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Useful Inequalities {x2 > 0} v0.41a · November 11, 2023 Cauchy-Schwarz � n P i=1 xiyi �2 ≤ � n P i=1 x2 i � � n P i=1 y2 i � Minkowski � n P i=1 |xi + yi|p � 1 p ≤ � n P i=1 |xi|p � 1 p + � n P i=1 |yi|p � 1 p for p ≥ 1. Hölder n P i=1 |xiyi| ≤ � n P i=1 |xi|p �1/p � n P i=1 |yi|q �1/q for p, q > 1, 1 p + 1 q = 1. Bernoulli (1 + x)r ≥ 1 + rx for x ≥ −1, r ∈ R \ (0, 1). Reverse for r ∈ [0, 1]. (1
WikipediaVision (beta). Anonymous edits to Wikipedia (almost) in real-time. Note: WikipediaVision was my little project started back in 2007 that displayed a real-time map of edits to Wikipedia. Whenever someone would edit an article, a little popup would show up on the world map, indicating which article was edited from where. The internet (and the world) was a simpler place back in 2007 and it w
About I am a researcher in computer science, interested in data structures, algorithms, combinatorics, and other related (and unrelated) topics. Since 2018 I work as an assistant professor at Freie Universität Berlin, in the Theoretical Computer Science group (semi-official page). I obtained my PhD at Saarland University in Saarbrücken, Germany, where my advisor was Raimund Seidel. Afterwards I sp
FishEyeTabs 0.17 FishEyeTabs is a tiny extension for Mozilla Firefox that makes tab selection easier when many tabs are open. If tabs become too small, their labels are not readable. In Firefox 1.5 scrolling was introduced, which is often distracting, because the user has to switch from clicking tabs to clicking arrows and back. FishEyeTabs is an alternative to scrolling, it makes tabs visible usi
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