State and prove the Arzela-Ascoli theorem?

I will give a link that explains and proves the theorem.

Lusin's theorem says that every measurable function f is a continuous function on nearly all its domain. It is given that f measurable. This tells us that it is bounded on the complement of some...

This part is sometimes referred to as the First Fundamental Theorem of Calculus.Let f be a continuous real-valued function defined on a closed interval [a, b]. Let F be the function defined, for all...

sampling theorem is defined as , the sampling frequency should be greater than or equal to 2*maximum frequency, and the frequency should be bounded.. i,efs=2*fmaxwhere fs= sampling frequency

Consult any textbook on Euclidean geometry.