HackerEuler's formula with introductory group theory
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指数还可以从动作的组合来读：输入相加，对应输出相乘。把虚方向的位移对应到旋转，角度相加便与复数相乘相容；选择底数 e 固定了角速度的尺度。
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adding the inputs corresponds with multiplying the outputsFunctions between groups that preserve the arithmetic like this are really important throughout group theory, enough so that they've earned themselves a nice fancy name, homomorphisms.