3. Let $\Large I_{n}$ be the equidistant partition of $\Large I=[0,1]$ with $\Large n \geq 2$ Intervals. Proof:
a)$\Large I_{n}$ is finer than $\Large I_{m}$ if and only if $\Large n$ is a multiple of $\Large m$

Question

anonymous · Answer

If m=2 and n =4 then
$$
I_m=\{[0,1/2],]1/2,1]\}\
I_n=\{[0,1/4],]1/4,1/2],]1/2,3/4],]3/4 1]\}\

$$
Generalize this idea.

anonymous · Answer

ok Mr Elias,  i write is like that on my file and then send to mentor, thank you very much, i think this homework contained a little strange questions, 
thank you very much