Nested Square Roots by Ramanujan
admin The Indian mathematician Srinivasa Ramanujan was as an extremely talented autodidact, capable of doing the most complicated algebraic manipulations. He later worked with Hardy in England fighting with lots of…
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Java Course in English
I have used Google’s translator to convert my Java Class into an English Version. That worked surprisingly well. There is still a lot to do, and I will go through…
Average Waiting Times and 42
Let us start with a simple question. How long does it on average take to throw two times 6 in a row when throwing dice? I have treated average waiting…
A ChatGPT Letter written by to Myself
Dear Professor Grothmann, I hope this letter finds you well. I recently had the pleasure of exploring your homepage and was deeply impressed by the breadth of topics you have…
ChatGPT Revisited
A colleague of mine now told me that ChatGPT as advanced to a state where homework assignments can be treated, at least in the first courses in Analysis and Linear…
Matt Parker measures the Earth
This is inspired by a very nice and entertaining Video on the Stand-Up-Math channel featuring Matt Parker and Hannah from NumberPhile. They aimed to repeat an experiment from a book…
What does a Mirror Flip?
I recently was asked a question about mirrors which has been asked a million times before: Why does a mirror flip the left and right side of a face, but…
Paradoxes in Probability Theory
Probability theory is always a more difficult topic than it seems at first sight. In another posting, I talked about the „two envelopes problem“ and described my basic approach to…
Logical Flaws
The following is the Wason Selection Task, as cited by Wikipedia. „You are shown a set of four cards placed on a table, each of which has a number on…
Pisa-Unsinn
Ich finde immer wieder Pisa-Aufgaben im Netz, die schlecht formuliert sind. Ich hoffe mal, dass die zitierten Aufgaben nicht wirklich die Aufgaben sind, die gestellt wurden. Aber immerhin habe ich…