Solving linear equation systems in Linux
Maxima is an open source system for the manipulation of symbolic and numerical expressions.
A few days ago, while working at an exercise paper for the lecture Information Theory, Gionni, Micheal and I were confronted with the need to solve the following equation system:
After a fruitless Google search, I recalled that some time in the past I had heard about a tool called maxima.
And, I found out, Maxima is indeed a very powerful scientific calculator.
The following code allowed us to solve the equation system:
[x, y, z]);
producing the following, exact result:
x = 98318/250043
y = 133440/250043
z = 18285/250043
Further, it is possible to get an approximated result by using the function float:
[x, y, z]));
and here is the corresponding output:
x = 0.39320436884856
y = 0.53366820906804
z = 0.073127422083402
This page provides several links to Maxima Documentation. I found A Maxima Guide for Calculus Students very helpful!
The previous equation system is used to solve the exercise 1.2 of the exercise paper attached to this post.
The following code is used to define a function:
define('(log2(x)), (log(x) / log(2)) );
Questo post ha un allegato: scaricalo qui.