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  1. 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") …

  2. 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 …

  3. probability theory - Why does a C.D.F need to be right-continuous ...

    May 10, 2019 · Of course, the CDF of the always-zero random variable $0$ is the right-continuous unit step function, which differs from the above function only at the point of discontinuity at $x=0$.

  4. 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 …

  5. calculus - What is the difference between continuous derivative …

    What is the difference between continuous derivative and derivative? According to my teacher's solution to the assignment, it seems there exits a difference between continuous derivative …

  6. Continuity and Joint Continuity - Mathematics Stack Exchange

    Jan 13, 2012 · the difference is in definitions, so you may want to find an example what the function is continuous in each argument but not jointly

  7. Continuous function proof by definition - Mathematics Stack …

    Continuous function proof by definition Ask Question Asked 12 years, 9 months ago Modified 6 years, 7 months ago

  8. Proof of Continuous compounding formula - Mathematics Stack …

    12 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 …

  9. Absolutely continuous functions - Mathematics Stack Exchange

    Jan 12, 2015 · This might probably be classed as a soft question. But I would be very interested to know the motivation behind the definition of an absolutely continuous function. To state "A real …

  10. is bounded linear operator necessarily continuous?

    In general, is a bounded linear operator necessarily continuous (I guess the answer is no, but what would be a counter example?) Are things in Banach spaces always continuous?