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How to interpret actual curvature values beyond "positive values mean left curvatures, negative values mean right curvatures, higher absolutes mean stronger curvatures"? How to actually interpret a curvature of 2? How to interpret the difference between a curvature of 2 and a curvature of 3 in a more differentiated way than saying "it's stronger"? What does a curvature of -3.2 actually mean?
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>>9170335
You're looking for something like [math]f''(x) \over \sqrt{f'(x)^2+1}[/math]
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>>9170397
No, it get's bigger the harder the corner.
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>>9170351
So what is [math]f''(x) \over \sqrt{f'(x)^2+1}[/math]
supposed to mean? Is it supposed to output a number that reflects how hard I have to corner if I way cycling along the graph? If so, how is "hardness of cornering" defined? The radius of an imaginative circle? The angle the front wheel of the bicycle needs? ...
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>>9170400
realized that and corrected it, thanks.
Does [math]f''(x) \over \sqrt{f'(x)^2+1}[/math] have any specific name? And the question remains if there is a direct way to interpret the values of [math]f''(x)[/math]
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>>9170406
idk if it has a name. Actually I just came up with it to provide a measure of relative curviture and avoiding poles.
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Found this now:
https://en.wikipedia.org/wiki/Radius_of_curvature
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