Is there some curve that can not be parametrized with respect to arc-length? I know that if the curve is a non stop curve or restrictedly increasing then there is a one to one correspondence between the time's parameter $t$ and arc-length function's parameter $s$ then I can replace $t$ with $s$ . If my understanding was correct then by loosing this one to one correspondence between $s$ and $t$ I can not parametrize with respect to arc-length. Is there an example of such curve?
2026-03-28 03:30:44.1774668644
Is there a curve that can not be parametrized with respect to arc-length?
103 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in MULTIVARIABLE-CALCULUS
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