查询词典 approximate formula

A general formula for computing the OTF of a defocused optical system is derived from the Kirchoff diffraction integration under an approximate condition which is weaker than the Fresnel condition.

本文从基尔霍夫衍射积分公式出发，在弱于菲涅耳条件的近似下，以高斯像面的像差量及系统的离焦量为参变量，导出了便于计算离焦光学系统的OTF的普遍算式。

Firstly part of quadratic term of Taylor series is chosen; a low-dimension surface is used to approximate limit state surface ; and the modified reliability formula is derived.

首次选取泰勒级数的部分二次项，用一个距原点最近点处拟合的超低维曲面近似极限状态面。

Finishing calculation of mean value, standard deviation, skewness, kurtosis of Beta distribution.(2) Fitting parameters of many kinds of typical distribution and using residual deviation to evaluate fitting precision.(3) Using Beta distribution as an agreed indication distribution applied to many kinds of practical photoelectric measurement distributions.(4) Deriving theory formula of Bayes point estimation about Beta distribution parameters and mean value and standard deviation on the condition of mean square error loss function and supposed the prior distribution is uniform distribution.(5) Generating MCMC sample from post distribution by the method of Gibbs sample algorithm. Calculating bayes point estimation from sample on the condition of mean square error loss function. Calculating confidence interval by an approximate method to complete interval estimation.

本文的主要工作有：(1)解决了Beta分布参数a和b的精确计算以及均值、标准差、偏度、峰度的计算问题；(2)拟合出10余种典型分布的Beta分布的两个参数，并且采用剩余标准差评价该Beta分布的拟合精度；(3)对多种典型的光学与光电测量系统的测量分布进行了Beta分布统示表示；(4)在假设先验分布为均匀分布前提下，得到参数a和b以及均值μ和标准差σ在均方误差损失函数下的贝叶斯点估计理论计算公式；(5)利用直接抽样的Gibbs抽样算法，从后验分布中产生MCMC样本，从样本直接计算均方误差损失函数下的贝叶斯点估计，并使用一种近似方法计算其置信区间，完成区间估计。

When calculating the pressure loss of laminar flow for Casson fluid in drilling tools, there is a need for a nonlinear equation. It used to be calculate by approximate formula.

在计算卡森流体在钻具中的层流压降时，需要求解一个非线性方程，以往通常使用近似公式进行计算。

The approximate linear model of the three-string pendulum and its computational formula for the moment of inertia are discussed.

对三线摆的线性近似模型和转动惯量计算公式的由来作了简要说明。

Via the stochastic averaging method, the four-dimensional system is reduced to a two-dimensional one. Through the logarithmic polar transformation , and then Girsanov theorem and Feynmann-Kac formula, the backword differential operator is then obtained. By expanding the eigenfunctions as a Fourier cosine series, the approximate analytic expansion of the moment Lyapunov exponent is then obtained.

首先在经典二元机翼颤振方程加入随机激励，通过随机平均法，Girsanov定理和Feynmann-Kac公式得到关于矩Lyapunov指数的特征值问题，其次采用Fourier余弦级数对特征函数进行正交展开得到系统矩Lyapunov指数的近似解析式。

In Chapter 2, we mainly study the exact inversion and approximate inversion of the exponential Radon transform, and obtain the Sobolev analytic results; for convenience of practical calculation, we establish the another form of reconstruction formula through harmonic decomposition.

第二章我们主要讨论平面上的指数型Radon变换的精确反演和近似反演，得到了它们的有关Sobolev分析结果；为了实际计算的方便，我们用调和分解法作了进一步讨论，得到了重构公式的另一种表达形式。

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。

Through the polynomial approximation to function, resulting in more than a Peano-type and Lagrange remainder of the Taylor formula, using elementary functions Maclaurin expansions to address the limits and the approximate evaluation of the problem.

通过多项式来逼近函数，从而得到带有佩亚诺型余项和拉格朗日余项的泰勒公式，利用初等函数的麦克劳林展开式来解决极限及近似求值的问题。

An approximate calculation formula for solving the largest deflection of flection staff by using the modulus transform of elliptic integral of first kind

性质：在弯曲试验过程中，试样跨度中心的顶面或底面偏离原始位置的距离。说明：补充资料仅用于学习参考，请勿用于其它任何用途。

He's a pretty westernised kind of guy.

他是一个非常西化的人。

National spirit is the moral kingpin for a nation to realize common ideal and goal.

一、中华民族精神的基本内涵党的十六大报告指出：在五千多年的发展中，中华民族形成了以爱国主义为核心的团结统一、爱好和平、勤劳勇敢、自强不息的伟大民族精神。