The movement may seem linear, but we're actually accelerating exponentially into the distance.

运动可能看起来是线性的，但我们正在以指数方式加速到远处。

And that motion is mathematically identical to the motion of something bouncing up and down on a spring with a linear restoring force - also sine waves over time.

这种运动在数学和物体在簧以线性恢复力（随时间变化的正弦波）下跳的运动是样的。

A very strong case can be made that caffeine contributed to the Enlightenment and the Age of Reason and the Industrial Revolution, all of which required us to think in much more focused, linear terms.

有强有力的证据表明，咖啡因在启蒙运动和理性年代以及工业革命，这些需要人们以更清晰 线性的角度思考的时期作出了巨大贡献。