三重积分

This article used the truncation mark law to discuss the common quadratic surface on the coordinate plane projection, based on this gave by the surface encircles three-dimensional asks the law on the coordinate plane projection one kind, this kind asked method the superiority lay in does not draw the range of integration graph also to be able to determine it on the coordinate plane projection.

本文利用截痕法讨论了常见二次曲面的在坐标面上的投影，在此基础上给出由曲面所围立体在坐标面上的投影的一种求法，这种求法的优越性在于不画出积分区域图形也能确定它在坐标面上的投影。最后以实例说明这种求投影的方法在计算三重积分中的应用。

When a solid regionin three-space is symmetric with respect to a point, the evaluation of triple integrals over is often facilitated by using spherical coordinates.

当空间立体区域关于某个点对称时，计算上的三重积分通常使用球坐标比较容易。

The use of spherical coordinates triple integral calculation IV Application Multiple Integral Weight points at geometry, physics applications.

利用球面坐标计算三重积分第四单元重积分的应用重积分在几何、物理中应用。

It is key to select the suitable coordinate system, the integral order and the limits of integration determination.

三重积分计算的基本思想是化三重积分为三次积分，其关键是选择适当的坐标系、积分次序和积分限的确定。

The triple integral computation's basic philosophy is turns the triple integral into three integrals, its key is the choice suitable coordinate system, the integral order and the limits of integration determination.

重金悬赏：下列中文翻译成英文，还有积分追加摘要：三重积分计算的基本思想是化三重积分为三次积分，其关键是选择适当的坐标系、积分次序和积分限的确定。

The integral with respect to scattering angle is separated andcan be carried out exactly without meeting the usual divergent difficulty. The five-foldBoltzmann integral is reduced to a simple three-fold integral.

通过一种变量变换的方法，成功地将玻耳兹曼碰撞项中的有关散射角积分，分离并解析地积出，将五重积分形式的玻耳兹曼碰撞项化为较简单的三重积分。

Then introduced a triple integral calculation of the basic concepts and methods of calculating the triple integral in three-dimensional volume, as well as the mechanical application of triple integral example .

随后介绍了三重积分的基本概念和计算方法，三重积分计算立体体积以及力学中三重积分的应用举例。

Then introduces the basic concept and triple integral calculation method, the three-dimensional volume and triple integral calculation of triple integral mechanics.

随后介绍了三重积分的基本概念和计算方法，三重积分计算立体体积以及力学中三重积分的应用举例。

Triple integral expression of the radiation impedance of square piston is deduced and the numerical results of the radiation impedance are calculated with the method of Gaussian numerical integral.

利用高斯数值积分方法，推导了方形活塞辐射阻抗的三重积分表达式，计算了方形活塞声源的辐射阻抗。

Quadrature including the trapezoidal method, abnormal integral triple integral,...

包括梯形求积法，反常积分，三重积分，龙贝格方法，辛卜生方法等6种方法。

The basic concept of FOP can be summarized as to further optimize effective prescription according to the standard of curative effects and with the aid of modern science and technology and theories of traditional Chinese medicine.

其基本内涵可概括为：以确有疗效的中药复方为研究对象，以现代科学技术和传统中医药理论为技术支持，以该复方所治病证的药效响应为评价标准，以优化重组疗效更优的新复方为研究目的。

Ever since our world has been a world, native forests have been indiscriminately exploited by man.

自从我们的世界一直是世界原生森林被任意剥削人。