牛顿公式

The continuity of integrand on closed interval is the important condition for the validity of Newton-Leibniz formula .

被积函数在闭区间上连续是牛顿-莱布尼兹公式成立的重要条件，通过削弱该条件使牛顿-莱布尼兹公式的应用范围得到了推广，并举例说明。

The introduction of displacement operator, derivation operator, integral operator and the operator, such as differential calculus operator and the definition of the form of computing, will be applied to similar derivation formula gives Newton a Kete Si formula and Bernstein theorem Law said the operator, and form is derived; linear differential equations is the operator solution.

有没有高手可以帮我翻译下这段话啊？？？引入位移算子、求导算子、积分算子和差分算子等微积分算子的定义及其形式运算，将其应用于近似求导公式；给出牛顿一柯特斯公式和伯恩斯坦定理的算子法表示，并进行形式推导；给出线性常微分方程的算子解法。

The formula used is the standard Newtonian formula for frictionless movement in a gravity field.

这个公式使用的是重力场中无摩擦运动的标准牛顿公式。

It Newton iteration is used in the analysis of math value,and the simplicity formula is given to resolve(including original initial value formula and advanced approximation formula),which can be characterized by fast speed and easy remembering.

采用数值分析中的牛顿迭代法求反渐开线函数的根，并给出了符合精度要求的解算反渐开线函数的简单公式(包括原始初值公式和近似值精化公式)，具有迭代收敛速度快、简单易记的优点，它们适用于[0，π/2]的全区段，免除了分段计算的烦恼，并运用VB编写计算机程序，从而实现反渐开线函数快速求根的目的。

With the help of Newton formula and Vieta theorem, iterative method was used to solve problems of power sum.

借助牛顿公式和韦达定理，采用迭代的方法求解类似于自然数等幂和的问题。

With used Newton s image formula of spherical refraction and the optical spacing term, the formula about cardinal point and image of the thick lens is derived with simpler and more natural way.

利用折射球面成象的牛顿公式及光学间隔概念，更加简洁地得出了有关厚透镜成象的基点及物象公式。

First by testing the practical multilayer insulation in a cryogenic tanker, which is the carilometer in my paper,some affecting factors on multilayer insulation are analysed, then by using the low-temperature and vacuum environment caused by multilayer insulation, the effective thermal conductivity of multiple fiber paper with 5 layers is tested.Through Newton interativemethod,an empirical formula is deduced to computer the thermal conductivity of fiber paper,The errors between experimental thermal conductivity and the calculated conductivity by empirical formula are below10%,so the formula of fiber conductivity can be applied to practical enginnering.

为探索改善工程应用中高真空多层绝热层绝热性能的方法，本文实验研究中首先测量了包扎在实际低温储罐上不同结构的高真空多层绝热层的绝热性能，并分析了环境温度、环境压力，层数、不同隔热材料的组合等因素对工程应用中的高真空多层材料绝热性能的影响；然后利用多层绝热层中的低温真空环境测量5层干法纸在不同温度区间内的表观导热系数，在有限实验数据的基础上用牛顿迭代数值拟和出计算5层干法纸表观导热系数的经验公式，对比经验公式计算值和实验测量值，发现二者的误差在10%以内，因此在工程应用中可用本文的经验公式计算干法纸在低温下的导热系数。

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。

The kinematic equations of the flow of Newtonian fluid in annulus with the inner cylinder executing a planetary motion were transformed using undetermined coefficient method, and the calculation formula of pressure gradient of the flow was obtained with the given flow rate.

利用待定系数法对牛顿流体在内管做行星运动的环空中流动的运动方程进行了变换，得到了给定流量条件下牛顿流体在内管做行星运动的环空中流动的压力梯度计算公式。

A multi-distance measurements method is employed in this paper. A single parameter fitting method and a double parameters (reduced scattering coefficient and amplitude factor) fitting method on the basis of the least square Newton fitting algorithm is used to derive the optical parameters respectively. For the finite-thickness homogenous tissue, it can be concluded that the rest terms in expressions of diffusion reflectance and transmittance for the corresponding tissue geometries that subtract the exponential term contained source-detector distance depend on the detected position weakly.

在多程测量的基础上，使用单参数最小二乘牛顿法拟合方法和双参数（约化散射系数、幅度因子）最小二乘牛顿法拟合方法，得到有限厚均匀组织的反射率分布和透射率分布公式中除去包含测量位置的指数项的其它部分对测量位置皆具有弱依赖性的结论，并对拟合结果进行了分析讨论；而对于有限厚平板状双层组织，可根据对反射测量结果及透射测量结果进行拟合所得的约化散射系数间的差异及常数因子的正负判断双层组织的可能结构分布。

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。