Archiv der Kategorie English

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

Functions for Maxima in EMT

Assume we want a function that evaluates a number to n digits using Maxima’s big float numbers. You can write a purely symbolic function for this. >function N(x,n) &&= block(fpprec:n, bfloat(x)) block(fpprec : n, bfloat(x)) >&N(pi,100) 3.141592653589793238462643383279502884197169399375105820974944\ 592307816406286208998628034825342117068b0 The value … Weiterlesen

20. August 2015 von mga010
Kategorien: English, Euler | Schreibe einen Kommentar

Reading and Displaying Stock Data with EMT

I am not sure if I ever posted about this here. It is possible to read stock data in EMT from Yahoo. The code for this is contained in the utility file „getstock.e“. >load getstock; >v=getstock(„AlV.DE“,day(2012,1,1)); // AlV.DE = German … Weiterlesen

19. August 2015 von mga010
Kategorien: English, Euler | Schreibe einen Kommentar

The Problem with recent Java Updates

It is fair to say that Oracle is not treating Java well. After the Ask-bar annoyance it is now bugging Java users with a faulty installation of the recent Java update. No surprise that Java loses more and more ground. … Weiterlesen

17. August 2015 von mga010
Kategorien: C.a.R. - Z.u.L., English | Schreibe einen Kommentar

Update of C.a.R. / Z.u.L.

My geometry program C.a.R. (compass and ruler) got an update today. In fact, it did not get an update for two years. Everybody seems to be using Geogebra these days. While that system is not bad and includes a complete … Weiterlesen

10. August 2015 von mga010
Kategorien: English | Schreibe einen Kommentar

The „Two Envelopes Problem“

During the recent four day Holidays I found time to think about the paradox of the two envelopes: Assume you are given two envelopes, one containing the double amount of the other. You select one of them by chance and … Weiterlesen

04. August 2015 von mga010
Kategorien: English, Euler | Schreibe einen Kommentar

Spirograph type Spirals in EMT

This is related to post in Math Less Travelled by Brent Yorgey (see also here by John D. Cook). They call the curve „mystery curve“. Of course, I had to try this in EMT (Euler Math Toolbox). The first attempt was the … Weiterlesen

29. Juni 2015 von mga010
Kategorien: English, Euler | Schreibe einen Kommentar

The Difficulty of Math

I just recently found the following problem on my Google+ page. Students or other math enthusiasts like to post problems there. The above seems to be from a text book or a collection of problems. If you cannot read the … Weiterlesen

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

Smooth Function to a Vector of Data

I should be more busy to continue the series about problems solved with Euler Math Toolbox. This might be a good advertisement of EMT, and it might serve as a guide for users. Suppose I am given some data yd. … Weiterlesen

11. April 2015 von mga010
Kategorien: English, Euler | 3 Kommentare

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