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by niknoble
1681 days ago
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> The 2 dimensions of a complex number do not correspond to translations, but to scalings and rotations of the geometric plane. I disagree. When multiplying complex numbers, they are viewed as scalings with rotation like you say. But when adding them, they are viewed as translations. If you only took one of these perspectives, then complex numbers would be very simple and not express anything interesting. Their complexity and power comes from alternating between the scaling with rotation perspective (multiplication) and the translation perspective (addition). |
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