
What is a continuous extension? - Mathematics Stack Exchange
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") …
What's the difference between continuous and piecewise …
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 …
Difference between continuity and uniform continuity
Jan 27, 2014 · 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 …
probability theory - Why does a C.D.F need to be right-continuous ...
May 10, 2019 · Continue to help good content that is interesting, well-researched, and useful, rise to the top! To gain full voting privileges,
Proof of Continuous compounding formula - Mathematics Stack …
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 …
is bounded linear operator necessarily continuous?
3 This property is unrelated to the completeness of the domain or range, but instead only to the linear nature of the operator. Yes, a linear operator (between normed spaces) is bounded if …
calculus - A function is said to be continuous. Can it still have ...
Aug 15, 2016 · This is a general question. A function is said to be continuous. Can it still have vertical asymptotes? Looking at the definition of continuity, I would say no. Because near a …
Continuity and Joint Continuity - Mathematics Stack Exchange
Jan 13, 2012 · So ''continuous'' = ''jointly continuous'' for several variables and otherwise it is called ''continuous in each argument''?
Continuous from the left/right - Mathematics Stack Exchange
Apr 27, 2021 · Continuous from the left/right Ask Question Asked 4 years, 5 months ago Modified 4 years, 5 months ago
Proving the inverse of a continuous function is also continuous
Proving the inverse of a continuous function is also continuous Ask Question Asked 11 years, 11 months ago Modified 7 years, 10 months ago