Archiv der Kategorie Euler

Image Processing and Data Evaluation in EMT

There is an example for Euler Math Toolbox (EMT) where I tried to fit curves to a real chain. I then fitted a parabola and a catenary to the points and explained a bit about the catenary. The points where … Weiterlesen

04. August 2016 von mga010
Kategorien: English, Euler | Schreibe einen Kommentar

The Bayesian and the Frequentist – III

For another story, I read the following problem on a Google+ site yesterday: You have three cards in your pocket, one with two red sides, one with two blue sides and one with a red and a blue side. You … Weiterlesen

24. Juli 2016 von mga010
Kategorien: English, Euler, PISA | Schreibe einen Kommentar

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

Units in Euler Math Toolbox

Units have long been an integral part of EMT. I want to show you a few examples. First, let us talk about the non-metric system the US is still using. Quote: „Nobody understands the metric system! We use teaspoons!“. >1inch … Weiterlesen

08. April 2016 von mga010
Kategorien: English, Euler | Schreibe einen Kommentar

Solving Partition Problems with Linear Programming

Yesterday I promised to show how to solve partition problems with integer linear programming. Let us take the problem of yesterday: We want to split the numbers from 1 to 30 in 10 triplets (x,y,z) such that x+y+z=0 modulo 31. … Weiterlesen

30. März 2016 von mga010
Kategorien: English, Euler | Schreibe einen Kommentar

Modulo Arithmetic with Euler Math Toolbox

Recently, I came across the problem to compute expressions in the modulo arithmetic with integer numbers. Here is an example: We like to compute expressions modulo 31. Since 31 is prime the numbers 0 to 30 with addition and multiplication … Weiterlesen

29. März 2016 von mga010
Kategorien: English, Euler | Schreibe einen Kommentar

Euler Math Toolbox and Matlab

Recently, this site got more traffic than usual. So I thought I welcome all of you in the new year (which is already three weeks old now). And I provide some new content for you to read. For me, the … Weiterlesen

25. Januar 2016 von mga010
Kategorien: English, Euler | 2 Kommentare

Pure Symbolic Functions in Maxima and EMT

I like to demonstrate a few tricks with Maxima and EMT. Assume you want to generate the Vandermonde matrix, and check the identity \(\det \begin{pmatrix} 1 & x_0 & \ldots & x_0^n \\ \vdots & \vdots &  & \vdots \\ … Weiterlesen

12. Dezember 2015 von mga010
Kategorien: English, Euler | Schreibe einen Kommentar

December Problem

I found the following problem on the page of the wonderful Science Blogs. It is in German. Let me translate it. Bernd writes two different numbers between 1 and 1000 on two cards of paper. Anna selects one, and after … Weiterlesen

07. Dezember 2015 von mga010
Kategorien: English, Euler | Schreibe einen Kommentar

Linear Optimization with Maxima and EMT

Maxima and EMT do of course have implementations of the Simplex algorithm. The algorithm in Maxima seems to work differently for floating point numbers and for fractions. Here is an example in fractions. We solve a problem in standard form. … Weiterlesen

21. Oktober 2015 von mga010
Kategorien: English, Euler | Schreibe einen Kommentar

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