Archiv der Kategorie Uncategorized

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
Kategorien: Uncategorized | Schreibe einen Kommentar

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
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Minimize the Surface of a Cubuid

The problem I discuss in this blog post is from the nice page by Dan Meyer. The blog is interesting anyway because of the way Dan thinks about teaching. The concept „less helpful“ says it all. I was sometimes asked … Weiterlesen

28. September 2015 von mga010
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Visualizing the Newton Algorithm in the Plane

Continuing my last blog entry, let us try the Newton Algorithm with two variables. First we define the function f(x,y). We use an example where we know the zeros exactly. $$f(x,y) = (x+iy)^3-1.$$ The zeros are the three roots of … Weiterlesen

21. September 2015 von mga010
Kategorien: Uncategorized | Schreibe einen Kommentar

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