查询词典 gauss curvature

For the application of Mathematica in the differential geometry,this paper introduces how to processe the curve curvature and the torsion questions,the graphic expression of the curvature and the torsions,and draw curves by the curvature and the torsions. Curvature ; torsion ; solution curve ; osculating plane ; natural parameter ; natural equation

利用Mathematica，只要输入有关系统命令就可以得到期望的结果。1曲率和挠率及其图形意义假设R3上的曲线一般参数表示为r=r它的曲率和挠率计算公式是：κ=‖r′×r&‖‖r′‖3τ=‖r′×r‖我们知道，空间曲线r=r在一点(s=s0)邻近的近似方程为ξ=sη=120κs2ζ=160κ0τs3通过近似方程可以确定曲线在其基本三棱形的三个平面(即密切平面，法平面，从切平面)上的投

Those questions about " Gauss theorem" of electro - magnetic field arecleared up, and the difference between " Gauss theorem" of electro - magnetic field and" Gauss theorem"of vector field is pointed.

本文旨在澄清有关电磁学中"高斯定理"的诸多疑问，并指出它与高等数学中的"高斯定理"的区别。

The first computational result on Gauss sums is given by Gauss himself around 1800 and is applied to the famous Gauss quadratic reciprocity law.

高斯和的第一个计算结果是由高斯于1800年给出，用来研究他的著名的二次互反律。

The mutual connection that analyses Bessel beam of light and Bessel-Gauss beam of light theoretically reachs distinction, beam of light of Bessel of numeric imitate ideal and Bessel-Gauss beam of light are in the radial light intensity of aleatoric plane distributings, and the influence that smooth waist radius and syntonic antrum antrum grow pair of output Bessel-Gauss beam of light.

梗概： 理论分析Bessel光束和Bessel-Gauss光束的相互联系及区别，数值模拟理想Bessel光束和Bessel-Gauss光束在任意平面的径向光强分布，以及光腰半径和谐振腔腔长对输出Bessel-Gauss光束的影响。

After this, the values of m-th Gauss sums have been determined for small m(= 3,4,···, 12) by using arithmetic properties of cyclotomic fields Q- Recently the formulas of Gauss sums are determined in "self-conjugate" and "index 2" cases in which the Gauss sums belongs to the rational number field and certain imaginary quadratic field respectively.

继高斯之后，人们用代数数论对于m较小情形计算出m次高斯和。近年来，人们对于&自共轭&情形和&指数2&情形算出高斯和。对于这两种情形，高斯和的值分别属于有理数域和虚二次域。

A frame image of a video frequency sequence is read into a postpositional memory zone, and staring position and size information of a tracked object is obtained in the frame, then distribution statistical information of a target signature is extracted to build a gauss mixed model as an object template, a mean vector and a covariance matrix in gauss mixed distribution are used to describe the position and the size of the object, then the next frame image of the video frequency sequence is read into the postpositional memory zone. In a new frame video frequency image, a parameter estimation method is used to obtain object gauss mized model parameters in the current frame in iterative computation and find candidate template similar to the object template, and the final model parameters obtained in iteration are used to update the tracking window for realizing self-adaption of the tracked window.

将视频序列的一帧图像读入缓存区，获得该帧中被跟踪目标的初始位置和尺寸信息，然后提取目标特征的分布统计信息建立高斯混合模型作为目标模板，用高斯混合分布的均值向量和协方差矩阵描述目标的位置和尺寸，再将视频序列下一帧图像读入缓存区，在新一帧视频图像中利用参数估计方法迭代计算当前帧中目标高斯混合模型参数找到与目标模板最相似的候选模板，利用迭代得到的最终模型参数更新跟踪窗口实现跟踪窗宽的自适应。

Gauss（1777—1855）; intrinsic differential geometry ; non-Euclidean geometry ; Gaussian curvature ; Gauss-Bonnet Theorem

高斯（C.F.Gauss ； 1777—1855）；内蕴微分几何学；非欧几何；高斯曲率；高斯-博内定理

Gauss （ 1777-1855 ）; intrinsic differential geometry; non-Euclidean geometry ; Gaussian curvature ;Gauss-Bonnet Theorem

高斯（C.F.Gauss，1777—1855）内蕴微分几何学非欧几何高斯曲率高斯-博内定理

Gauss(1777—1855);intrinsic differential geometry;non-Euclidean geometry;Gaussian curvature;Gauss-Bonnet Theorem

Gauss，1777-1855；内蕴微分几何学；非欧几何；高斯曲率；高斯-博内定理

On the other hand,the conformal deformations problem is to find a metric on H2(-1), conformal to g,with the given function K as its Gaussian curvature ,that is,it is important for us to study the solvability of the conformal Gauss curvature equation in geometry analysis.

e~(2u)g，它的高斯曲率函数K满足共形高斯曲率方程Δ_gu+1+Ke~(2u)=0。另一方面，对H~2(-1)上预先给定的一个函数K，共形形变问题-寻找g的共形度量=e~(2u)g使K是的高斯曲率，即共形高斯曲率方程的可解性研究是几何分析中的一个重要问题。

Salt is good, but if the salt becomes flat and tasteless, with what do you season it?

14：33 盐本是好的，盐若失了味，可用什么叫它再咸呢？

He reiterated that the PLA is an army of the people under the leadership of the Communist Party of China.

他重申，人民解放军是在中国共产党领导下的人民军队。