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The multivariate polynomial interpolation problem is a classical mathematical problem that is widely used in many fields, such as multivariate function list, surface design and finite element method. In recent years, multivariate polynomial interpolation has been focused by many people, of which the geometric topological struction of sets of interpolation nodes is also much concerned by us.

多元多项式插值问题是一个十分具有研究意义和实际应用价值的数学问题,它广泛应用于多元函数列表,以及曲面的外形设计和有限元法等诸多领域,近年来多元多项式插值越来越受到人们的广泛关注,其中有关插值结点组的几何拓扑结构问题也是人们十分关注的内容。1998年,梁学章和吕春梅在文献[2]中借助代数几何中的有关理论,进一步讨论了沿无重复分量平面代数曲线上的Lagrange插值问题,并应用Cayley ?

His plan is to drop perpendiculars from each point of the curve upon two planes intersecting at right angles.

他的计划是:从曲线的每个点处作线段垂直于两个互相垂直的平面。

It is suitable for all irreducible real plane algebraic curves with arbitrary genus.

它适合于任意亏格的不可约的实平面代数曲线。

Asimple necessary and sufficient condition for global controllability will bepresented. The analysis method is based on some basic facts in planartopology such as the Jordan curve Theorem, and in the geometric theoryof ordinary differential equations including the Poincare-Bendixson Theo-rem.

分析方法主要是基于平面拓扑中的一些基本事实,比如Jordan曲线定理,以及常微分方程几何理论中的几个基本定理,如Poincare-Bendixson定理,指标定理等。

In Chapter 2 is concerned the Lie point symmetry group of two type WKI equations based on the motions of plane and space curves by using the Lie classical method.

通过研究平面和空间曲线的运动,得出两类WKI方程,并利用李的经典方法,得到相应的李点对称群。

This design can proceed to current big and part of flat surfaces lesson a sketch to draw accurately, it with the sketch of Microsoft Visio handles tool software is the main tool that draw the CAI lesson a sketch, make use of the its function in Visio strong and big, operation convenience, apt to the characteristics that undertakes, create to set up the multi-media CAI lesson an every kind of flow chart for needing and organizes construction diagram, even make some object real object diagram, teaching model diagram with imitate to imitate true software a curve for presenting sketch.

本设计可以对目前大部分的平面课件图形进行精确的绘制,它以Microsoft Visio图形处理工具软件为绘制CAI课件图形的主要工具,利用Visio其功能强大、操作方便、易于上手的特点,创建出多媒体CAI课件所需的各种流程图、组织结构图,甚至是一些物体实物图、教学模型图和模拟仿真软件所呈现的曲线图形。

To reconstruct the state variables precisely, the observer s pole is placed on the negative real-axis in the complex plane, and in the flat range on the curves ofobservation time vs.

为了使观测器精确重构状态变量,将观测器的极点配置在复平面负实轴上,观测器极点分布与观测时间关系曲线的平缓变化区域。

A plane joint model was built in this thesis. By using it, not only M-θ curve of joints but also open of segment joints, stretch of connected bolts and contact stress distribution on joint faces can be obtained.

为此,本文建立了平面型纵缝接头的力学模型,根据该模型除能得到衬砌二维计算所需的接头M-θ曲线外,还能分析接头面的受力状态并得到接缝的张开值、螺栓受力。

In this paper, the monotonicity-preserving interpolation of a kind of plane parameter curve with a shape control parameter is investigated.

研究了一类带有形状可调参数的平面参数曲线的保单调插值方法。

Analysing and computing its coefficient, we find out the bifurcation of curve for its parameter plane.

然后对其系数进行分析、计算,找出其系数参数平面的分支曲线。

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