@neonsprocket@Math_files Very true, however the rather misguided post seems to be expecting us to limit the set of possible values to the set of positive integers.
Another way to think about your example is of course to consider a square with a side of 1 unit and another with a side of root2 units.
@keeetzo Not really, this doesn’t really hold outside complex analysis
This is the value you get via the Riemann zeta function at s = 1.
Alternatively at s = 2 you’d get pi^2/6
Looking at the sum of natural numbers via standard arithmetic is still a divergent series
@JoeECusick@Anthony_Bonato Not necessarily
Even at the high school level I’ve solved problems wherein the acceleration function of an object is performing simple harmonic motion
ä = some restoring quantity directly proportional to the displacement
That itself is the 4th order derivative
@alz_zyd_ Of course, the joy of doing things is only as long as they are abstract and the average Joe struggles with them
A similar thing happened with programming and hackathons, that led to a complete shift in my interests at least
@PhysInHistory For this to be possible the speed of that singular electron would be many times greater than c of course
Sending the Lorentz factor to infinity and from there we all know what happens
@RadishHarmers Very true
Also the amount of AI generated math content
I’m fairly certain I saw a math exam labelled as both Stanford entrance test and Harvard entrance test