数学模型允许我们计算温度的上升作为上升的函数，结果表明答案可能是肯定的。

Mathematical models that allow us to calculate the rise in temperature as a function of the increase indicate that the answer is probably yes.

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但积累了两个世纪的技术进步后，生产力增速达到“拐点”并正沿着指函数曲线陡峭段迅速上升。

But after two centuries of technological improvements, productivity has "turned the corner" and is now moving rapidly up the more vertical part of the exponential curve.

youdao

这个函数形式就有这样的特点，当能量上升时，概率减小。

So this will have the property, then, that as energy goes up, the probability goes down.

youdao

If you run these curves only on non-smokers you get rid of that J at the end of the curve and you get pretty much a function that's to the right of the curve here.

如果仅在不吸烟人群中做统计,那么左末端就不会出现J形曲线,而是会得到一条,从左到右逐渐上升的完美的函数曲线

耶鲁公开课 - 关于食物的心理学、生物学和政治学课程节选