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statisticaloddsandends.wordpress.com | ||
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juliawolffenotes.home.blog
Recently Terry Tao posted to the arXiv his paper Almost all Collatz orbits attain almost bounded values, which caused quite the stir on social media. For instance, this Reddit post about it is only a day old and already has nearly a thousand upvotes; Twitter is abuzz with tweets like Tim Gowers': (this sentiment seems... |
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thirdorderscientist.org
[AI summary] The article explains how to determine the number of samples needed to estimate a success probability with a specific confidence level by using Hoeffding's Inequality for Bernoulli random variables. |
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hbfs.wordpress.com
$latex n!$ (and its logarithm) keep showing up in the analysis of algorithm. Unfortunately, it's very often unwieldy, and we use approximations of $latex n!$ (or $latex \log n!$) to simplify things. Let's examine a few! First, we have the most known of these approximations, the famous "Stirling formula": $latex \displaystyle n!=\sqrt{2\pi{}n}\left(\frac{n}{e}\right)^n\left(1+\frac{1}{12n}+\frac{1}{288n^2}-\frac{139}{51840n^3}-\cdots\right)$, Where the terms... |
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beijingcityphoto.wordpress.com
1. Each week, we'll provide a theme for creative inspiration. You take photographs based on your interpretation of the theme, and post them on your blog (a new post!) anytime before the following Friday when the next photo theme will be announced. 2. To make it easy for others to check out your photos, title... |
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