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belcour.github.io | ||
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momentsingraphics.de
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mkatkov.wordpress.com
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| | | | | For probability space $latex (\Omega, \mathcal{F}, \mathbb{P})$ with $latex A \in \mathcal{F}$ the indicator random variable $latex {\bf 1}_A : \Omega \rightarrow \mathbb{R} = \left\{ \begin{array}{cc} 1, & \omega \in A \\ 0, & \omega \notin A \end{array} \right.$ Than expected value of the indicator variable is the probability of the event $latex \omega \in... | |
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blog.demofox.org
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| | | | | The python code that goes along with this blog post can be found at https://github.com/Atrix256/InverseDFTProblems To evaluate the quality of a blue noise texture, you can analyze it in frequency space by taking a discrete Fourier transform. What you want to see is something that looks like tv static (white noise) with a darkened center,... | |
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ncatlab.org
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| | | [AI summary] The Dold-Kan correspondence is a fundamental result in algebraic topology and homological algebra that establishes an equivalence between the category of simplicial abelian groups and the category of non-negatively graded chain complexes of abelian groups. This correspondence allows for the translation of problems between these two frameworks, facilitating the study of homotopy theory and homological algebra. Key aspects include its role in constructing Eilenberg-MacLane spaces, looping and delooping operations, and its applications in sheaf cohomology and computational methods. The correspondence is rooted in the work of Dold and Kan and has been generalized to various contexts, including semi-Abelian categories and stable homotopy theory. | ||
