Only galaxies with a spherical bulge—like component appear to accommodate supermassive black holes.

只有拥有球形膨胀物质的星系才可能容纳超大质量的黑洞。

Leaves that have tons of tiny hairs, like a fern, can hold spherical water droplets in focus above a leaf's surface.

拥有大量微小绒毛的叶子，如蕨类植物，可以将球形水滴聚集在叶子表面。

Think of a three-dimensional spherical black hole that's copied and stacked out in one direction to create an oblong shape.

设想一个三维的球状黑洞，把它复制和堆放在一个方向上，就会构成一个长方形的形状。

It is amazing that this ultra-modern TV tower combines ancient concepts such as the spherical pearls, with technology, commerce, recreation, educational and conference facilities of the 21st century.

令人惊叹的是，这座超现代的电视塔将古老的概念，如球形的珍珠，与21世纪的技术、商业、娱乐、教育和会议设施相结合。

Nuclei with closed-shell have spherical symmetries.

闭壳核具有球对称性。

Ball nut, a fixed spherical nut driven by the jackscrew for flap and stabilizer movement.

球形螺母，由顶头螺钉驱动的固定球形螺母，用于翻板和稳定器运动。

The motion of spherical pendulum in z-direction is described by nonlinear oscillation equation.

用非线性振动方程描述了球摆在 z 方向上的运动。

Now, there's also spherical coordinates.

现在，考虑球坐标。

And yet, we know that the shape of the s orbital is spherical.

并且，我们知道S轨道是球状的。

So now we're going to triple integrals in spherical coordinates.

现在，在球坐标中进行三重积分。

There we want to think a tiny bit about spherical coordinates again.

我们需要再次考虑球坐标。

OK, let's see, who had seen spherical coordinates before just to see?

我看看，谁曾经学过球坐标么？

Think about the difference between a flat paper map and a spherical globe.

试想下平面地图和球形地球之间的区别。

But let's do it in spherical coordinates because that's the topic of today.

但我们用球坐标来做，因为这才是今天的主题。

So, in fact, it simplifies quite a bit if you do it in spherical coordinates.

事实上用球坐标，简化了式子。

Wood... but the spherical sound box is fashioned out of a whole coconut shell.

木头……不过球形的音盒是整个椰子壳做的。

Well, we have to figure out how to set up our triple integral in spherical coordinates.

先看看怎么，在球坐标中建立三重积分。

That means they contain spherical nodules a few millimetres across, known as chondrules.

这意味着它们含有直径数毫米的球形岩球（或叫做陨石球粒，chondrule）。

The refinery fire sent a plume of thick black smoke from blazing spherical storage tanks.

从燃烧的炼油厂球形储藏罐中冒出一股黑色的浓烟。

That will give you a good idea of what kinds of things we've seen in spherical coordinates.

这将会给你一些，关于我们已经在球坐标中学过的东西的好的想法。

I leap, I spin, I navigate the circumference of each spherical planet, toying with gravity.

我跳起来，旋转，绕着每个星球的圆周行进，玩笑般的对付着地心引力。

And, now we have to learn about spherical coordinates, which you will see are a lot of fun.

今天我们来学习下球坐标，这是个很有意思的东西。

The spherical model is better-suited when distances are further apart and more accuracy is needed.

当两点之间的距离相隔很远和要求更高的准确度时，需要使用球面模型。

We have rectangular coordinates, we have cylindrical coordinates and we have spherical coordinates.

我们有直角坐标系，有柱坐标系和球坐标系。

Only galaxies with a spherical bulge-like component appear to accommodate supermassive black holes.

只有拥有球形膨胀组件的星系才可能容纳质量超大的黑洞。

The splot command is Cartesian by default but can also support spherical and cylindrical coordinates.

splot 命令默认使用的是笛卡儿坐标系，不过也可以支持球面或柱面坐标系。

The spherical design features a handle that allows the tub to be easily wheeled to a water source.

圆形加手柄设计方便将其滚至水源点。

But, that spherical thing with a little slit going twisting into it will actually have boundary my loop.

这个有裂痕的球面，确实有一个边界是该回路。

Since the volume of the spherical universe is much bigger than its outer surface, how could this be true?

由于球状宇宙的容量远远大于其表面积，这一切怎么可能呢？

However, it wasn't until 1963 that mathematician Roy Kerr found the solution for a rotating spherical mass.

尽管如此，直到1963年，数学家罗伊·科尔才发现了旋转的球形体的相应方案。