查询词典 gauss seidel method

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。

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。

1940S at 12,000 gauss for the low frequency voice coil and 18,000 gauss for the HF coil.

20世纪40年代在12，000低频音圈和18000的高频线圈高斯高斯。

High magnetic filter: Use KLQ unique high magnetic field E + E, complexification of magnet technology, so that has been activated small molecules of water with stronger activity, more time to maintain the water activity that was called not reducing property small molecules of water , constant magnetic field of 10,000 gauss systems, instantaneous release of 9600-10300 gauss of magnetic field lines, so that an orderly arrangement of small molecules of water take of various trace elements needed by human body,delay cell senescence, activation of T cell growth, modulation of human blood fat, improve body microcirculation, reducing blood vessel wall fat deposition, improve immunity, have a preventive of hyperlipidemia and other kinds of chronic diseases, diabetes, high blood pressure.

高磁化过滤器：使用KLQ独特的E+E高磁场，复化磁钢技术，使已经活化的小分子团水活性更强，具有磁记忆能，更长时间维持水的活性被称为不还原的小分子团水，10000高斯生物恒磁场系统，瞬间释放9600-10300高斯的磁力线，使小分子团有序排列摄取人体所需的各种微量元素，延缓细胞衰老，激活T细胞生长，调节人体血脂，改善身体微循环，减少血管壁脂肪沉积，提高免疫能力，可保健肝胃具有预防高血脂高血压糖尿病等种慢性疾病。

Supposing the spectral distribution of the chirped pulse after amplification is be Gauss or super-Gauss distribution,the inverse calculation on 100 J Nd∶glass chirped pulse amplication system is carried out.

理论上假定放大后啁啾脉冲的光谱分布为高斯分布或超高斯分布，对&百焦耳级钕玻璃啁啾脉冲放大系统&进行逆运算。

The production moved off-Broadway to New York City, where she won the Joseph E. Calloway award for her performance, and was profiled in American Theater Magazine as one of ten young theater artists to watch.

生产提出过百老汇的新的纽约市，在那里她赢得了约瑟夫calloway奖，她的表现，并于异型在美国的战区杂志之一， 10战区的青年艺术家观赏。

It's a risk tradeoff, and I believe that adding test support code usually wins.

这是一个风险的权衡，我相信添加测试代码通常会占上风。