Complex numbers multiplied by an imaginary number rotate preserving magnitude. I... | Hacker News

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		xvedejas on Feb 19, 2024 \| parent \| context \| favorite \| on: The boundary of neural network trainability is fra... Complex numbers multiplied by an imaginary number rotate preserving magnitude. In this sense they have the same units.

thfuran on Feb 19, 2024 [–]

You can rotate any vector while preserving its magnitude.

xvedejas on Feb 19, 2024 | [–]

If the units are different, you do need to come up with a conversation between them, or you're implicitly saying it's 1-to-1

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