the precentages in the poll thing sum up to 81% O.O
There was an open question which i have asked many proffesors and fellow mathematicians, but none were able to answer:
Is there a function f:R->R (not necessarily continuous on ALL of R) which:
for every linear function g(x)=m*x+n, there is a number X for which g is the tangent of f in? (for each x g(x)=f(X)+f'(X)(x-X))
i think not.
(i almost solved it - using a small set theory tweak and a big topology tweak)