May 10, 2019 · This fact is useful to resolve this natural question: Let $\{X_i\}_{i=1}^{\infty}$ be i.i.d. random variables uniform over $[-1,1]$.

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 …

Sep 10, 2018 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …

Oct 15, 2016 · A piecewise continuous function doesn't have to be continuous at finitely many points in a finite interval, so long as you can split the function into subintervals such that each …

$\begingroup$ A complex-valued function is continuous if and only if both, its real part and its imaginary part are continuous. $\endgroup$ – Daniel Fischer Commented Feb 21, 2014 at 17:14

Added @Dimitris's answer prompted me to mention, beyond the fact that the implication on normed spaces indeed is an equivalence, that it's the converse which holds in the wider …

Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their …

Jul 21, 2020 · Is the derivative of a differentiable function always continuous? My intuition goes like this: If we imagine derivative as function which describes slopes of (special) tangent lines …

Jul 30, 2014 · Continuous Spectrum: The continuous spectrum exists wherever $\omega(\lambda)$ is positive, and you can see the reason for the original use of the term …

$\begingroup$ Since the domain doesn't include the origin, isn't this function just the composition of a bunch of continuous functions, and thus continuous? $\endgroup$ – Ashwin Iyengar …