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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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| | Liverpool v?a vô ??ch Premier League, ?i?u này t?o nên m?t th?ng kê thú v?: s? cúp vô ??ch c?a các ??i bóng t?o thành m?t dãy s? Fibonacci. ?i?u này là ng?u nhiên hay có m?t cách lí gi?i toán h?c ?n sau nó? Tôi biên bài báo ng?n v? dãy Fibonacci c?ng nh?...
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| | The rational numbers $latex {\mathbb{Q}}&fg=000000$ are dense in the real numbers $latex {\mathbb{R}}&fg=000000$. The cardinality of rational numbers in the interval $latex {(0,1)}&fg=000000$ is $latex {\boldsymbol{\aleph}_0}&fg=000000$. We cannot list them in ascending order, because there is no least rational number greater than $latex {0}&fg=000000$. However, there are several ways of enumerating the rational numbers. The...
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