代数曲线

Adopting the conformal mapping or rotation axis etc complex methods which areoften used to treat with the hole or cavity problem,a two-dimensional cavity ofeither simply or multiply connected region is projected into the interior of acircle or an annulus.As well as the global coordinate system is turned into thelocal coordinate system.

采用处理孔口问题最常用的映射函数和移轴等复变函数方法，把复杂的单连通区域和某些复连通区域型二维孔洞转化为简单的单位圆内区域或圆环区域，把整体坐标转为局域曲线坐标，而，最终把问题简化归结为一组无穷代数方程组的求解问题。

This course provides a basic introduction of topics such as: interpolation, solution of nonlinear equations, curve fitting to measured data, numerical linear algebra, numerical integration, numerical differentiation, etc..

本课程介绍内容包括：内插法，非线性方程式求解，曲线近似法，线性代数数值运算，数值积分，数值微分等课题。

In this paper, based on the flexible multibody dynamics model of the virtual axis hybrid polishing machine tool, the differential — algebra hybrid equations is calculated by the Newton- Raphson method. The variety of the moving displacement, the velocity and the acceleration for the moving platform, leg, slider on the 3- PTT parallel mechanism and the pose curve of the series mechanism are obtained.

论文主要完成了在已经建立的虚拟轴混联研抛机床多柔体动力学模型基础上，应用牛顿—拉斐逊（Newton-Raphson）数值计算方法求解微分—代数混合方程组，得到3-PTT并联机构动平台、支杆、滑鞍各部件的运动轨迹、速度和加速度变化规律，以及串联机构的姿态变化曲线。

By the reconstruction of the coefficients of the affined transformation of iterated function systems with probability vector, this makes the dynamic iterated question a static one, and makes it a typical one rank linear recurrence question.

基于代数算法的思想，对Hilbert曲线向三角域作了推广。

Methods A new basis, to be called H-Bézier basis, is constructed for the space Γ=span{1, t, t^2,…t(superscript n-2), sinh t , cosh t}(n≥2) by an integral approach.

在代数双曲混合函数空间Γ=span{1，t，t^2，…，t(上标 n-2)，sinh t，cosh t}(n≥2)中构造一组规范基，基于该规范基函数定义曲线。

Research on fast algorithm of point inclusion query. From the point of view of computational geometry, winding number is extended from close curve to line segment, polygon, 2-dimensional object, plane subdivision, polyhedra, 3-dimensional object and 3D subdivision.

7，研究点查询的快速算法，从计算几何的角度将环绕系数扩展到一个除闭合曲线外的线段，多边形，二维对象，平面分割，多面体，三维对象，三维空间分割等，进而构造出各种情况下的点查询代数算法。

The critical curves of linear shimmy systems are determined by optimizing the complex eigenvalues. This method can be used to analyse stability of linear shimmy systems with the arbitrary degrees of freedom and to extricate designers from the tedious algebraical derivation in the early shimmy stability analyses.

并使用&复特征值优化分析方法&确定线性摆振系统的各种临界参数曲线，这种方法可以分析任意多自由度的线性摆振系统的稳定性，免去了以往摆振稳定性分析中冗长的代数推导。

This conclusion corrects a mistaken resultIn the planar quadratic system there is not cubic algebraical saddle-nodeseparatrix-loop,in which the author asserrts that quadratic system has no the cubicalgebraical saddle-node separatrix cycle .

本文证明了平面二次系统的三次代数同宿轨线上可以存在鞍结点，并且二次系统可以存在含鞍结点的无返回映射三次曲线分界线环。

In this thesis, we mainlystudy some problems on approximate implicitization and piecewise algebraic varieties.

本文主要针对参数曲线曲面的近似隐式化和分片代数簇的某些问题展开研究。

Fisrt of all , It introduces the matheds and steps of using MATLAB to solve algebra Riccati equation ; Secondly , It is the design of autopilot schemes of three channels ; And in the end , the most important is the simulation of control system making use of software Simulink of MATLAB , and according to the curves , this thesis compares the two working estates and judge the stabliziation of control system .

文章首先介绍了利用MATLAB软件求解代数Riccati方程的方法及步骤；然后分别设计了三个通道的自动驾驶仪；最后，利用MATLAB的Simulink对所设计的控制系统进行仿真，并根据所得到的曲线，对比有无自动驾驶仪两种工作状态下的系统稳定情况。

I'm strongly against the death penalty — it's an eye for an eye.

我不赞成死刑——这是以牙还牙的报复行为。

And to get you the support you need, we're enlisting all elements of our national power: our diplomacy and development, our economic might and our moral suasion, so that you and the rest of our military do not bear the burden of our security alone.

并给你们所须的支援，我们正徵召国家所有各种的力量：我们的外交及发展，我们的经济力量与道德劝说，所以你们与其他军人不须要孤独地负起国家安全的责任。