平面曲线

Next, what have double input and variable of 2 dimension appearance in the light of a kind is nonlinear system, used opposite curvature concept and curve to design controller of contract of appearance of 2 dimension plane by basic theorem, the curve of contrail of appearance be accusinged that controller of contract of this kind of appearance can assure a system and referenced contrail curve have identical figure.

梗概： 针对一般控制系统，利用微分几何中的曲线理论提出了外形变量、被控外形轨迹曲线和外形合同控制等概念。然后，针对一类具有双输入及二维外形变量的非线性系统，利用相对曲率概念和曲线论基本定理设计了二维平面外形合同控制器，这种外形合同控制器能够保证系统的被控外形轨迹曲线和参考轨迹曲线具有完全相同的外形。

For this purposewe need to develop some new methods and new techniques.For example we studythe properties of the"centroid curve"and the"auxiliary curve",and identify twoplanes in which these two curves are defined respectively;we also use the relationshipbetween the"centroid curve"and its"dual curve".

为此需要发展一些新技巧和新方法，例如研究由Abel积分之比定义的"质心曲线"和"辅助曲线"的几何性质，并把这两条在不同平面上定义的曲线放在同一个坐标系中考虑，或把"质心曲线"与其"对偶曲线"联系起来考虑。

A constant in an equation that varies in other equations of the same general form, especially such a constant in the equation of a curve or surface that can be varied to represent a family of curves or surfaces.

参数，参量在相同一般类型的等式中取值变化的等式中的常数或常量，尤其是曲线方程和平面方程中能代表一类曲线或平面的常量

The general form or a quantity indicative of the general form of a statistical frequency curve near the mean of the distribution.

平面立方曲线平面的立方曲线，具有一个拱形、一个交点和逐渐接近同一条线的两个端点

From commonly used equation of calculating plane figure quadrature, formulas of calculating plane figure quadrature by applying curve parametric equation can be deduced.

从由曲线普通方程求平面图形面积的公式出发推出在各种情形下由曲线参数方程求平面图形面积的公式。

The Brenner potential based MD simulations are performed to study the compression and detaching between the 47°, 69° and 93° carbon nano-cones and one rigid plane , and the configuration, energy and external-loading evolvement during the compression and detaching are obtained.

采用Brenner势的分子动力学方法，模拟了47°、69°及93°锥度碳纳米锥与刚体平面压缩、分离的全过程；获得了三种碳纳米锥与刚体平面作用过程中的构形演变、能量-变形曲线以及力-变形曲线；根据模拟结果，分析了它们承载能力以及变形能力的差异。

In the first part, we will first deal with the strong Bonnesen-style inequality (2.1.3) for closed convex curves in the plane (the numbers of formulae and references are those of them in the context below). Bonnesen had first proved the weaker inequality (2.1.2) in [12] and several years later, he outlined in his monograph [13] various Bonnesen-style inequalities including (2.1.3), he considered, however,(2.1.3) as a direct consequence of Kritikos theorem for convex bodies in higher dimensional Euclidean spaces,. Here, we will give an independent proof of the existence for inequality (2.1.3), and by the way, give an estimate on the width of the bi-enclosing annulus of closed convex curves in the plane.

具体地讲，在第一部分中，首先讨论平面上闭凸曲线的强Bonnesen型不等式(2.1.3)(公式的编号和参考文献的编号引自后面的正文)，Bonnesen在文[12]中先证明了较弱的不等式(2.1.2)，几年以后，在他的著作[13]中，讨论了多种Bonnesen型不等式，其中包括不等式(2.1.3)，不过，他把(2.1.3)作为高维欧氏空间中凸体的Kritikos定理的直接推论，我们这里对不等式(2.1.3)给出独立的存在性证明，并且还对平面闭凸曲线的bi-enclosing环的宽度给出了一个估计。

In the first part, we will first deal with the strong Bonnesen-style inequality (2.1.3) for closed convex curves in the plane (the numbers of formulae and references are those of them in the context below). Bonnesen had first proved the weaker inequality (2.1.2) in [12] and several years later, he outlined in his monograph [13] various Bonnesen-style inequalities including (2.1.3), he considered, however,(2.1.3) as a direct consequence of Kritikos\' theorem for convex bodies in higher dimensional Euclidean spaces,.

具体地讲，在第一部分中，首先讨论平面上闭凸曲线的强Bonnesen型不等式(2.1.3)(公式的编号和参考文献的编号引自后面的正文)，Bonnesen在文[12]中先证明了较弱的不等式(2.1.2)，几年以后，在他的著作[13]中，讨论了多种Bonnesen型不等式，其中包括不等式(2.1.3)，不过，他把(2.1.3)作为高维欧氏空间中凸体的Kritikos定理的直接推论，我们这里对不等式(2.1.3)给出独立的存在性证明，并且还对平面闭凸曲线的bi-enclosing环的宽度给出了一个估计。

The paper expounds the method of computer aided design for a conicograph acoording to the principle of the centrode for planar mechanism and the method of drawing the fixed centrode for planar mechanism with a "sliders dyad".

根据平面机构瞬心线的原理和利用加&双滑块二级组&绘制平面机构定瞬心线的方法，论述了一种圆锥曲线仪的计算机辅助设计方法，文中编制了程序设计框图，并通过实例绘制了圆锥曲线。

In this paper, the analytical solutions of reservoir pressure in Laplace space are developed for planar linear flow and radial flow under the condition of constant pressure at inner and outer boundaries, and the pressure distribution curves in some point in the reservoir are obtained using Stehfest numerical inversion algorithm of Laplace transforms.

本文在内、外边界定压的条件下得到了平面单向流和平面径向流两种渗流形式在拉氏空间的解析解，利用Ste hfest数值反演方法给出了地层各点的压力分布曲线，由这些曲线可以清楚地看到流体的流动由不稳态流向稳态流过渡以及最后达到稳态流的过程。

Neither the killing of Mr Zarqawi nor any breakthrough on the political front will stop the insurgency and the fratricidal murders in their tracks.

在对危险的南部地区访问时，他斥责什叶派民兵领导人对中央集权的挑衅行为。

In fact,I've got him on the satellite mobile right now.

实际上 我们已接通卫星可视电话了