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的任务具有很好的推广性。

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

还有，给你科普下加州理工夏天的代数拓扑会议才是舞会，代数拓扑是使用抽象代数的工具来研究拓扑空间的数学支。拓扑空间是种数学结构，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.

除了我排队的不是滚乐，我的演唱会是黑洞拓扑学的讲座。

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的概念，复杂难懂，该如何理解呢？

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

极其复杂的拓扑结构，试图让所有这些东西加载反弹。

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

首先，拓扑学是数学的支，专注于研究物体的基础性质。

But we do it honoring the topology.

但我们这样做是为了尊重拓扑结构。

For a long time, it wasn't clear whether topology was useful for describing the behaviors of subatomic particles.

长期以来，人们并不清楚拓扑学是否适用于描述亚原粒的行为。

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种称为“拓扑学”的数学方法来改造贫民窟。

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

我们正充利用网络架构和电控制单元（ECU）拓扑结构，以实现这种成本结构的优化。

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，可能是拓扑学或析学之类的。

And you're creating a topology for some of that.

你在为其中些创建拓扑结构。

So it's like the number theory, geometry, So like differential geometry, topology.

所以就像数论、几何，就像微几何、拓扑学。

Without a topology, like you put it, like a way to leverage that, like to give developers actual money.

没有拓扑结构， 就像你说的，像种能够利用它的方式， 像给开发者实际的钱。

And there's also a lot of geometry and topology is also based upon, yeah, change.

而且还有很多几何和拓扑也是基于变化的。

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现象与数学中称为拓扑学的支，拓扑学关注的是物体可如何被排列与操纵。

Thus, the design method proposed in this study can solve the optimal problems of tree-type irrigation pipe networks with varying topologies.

因此，本研究提出的设计方法能够解决拓扑结构多变的树状灌溉管网优化问题。

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

索利斯及最后位的获奖者邓肯·霍尔丹都用拓扑学为种新物质——拓扑绝缘体开辟了道路。

You said number theory, you said geometry, words like topology.

你说的是数论，你说的是几何，还有拓扑这样的词。

Gauge theory, the kind of very advanced geometry topology that he's interested in.

规范理论，即他感兴趣的那种高度复杂的几何拓扑学。