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In calculation of definite integral,beginners tend to use three methods of calculation:(1)Leibniz formula,(2)integration by substitution of definite integral,(3)integration by parts of definite integral.

在定积分计算中初学者常用的计算方法有三种：(1)利用牛顿-莱布尼兹公式，(2)定积分的换元积分法，(3)定积分的分部积分法。

The calculation of degree-day is usually based on the definiation of basic temperature and average temperature in the day. The basic temperature is often calculated according to energy supply, physiological demand of human body, the level of economic development and the character of temperature changes. There are mainly four methods for the calculation of average day temperature. The most popular way is to get the average of the highest temperature and the lowest one.

度日计算的前提是基础温度和日平均温度的确定，其中基础温度往往是根据能源供应、人体生理需求、经济水平以及温度变化特点而人为规定的，也有一些学者尝试用数学方法求得；日平均温度的计算方法主要有4种，国外学者经常采用的是取日最高气温和最低气温算术平均值的方法。

With the use of absorption chiller performance model, an approximate calculation method was derived for the absorption chiller unit with a quantitative analysis of the effect of operating parameters on the absorption chiller performance. The formula is simple, physically clear and accurate enough. Its correctness was verified by calculation examples and model predictions were compared against performance data from experiments with favorable results.

给出单效吸收式制冷机局部定量分析近似计算方法，解决了工程上吸收式制冷机局部定量分析计算时的简化计算问题，提出的近似计算方法在精度和计算量方面均具有一定的优势，既解决了吸收式制冷机变工况计算问题，又满足实际机组经济性诊断的需要，实例计算证明了理论模型和诊断方法的准确、简捷性。

In this article, with pointing out that the result of the current calculation model is deficient in the similarity, it has deduced the numerical regulation of the variation of the elements including q ,γ andτ in the steam-water distribution matrix equation when the terminal temperature difference exits in the heater via the power balance equation, and combining with the power equation and boiler absorbed heat equation, the precise calculation model for the impact of heater terminal temperature difference on heat economy of unit is then derived.

指出现有计算模型结果具有近似性的不足，本文通过加热器能量平衡方程推导出加热器有端差时汽水分布方程中q 、γ和τ元素数值的变化规律，然后结合功率方程和吸热量方程得到加热器端差对机组热经济性影响的精确计算模型。

By transforming the equation in phase coordinates to the equation in symmetrical components coordinates, dividing circulator nodes and non circulator nodes, and optimizing the diagonal matrices calculation, the method is developed and found to have higher calculation efficiency.

利用统一的变换公式，只需改变变换矩阵，就可以处理各种简单故障和复杂故障。同时给出了对应于常见故障的变换矩阵，并与断线故障处理方法配合，可以完成任意故障的处理。

On moving base, a new initial alignment algorithm for strapdown inertial navigation system is proposed. In the algorithm, two special inertial frames, the initial-time inertial frame (i0 frame) and the initial-time SINS body inertial frame (ib0 frame), are defined and are selected as calculation reference frames, then, the calculation of initial alignment direction cosine matrix is expanded into three parts:(1) the DCM between i0 frame and the navigation frame will be easily obtained via local geographical coordinates and initial alignment time;(2) attitude updating using gyro samples gets the DCM between SINS frame and ib0 frame;(3) by explaining SINS specific force equation in SINS body frame, the relation between velocity log, accelerometer measurement and gravity acceleration is established to achieve the constant DCM from ib0 frame to i0 frame.

在运载体运动情况下，提出了一种适用于捷联惯导系初始对准的新算法，该算法以惯性空间为参考基准，即建立了初始时刻惯性坐标系（i0系）和初始时刻捷联惯组惯性坐标系（ib0系）两个惯性坐标系，将初始对准姿态矩阵的实现分解为三部分：（1）通过地理位置和初始对准时间求解i0系至导航坐标系的变换矩阵；（2）使用姿态更新算法实时计算捷联惯组相对于ib0系的变换矩阵；（3）通过惯导比力方程变形，获得测速仪辅助测量、加速度计输出和重力加速度之间的关系，从中可以求解出从ib0系至i0系的常值变换矩阵。

Fourth precision solution can be derived from two grid sets solution with a second precision central difference scheme by Richardson extrapolation. It reduces the amount of calculation. Uncertainty is determined from the discretization error analysis. A finer grid calculation is made to validate the extrapolation scheme.

对于2阶精度中心差分格式的2套网格数值解，用Richardson外推法可以得到4阶精度的解，其工作量比直接求解4阶离散方程的工作量减少许多；对于计算中的数值不确定度，用该方法分析了离散误差，并用逐次加密网格的方法探讨了外推法的合理性。

This article deduced out the human capital socialization exponent, the material capital socialization exponent, the management pattern socialization exponent, business culture socialization exponent and calculation formula of socialization integration exponent, and did discriminatory analysis. So it provided the base for socialization calculation.

推导出人力资本社会化指数、物质资本社会化指数、管理模式社会化指数和家族企业社会化综合指数测算公式，并进行实证检测，从而为家族企业的社会化水平定量测定提供依据。

When blanket is designed, some necessary data, including tritium breeding ratio, irradiation damage ratio, intensity of activation radiation, magnet and thickness of shield, can be get through neutronics calculation. All of that must base on heat load and neutron power flux of first wall and divertor plate. So, the preparative calculation is prformed for that.

在设计包层时，需要进行中子学计算得到氚增殖率、辐射损伤率、活化放射性强度、磁体及其屏蔽厚度的计算、核加热产生率和冷却系统设计和安排的必要数据，而这一切都必须先知道第一壁和偏滤器靶板的中子壁负荷和热负荷；为此作了必要的先行准备计算工作。

An algorithm for hydrodynamic calculation of a simple or a parallel natural circulation in a heat-water boiler and for calculation of the temperature at the inlet of a downcomer is introduced briefly in this paper.

本文简要介绍了自然循环热水锅炉简单循环网路、并联回路的水动力计算方法和下降管入口水温的计算。

Now she was hungry and angry.She began to smoulder.

现在她又饿又气，她开始流露难以抑制的怒火。

You have placed our iniquities before You, Our secret sins in the light of Your presence.

诗90：8 你将我们的罪孽摆在你面前、将我们的隐恶摆在你面光之中。