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。

Werthimer and his colleagues have used machine learning to come up with a ranking of stars to be observed in an ongoing SETI project that uses the world's largest single-dish telescope, the 500-metre FAST radio telescope in China.

魏茨莫和他的同事们已经通机学习，为一个正在进行的 SETI 项目提供了一个恒星观测的排名，该项目使用的是世界上最大的单碟望远镜，即位于中国的500米口径球面射电望远镜。

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.

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。

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，它涉及到通不同的方法来除以 0，但今天我们且不谈这个。

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望远镜中国五百米口径球面射电望远镜（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。

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。

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米口径球面望远镜(FAST)进行的脉冲星计时观测。

That's also of great value scientifically.

这个外球面区域的科学研究意义很大。

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

球面反射不能完美地聚焦所有入射光线。

It's a pseudosphere, for the curvature of the Earth.

这是一个伪球面，用于模拟地球的曲率。

And the way to think about that is just the surface of a sphere.

可以这样想，那就是一个球面。

So the Borsuk-Ulam theorem guarantees that some antipodal pair of points on the sphere land on each other in the plane, which means there must be some necklace division using two cuts that gives a fair division between thieves.

所以博苏克-乌拉姆定理保证了球面上的一对对跖点在平面上会重合，这意味着必须存在某种使用两处切割的项链分割方式， 能让小偷之间公平分配。

Hubble Space Telescope Program Manager Douglas Broome delivered the troubling news: “The conclusion we’ve come to is that a significant spherical aberration appears to be present in the optics, in the optical telescope system optics, ” he said.

哈勃太空望远镜项目经理道格拉斯·布鲁姆 (Douglas Broome) 发布了这个令人不安的消息：“我们得出的结论是，光学望远镜系统的光学元件中似乎存在明显的球面像差， ” 他说。

The ARRI SM B1, for example, has the ability to rotate a filter so that gradients or diopters can be angled, and it can swap sunshades for spherical versus anamorphic lenses for additional adaptability.

例如，ARRI SM B1遮光盒能够旋转滤镜， 以便调整渐变或屈光度的角度，并且它可以更换遮光板以适应球面镜头和变形镜头， 从而提供更多的灵活性。

One is the edge of the observable universe and the other is this sphere of inaccessibility where no signal we send today will ever be able to reach beyond it.

一个是可观测宇宙的边缘，另一个是不可达球面，即我们今天发出的任何信号都无法超越的区域。

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，电场在穿每个微小面积dA时具有相同的大小，我们正在通同心球面上找到这些微小面积的通量。

So you can think about the sphere as a line with a circle attached with each point, the circle shrinks to a point, at end points of the interval.

所以你可以把球面想象成一条线上每个点都附有一个圆，而在区间的端点处， 这个圆会缩成一个点。

Ambition can mean running before you walk take fast the 500 meter apertures spherical telescope which opened in 2016 built in a natural basin in Gwajo province.

野心可能意味着未学走就跑，比如 FAST，即500米口径球面射电望远镜，于2016年在贵州省的一个天然洼地建成。

The positions of stars and other celestial bodies can be defined by their places on this sphere, if they were imagined to be attached to it.

星星和其他天体的方位可通它们在这个球面上的位置来定义，假设它们被想象为附着于其上。

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

所以你可以开始看到波浪从这里的长河岸传来，你可以看到它们正在形成球面波。