2014年1月27日 · To understand the difference between continuity and uniform continuity, it is useful to think of a particular example of a function that's continuous on $\mathbb R$ but not …

To find examples and explanations on the internet at the elementary calculus level, try googling the phrase "continuous extension" (or variations of it, such as "extension by continuity") …

2016年10月15日 · 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 …

2016年5月6日 · A continuous map is not necessarily open. For example the $\sin$ function is continuous but not open since it maps the open interval $ (0,\pi)$ to $ (0,1]$, which is not open.

2019年5月10日 · Continue to help good content that is interesting, well-researched, and useful, rise to the top! To gain full voting privileges,

2012年11月14日 · Closure of continuous image of closure Ask Question Asked 12 years, 10 months ago Modified 12 years, 10 months ago

The containment "continuous"$\subset$"integrable" depends on the domain of integration: It is true if the domain is closed and bounded (a closed interval), false for open intervals, and for …

Proving the inverse of a continuous function is also continuous Ask Question Asked 11 years, 10 months ago Modified 7 years, 9 months ago

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 …

2021年8月25日 · Is there a Continuous analogous of the Poisson Distribution? Under the analogous, I mean such a distribution that: It is a one-parameter distribution Its distribution …