牛顿

Based on factorization method the network topology of radial power network and the topology of factor graph are analyzed and it is proved that they two topologies are the same, on this basis a Newton power flow algorithm that possesses similar program to branch-oriented forward/backward sweep algorithm is developed.

基于图上因子分解法对辐射状电网的网络拓扑和因子图的拓扑进行了分析，证明2者是相同的，在此基础上开发了与面向支路的前代、回推法具有相似程序实现形式的牛顿潮流算法。

Secondly, make amendments to the initial feasible direction in order to adapt it to all the inequations of the optimization model.

具体做法是：首先对非线性优化模型中所有等式约束条件实施拟牛顿迭代法，求得一个可行方向，然后对这个可行方向进行修正，使之满足线性和非线性的不等式约束条件，最后收敛于问题的最优解。

At the Newton Research Institute Wiles claimed that he has proved Fermat's Last Theorem.

Wiles 在英国牛顿研究所宣布他证明了费马大定理。

The convergence of the traditional nonlinear equations is related to the selected initial value, but the convergence of the fixed point method is not related to it.

传统的非线性有限元方程组的数值求解法（牛顿-拉普森迭代法与共轭梯度法）只能求解单值性有限元方程，且其收敛行为与初始值的选择有关，而不动点方法在求解非线性方程组时的收敛行为不受初始值选择的影响，在大范围内是一致收敛的。

Calculus can be used to find approximate solutions to equations, in methods such as Newton's method , fixed point iteration , and linear approximation .

积分可以用来寻找近似解方程，在方法，如牛顿法，不动点迭代和线性近似。

We analyse and compare the traditional timemarching method, the fixed point iteration method, Chan, Chan and Zhou proposed such an approach using the Newton method combined with continuation and the primal-dual method.

本文对传统的时间依赖方法，不动点迭代法，原始对偶方法，Zhou，Zhou和Chan提出的牛顿法与延拓法相结合的方法进行了比较分析。

By reviewing of the existing algorithms in CGE model, such as Scarf fixed point method, Newton-Raphson method, Tatonnement method, Johanson-Euler method, projected Lagrange method, genetic algorithm and simulated annealing algorithm, this paper expound each algorithm's principle and main problems, pointed out their respective strengths and weaknesses, and finally made a detailed comparative analysis.

本文通过对现有的求解算法进行综述，包括传统的Scarf不动点算法、牛顿迭代法、Tatonnement算法、Johanson-Euler法、投影拉格朗日算法，以及近期兴起的遗传算法和模拟退火算法，扼要说明它们的求解原理及存在的问题，指出各自的优缺点并作了详尽的比较分析与探讨，对于致力于推进CGE建模与仿真求解技术瓶颈突破的研究者们具体重要的参考意义。

At the same time, the mix fixed point method and the nonsmooth Newton method for finite element method are also presentedBased on the Gauss point method for seepage problem with free surface, the non-smooth equations model for seepage problem is proposed as well as the mix fixed point method which belongs to the fixed mesh method.

本文根据近些年来求解可动边界的经验和非光滑分析的发展，建立了求解渗流自由面的数学模型，提出了求解渗流自由面的有限元混合不动点法和非光滑牛顿法。

I asa natural extension of the classical Newton method,based on a generalizedKakutani fixed point theorem,is presented that is well-defined.

方法I是经典牛顿法的自然推广，它的适定性是基于一个广义的Kakutani不动点定理得到的。

This is a review of the progress of non-newtonian fluid mechanics and its application to chemical engineering.

本文综述了非牛顿流体力学的进展及其在化工上的应用。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。