牛顿

But it is a hard task to solve this equation, one reason is that the TV-norm is nondifferentiable when |▽_u|= 0, so we cant apply a linearizationtechnique such as the Newton method. The other reason is that the Euler-Lagrange equation has a highly nonlinear term. The Newton method for such equation is known to have a very small domain of convergence, and it is very difficult to make sure that the initial value such as the observed image belongs to this domain. So the Newton method is not an ideal method for solving this equation.

但是求解它比较困难，主要是因为TV-范数在|▽u|=0处不可微，不能用诸如牛顿法之类的方法将其线性化；且Euler-Lagrange方程含有一个高度非线性的项，牛顿法只有局部收敛性，对于高度非线性问题它的收敛域很小，因此难以保证所取的初始点在它的收敛域内，故一般不用牛顿法直接求解。

The results showed that the pressure and pressure derivative of non-newtonian fluid is higher than newtonian one;The power index is more smaller,the pressure and pressure derivative is more higher;The effect of skin factor on transient was different from that of power index;The storativity ratio and inter-porosity flow factor is just same as the newtonian fluid,and the effect of outer-boundary on transient pressure is different from that of newtonian fluid.

结果表明，非牛顿流体的压力及压力导数都明显高于牛顿流体；幂律流指数越小则压力和压力导数越大；表皮系数和非牛顿流体幂律流指数对压力响应的影响有着明显的不同；而弹性储容比和窜流系数的影响和普通三重介质相同，只是由于非牛顿流体的影响其"凹陷"的位置升高；外边界的影响也和牛顿流体的情况明显不同。

Despite the abstract mathematical character of exposition adopted in the "Principia" Newton was not only not a learned scholastic divorced from life, but in the full sense of the word was in the centre of the physical and technical problems and interests of his time.

尽管在牛顿的《原理》中牛顿采用了这抽象的数学特征，然而牛顿不但不是一个与生活分离的学识渊博的学者，而且他还彻底认识到世界处于物理问题和技术问题的核心，也是他那个时代兴趣的核心。

Therefore, it is not every Newton indefinite integral that can carry on Riemann integral, and not every Riemann integral has Newton Indefinite integral.

牛顿所积分的函数都是连续的，可分为牛顿不定积分和牛顿定积分，而黎曼所积分的函数又是有界的。

In this paper we analyze the theory of Julia sets of Newton method for multiple roots, construct the standard, relax and multiple root's Julia sets.

作者分析了重根牛顿变换的Julia集理论，并利用迭代法构造了标准牛顿变换、松弛牛顿变换和重根牛顿变换的Julia集。

A new form of Arbitrary-Lagrangian-Eulerian formulas are developed based on the basic law of Newtonian mechanics and hypothesis of Newtonian fluid, in which the conception of domain mapping is introduced so these formulas can be used to describe the fluid flow in an arbitrary deforming domain.

从最基本的牛顿运动定律和流体粘性的牛顿假设出发，基于区域映射的概念推导了ALE(Arbitrary-Lagrangian-Eulerian)公式的一种表达方式，能够在二维任意变形区域内描述牛顿型流体的运动。

This was because the influence of non-Newtonian fluid on viscosity was getting higher.

牛顿流体与非牛顿流体在试井分析特征曲线上初期表现类似，后期表现不同，是因为后期非牛顿流体粘度影响越来越大。

It also makes analysis on the connection of Newton's prism experiments, and describes how Newton proved these propositions by taking advantage of these experiments in the article. As well the author makes analysis and generalization on the make of Newton's reflecting telescope and Newton's

首先，在对《光学》认真研读的基础上，首次对其光的颜色理论部分的大量棱镜实验之间的关系进行了分析，从而说明牛顿是如何利用这些实验证明这些命题的；其次，笔者在前人研究的基础上，对反射望远镜的制造和牛顿环理论进行分析和总结，力求描述得清楚全面；最后，鉴于国内外对牛顿光本性认识的研究存在分歧的情况，笔者对惠更斯和牛顿的相关著作进行了详细考察，对他们的光本性观点进行了系统的研究和比较，从而指出那种只因牛顿

The silica had little effect on the other properties of the modified asphalts.

基质沥青在所测试温度范围内为简单牛顿流体，而聚合物/填料复合物改性沥青为非牛顿流体，在一定的剪切速率下牛顿流体转变为非牛顿流体。

First introducing the basic principle and several classical distort of Newtons method.

首先介绍牛顿法的基本原理及几个经典的牛顿法变形，然后系统地对其局部收敛性质进行分析，最后拓展牛顿法所体现的基本思想，改进牛顿法，介绍了割线法，抛物线法，指数迭代法和导数迭代法。

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。