查询词典 rectangular formula

We proposed and proved three theorems through which the theoretical formula of cosine transform spectrum of gravity anomalies of the point mass and the vertical rectangular-cylinder was deduced in order to obtain the general equation of gravity anomalies.

为获得重力异常余弦变换谱的通式，提出并证明了3个定理；利用它们推导了点质量和直立矩形柱体的重力异常余弦变换谱理论公式，同时给出了重力异常余弦变换谱通式。

We transformed eccentric coaxial line cross-section into rectangular area by hyperbolic cotangent transformation, transformed the FDTD difference expressions into CM-FDTD difference formula, calculated the cutoff wavenumbers of higher order TE and TM modes in eccentric coaxial line.

本文用双曲余切变换将偏心同轴线截面变换为矩形区域，相应地将FDTD差分格式变换为保角变换FDTD差分格式，计算了偏心同轴线TE、TM高阶模的截止波长。

Using the directional derivative formula, the governing equation is discreted in the physical domain in which a nonorthogonal grid system is used. Two kinds of AF2 schemes, i. e. AF2-plane relaxation and full implicit AF2, for the TSD equation are proposed. Numerical results show that the full implicit AF2 scheme converges faster than AF2plane relaxation scheme. For the rectangular wing and swept wing, the results of the present method are compared with FP results, and the agreement is good.

采用适合于梯形机翼和后掠机翼的斜网格，利用方向导数公式直接在物理空间对主管方程进行离散；将近似因式分解方法应用于绕机翼的跨音速小扰动势流问题，提出AF2—面松弛和AF2全隐式两种迭代格式，并对它们的收敛速度进行比较，结果表明后者明显快于前者；直机翼和后掠机翼的算例表明，本文方法的结果与精确势流方法的结果吻合良好。

Base on the fact that a hard-edge aperture function can be expanded into a finite sum of complex Gaussian functions, the approximate analytical expressions for the propagation characters of Hermite-Guassian beams passing through double rectangular apertured are derived. The approximate analysis uses Collins formula. At last, Matlab illustrates some numerical examples.

基于硬边孔函数能拓展成一组有限复高斯函数的和，研究厄米－高斯光束通过双矩孔的传输特性，用Collins公式分析，用Matlab进行一些数值模拟。

In this paper ,the precise-ly formula of magnetic induction of t he coil of rectangular carrying current by an point in space is obtained,and analyze the distributive properties by magnet field of the rectangle and the square.

本文精确导出了矩形载流线圈在空间任一点的磁感强度公式，并对长方形、正方形磁场分布的特点进行了一些分析。

Firstly,to abtain the parameters of coupling system,such as the focal length and the position of the lens,computing the Gaussian lens formula,then establishing the rectangular coordinate system and constructing equation and tracing the marginal ray to compute the parameter of the radius of the image beam waist.

首先使用高斯光束的透镜变换公式计算透镜的焦距及放置位置等耦合系统的参数，然后建立直角坐标系并利用耦合系统的参数构建方程，对边缘光线追迹，计算出像方束腰半径值。

Combining with the National Natural Science Foundation ofChina(No.50478032), following researches were done in this thesis: 1 The variation regularity of the ultimate anti-bending capacity of therectangular-sectioned beam with different corrosion has been obtained through thequalitative analysis of 48 beams (32 corroded beams and 12 comparing beams) withaccelerated corrosion; 2 The conclusion has been obtained that the strain of corroded steel bar andconcrete no longer fit in with the assumption of plane section through the analysis ofthe strain data, the strain relation of steel bar and concrete in the mid-span section ofvariously corroded beams at ultimate has been obtained. Through the building of newgeometric relation, the expression of the height of compressive area in the corrodedbeam with rectangular section has been deduced, and the formula with corrosion rateas the main variable for the anti-bending capacity of the corroded concrete beam hasbeen suggested and verified by experiment.; 3 The influence of steel bar corrosion and the concrete regression to the flexureductility coefficient of the corroded structure component has been analyzed. Based onthe relation of steel bar and concrete at yield and ultimate, the expression for theflexure at yield and ultimate of corroded reinforced concrete beam, and the model forthe calculation of the flexure ductility has been built.

本文结合国家自然科学基金项目(50478032)"既有钢筋混凝土桥梁时变可靠度研究"，主要进行了以下研究工作： 1通过对48根快速锈蚀钢筋混凝土矩形截面梁(32根锈蚀梁和12根对比试验梁)数据的定性分析，得到了不同锈蚀率下，锈蚀钢筋混凝土矩形截面梁极限抗弯承载力的变化规律； 2通过对应变数据的分析，论证了锈蚀构件钢筋和混凝土的应变不再符合平截面假定的结论，并通过回归分析得出了不同锈蚀率的螺纹钢筋梁和光圆钢筋梁在极限弯矩作用下，跨中截面处钢筋应变和钢筋处混凝土应变的关系，通过构造新的几何关系，得出了锈蚀钢筋混凝土矩形截面梁计算受压区高度的表达式，既而得出了以锈蚀率为主要变量的锈蚀钢筋混凝土矩形截面梁的正截面抗弯计算建议公式，并通过试验数据加以验证； 3分析了钢筋锈蚀和混凝土劣化对锈蚀构件曲率延性系数的影响，结合钢筋屈服和极限弯矩两种状态下钢筋和混凝土的应变关系，分别得到了锈蚀钢筋混凝土矩形截面梁屈服曲率和极限曲率的计算表达式；既而推导出曲率延性系数的计算模型。

It shows that the primary term is identical with the formula for area of plane triangle by rectangular coordinate in three angular points,while the expression of remainder terms also has a rule to follow in form.

公式表明，主项的表示式与按平面坐标求面积的计算式完全一致，而附加项的表示式亦有规律可循。

The formula for transforming the measured coordinates into rectangular coordinates and generating a correct 3D image is given.

测量得到的目标三维坐标并不是在直角坐标系下得到的，给出了坐标转换的公式。

The formula to transform the measured coordinates into rectangular coordinates and generate a correct 3D image is given in this chapter. Finally, the simulation results are given.Chapter 8 is the summary of the dissertation.

测量得到的目标三维坐标并不是在直角坐标系下得到的，文中给出了正确重构目标三维图像所需要坐标转换的公式。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。