近似公式

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。

This paper deduces the accurate formulas for calculating the geometric characteristics of effective cross sections of members with welded H-shaped cross sections in gabled frames,and in order to simplify the calculation,presents the corresponding approximate calculation formulas.

推导了门式刚架中焊接H形截面构件有效截面几何特性的精确计算公式，为简化计算过程，给出了相应的近似计算公式。

The Taylor formula holds the very important status in the differential calculus, especially in solves in some concrete problems to have the extremely important application, for instance the proof inequality, the judgment improper integral collects the divergence, asks the function the limit, asks the function the higher order derivative, determines certain complex progressions to collect the divergence, solves certain differential equation, as well as approximate calculation in and so on application, therefore this article will do the thorough research to these seven aspects.

摘 要：泰勒公式在微分学中占有非常重要地地位，尤其在处理1些具体的茄题中有10分重要的应用，比如证明不等式，判断广义积分的敛散性，求函数的极限，求函数的高阶导数，判定某些复杂级数的敛散性，求解某些微分方程，以及近似计算等中的应用，因此本文将对这七个方面做深入的研究。关键词：泰勒公式；不等式；广义积分；极限；高阶导数；复杂级数；微分方程

We establish the relation of inversion formulas among generalized Radon transform with known weight functions, the exponential Radon transform and classical Radon transform, furthermore obtain approximate inversion formula of the exponential Radon transform, the idea of approach above is applied to contour reconstruction and is generalized to n-dimentional euclidean space case. We discuss the support theorem, range condition of the exponential Radon transform.

本文建立了带权广义Radon变换、指数型Radon变换与古典Radon变换反演公式的关系，从而得到指数型Radon变换的近似反演公式，并且应用这种思想方法于轮廓重构，并将这一结果推广到任意维欧氏空间的情形；讨论了指数型Radon变换的支集定理及值域条件。

In this paper the stress analysis solution of parallel circular tunnels in elastic ground under any coefficient of lateral pressure is derived, and the stress field and displacement field of parallel circular opening subjected to continuous boundary stresses are first solved, and then the ground pressure and the internal force in lining are obtained, using the displacement compatibility equation between linin...

先求得连续洞周边界应力条件下双圆形洞室的应力场和位移场；再利用衬砌和围岩界面位移协调方程，获得平行圆形隧道的地层压力和衬砌内力公式，并可考虑开挖面的三维效应和洞室自由位移等因素。根据结论公式，对隧道间距、地层性质、衬砌厚度等诸因素进行了讨论，得到了单因素的一般规律，在此基础上，提出了平行圆形隧道最小间距的近似方法，并在某工程中予以应用，得到了满意的结果。本应力分析方法在平行圆形隧道的设计和施工中供作参考。

Algebraic formulas for calculation of modal field with given approximate value of propagation constant are also presented .

导出了用微扰法计算渐变折射率平面波导传播常数各级近似值的代数递推公式，并给出了由传播常数近似值计算模场近似表达式的代数公式。

Space charge is very important in thermionic emission, and can be calculated in child-langmuir equation. However, there is no similar equation for field emission.

空间电荷在热发射中十分重要，并且已经有了child-langmuir公式近似计算，但在场发射中还没有类似公式。

Herein,the result of comparing precise flowrale equation with approximative is

本文还比较了精确流量公式和近似流量公式的差别。

On account of the fact that the empirical formula given by Building Code for calculating the height of compression area in reinforced concrete member subjected to small eccentricity will result in less amount of steel reinforcement so as to decrease the factor of safety, thas a more accurate empirical formula is presented in this paper.

文中指出了新规范关于钢筋混凝土小偏压构件在对称配筋计算时截面受压区高度近似计算公式会引起较大的配筋误差，从而建议了合理的计算公式，同时对&中和轴位于翼缘内的工字形对称配筋小偏压构件&的配筋计算作了补充。

We used different methods to calculate luminosity in order to assure its reliability. Structure function method is adopted to derive the radiatively corrected cross section whose accuracy is up to 1%. The corrections from vacuum polarization and effect of energy spread are also studied. The final analytical approximation formulaes of the observed cross sections are worked out. Different fitting methods are carried out to fit the resonances according to different requests.

模拟的分布图的仔细对比，并兼顾实验的要求，得到每种事例对应的选择条件，特别是在处理积分亮度时，更是采用了不同的方法，以保证亮度计算的可靠性；采用结构函数的方法推导出截面的辐射修正公式，精确度达到了1％的水平，研究了真空极化给拟合公式带来的修正，并考虑了束流能散的影响，计算出最终的观测截面的解析近似式；对于三个共振态的拟合，针对不同的要求，采用了不同的拟合方法；同时在M.C。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。