The continuous extension of f(x) f (x) at x = c x = c makes the function continuous at that point. Can you elaborate some more? I wasn't able to find very much on "continuous extension" …

Following is the formula to calculate continuous compounding A = P e^(RT) Continuous Compound Interest Formula where, P = principal amount (initial investment) r = annual interest …

May 10, 2019 · and, because this is not right-continuous, this is not a valid CDF function for any random variable. Of course, the CDF of the always-zero random variable 0 0 is the right …

Oct 15, 2016 · A continuous function is a function where the limit exists everywhere, and the function at those points is defined to be the same as the limit. I was looking at the image of a …

Jun 19, 2017 · 2 Homeomorphism means a continuous bijection whose inverse is continuos too. Now use the fact that f is continuous iff for every open set U U of Y , f−1(U) f 1 (U) is open in X. …

May 21, 2012 · 72 I found this comment in my lecture notes, and it struck me because up until now I simply assumed that continuous functions map closed sets to closed sets. What are some …

Sep 10, 2018 · Closure and continuous map Ask Question Asked 6 years, 10 months ago Modified 6 years, 10 months ago

Jan 8, 2017 · @Konstantin : The continuous spectrum requires that you have an inverse that is unbounded. If X X is a complete space, then the inverse cannot be defined on the full space. It …

Nov 14, 2012 · Closure of continuous image of closure Ask Question Asked 12 years, 8 months ago Modified 12 years, 8 months ago

Aug 1, 2017 · 1 This question already has answers here: prove x ↦x2 x ↦ x 2 is continuous (2 answers)