Transformation of Expressions
- To: mathgroup at yoda.physics.unc.edu
- Subject: Transformation of Expressions
- From: rickli at aut.ee.ethz.ch (Martin Rickli)
- Date: Tue, 28 Jun 1994 17:28:03 +0200
My professor asked me the following:
If we have an expression built with rational numbers and a irrational
number, it is nown that there exists a ("linear") representation of the
form
f[irrational] = rational + rational*irrational
e.g. Sqrt[ (3 + Sqrt[5])/2 ] = 1/2 + 1/2 Sqrt[5]
(here Sqrt[5] is the irrational number).
How can we find these rational numbers (of course using Mma)?
To my regret I couldn't help him.
Is it possible to set up transformation rules doing this (hopefully yes)?
Thanks for any hint.
With kind regards
______________________________________________________________________
Martin Rickli E-mail: Rickli at aut.ee.ethz.ch
Automatic Control Laboratory
ETH Zurich Physikstr. 3, ETL K12
CH-8092 Zurich, Switzerland