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Re:Closed form arc length parametrization is impossible for ... by red_trumpet on Thursday July 18, 2024 @10:50AM (#40996110)
Interesting topic!

However, I would like to point out that the dichotomy closed form <-> numerical methods is somewhat artificial. Even if one could express an arc length parametrization using exp and log, one would still need numerical methods to compute exp and log.

This somehow leads to the next question: What kind of functions are suitable to describe the arc length?

Re:Closed form arc length parametrization is impossible for ... by kazinator on Thursday July 18, 2024 @12:37PM (#40997341)
If the result of any computation is a number like 0.123, that's numerical methods.