1.And it's what's called a topological invariant.

也是一种不变量。

2.And for your information, the summer conference on algebraic topology at Caltech is nerd prom.

还有，给你科普一下加州理工夏天的代数会议才是书呆子舞会，代数是使用抽象代数的工具来研空间的数学分支。空间是一种数学结构，可以在上头形式化地定义出如收敛，连通，连续等概念。

3.The new algorithm generalizes really well for tasks with different lengths, topologies, and changing objectives.

新算法对具有不同长度、结构和变化目标的任务具有很好的推性。

4.Except, instead of rock and roll music, my concert was a lecture on black hole topology.

除了我排队的不是摇滚乐，我的演唱会是黑洞学的讲座。

5.A topological insulator acts like both at the same time, which we used to think was impossible!

一个绝缘体就像两个同时起作用，而这在过去被我们认为是不可能的。

6.All right, let's begin. Show of hands, who here is familiar with the concept of topological insulators?

好吧 开始上课 请举手告诉我 在座的哪位对绝缘体的概念比较熟悉？

7.Now you don't have to worry about what a topological qubit is.

现在您不必担心什么是量子位。机翻

8.The topological properties of subatomic particles could also transform quantum computing.

亚原子粒子的特性也可以改变量子计算。机翻

9.But in some exotic topological phases, the subatomic particles can become protected.

但在一些奇异的相中，亚原子粒子可以受到保护。机翻

10.Turns out, quantum vortices also involved in an entirely new topological phase transition discovered by these two physicists!

事实证明，这两位物理学家发现的一个全新的相变中也涉及到了量子涡旋！

11.What's really weird--One really weird finding about these lobes is that they include topological maps.

真正奇怪的是——关于这些波瓣的一个非常奇怪的发现是它们包含图。机翻

12.Nowadays, scientists are working to develop topological insulators, and some think they could be as important for future technologies as semiconductors are today.

当前，科学家们正在致力于研发绝缘体。其中有些人认为绝缘体对于未来的技术就像今天的半导体一样重要。

13.We're taking a very different approach to our qubit, which is based on this topological qubit.

我们对我们的量子比特采取了一种非常不同的方法， 它基于这个量子比特。机翻

14.Topology was originally studied as a branch of purely abstract mathematics.

学最初是作为纯抽象数学的一个分支来研的。机翻

15.Now, scientists are trying to transform slums with a mathematical approach to urban design called " topology" .

现在，科学家们正试图通过一种称为“”的城市设计数学方法来改造贫民窟。机翻

16.These topological qubits would be more stable, leading to more accurate computation and a better quantum computer.

这些量子位会更稳定，从而导致更准确的计算和更好的量子计算机。机翻

17.Topological properties don't change when an object is gradually stretched or bent.

当对象逐渐拉伸或弯曲时，属性不会改变。机翻

18.Thouless and the final winner, Duncan Haldane, are both also using topology to pave the way for a new kind of material: topological insulators.

索利斯及最后一位的获奖者邓肯·霍尔丹都用学为一种新物质——绝缘体开辟了道路。

19.First of all, topology is a branch of mathematics that focuses on fundamental properties of objects.

首先， 学是数学的一个分支，侧重于对象的基本属性。机翻

20.This involved lots of weird quantum phenomena, plus a branch of math called topology, which looks at how objects can be arranged and manipulated.

这包括许多奇特的量子现象与数学中一个称为学的分支，学关注的是物体可如何被排列与操纵。