查询词典 curvature of curve

In 1906, da Rios, a student of Leivi-Civita, wrote a masters thesis modeling the motion of a vortex in a viscous fluid by the motion of a curve propagating in R~3, in the direction of its binormal with a speed equal to its curvature.

很久以后，1971年Hasimoto证明了这个系统和非线性Schrodinger方程 q_t=iq_(ss 1/2|q|~2q是等价的。

According to the boundary curve features of the object, all kinds of boundaries sign patterns of the object are setup and used to train the second RBFNN, so as to tangent points, inflection points with low curvature and boundary types.

根据工件边缘曲线的特征，建立了各种边缘的曲率符号模型，用该模型训练第二个RBFNN，从而识别具有低曲率的切点和拐点及边缘曲线的类型。

The analysis show that O-forming is accomplished by bending of subdividing suspend arc,characterized by evolvement of curvature peaks form one to multiple peaks,which have nearly equal peak-to-peak distance.Process loading has corresponding episodic changes,and each episodic curve is similar.Loa...

载荷在成形过程产生相应的阶段性变化，各段位移载荷曲线具有相似性，并且载荷随悬弧的细分明显增加。O成形过程分为4个阶段：U形口合扰、直边弯曲、悬弧二次弯曲和悬弧多次弯曲过程。

And then, in this part, following the idea of Topping [51, 52], we will show an isoperimetric inequality (6.3.1) on surfaces of non-positive Gaussian curvature by means of the curve shortening flow on surfaces, this inequality can be considered as a generalization of the Banchoff-Pohl inequality in the Euclidean plane.

然后，仿照Topping[51]和[52]利用平均曲率流证明等周不等式的想法，我们利用曲面上的曲线缩短流在Gauss曲率非正的曲面上证明了一个等周不等式(6.3.1)，它可以看成欧氏平面上Banchoff-Pohl [8]不等式在曲面上的推广。

Emphases are put on solving the problem of repeating searching extreme points in contours of Gauss curvature drawing,and the improved Bulirsch Stoer contour curve searching method is used in extreme points searching to speed up the searching efficiency.

提出了一种针对非均匀有理 B样条自由曲面的高斯曲率等值线的光顺检测方法，重点解决绘制高斯曲率等值线时出现的极值点的重复搜索问题，并将改进的Bulirsch-Stoer等值线搜索法用于极值搜索中，提高了搜索效率。

Subsequently, using the mass-energy relation, the general expression of the solution of the energy-curvature equation on the medium shell curve method is discussed, and the general expression of Binet equation about orbit of the celestial bodies motion is given.

随后应用质能关系探讨介质层壳弯曲方法中能量方程解的一般形式，给出天体运行轨道的一般性 Binet 方程，给出了行星近日点进动、光线弯曲的解析分析。

The result shows that the "slope" factors and "curvature" factors, describing the movement of yield curve, have significant forecasting power for future risk premium of government bonds.

回归结果显示，利率期限结构的斜率因子和曲度因子对中期国债的月度风险溢价具有显著的预测能力。

Segmentation and extraction of the target feature points from the unregistered, noisy data set of human body scanning and measuring are discussed. We have fitted the noise scanned data line with KS principal curve, which is based on the K-means theory. The crossing zero of curvature was used to segment and estimate the position of target feature points. And optimization scheme named variable fuzzy partition is also presented to improve the searching for local feature area.

使用基于K-means思想的KS主曲线算法，对国家人体尺寸测量工作中产生的带噪声扫描线数据集合进行非线性拟合，并依据曲率分布特征提出对目标特征点空间位置进行模糊分区估计的方法；同时提出了变量化模糊分区的优化策略，大幅度地提高了局部特征区域搜索的效率。

The methods above are used in practical data-processing. The errors of the tangent vector, the radius of curvature and the focusing are obtained through curve fitting and ray tracing. Finally, the charts are ploted by the matlab emulation.

将以上方法用于实际数据的处理中，对一组透镜表面数据进行拟合、分析，最终得出透镜的表面形状误差、各点的切矢、曲率半径误差以及光线的聚焦误差，并用matlab仿真出曲线图。

The parameter equation, tangent, normal plane, the length of the arc, curvature, the basic equation of the spatial curve, torsion and the equation of the curve in flat surface etc.

为解决实际中各种空间共轭曲面问题，分析和评价各种传动装置的几何特性和传动性能，为探索新型的传动装置奠定基础。

He is the most remarkable man that I have ever known.

他是我知道的人中最值得注意的人。

Increased appearance of lymphocele was noticed in patients with diabetic nephropathy, congenital malformations of the urinary tract, and inflammatory diseases, including glomerulopathy and extraglomerular ones, after high-voltage radiotherapy and after removal of the renal graft.

经过高压放射疗法和切除移植肾后，在糖尿病肾病患者、泌尿系统先天性畸形患者和炎症患者身上发现淋巴囊肿有所增加，包括肾小球病和球外疾病等。