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  1. Continuous vs Discrete Variables - Mathematics Stack Exchange

    14 Noll 2025 · Both discrete and continuous variables generally do have changing values—and a discrete variable can vary continuously with time. I am quite aware that discrete variables are …

  2. What is a continuous extension? - Mathematics Stack Exchange

    The continuous extension of f(x) f (x) at x = c x = c makes the function continuous at that point. Can you elaborate some more? I wasn't able to find very much on "continuous extension" …

  3. 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 …

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

    10 Beal 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 …

  5. What's the difference between continuous and piecewise …

    15 DFómh 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 …

  6. What is the difference between discrete and continuous …

    Some people like discrete mathematics more than continuous mathematics, and others have a mindset suited more towards continuous mathematics - people just have different taste and …

  7. real analysis - Absolute continuous implies uniform continuous ...

    25 Samh 2023 · Absolute continuous implies uniform continuous? Ask Question Asked 2 years, 1 month ago Modified 2 years, 1 month ago

  8. Difference between continuity and uniform continuity

    27 Ean 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 …

  9. What is the formal definition of a continuous function?

    19 Lún 2022 · The MIT supplementary course notes you linked to give — and use — the following (non-standard) definition: We say a function is continuous if its domain is an interval, and it is …

  10. calculus - Is a differentiable function always continuous ...

    14 MFómh 2014 · 9 Continuous Functions are not Always Differentiable. But can we safely say that if a function f (x) is differentiable within range $ (a,b)$ then it is continuous in the interval $ …