Science Memes

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307

Fuck geometry (lemm.ee)

submitted 1 month ago by [email protected] to c/[email protected]

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[–] [email protected] 4 points 1 month ago (5 children)

You can make something like this properly by defining a different metric. For example with metric dl^2^ = dx^2^ - dy^2^ the vector (1, 1) has length 0, so you can make a "triangle" with sides of lengths 1, -1 and 0.

[–] [email protected] 2 points 1 month ago (4 children)

That's not a metric. In any metric, distances are positive between distinct points and 0 between equal points

[–] [email protected] 0 points 1 month ago (1 children)

This is true for real-valued metrics but not complex-valued metrics.

https://en.wikipedia.org/wiki/Complex_measure

[–] [email protected] 2 points 1 month ago

Metric, not measure. Metrics are real by definition.

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