In this paper, an accurate equation to the arc of contact in rolling is established and transformed into explicit function by using the root of quad-ratic equation.

at that time, the roman empire was in the west what china might have been in the east: the civilization centre.

在这个时代，罗马帝国是西方文明的中心。（东方文明的中心应该是中国吧。）

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the period of the new kingdom is best known as the time during which egypt created an empire.

新王朝期间创造了埃及帝国文明于世的黄金时期；

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In this paper, the integral formulations for the calculation of the aerodynamic noise around high speed vehicles is abstained through the solution of generalized Lighthill's equation.

通过求解广义Lighthill方程，得到了适合车辆行驶工况的气流噪声积分计算公式。

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The elastic buckling load of axially loaded compression steel pipes strengthened with FRP was presented in this paper by using energy approach.

采用能量法推导出FRP加固轴心受压钢管的弹性屈曲荷载计算公式。

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The author has established the mechanical model of O-chain iron and U-chain iron respectively, obtained the computing formula of load and stress, and contrasted with example.

本文分别建立了O形环与U形环的力学模型，推导出了载荷、应力分布的计算公式，并引用实例进行了对比分析。

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A general method has been used in this paper to study the performances of front end of optical receiver, with the model of FET and various tuning networks. General formulas have been presented, with which the resonant frequency, SNR and transfer functions can be calculated.

应用FET模型和多种调谐网络，以统一的方式研究了调谐光接收机前端的特性，提出了多种调谐网络通用的计算公式，用以计算谐振频率、信噪比、传输函数。

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IPR equation used in water cut oil wells are derived further using the same technique, and this equation can be used in the forecast of productivity of a well when water appears in the production wells as well as in the design of artificial lift technology.

利用该修正IPR方程，推导了含水油井综合IPR曲线的计算公式，可用于不同井斜角油井含水后的产能预测和举升工艺设计。

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TEAM formulas are developed by Australian Wool Testing Authority ( AWTA) and Commonwealth Scientific and Industrial Research Organisation ( CSIRO) in 1980's for prediction of wool top processing performance and quality.

TEAM公式是20世纪80年代由澳大利亚羊毛检测局（AWTA）和澳大利亚联邦科学工业研究组织（CSIRO）研制开发的用于预测毛条加工性能和质量的计算公式。

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A 5-Gauss semi-empirical formula on the pre-neutron-emission fragment mass distribution is given.

建立了一个放中子前裂变碎片质量分布5-Gauss半经验计算公式。

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This will be propitious to the design and analysis of flexure hinges.

PAROS给出的柔性铰链绕z轴的转动刚度（柔度）计算公式相比，提出了更为简洁、精确的转动刚度计算公式，使其有利于柔性铰链的设计和分析。

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The computing formulas of superimposed load on adjacent level parallel pipe induced both by bulkhead additive thrust, force of friction between shield and soil, and force of friction between follow-up pipes and soil are derived from the Mindlin solution in elastic mechanics.

利用弹性力学的Mindlin解，推导得到顶管正面附加推力、掘进机和后续管道与土体之间的摩擦力在相邻水平平行管道上引起的附加荷载计算公式。

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The input and mutual impedance formulas of a dual polarized square patch element are derived based on the cavity model and planar circuit theory by using the Green function method.

文中结合平面电路技术、腔模理论，用Green函数法导出了双边馈电方形微带天线输入阻抗与互阻抗的计算公式。

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A formula is derived for calculating mean electron energy in gas discharge that occurs in color alternating current plasma display panel ( AC PDP), according to the local field approximation.

由局域近似假设，推导出了彩色交流等离子体显示板（AC PDP）气体放电中平均电子能量的计算公式。

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Calculation formulas of detection limit in X-ray fluorescent spectrometry

X射线荧光光谱分析检出限计算公式

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Parametric analysis and design equation of ultimate capacity for unstiffened, overlapped CHS K-joints

平面K型圆钢管搭接节点有限元参数分析与极限承载力计算公式

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This paper provides a formula for chromatism calculation, which is based on CIE1976 ( Lab) symmetrical color space, and draws up a color compressing algorithm to image used in textile with system clustering method.

文章提出了一种基于CIE-1976年LAB均匀颜色空间的色差计算公式，并使用系统聚类法对纺织用图形图像进行色彩压缩的算法。

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In this paper, some FFT based spectrum correcting methods are introduced, the principle and calculation equations are presented.

文章介绍了几种基于FFT的频谱校正方法，给出其基本原理和计算公式。

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On the basis of contrast analysis of shear stress calculation formula, some simplified formulas are put forwarded which are practical with high precision and emphasis on safety.

通过对剪应力计算公式的分析，提出了便于工程实用的H型钢剪应力计算简化公式，计算精度高，且略偏于安全。

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The shortcomings of conventional processing methods are discussed. The application of the new method and the formula to be used in the calculation are described.

文章分析了常规处理方法中存在的缺点与不足，针对水轮机特性曲线，对COONS曲面法数学处理进行了分析、推导，并给出数学计算公式和应用方法。

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On the basis of the mathematical model, the equations of residence time were derived, and it was simulated by VB program.

建立了颗粒物料在转筒干燥器内运动的数学模型，推导出了滞留时间的计算公式，用VB语言编制了计算程序。

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