Archiv der Kategorie English

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

Today in the Classroom

Me: Instead of the sum of squares we can also try to minimize the maximal distance \(f(c) = \max_\limits{1 \le k \le n} |x_k-c|\) What would be the result, assuming we have the points in order \(x_1 < \ldots < … Weiterlesen

09. November 2015 von mga010
Kategorien: English | 2 Kommentare

Let’s talk about Logic

In a recent blog entry, I moaned about the missing logical education in schools. But what is logic actually, and why is it important? Let us take the viewpoint of the foundations of mathematics for a moment, and sketch the … Weiterlesen

29. Oktober 2015 von mga010
Kategorien: English | Schreibe einen Kommentar

Teachers forget the Logic

I found this in my Google+ box some time ago. The comments showed clearly the disastrous confusion that teachers produce when they refuse to teach logic. Today, blogs like this do not get a very thorough reading. But the matter … Weiterlesen

23. Oktober 2015 von mga010
Kategorien: English | 2 Kommentare

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

Povray in Euler Math Toolbox

EMT can do a lot of 3D plots, but it is not an OpenGL application. This means that it has restrictions concerning hidden surfaces and intersecting objects. But if you install Povray you can do a lot more. Note that … Weiterlesen

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

Random Dices

This is just an answer to a question that came up in a discussion. Can you simulate 2 dice throws and display the frequencies in EMT? Actually, this is quite simple. We demonstrate it with 20 repetitions first. The trick … Weiterlesen

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

About Multi-Variate Functions in EMT

You define a vector valued function of two variables in EMT as follows. >function f([x,y]) := [x^2+y^2-10,x*y-1] >broyden(„f“,[1,2]) [0.317837, 3.14626] Then f can be used in the form f(x,y) or f(v) with a 1×2 vector v. The Broyden algorithm needs … Weiterlesen

30. September 2015 von mga010
Kategorien: English, Euler | Schreibe einen Kommentar

Visualizing the Newton Method in EMT

In a post by squareCircleZ I found a visualization of the Newton method with JavaScript. This looks like a modern and sleek way of providing demos to students. I have some doubts about the depth of the insights gained by this … Weiterlesen

25. August 2015 von mga010
Kategorien: English, Euler | 3 Kommentare

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