So This Function Is Weird Mathematics Stack Exchange This function is not invertible, but can be split in two invertible sections, which are separated by a maximum, at $$f' (x)=\frac1 {x^2} \frac {\ln x} {x^2}=0,$$ i.e. $x=e$. I'm quite fond of the lambert w function mainly because it's a very simple function that really isn't taught in schools, and so makes people question what they mean by the terms "elementary function" or "closed form solution".
So This Function Is Weird Mathematics Stack Exchange There are many "strange" functions to choose from and the deeper you get involved with math the more you encounter. i consciously don't mention any for reasons of bias. I have to prove two statements, but this function is so weird ( and hard to work with ) i just can't figure out how to solve this. Integral of weird function ask question asked 4 years, 5 months ago modified 4 years, 5 months ago. This function has the unusual characteristic of being discontinuous at every rational point, but continuous at every irrational point (you have to use a strong epsilon delta argument to show it, but it's not that hard).
So This Function Is Weird Mathematics Stack Exchange Integral of weird function ask question asked 4 years, 5 months ago modified 4 years, 5 months ago. This function has the unusual characteristic of being discontinuous at every rational point, but continuous at every irrational point (you have to use a strong epsilon delta argument to show it, but it's not that hard). This is very unexpected because taking the square root of phi is itself a little unusual (it doesn't come up anywhere near as often as phi itself), but then you take that unusual value sqrt (phi) and apply an inverse trig function that seems completely out of left field.
Comments are closed.