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Function graphing and analyzing: 2D, 2.5D functiongraphs and animations, extrema, root, tangent, limit,derivative, integral, inverse; sequence of number: arithmetic progression, geometric progression; analytic geometry: vector, line, circle, ellipse,hyperbola and parabola; solid geometry: spatial line, prism, pyramid, cylinder, cone, dado and sphere; Ability to save graph as data file or bmp file; Ability to save animation as AVI file; Ability to move, zoom in, zoom out and rotate the scene.

函数图表和分析:2D, 2.5D 函数图表和动画,极值,根,正切,极限,导数;序列号:等差数列,等比级数;解析几何:向量,矢量,直线,圆,椭圆,双曲线和抛物线;立体几何:空间线,棱柱,三角锥,圆柱,圆锥体,梯形台和球体;保存图形为数据文件或者图像文件的功能;保存动画为 AVI 文件的功能;移动,缩小,放大和旋转场景的功能。

Based on the ellipse spreading model proposed by Lehr, the quantitative relationship was deduced in this article, which can analyze its variation characteristics.

依据Lehr 提出的油膜椭圆扩展模型构建了油膜厚度随溢油性质和海洋环境条件变化的定量关系,剖析了溢油扩展过程中油膜厚度的变化特征。

Then the influence of the different Coanda surface shapes including the circle, elliptical and logarithmic spiral TE geometries on the performance of the circulation control airfoil were investigated.

在此基础上研究了具有圆、椭圆和对数螺线形式柯恩达表面的环量控制翼型性能的变化,初步探讨了射流层附壁与高曲率表面特征参数的关联。

Mathieu function is the base of field theory analysis in elliptical cylinder coordinate system. So, firstly, detail investigation has been given about the problem of numerical analysis of Matheiu functions, based on the predecessor's contribution, an improved faster algorithm of numerical analysis and confirmation algorithm of Matheiu functions has been presented.

Mathieu函数是椭圆柱坐标系统下场论分析的基础,因此本文首先对Mathieu函数的数值计算问题进行了详细研究,并在前人基础上完善并进一步改进了目前被认为较为可行的数值算法,并提出了验证算法。

In this paper, we study the existence of sign-changing and multiple nontrivial solutions for a kind of quasilinear elliptic equations with Dirichlet boundary value by applying minimax methods and Morse theory.

本文我们将应用极大极小方法和Morse理论研究一类拟线性椭圆方程Dirichlet边值问题多解的存在性和解的变号性质。设Ω是R~N(N≥1)中的有界区域,具有光滑边界?

In Chapter 4, we consider the qusilinear elliptic systems with the homogeneous Neumann boundary condition, and obtain the existence and multiplicity of positive solutions.

在第四章中,我们讨论带有齐次Neumann边界条件的拟线性椭圆型方程组(方程和第三章的一样,边界条件不同),研究了正解的存在性和多解性。

We cosider a class of semilinear elliptic systems with the Neumann boundary value condition by using variational methods, two existences theorem are proved for under critical exponents and critical exponents.

利用变分法讨论了一类带Neumann边界条件的半线性椭圆方程正解的存在性,并得到了在下临界指标时的两个存在性定理。

This scheme is based on the elliptic curve of non singular elliptic curve over finite field, and with its security, it can be widely used in the fields as network communication, electronic commerce and IC card.

同时,该方案将自证明公钥体制推广到椭圆曲线域,同样长度的密钥具有更高的安全性。在网络通信、电子商务以及IC卡等领域具有广泛的应用前景。

The interactions of elliptic function waves are nonelastic,while the interaction of the degenerated coherent soliton structures dromions and lumps may be elastic and nonelastic as well.

此外,我们还构造了在雅克比椭圆函数波背景下的Dromion孤子,这种新的复合波形态与海洋中发生的畸形极值波极其类似。

In this paper,the existence of the nontrivial solution to a class of quasi-linear elliptic problem is investigated based on the Hardy inequality and the Mountain Pass Geometry.

使用Hardy不等式和山路几何研究了一类拟线性椭圆问题非平凡解的存在性。由于难以得到所讨论的问题的基本解,因此研究中对基本解进行了估计,并证明了c条件

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