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  1. What is the intuition behind Chebyshev's Inequality in Measure Theory

    May 12, 2021 · Chebyshev's inequality says that the area in the red box is less than the area under the blue curve f(x) f (x). The only issue with this picture is that, depending on λ λ and f f, you might have …

  2. Chebyshev's versus Markov's inequality - Mathematics Stack Exchange

    Regarding Chebyshev's and Markov's inequality. What is the relation (if any) between them? Which one is more strict (and in which situation)? Is there an easy way to understand what they express (kind of …

  3. statistics - Finding $n$ using Chebyshev’s inequality - Mathematics ...

    Dec 8, 2018 · The height of a person is a random variable with variance $\\leq 5$ square inches. According to Mr. Chebyshev, how many people do we need to sample to ensure that the sample …

  4. Growth order of a function given its Chebyshev/minimax error term

    Dec 14, 2025 · While an a n comes from expanding around z = 0 z = 0 (Taylor series) and En(f) E n (f) usually relates to expanding in Chebyshev polynomials (which live on [−1, 1] [1, 1]), the difference …

  5. probability theory - Chebyshev's inequality application and …

    Aug 11, 2018 · Chebyshev's inequality application and convergence - practical example Ask Question Asked 7 years, 5 months ago Modified 7 years, 5 months ago

  6. How to find Chebyshev nodes - Mathematics Stack Exchange

    3 I want to use Chebyshev interpolation. But I am a little confused for finding Chebyshev nodes. I use the following figure to illustrate my problem. Consider I have a vector of numbers I depicted as a line …

  7. probability theory - Intuition behind Chebyshev's inequality ...

    Jun 30, 2015 · Is there any intuition behind Chebyshev's inequality or is that only pure mathematics? What strikes me is that any random variable (whatever distribution it has) applies to that.

  8. How to implement the Neumann boundary condition when solving the …

    Dec 10, 2023 · I am studying the Chebyshev pseudo-spectral method and having problems understanding how to implement the Neumann boundary condition when trying to solve a PDE.

  9. How to Find Power Series Solutions of Chebyshev's Equation?

    Jun 3, 2011 · Homework Statement Chebyshev's Equation is (1-x^2) y^ {\prime\prime} - xy^ {\prime} + c^2 y =0 where c is a real constant. (a) Find 2 linearly independent power series solutions of …

  10. Using Chebyshev's inequality to obtain lower bounds

    May 10, 2012 · I'm unaware of Chebyshev's inequality hence I can't do this question, can anyone help. Q) A company produces planks whose length is a random variable of mean 2.5m and standard …