Talk about exponential progress in science and research, absolutely amazing.

这些指数性增长科研展真是令人震惊。

Looks like we were on an exponential and it dropped off the cliff.

看起来我们经历了一个指数增长然后跳水。

Judging by the exponential speed of technological improvements, probably not.

从步指数速度来看，应该还没有。

Major pitfalls has been the exponential rise in dementia, cognitive impairment and Alzheimer's.

主要不足是痴呆症认知障碍和阿尔茨海默氏症指数上升了。

This is the nature of an exponential function. So smiles and laughters are contagious.

这是指数函数本质 笑和笑是传染。

Over the last three years, we've seen an exponential increase in maritime smuggling.

在过去三年，海上偷渡呈指数增长。

Population growth was exponential but how much food we grow was not.

人口增长呈指数增长，但我们种植食物数量却不是。

The exponential curve on solar is even steeper and more dramatic.

太阳线甚至更陡，更令人瞩目。

We have seen a revolutionary breakthrough in the emergence of these exponential curves.

我们从这些指数线变化中看到了革命性突破。

So let's see now how exponential technologies are taking health care.

现在让我们看看指数怎样行健康保健。

And you can see here that there's an exponential Great Divergence.

大家可以看到大分流走势。

Or you can even talk about the opposite, which is exponential decay.

或者你也可以讨论其反面，即指数衰减。

We see an exponential curve for wind installations now.

我们现在看到是风力发电装置线。

And then after that, you know, you're in very tough shape because of that exponential growth.

在那之后，因为感染人数指数增长，政府很难采取有效措施。

When something is growing or it's increasing really, really quickly, we describe this growth as exponential.

当某件事物在增长，或者是增长得非常非常快时候，我们就会以‘越来越快’来描述。

We've seen an exponential increase in greenhouse gases in the atmosphere over the past twenty years.

在过去二十年中，我们见证了大气中温室气体越来越快增长。

And so and so create an exponential function which explains for an example.

形成了一个指数函数 可以用你们熟习。

It's a chart of exponential growth, and it shows that some things change faster over time.

它是一个指数增长图，，它表明有些事情随着时间推移变化得越来越快。

What I'd like to talk about today is understanding these exponential technologies.

我今天想谈是理解这些指数增长。

Well, an exponential curve is a curve that doubles every certain amount of time, Vespignani says.

维斯皮纳尼表示，指数线是在特定时间增倍线图。