Re: Discrete Functions... Signal Simulation... A Study Using Mathematica

*To*: mathgroup at smc.vnet.net*Subject*: [mg66795] Re: Discrete Functions... Signal Simulation... A Study Using Mathematica*From*: Peter Pein <petsie at dordos.net>*Date*: Tue, 30 May 2006 05:49:14 -0400 (EDT)*References*: <e5av3o$nss$1@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

Mohamed Al-Dabbagh schrieb: > Abstract: An attempt was made to analytically describe some basic > functions which are provided with the libraries of mathematical > functions of programming languages. This study will rely on Mathematica > in calculating all numerical results. This study provides global > methods to calculate some discrete functions, which were previously > calculated by using low-level language techniques to chop digits. Using > these definitions we can simulate digital signals without the need for > IF statements and conditions. > > A comparison were made between the formulas provided by this study and > some functions provided by Mathematica such as FractionalPart function > that converges very slowly or does NOT converge at all to correct > results. The formulas derived herein were applied to complex numbers > and some interesting results were obtained, such as the integer part of > a complex number equals the Floor of its real part, and will be without > imaginary part, i.e. the integer part of a complex number is a real > number! > > For the complete study: > > http://dabbagh2.fortunecity.com/disc > > > Mohamed Al-Dabbagh > Well, I think an integer part _has to_ be an integer part. Peter -- "A rose is a rose is a rose"