矩形公式

The author of this text make the Cotes formula extend for n-dimensional space through fine nature of higher-dimensional rectangular region.

本文作者从高维矩形区域的优良性质出发，将Cotes公式推广到了n维空间上，并给出了较为简单的截断误差估计。

Compared with the linear concentration area-distance relation rational formula, the new one is more reasonable and practicable.

本文将汇流面积进行曲线概化，用以改进矩形概化存在的缺陷，使公式更合理更接近实际情况。

Based on this theory we deduce related equations of expansion force in plate and build elements of plate and magnetic field. After the analysis of magnetic field by FEM and some numerical computation we get the critical value of magnetic field when plate buckles.

在实现了用有限元对磁场进行三维分析基础之上，基于磁致应变假定，推导出相应等效载荷的计算公式，完成了恒定磁场作用下磁弹性矩形薄板的屈曲分析，求得了板屈曲时的磁场临界值。

It also researched the influence rule of feed speed, stock dimension and friction on width spread in cold ring rolling. The basic formula of width spread was obtained by numerical fitting. The open cold ring rolling experiments with rectangle section ring was conducted in D56G90 rolling machine, and the results verified above researches.

研究了环件冷辗扩过程中进给速度、毛坯尺寸及摩擦对宽展的影响，通过数值拟合的方法得到了环件宽展的基本公式，在D56G90 型冷辗环机上对矩形截面环件进行了开式冷辗扩实验，验证了宽展模拟研究结果。

The propagation of Gaussian bea ms through a paraxial ABCD optical system with hard edge aperture is studied. In the treatment the rectangular function is expanded into a sum of complex Gaussia n functions, thus the approximate analytical propagation expression can be deriv ed.

对高斯光束通过有硬边光阑近轴 ABCD光学系统的传输进行了研究，采用将矩形函数展开为复高斯函数的技巧，推导出了近似的解析传输公式。

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。