What is a continuous extension? - Mathematics Stack Exchange
There are other ways a function can be a continuous extension, but probably the most basic way (and likely about the only way you'll see in elementary calculus) is that you have a function …
real analysis - Proof that $f (x) = x^2$ is continuous ($\delta ...
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$f$ is a homeomorphism iff $f$ is bijective, continuous and open
Jun 19, 2017 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …
Difference between continuity and uniform continuity
Jan 27, 2014 · I understand the geometric differences between continuity and uniform continuity, but I don't quite see how the differences between those two are apparent from their definitions. …
Proving the inverse of a continuous function is also continuous
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finance - Proof of Continuous compounding formula
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 …
probability theory - Why does a C.D.F need to be right-continuous ...
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 $[-1,1]$.
is bounded linear operator necessarily continuous?
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 …
general topology - Closure of continuous image of closure
Nov 14, 2012 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …
calculus - Is there a shorthand or symbolic notation for ...
In basic calculus an analysis we end up writing the words "continuous" and "differentiable" nearly as often as we use the term "function", yet, while there are plenty of convenient (and even …