Re: [Maxima-discuss] significant difference?

[Richard F. <fa...@be...>]

On 6/10/2019 6:54 AM, Peter van Summeren wrote:
> Hello,
> I am checking a book from Miroslav Lutovac for the nomen q(k)=e^(-pi * 
> K'/K) of the elliptic functions.
> He gives for k=sin(86degrees) a q of 0.2954883855586914 on page 512.
> I did:
> q(k):= (%e)^(-%pi * elliptic_kc(1-k^2)/elliptic_kc(k^2));
> q(sin(%pi * 86/180)),numer;
> And got: 0.2954883855586907
> It is a very small difference - only in the last two digits, but is it 
> significant for something wrong?
> Can anyone check this result?
you can check it yourself.

fpprec:100;
q(k):= (%e)^(-%pi * elliptic_kc(1-k^2)/elliptic_kc(k^2));
bfloat(q(sin(%pi * 86/180)));
apparently agrees with Lutovac
2.954883855586914051679447127.....b-1

> with friendly greetings,
> Peter
>
>
> _______________________________________________
> Maxima-discuss mailing list
> Max...@li...
> https://lists.sourceforge.net/lists/listinfo/maxima-discuss