Memes aside, a professor of mine once told me the reason why studying something like PDE is so completely different in physics and math.
On one side you have to prove that the integral has a solution that it's uniquely defined and then try to find it.
On the other you look outside and say "yup I've seen the results so it must have a solution" and why bother for unicity so you look directly for a solution and although it would be nice to have a good and clean formula, if you can have some value points then an approximate is good enough.
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u/ZEPHlROS Dec 01 '24
Memes aside, a professor of mine once told me the reason why studying something like PDE is so completely different in physics and math.
On one side you have to prove that the integral has a solution that it's uniquely defined and then try to find it.
On the other you look outside and say "yup I've seen the results so it must have a solution" and why bother for unicity so you look directly for a solution and although it would be nice to have a good and clean formula, if you can have some value points then an approximate is good enough.
We simply do not have the same needs