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yters
on Dec 9, 2019
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Simple Rules ‘Bootstrap’ the Laws of Physics
I think with some equations there is a discontinuity at zero, like tan, but it still makes sense to talk about what happens asymptotically approaching zero and then it matters from which side you approach zero, hence positive and negative zero.
mjcohen
on Dec 10, 2019
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tan does not have a discontinuity at zero. |x|/x does, as does 1/x. tan's is at pi/2 in particular and (n+1/2)pi in general.
duelingjello
on Dec 12, 2019
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Although tan has a set of discontinuities when it jumps between +∞ and -∞ through complex infinity (∞~).
tan(π(x + 0.5)) = ∞~, x ∃ ℤ
(π on my screen doesn't look much like greek pi.)
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