Archiv der Kategorie Uncategorized

Penney’s Game

I recently stumbled across some YouTube videos about Penney’s game. Here is one of them. The problem was actually new to me, like almost all problems in mathematics. There simply are too many. It is easier to come up with … Weiterlesen

30. April 2021 von mga010
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Another Bayesian Problem

I just stumbled over another problem of probability theory on the channel MindYourDecisions. The video is rather old already, but mathematical problems never age. „A nursery has 3 boys and a number of girls at one day, plus an additional … Weiterlesen

31. März 2021 von mga010
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Depth of Field and Bokeh of an Ideal Lens – Mathematics

I have never written about the optical computations that apply to an „ideal lens“ in the blog, although there is a notebook for Euler Math Toolbox and an Euler file („dof.e“) that can be loaded into the program. The topic, … Weiterlesen

24. März 2021 von mga010
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Hemmes Mathematische Rätsel

Ich verweise einmal auf die von Heinrich Hemme gesammelten mathematischen Rätsel in Spektrum der Wissenschaft. Manche sind leicht, manche sind schwer, alle sind interessant. Hier ist ein älteres Beispiel: Wie lange ist die Kurve, die die Spitze des Dreiecks zurücklegt, … Weiterlesen

20. März 2021 von mga010
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Constructive Art with EMT?

>n=40; X=random(n); Y=random(n); >function map dist(x,y) := log(prod((x-X)^2+(y-Y)^2)) >x=linspace(0,1,500); y=x‘; >z=dist(x,y); levels=linspace(totalmin(z),totalmax(z),100); >fullwindow(); plot2d(z,levels=levels,a=0,b=1,c=0,d=1,<grid):

26. Dezember 2020 von mga010
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The Ethics of AI

I recently have to read a lot about the consequences of AI with respect to ethics and moral. Let me quickly sketch my personal view on the subject. First, let us talk about science fiction and AI robots that act … Weiterlesen

10. Dezember 2020 von mga010
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Teaching Python or Java

Whenever I have the pleasure to teach the beginner course in programming I start with the same question: Python or Java? Since colleagues have good success with Python and since Python is a useful language I am tempted ever again. … Weiterlesen

25. November 2020 von mga010
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The Riemann Sphere

Since I am currently teaching complex function theory I am interested in visualizations of Möbius transformations as well as other analytic functions. The Riemann Sphere together with the Stereographic Projection is a good tool for this. Above you see the … Weiterlesen

08. Juli 2020 von mga010
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A Simple Combinatorial Approximation Problem

This is certainly a well-known problem. But I pose it here because there is a geometric solution, and geometric solutions are always nice. Assume you have two sets of n points \(x_1,\ldots,x_n, \quad y_1,\ldots,y_n\) The problem is to find a … Weiterlesen

17. Juni 2020 von mga010
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C vs Java vs Python vs EMT

I recently tested Python to see if it is good as a first programming language. The answer is a limited „yes“. Python has certainly a lot to offer. It is a mainstream language and thus there is a lot of … Weiterlesen

12. Juni 2020 von mga010
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