查询词典 analytical curve

In order to study the popular curve shortening flow in the plane, Gage[3] has shown in 1983 the following inequality, if k is the signed curvature of a closed convex plane curve γ with length L and enclosing area A, then one gets Gage calls it an isoperimetric inequality in [3], but he does not show that the equality holds if and only if the curve γ is a circle, while as an isoperimetric-type inequality, one should prove this kind of result.

Gage称之为等周不等式，但他没有证明其中等号成立当且仅当，γ为圆周，而作为等周型的不等式是应该证明这种结果的，本文我们利用单位速率外法向量流，通过努力证明了这种结果，从而把Gage不等式加强成更加等周的形式。

By making use of multi-points backward pressure of one dry gas well, this paper introduces how to confirm dynamic friction coefficient of downhole tubing at the exact moment through stable testing material, gives the productivity and the corresponding bottom hole pressure by using productivity equation, calculates wellhead pressure in combination with dynamic friction coefficient of tubing, establishes the correct wellhead outflow performance equation for this well, draws out wellhead outflow performance curve and discusses how wellhead outflow performance equation or wellhead outflow performance curve changes with the decrease of formation pressure or the change of wellhead outflow performance curve.

借助1口干气井的多点回压法试井资料，介绍了如何利用气井稳定试井资料，确定该气井此时此刻井下油管动态摩阻系数；利用产能方程给出产量和对应的井底压力，结合油管动态摩阻系数计算井口压力，建立该井准确的井口流出动态方程并编绘井口流出动态曲线；讨论了随着地层压力递减和井下油管动态摩阻系数变化规律，井口流出动态方程或井口流出动态曲线的变化规律。

The stress-strain curve, unload curve and secondary loading curve of the honey- comb cardboard were gained and analysed.

在试验的基础上，研究蜂窝纸板的力学性能，得到了蜂窝纸板的压缩曲线及卸载曲线、二次加载曲线。

Linear error curve can be concave curve, it could be a convex curve.

线性误差曲线可以是凹形曲线，也可以是凸形曲线。

The observed pressure derivative curve shows a concave shaped curve like a dual porosity behavior, but the curve never reaches the second flat state.

观察到压力导数曲线呈凹状曲线就像一个双重介质行为，但该曲线从未到达的第二个单位。

The longitude curve and the latitude curve are the coordinate curve in the new geodetic coordinate system with length as coordinate parameter.

本论文中引入一种新型的大地坐标系，这种坐标系是以经纬线为坐标曲线，以长度量为坐标参数的新型坐标系。

This paper introduces mathematical model to calculate central line and side line geodetic coordinate of road unsymmetrical curve, which is suitable to symmetrical curve and circle curve, and discusses in details.

提供了计算道路不对称曲线中线大地坐标、边标桩大地坐标完整的数学模型。

In this paper,We define the notions of lightcone Gauss map ,lightcone pedal curve and lightcone height function of a spacelike curve in Minkowski 4-space, and established the relationships between singularities of these objects and geometric invariants of curves under the action Lorentz group ,and as an applications of standard techniques of singularity theory classified singularities of a spacelike curve in this space .

在本文中我们定义了四维Minkowski空间内类空曲线的光锥高斯映射，光锥垂足曲线，光锥高度函数的概念，建立了这些对象的奇点与在洛仑兹群作用下曲线的几何不变量之间的关系，并且运用奇点理论的标准工具对该空间中类空曲线的奇点进行分类。

The interpolation algorithm of introduced error compensation for complex parametric curve in space is proposed for the high precision interpolation of parametric curve on the basis of studying the first, second order taylor expression parametric curve interpolation algorithm and the plane parametric curves interpolation algorithm.

以一、二阶泰勒展开式参数曲线插补算法和平面参数曲线插补算法研究为基础，提出引入误差补偿值的复杂空间参数曲线高精度插补算法以实现空间曲线的高精度插补。

Chaikin algorithm is the simplest discrete curve modeling method.In thepaper planar Chaikin algorithm is generalized into sphere,and the practicability ofthe algorithm as well as the continuous differentiable property of the generatingcurve is proved.It is shown that the curve generated by Chaikin algorithm is apiecewise spherical Bezier curve of second kind of order two.Furthermore,generalspherical corner-cutting algorithms are discussed,and it is pointed out that thecurve generated through corner-cutting has"Spherical Variation DiminishingProperty".3Curve interpolation method restricted on a smooth surface based ontransformation.

Chaikin算法是最简单的离散曲线造型方法，文中将Chaikin算法推广到球面，证明了算法的可行性和生成曲线的连续可微性，指出球面Chaikin算法得到的曲线是分段的二次第二类球面Bezier曲线，并给出了用球面Chaikin算法构造球面插值曲线的算法；进一步，文中讨论了一般的球面割角算法，指出由球面割角算法得到的曲线具有"球面变差缩减性质"。3基于变换的约束在光滑曲面上的曲线插值方法。

You can do some assertiveness training.

你可以进行一些自信训练。

We were well on the path to making a rear-wheel-drive global platform," says Mays."

我们正致力于建立一个后轮驱动的平台，"Mays这样说道。"