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，给你科普一下加州理工夏天的代数拓扑会议才是书呆子舞会，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.

除了我排队的不是摇滚乐，我的演唱会是黑洞拓扑学的讲座。

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

拓扑学最初是作为纯抽象数学的一个分支来研究的。

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

首先， 拓扑学是数学的一个分支，侧重于对象的基本属性。

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“拓扑”的城市设计数学方法来改造贫民窟。

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有助于描述亚原子粒子的行为。

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拓扑学的分支，拓扑学关注的是物体可如何被排列与操纵。

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·霍尔丹都用拓扑学为一种新物质——拓扑绝缘体开辟了道路。

This powerful result is a cornerstone of topology, a branch of mathematics concerned with the fundamental properties of space, significantly impacting fields ranging from data science to physics.

这一强有力的结果是拓扑学的基石，拓扑学是与空间基本属性有关的数学分支，对从数据科学到物理学等领域产生了重大影响。