例系数是广义坐标的函数。为了使数学模型尽量接近实际情况，本文导出了此比例系数与广义坐标的关系。

A generalized Gaussian Laplacian eigenmap algorithm based on geodesic distance is proposed,which incorporates geodesic distance and generalized Gaussian function into the original Laplacian eigenmap algorithm.GGLE algorithm can adjust the similarities between nodes of neighborhood graph,and can preserve the different degrees of local properties by using super-Gaussian function,Gaussian function or sub-Gaussian function.Moreover,GGLE can avoid the deficiency of Euclidean distance by using geodesic distance when neighborhoods of data points are enlarged for preserving more neighborhood relations.Experimental results show that the global low-dimensional coordinates obtained by GGLE have different clustering properties and different degrees of preserving local neighborhood structures when different generalized Gaussian functions are used to measuring the similarities between high-dimensional data points.(3) An ensemble-based discriminant algorithm based on GGLE is proposed.

该算法将测地线距离和广义高斯函数融合到传统的拉普拉斯特征映射算法中，可以调整近邻图结点间的相似度，通过选择超高斯、高斯或者次高斯函数来实现不同程度的近邻局部特性的保持；而且当需要保持更多的近邻关系使得数据点邻域增大时，采用测地线距离可以避免欧氏距离度量不合理的缺陷；实验结果表明在用不同的广义高斯函数度量高维数据点间的相似度时，局部近邻结构保持的程度是不同的，GGLE获得的全局低维坐标也呈现出不同的聚类特性。

From the graph, we can know that the graph of y=kx+b, is crossing the point of (0,b), and is parallel with the line of y=kx. And in the point of (0,b), o is x and b is y . In this situation, zero can be the divisor. It can be the scientific gist.

从正比例函数和一次函数的图象可知，一次函数y=kx+b在坐标平面上的函数图象是经过(0，b)且平行于正比例函数y=kx的一条直线，这其中的点(0，b)，0表示x，b表示y，在这样的情况下就成了零作除数的情景，这可说是零能作除数的科学依据。

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。