曲线坐标

In this paper, the current states of research about the basic theory of harmonic oscillator and hydrogen atom in quantum mechanics are firstly reviewed. On base of it, and the relationships between harmonic oscillator and hydrogen atom in quantum mechanics are studied. By use of the relationships between the hermite polynomial and the laguerre polynomial, the eigenequations of one-dimensional harmonic oscillator and hydrogen atom are conversed into the same equations in form. Therefore the relationships between energy levels and wave functions of one-dimensional harmonic oscillator and hydrogen atom are found. Through the coordinates transform, the relationships between energy levels and wave functions of two-dimensional harmonic oscillator and hydrogen atom are found.

首先综述了谐振子与氢原子的基本理论的研究现状，并在此基础上对谐振子与氢原子的关系展开了研究，通过厄密特方程与拉盖尔方程的相互转化，将一维谐振子与一维氢原子的本征值方程转化为相同形式的方程，从而比较得出它们能量及波函数间的关系，并通过坐标变换将直角坐标系下二维氢原子的本征值方程转化成与曲线坐标系下二维谐振子的本征值方程相同的形式，从而得出二维氢原子与二维谐振子的能量及波函数的关系。

Finally,extension algorithms for NURBS curves are discussed by means of homogeneous coordinates.

最后，利用齐次坐标讨论了NURBS曲线的延伸算法。

By means of homogeneous coordinates, a type of important subdivision—Rational Matrix Subdivision are proposed in chapter 2. Many good geometric properties of the curves with Rational Matrix Subdivision such as convex and variation diminishing properties are proved.

第二章以齐次坐标为工具，提出了一类重要的细分法——有理矩阵细分方法，并证明了其生成曲线的优良性质，例如凸包性、变差缩减性等（参见第二章§2.3节）。

Rational fraction, rational base function and homogeneous coordinate.

NURBS曲线方程具有三种等价形式：有理分式表示、有理基函数表示和齐次坐标表示。

An open-source rendering support for multi-curve graph control source code, you can scale vertical and horizontal coordinates.

详细说明：一款开源支持多曲线绘制图表的控件源代码，可以纵横坐标刻度。

An open source multi-Curve chart control source code, can scale vertical and horizontal coordinates.

详细说明：一款开源支持多曲线绘制图表的控件源代码，可以纵横坐标刻度。

With the help of .NET platform, C# Language is used in secondary development of AutoCAD. That is to realize automatic skeletonizing of highway horizontal alignment giving the coordinates of beginning point and ending point as well as crossing point′s basic information. The research fruit can be applied in the software of plane curve.

在。NET平台下，采用C#语言进行AutoCAD二次开发，即在给定路线起终点坐标与交点基本信息的基础上实现路线平面线形的自动绘制，此研究成果完全可以被平面曲线设计软件所利用。

Analyses of loci in the π plane and meridian line s show that the parabolic and hyperbolic type failure envelopes have no influences on the shape of the.

对改进式所作的π平面极限线和子午线分析表明，采用抛物线和双曲线形强度包络线基本上不会改变原准则在π平面上的极限线形状，但子午线由直线改为曲线，极限面在主应力空间内分别为抛物面和双曲面，其锥顶距坐标原点也比采用线性强度包络线的要小。

As to the space curve coils the arbitray right line and circles to obtain the rotational surface ∑, the body of rotational through ∑ s surround into(the part sealing off does not put the back plane disc), the integration formula about area of rotational surface and volume of the body of rotation are given by using coordinate transformation and Infinitesimal method.

利用坐标变换与微元法得到了空间曲线绕任一直线旋转所得旋转曲面∑的面积公式，以及由∑所围旋转体的体积公

If every 1 hour (or 2 to 4 pm) 1st measurement, and data for each painting in the coordinates, you can see that the "coordinates of line" is not linear but a curve fluctuations.

若每隔1小时(或2～4时)测1次，并将每次的数据画于坐标上，你就可以发现，这"坐标线"不是直线而是曲线波动的。

I am accused of being overreligious," she said in her quiet, frank manner,"but that does not prevent me thinking the children very cruel who obstinately commit such suicide.""

客人们在卡罗利娜·埃凯家里，举止就文雅一些，因为卡罗利娜的母亲治家很严厉。

Designed by French fashion house Herm è s, this elegant uniform was manufactured in our home, Hong Kong, and was the first without a hat.

由著名品牌 Herm è s 设计，这件高贵的制服是香港本土制造，是我们第一套不配帽子的制服。