Hackere^(iπ) in 3.14 minutes, using dynamics | DE5
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在复平面上，乘以 i 会把位置向量旋转九十度。如果运动的速度总是这个旋转后的向量，从 1 出发得到的是绕单位圆的运动，而不是沿半径增长。
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the velocity at that time will be a 90 degree rotation of that position.If e to the t describes your position on a number line as a function of time, then you start at the number 1, and what this equation is saying is your velocity, the derivative of position, is always equal to that position.