Archiv der Kategorie Uncategorized

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
Kategorien: Uncategorized | Schreibe einen Kommentar

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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The Bayesian and the Frequentist – II

This is not immediately related to Bayesian statistics. But it is a good argument for the frequentistic approach. I met the problem in  a Youtube video, but the core of this problem is well known. The solutions are not always … Weiterlesen

20. Juli 2016 von mga010
Kategorien: Euler, Uncategorized | Schreibe einen Kommentar

A Problem of Logic

The Problem Recently, I stumbled across a very interesting problem. I closed the site and started to think about the solution. Therefore, I neither have a link nor the solution given on the page. Let us try our luck with … Weiterlesen

12. Juli 2016 von mga010
Kategorien: English, Uncategorized | Schreibe einen Kommentar

The Bayesian and the Frequentist – I

I think I write a series of postings about Bayesian statistics and the view that I take on it as a frequentist. Do not expect too much depth here. I am not a specialist in statistics. I just want to study … Weiterlesen

12. Juni 2016 von mga010
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Numerical versus Symbolic Solutions

I did a short video about symbolic solutions versus numerical methods. The point is that a solution such as \(x=\left(\frac{\sqrt{5339}}{8\,3^{\frac{3}{2}}}+\frac{379}{216}\right)^{\frac{1}{3}}-\dfrac{2}{9\,\left(\frac{\sqrt{5339}}{8\,3^{\frac{3}{2}}}+\frac{379}{216}\right)^{\frac{1}{3}}}-\dfrac{1}{3}\) are not helpful, unless you are a number theorist. The solutions of equations of degree 5 are usually not available … Weiterlesen

03. November 2015 von mga010
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Floating Point Arithmetic – Youtube Video

I demonstrate floating point arithmetic and big floats in this video on Youtube. I will continue this in a series with videos about EMT.

02. November 2015 von mga010
Kategorien: Uncategorized | Schreibe einen Kommentar

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