基本曲线

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。

I was a university student, I had not done a very complex programming exercise, This is the first time I upload source. this is the upload computer graphics, I do exercises at the WIN-TC environment prepared by some of the procedures, these are the basic 2D graphics transform (translation, rotation, Shear, Zooming, symmetric) animation demonstration, three-dimensional map of the two-dimensional plane of the hidden map, the lines cut, the parabolic mapping and B-spline curves mapping, detailed procedures of the Notes, and I hope to the students friends to help.

详细说明：我是一名大学的学生，我没有做过很复杂的编程练习，这也是我第一次上传源程序，这次上传的是我做计算机图形学的练习时在WIN-TC环境下所编的一些程序，其中有二维图形的基本变换（平移，旋转，错切，放缩，对称）的动画演示、三维图在二维平面上的消隐图的显示、线条的裁减、抛物线的绘制以及B样条曲线的绘制，程序中有详细的注释，希望对学生朋友们能够有所帮助。

This paper briefly introduces the homotopy theory and algorithm of tracking zero curves. At the same time, the paper gives the example of the impedance inversion in the seismic exploration. In the end, the advantages and disadvantages of the homotopy method are pointed out in this paper.

本讲座概要地介绍了同伦方法的基本原理，跟踪同伦曲线的具体算法，并给出了同伦方法在地展勘探波阻抗反演中的应用实例，最后归纳总结了同伦方法的特点及目前存在的不足。

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。

The concentration-response curves for ATP with and without preapplication of hypotonicity showed that preapplication of hypotonicity shifted the curve downward; maximal amplitude of IATP with hypotonicity decreased by 25.26±2.41%, while the threshold value remained unchanged; the EC50 value of the two curves were very close(1.19×10-4M vs 1.33×10-4M).

3在低渗透压(260mOsm)环境下，ATP-激活电流的浓度反应曲线明显下移；阈值和最大反应浓度不变，EC50为1.19×10-4M，与单独加ATP时的1.33×10-4M基本一致；而最大反应浓度时的ATP电流幅值减小了25.26±2.41%(n=6)。

Transient pulse test is an efficient nondestructive method of testing electric igniter,and its principle is introduced briefly.

简要介绍了电点火具无损检测方法的原理，针对火箭弹发动机中电点火具的特点，利用电点火具的温升曲线，采用神经网络识别技术，对电点火具的质量进行判别，无损检测判别结果与实际发火试验结果基本一致。

The maincontents of this thesis include:Firstly,by using inherent relationship between region integral and curve integral,designing the image transform operator,a novel snake model using both boundary andregion information was proposed,which more directly integrated the prior knowledgeincluding region information with the traditional deformable model,so that the abilityabout evolving contour curve was improved.

本论文将以严密的数学理论、可靠的物理原理和实际的应用背景为出发点，研究这一图像处理和分析的基本问题，并相应开展了以下几个方面的工作：首先，本论文利用区域积分与曲线积分之间转化的内在联系，通过设计相应的图像变换算子，提出了一种基于边缘与区域信息的图像可变形轮廓提取模型。

This course mainly contents real number muster and function, limit of number sequence, limit of function, continuity, derived number and differential, differential mean value theorem and its application, completeness of real number, integral, series(including positive series and Fourier series), multiple- differential, double integral, integral with parameter, curve integral, camber integral and so on.

理解和掌握《数学分析》的概念、理论和方法，对于学生加深理解数学的基本思想和方法，培养抽象思维能力和逻辑思维能力，提高数学素养具有重要的意义。主要内容包括：实数集和函数，数列极限，函数极限，连续性，导数和微分，微分中值定理及其应用，实数完备性，积分、级数(包括幂级数、Fourier级数)、多元微分学、重积分、含参变量积分、曲线积分、曲面积分等。

The results show that the experimental results are in good agreement with the values of viscosity in a part of temperature range that has been reported, with the relative error of less than 2.5%; In the process of ascent and descent temperature, the irreversible phenomenon of the curve of viscosity versus temperature V presents interzone characteristic, and the break of viscosity at critical temperature reflects jump change of melt structural information; It is one to one correspondence between viscosity and atomic size, and this relation is consistent with the Hall-Petch formula in expression way.

结果表明：实验结果与已报道的部分温度区间内的黏度值基本一致，相对误差低于2.5％；升温和降温过程中，黏度－温度关系曲线V的不可逆现象具有区间特征，临界温度时黏度的突变反映出熔体结构信息的跳跃变化；黏度与原子集团尺寸之间存在一一对应关系，该关系在表达上符合Hall-Petch公式。

The basic idea is that using the "point" function of software UTHSCSA Imagetool to acquire the pixel values of the event in the scanned chart image and then process these arc-shaped isochronal data with algorithms proposed by us to render these data.

基本方法是利用图象软件Imagetool中的"Point"功能获取小气候自记图图象上的记录曲线上点的像素值，然后通过我们给出的算法转换成相应的数据资料。

Do you know, i need you to come back

你知道吗，我需要你回来

Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书，王祥生，李德昌。安徽省首次发现嗜群血蜱。