All points on the surface of a sphere are equally distant from the center.

球心到球面上任何一点的距离都一样。

That's also of great value scientifically.

这个外球面区域的科学研究意义很大。

The research was based on pulsar timing observations carried out with the Five-hundred-meter Aperture Spherical Telescope (FAST).

这项研究是基于500米口径球面(FAST)进行的脉冲星计时观测。

To prove the theorem we shall suppose that the graph G is drawn on a sphere as described above.

为了证明这个定理，我们假定这个圆G能按上述方式画在一个球面上。

So, the electric flux is independent of the  radius of the concentric spherical surface?

那么，电通量与同心球面半径无关吗？

And then you have another spherical wave coming from the short bank.

然后会看到另一个来自短波岸的球面波。

Spherical reflectors don't perfectly focus all the incoming rays.

球面反射器不能完美地聚焦所有入射光线。

The integral of dA is A; the area of the concentric spherical surface.

dA的积分是A;同心球面的面积。

As an example, Borsuk-Ulam also applies to mapping hyperspheres in 4d space into 3d space.

例如，Borsuk-Ulam 还适用于将 4d 空间中的超球面映射到 3d 空间。

And you can see this when the ball back by the spread-out lines of oil on the ball surface.

当球从球面上的油线中滚回时， 可以看到这一点。

Say we have a lens that has a spherical face on both sides, known as a convex lens.

假设我们有一个具有球面的头 两侧，称为凸透。

Initially the telescope used line feeds, elongated receivers that could gather signals within the focal line of the spherical dish.

最初， 使用线馈送，细长的接收器可以收集球面盘焦线内的信号。

There actually is something called the Riemann sphere that involves dividing by zero by a different method, but that's a story for another day.

事实上，有个叫黎曼球面的东西，它涉及到通过不同的方法来除以 0，但今天我们且不谈这个。

Rather than using a parabolic shape for the dish that would focus everything to a single point, they chose a spherical curve.

他们没有使用将所有东西都集中到一个点的抛物线形状，而是选择了球面曲线。

So, as a spherical wave moves farther from its source, its intensity will decrease by the square of the distance from it.

因此，随着球面波离其源，其强度将按距其距离的平方而减小。

So you can start seeing the waves are coming from the long bank here, and you can see they're making a spherical wave.

所以可以开始看到波浪从这里的长河岸传来，可以看到它们正在形成球面波。

China's Five-hundred-meter Aperture Spherical Radio Telescope (FAST), the world's largest single-dish radio telescope, opened to global scientists and began accepting observation applications from astronomers starting from March 31.

世界上最大的单盘射电中国五百米口径球面射电（FAST）向全球科学家开放，并从 3 月 31 日开始接受天文学家的观测申请。

So what we see as a unit sphere in our 3d space represents the only unaltered part of the hypersphere of quaternions getting projected down on to us.

因此，我们在 3d 空间中看到的单位球体代表了投射到我们身上的四元数超球面中唯一未改变的部分。

Actually, the electric field has the  same magnitude as it passes through every infinitesimally small area, dA, on the  concentric, spherical surface through which we are finding the flux.

实际上，当电场穿过我们正在寻找通量的同心球面上的每个无穷小区域 dA 时，它具有相同的幅度。

Engraved upon the smooth golden surface, where seconds before there had been nothing, were five words written in the thin, slanted handwriting that Harry recognized as Dumbledore's: I open at the close.

刚才还什么都没有的平滑金色球面上，出现了五个瘦瘦的凸起的斜体字，哈利一眼就认出来那是邓不利多的笔迹：我打开了最后的。