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ogogmadtoday at 8:19 AM2 repliesview on HN

In another comment, I asked why people chose to use the symbol τ over just writing turn or "rev(olution)" (defined to be the constant ≈ 6.28318530718) given how unambiguous the latter is as a name for 2π. And why not just write sinrev() or sinturn(), and leave the symbols sin() and rev (defined to be ≈ 6.28318530718) alone?


Replies

robertlagranttoday at 10:01 AM

I think it's Tau[0].

[0] https://en.wikipedia.org/wiki/Tau_(mathematics)

simionestoday at 9:41 AM

The naming is irrelevant here. The point is that sin(x) ~ x for small x, whereas sinrev(x) ~ rev * x for small x, which is much uglier. And similar things happen to the derivative of sinrev() vs regular sin() and so on. So switching to preferring to express angles in revs instead actually complicates most formulas, at least in some domans.