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R - A language Quite a while ago, I had to use R for a statistics class. Nice things about R R has a neat programming environment called rstudio: RStudio As you can see, RStudio conveniently shows: The code, an interactive console, a window with plots, loaded variables / functions as well as their values … Read More »

The Collatz sequence The goal of this post is to show you some tools that allow you to visualize data. And I also want to analyze some basic characteristics of the Collatz sequence. The Collatz sequences $(c^n_i)$ of a number $n \in \mathbb{N}_{> 0}$ is defined like this: $$f:\mathbb … Read More »

Einführung in die Stochastik In diesem Artikel werde ich ein paar einfache Definitionen, die für die Stochastik wichtig sind, einführen. Basisdefinitionen bei Zufallsexperimenten Was ist ein ideales Zufallsexperiment? Ein ideales Zufallsexperiment sollte gut beschrieben, wiederholbar und mit mehreren möglichen Ausgängen (also zufällig), sein. Die Zufallsgröße, wie beispielsweise die erwürfelte Zahl, nennt man Zufallsvariable. Es … Read More »

Google Ngram Viewer On October 14, 2010 Google announced that the number of scanned books is over 15 million. They did not simply scan those books, but they digitalized them. They can access not only image files, but the actual text. This allows Google to search in those books and to analyze the … Read More »

Data Visualization The United States public debt increased from \$10.7 trillion in 2008 to \$14.2 trillion by February 2011. Google processes about 24 petabytes of data per day. About 21.9 people live in Mumbai. Today it is incredibly easy to gain raw data, but without context they aren't worth … Read More »