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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"