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Re: Riemann zeta function in Forth

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"A. K." <akk@..rg> writes Re: Riemann zeta function in Forth

> On 30.04.2012 16:25, mh...nl wrote:
[..]
>> ZZETA matches Mathematica for the negative real axis and some
>> selected poles with Re(s)<  1.

> Under the somewhat simplifying assumption that Forth is good for small 
> devices, but not altoo well suited for mathematics (there are better 
> competitors in that realm),

Well, I do not agree that Forth is good only for small devices. 
For instance, I have Forth software that hooks both into SPICE 
simulator engines (LTSpice and NGSPICE) and Simulink, and allows
digital state-feedback control of switched mode power supplies 
that are being designed at the device-level. I think I am on 
the point to have gained sufficient knowledge to need neither 
SPICE nor Simulink to do what I want (I can do it all in Forth).

On the other hand, I am installing Code Composer Studio right now 
to work with the Piccolo controlSTICK DSP (40 Euros, can do FP and 
fixed-point). I have no Forth software for that device (yet :-)

For each task imaginable there exists a better tool than I am 
currently using. However, I'd like to know more or less exactly HOW
such tools work, as I observe they break rather easily (The TI tools 
took 10 minutes diskaccess, 1 GB memory and 20 minutes internet contact 
to install), leaving the user with no other option than try something 
else. I have found that Forth is quite good at helping me find out how 
things work. This is becoming more and more important now less and less
people seem to have such (saleable) knowledge anymore.

>                             what could one practically achieve with 
> numbercrunching the Zetafunction in Forth??? Crypto-stuff???

I don't know (isn't it nice to gain some understanding of the zeta 
function while using Forth?). For me it is a way to test the MPFR and MPC interfaces to iForth. Indeed, I improved the functionality and fixed a 
few bugs during the Riemann Zeta coding. And I learned quite a few things 
about approximating functions and complex numbers that would be quite an
unpleasant and prohibitively time-expensive study in other settings.

> Of course, I understand that it can be a lot of fun....

The driving factor for most things I do.

-marcel

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Riemann zeta function in Forth Krishna Myneni <krishna.myneni@ccreweb.org> - 2012-04-28 07:48 -0700
  Re: Riemann zeta function in Forth mhx@iae.nl - 2012-04-29 09:18 -0700
    Re: Riemann zeta function in Forth mhx@iae.nl - 2012-04-29 11:49 -0700
      Re: Riemann zeta function in Forth Krishna Myneni <krishna.myneni@ccreweb.org> - 2012-04-29 17:08 -0700
        Re: Riemann zeta function in Forth mhx@iae.nl - 2012-04-29 23:47 -0700
          Re: Riemann zeta function in Forth Krishna Myneni <krishna.myneni@ccreweb.org> - 2012-04-30 04:17 -0700
          Re: Riemann zeta function in Forth mhx@iae.nl - 2012-04-30 07:25 -0700
            Re: Riemann zeta function in Forth "A. K." <akk@nospam.org> - 2012-04-30 16:59 +0200
              Re: Riemann zeta function in Forth mhx@iae.nl - 2012-04-30 09:33 -0700
                Re: Riemann zeta function in Forth Krishna Myneni <krishna.myneni@ccreweb.org> - 2012-04-30 15:21 -0700
                Re: Riemann zeta function in Forth Andrew Haley <andrew29@littlepinkcloud.invalid> - 2012-05-01 02:53 -0500
                Re: Riemann zeta function in Forth "Elizabeth D. Rather" <erather@forth.com> - 2012-05-01 08:37 -1000
          Re: Riemann zeta function in Forth Krishna Myneni <krishna.myneni@ccreweb.org> - 2012-05-02 07:06 -0700
            Re: Riemann zeta function in Forth Hans Bezemer <the.beez.speaks@gmail.com> - 2012-05-03 17:43 +0200
              Re: Riemann zeta function in Forth Krishna Myneni <krishna.myneni@ccreweb.org> - 2012-05-03 19:33 -0700
                Re: Riemann zeta function in Forth The Beez <the.beez.speaks@gmail.com> - 2012-05-04 01:39 -0700
                Re: Riemann zeta function in Forth Krishna Myneni <krishna.myneni@ccreweb.org> - 2012-05-04 15:26 -0700
                Re: Riemann zeta function in Forth The Beez <the.beez.speaks@gmail.com> - 2012-05-05 02:55 -0700

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