integrals

We have been working with triple integrals and seeing how to set them up in all sorts of coordinate systems.

我们目前已经学习了三重积分，以及如何在各种坐标系中建立它们。

OK, so the main thing to know about this exam is how to set up and evaluate double integrals and line integrals.

这次考试主要内容是，考察对二重积分和线积分的理解。

When you do single integrals it is usually not to find the area of some region of a plane.

当我们在做一重积分时，并不是为了去求平面某区域的面积。

OK, if that's not completely clear to you, then I encourage you to go over how we set up double integrals again.

如果你还不是完全清楚，建议你去复习一下，如何建立二重积分。

By means of properties of certain combinations of complete elliptic integrals, the authors provide a negative answer to M.

本文利用完全椭圆积分的某些组合之性质，给出了M。

From magnetic fields in PF coils of EAST expressed as elliptic integrals, the heat load of PF coils during plasma discharge is determined.

通过求解椭圆积分，计算了EAST极向场系统的磁场分布，从而计算出极向场线圈在等离子体放电过程中的热负荷。

After spending a lot of time telling you how to compute surface integrals, now I am going to try to tell you how to avoid computing them.

在我花了这么多时间来告诉你们，如何计算曲面积分之后，我打算告诉你们，如何避免计算它们。

Integrals over a real interval, integrals depending on a parameter.

在一个真正的间隔积分，根据积分的参数。

The application of the simplified Fermionic integrals reveals that the carrier concentration varies with temperature change.

利用费米积分的简化方案，揭示了载流子浓度随温度变化的规律。

OK. Let me move on a bit because we have a lot of other kinds of integrals to see.

我们继续吧，还有很多其他的积分类型要看。

It will also be capable of evaluating definite integrals and Riemann sums.

同时，它还可处理定积分和黎曼积分。

A discrete conservative remapping algorithm based upon refinement and numerical integrals, named particle remapping algorithm, is presented.

提出基于细分和数值积分思想的一种离散的守恒重映方法———质点重映方法。

Lists are used to represent vectors, matrices, tensors, sets, ranges of integrals and plots, andes groups of arguments in functions.

列表可以用来表示向量，矩阵，张量，集合，数列和图形，以及函数中的自变量集组。

OK. So, next, let me tell you about how to avoid computing like integrals.

下面，告诉你避免计算积分的办法。

Green's theorem and applications, triple integrals, line and surface integrals in space, Divergence theorem, Stokes' theorem; applications.

格林定理及其应用、三重积分、空间中的线积分和面积分、散度定理、斯托克斯定理应用。

The difficulty of the treatment of the nearly singular integrals hindered applications of Boundary Element Method(BEM).

几乎奇异积分的计算困难阻碍了边界元法的工程应用。

In particular, a conjecture on complete elliptic integrals is proved to be true and improved.

特别地，作者运用此法则，证明并改进了关于完全椭圆积分的一个猜测。

The quantum information can be taken from the classical description of physics by Feynman path integrals .

通过费曼路径积分可以从物理学的经典描述中提取量子信息。

The claim is we are able, to do double integrals in polar coordinates.

这也就说明了，可以用极坐标做二重积分。

The main theory of the approach is has ed on the error function, its repeated integrals and some recurrence relations.

此方法的主要理论是基于误差函数、它的累次积分及一些递推公式。