查询词典 gauss curvature

First, the condition for electric-field intensity calculation with Gauss theorem and selection method for Gauss section; Second, condition for magnetic field with magnetic field loop law and selection method for loop.

本文要讨论两个问题：1 运用电场高斯定律求场强的条件和高斯面选取的方法；2 运用磁场环路定律求磁场H的条件和环路选取的方法，并通过举例说明它们的具体分析办

The importance of Gauss theorem in electrostatics;the relation between electric flux and electric intensity; the notes of finding intensity of electric field by Gauss theorem ; the rules of choosing Gaussian plane and the relation between the intensity of electric field on Ganssian plane and space-charge.

高斯定理在静电学中的重要性，用高斯定理求电场强度注意的问题，取高斯面的原则及高斯面上的电场强度与空间电荷的关系。

In this paper, the propagation and focus properties for several modes describing hollow beam are analyzed, and the focus properties for hollow gaussian mode are particularly discussed. Furthermore, a new mode, high-order Bessel-Gauss mode, is put forward to describe hollow beams. The results for high order Bessel-Gauss beams propagating through lens focusing system and free space are derived by terms of Collins integral formula.

本文分析了几种描述空心光束数学模型的传输特性和聚焦特性，着重讨论了描述非中空光束的数学模型的聚焦特性；同时提出了一种描述完全中空的空心光束的新模型――高阶贝赛耳高斯模型，并且运用Collins积分公式，分析了这种新模型的空心光束的传输特性和聚焦特性。

We conclude that normalized cubic Gauss sums which modular is primes in arithmetic progressions are uniformly distributed around the circle and we get that there is no rule like quadratic Gauss sums.

并由此得出，模为算术级数中素数的正规化三次高斯和在单位圆周上是一致分布的。因此，在三次情况下不存在类似二次高斯和的判别准则。

The author successfully applies the Gauss-type integral formula to the numerical solution to the constant differential equation and creates the Gauss-type implicit Runge-Kutta Method of which the accuracy of order 4 and degree 7 is already equivalent to that of the RK method with order 10 and degree 8 that is in common use.

成功地将高斯型求积公式用于常微分方程的数值解中，得到了高斯型隐式龙格库塔方法，4级7阶 GRK 法的精度已与目前较为常用的10级8阶 RK 法的精度相当。

Meanwhile, for the characteristics of plant disease spot, segmentation model was created by utilizing the local correlated characteristic of Markov random field and linear stationary auto-regression model formed by Gauss distribution, and self-adaptive segmentation of plant disease spot was realized through optimizing the model with improved ant colony algorithm and maximum a posteriori probability estimation of Gauss-Markov random field.

同时，利用Markov随机场的局部相关特性并结合Causs分布组成线性平稳自回归模型，针对植物病斑特征建立分割模型。最后，采用改进型蚁群算法对其进行优化，并结合Gauss-Markov随机场最大后验概率估计，实现对植物病斑的自适应分割。

As using Gaussian numerical integration, this paper uses Gauss-Legendre quadrature formula instead of Gauss-Chebyshev quadrature formula in order to avoid the precision decrease due to the singularity of cut-off error at both end points.

在利用高斯型求积公式进行数值积分时，本文采用高斯—勒让德求积公式取代高斯一切比雪夫求积公式，以避免因截断误差在端点出现奇异而导致的精度下降。

And at same time, a Simultaneous image SR and registration algorithm are presented using Gauss-Newton algorithm. According to this algorithm, we consider unknown HR image and motion parameters vector as one whole and simultaneous estimation using Gauss-Newton algorithm.

同时，提出了一种基于Gauss-Newton算法的同时图像配准和超分辨率算法，该算法将未知高分辨率图像和运动参数向量看为一个整体，采用Gauss-Newton算法同时进行估计。

As Legendre integration is one of Gauss integration, it is nature to apply the others Gauss integration into stochastic FEM.

为了减少在多随机变量情况下的该方法的计算量，建立了一种简化算法，推导出利用单随机变量的响应结果构造多随机变量的响应。

The reason is that every methods ,based on second-order statistics, impose many preconditions for signals and geological models, like supposing pratical signals are Gauss ones, noise is Gauss white noise, and telluric system is linear non-minimum phase one. But practical situations are not like this.

其原因是基于二阶统计量的各种方法，对信号和地质模型作了许多假设和要求，如假设信号为高斯信号，噪声为高斯白噪声，大地系统为线性非最小相位系统，但实际情况并非如此。

"Yes, now you can give yourself airs," she said, you have got what you wanted.

"对了，您现在高兴了，"她说道，这是您所期待的。

Then the LORD said to me: Rebel Israel is inwardly more just than traitorous Judah.

上主于是对我说：＂失节的以色列比失信的犹大，更显得正义。