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  1. Continuous vs Discrete Variables - Mathematics Stack Exchange

    Dec 14, 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 those …

  2. calculus - Relation between differentiable,continuous and integrable ...

    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 unbounded intervals.

  3. Continuous Poisson Distribution - Mathematics Stack Exchange

    Aug 25, 2021 · There are different types of continuous extensions of Poisson distribution. I favor the one presented in this paper: "Continuous counterparts of Poisson and binomial distributions and their …

  4. 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") simultaneously …

  5. What is the difference between discrete and continuous mathematics?

    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 interests. On the …

  6. real analysis - Are Continuous Functions Always Differentiable ...

    Oct 26, 2010 · An interesting fact is that most (i.e. a co-meager set of) continuous functions are nowhere differentiable. The proof is a consequence of the Baire Category theorem and can be found (as an …

  7. 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 rate (as a

  8. Continuous function proof by definition - Mathematics Stack Exchange

    Continuous function proof by definition Ask Question Asked 13 years, 1 month ago Modified 6 years, 11 months ago

  9. What is the intuition for semi-continuous functions?

    A function is continuous if the preimage of every open set is an open set. (This is the definition in topology and is the "right" definition in some sense.) The definitions you cite of semicontinuities claim …

  10. Proving the inverse of a continuous function is also continuous

    Proving the inverse of a continuous function is also continuous Ask Question Asked 12 years, 6 months ago Modified 8 years, 4 months ago