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、拓扑结构和变化目标任务具有推广性。

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

也是一种拓扑不变量。

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

还有，给你科普一下加州工夏天代数拓扑会议才是书呆子舞会，代数拓扑是使用抽象代数工具来研究拓扑空间数学分支。拓扑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。

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

除了我排队不是滚乐，我演唱会是黑洞拓扑学讲座。

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

吧 开始上 请举手告诉我 在座哪位对拓扑绝缘体概念比较熟悉？

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

事实证明，这两位物学家发现一个全新拓扑相变中也涉及到了量子涡旋！

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

一个拓扑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。

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

真正奇怪是——关于这些波瓣一个非常奇怪发现是它们包含拓扑图。

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

亚原子粒子拓扑特性也有望革新量子计算领域。

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

但在某些奇异拓扑相态中，亚原子粒子能够得到保护。

And he called it Polytopia Life Lessons.

他称之为多元拓扑生活程。

Incredibly complex topology to try and load bounce all this stuff.

极其复杂拓扑结构，试图让所有这些东西加载反弹。

So that's the concept of retinotopy or the map in visual cortex.

这就是视网膜拓扑学或视觉皮层中地图概念。

Well it's because it depends on the microscopic surface topography underneath the bottle as it slid.

那是因为它取决于瓶子滑动时下方微观表面拓扑结构。

Topologically a human being is a torus, a three-dimensional object with a hole through the middle.

从拓扑结构上看，人类是一个环面，一个具有中间孔洞三维物体。

It's very much utilizing our network architecture and ECU topology to allow that cost structure to be here.

我们正充分利用网络架构和电子控制单元（ECU）拓扑结构，以实现这种成本结构优化。

The Topography of Terror documentation center, near Potsdamer Platz, explains how the Nazis organized their systematic campaign of persecution and murder.

位于波茨坦广场附近“恐怖拓扑” 文献中，解释了纳粹如何组织其有系统迫害和谋杀活动。

I'm not sure exactly what you might have had in mind there, maybe like topology or analysis or something.

我不确定你当时具体想到了什么，可能是拓扑学或分析学之类。

The more I talk to topologists, the more they seem to not operate at all in the visual space.

我越与拓扑学家交谈，越发现他们似乎完全不在视觉空间中操作。

You know, these concepts like topology and geometry, complicated, how do you do?

你知道，诸如拓扑学和几何学这样概念，复杂难懂，该如何解呢？