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

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 …

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 …

Jun 1, 2015 · 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 …

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.

Mar 3, 2018 · Apparently the Chebyshev polynomials are those which minimize the Runge phenomenon, so this should mean that the Gauss-Chebyshev rule should be more accurate? …

Jul 9, 2023 · Chebyshev's inequality looks a strange thing to use here as the distribution and values you see give a lot of information. Clearly $0 \le \theta \le 1$ as it is the parameter of a …

Aug 7, 2024 · Chebyshev polynomials (of the first kind) are easily defined by $$ T_n (\cos \theta) = \cos (n \theta) $$ Is there a piece of literature that tries to extend this to multiple variables? …

Mar 11, 2021 · Chebyshev's inequality for complex random variable Ask Question Asked 4 years, 11 months ago Modified 4 years, 11 months ago

Jun 30, 2015 · It would be better to rephrase the question in more specific terms, like: "How to compute the Fourier-Chebyshev expansion of $\sin (x)$ and $\cos (x)$ over $ [-1,1]$?" - and …