Archiv der Kategorie Uncategorized

A Manifest for better University Teaching in Math

The Current State Teaching at the university level is completely different from teaching in schools. We assume that adults are capable of autonomous, self-guided learning. Thus we teach by „reading“ to them. In math, that is writing on a blackboard. … Weiterlesen

14. Juni 2018 von mga010
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The „One More Ace?“ Problem

Let me tackle another problem of statistics. I found it on a web page among other problems of the silly kind like „Is 0.999..<1?“. But actually, this one is a real problem that can provide insight into statistical thinking. It is … Weiterlesen

04. Juni 2018 von mga010
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A Problem on Probability

I just found an old problem in Spiegel Online (see here). The problem is absolutely mind-boggling. It goes as follows. Three prisoners A, B and C are told that two of them will come free on the next day. You … Weiterlesen

13. Februar 2018 von mga010
Kategorien: Uncategorized | 2 Kommentare

A Geometry Problem with Three Circles and a Point

  I friend gave me a geometric problem which turns out to boil down to the figure above. We have three arbitrary circles C1, C2, C3. Now we construct the three green lines through the two intersection points of each … Weiterlesen

25. Januar 2018 von mga010
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Journalists and Logic

The „Zeit“ titles „Die größte bekannte Primzahl ist gefunden“, in English „The biggest known prime number has been found“. The logic of this heading is so bizarre! The article is not saying much anyways.

06. Januar 2018 von mga010
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A Geometric Problem

I found the following problem on my Google+ account: In the image below, the total length of the blue line segments is equal to the total length of the green line segments. The segments form an angle of 60° among … Weiterlesen

31. Dezember 2017 von mga010
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Least Common Multiplier of First N Numbers

There is a famous result that is quite surprising if you see it the first time: The log of the least common multiplier of the first n integers is approximately n. The quotient converges to 1. Or to say it another … Weiterlesen

30. Juni 2017 von mga010
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Computing a Special Sum

I recently found the following problem in my Google+ account: What is \(\dfrac{1}{2 \cdot 4} + \dfrac{1 \cdot 3}{2 \cdot 4 \cdot 6} + \dfrac{1 \cdot 3 \cdot 5}{2 \cdot 4 \cdot 6 \cdot 8} + \ldots\) This kind of sum … Weiterlesen

18. Mai 2017 von mga010
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Sensor Size and Image Quality

If you are confused about the effect the sensor size makes to your image quality you are not alone. In this post, I try to explain a good part of these problems. I try to do that without any math. But … Weiterlesen

20. Januar 2017 von mga010
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Making GIF Animations

I fixed „makeanimations.e“ in EMT. The code for this is the following. >function f(z,z0) := (z-z0)/(conj(z0)*z-1); >function plotcircle(z,r,z0,color=black) … $t=linspace(0,2pi,500); w=f(z+r*exp(I*t),z0); $barstyle(„#“); barcolor(color); $hold on; polygon(re(w),im(w),0); hold off; $endfunction >function plotall (d,z0=0.5) … $fullwindow; setplot(1.05); clg; $plotcircle(0,1,0,lightgray); $plotcircle(0,1/3,z0,white); $c=exp(((0:5)/6+d)*2*pi*I)*2/3; $loop … Weiterlesen

09. Dezember 2016 von mga010
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