Rational operators (a {t} b); a,b

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Rational operators (a {t} b); a,b > e solved

Xorter $Offline$
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Posts: 93
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Joined: Aug 2016

#26

08/24/2016, 07:24 PM

(08/22/2016, 12:36 AM)JmsNxn Wrote:
(08/21/2016, 06:56 PM)Xorter Wrote: Hello, James! Hello, Everyone!
I am really interested in that how you could make that beautiful graph. Could you tell me, please?
Thank you very much.

Search for the cheta function on the forum and get its power series.
Take
$f(t,x) = cheta(cheta^{-1}(x) + t)$

define

$x [t] y = f(t,f(-t,x) + f(-t,y))\,\,t<1$

$x [t] y = f(t-1,yf(1-t,x))\,\,t \ge 1$

continuous solution which is analytic for t < 1 and t >1 with a singularity at t=1

oddly enough

$x [t] e$ is analytic everywhere.

Thank you for the answer!
Could you show me an example, too, please?
E. g. How can I evaluate 3[0.5]3 or 3[1.5]3?

Xorter Unizo

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Messages In This Thread

Rational operators (a {t} b); a,b > e solved - by JmsNxn - 06/06/2011, 02:45 AM

RE: Rational operators (a {t} b); a,b > e solved - by sheldonison - 06/06/2011, 04:39 AM

RE: Rational operators (a {t} b); a,b > e solved - by JmsNxn - 06/06/2011, 05:34 AM

RE: Rational operators (a {t} b); a,b > e solved - by sheldonison - 06/06/2011, 06:02 AM

RE: Rational operators (a {t} b); a,b > e solved - by sheldonison - 06/06/2011, 07:03 AM

RE: Rational operators (a {t} b); a,b > e solved - by nuninho1980 - 06/06/2011, 05:16 PM

RE: Rational operators (a {t} b); a,b > e solved - by bo198214 - 06/06/2011, 06:53 AM

RE: Rational operators (a {t} b); a,b > e solved - by JmsNxn - 06/06/2011, 08:47 AM

RE: Rational operators (a {t} b); a,b > e solved - by bo198214 - 06/06/2011, 09:23 AM

RE: Rational operators (a {t} b); a,b > e solved - by tommy1729 - 06/06/2011, 11:59 AM

RE: Rational operators (a {t} b); a,b > e solved - by JmsNxn - 06/06/2011, 05:44 PM

RE: Rational operators (a {t} b); a,b > e solved - by bo198214 - 06/06/2011, 09:28 PM

RE: Rational operators (a {t} b); a,b > e solved - by JmsNxn - 06/06/2011, 07:47 PM

RE: Rational operators (a {t} b); a,b > e solved - by sheldonison - 06/06/2011, 08:43 PM

RE: Rational operators (a {t} b); a,b > e solved - by JmsNxn - 06/07/2011, 02:45 AM

RE: Rational operators (a {t} b); a,b > e solved - by bo198214 - 06/07/2011, 06:59 AM

RE: Rational operators (a {t} b); a,b > e solved - by JmsNxn - 06/08/2011, 04:54 AM

RE: Rational operators (a {t} b); a,b > e solved - by JmsNxn - 06/08/2011, 07:31 PM

RE: Rational operators (a {t} b); a,b > e solved - by sheldonison - 06/08/2011, 08:32 PM

RE: Rational operators (a {t} b); a,b > e solved - by bo198214 - 06/08/2011, 09:14 PM

RE: Rational operators (a {t} b); a,b > e solved - by tommy1729 - 09/02/2016, 01:50 AM

RE: Rational operators (a {t} b); a,b > e solved - by JmsNxn - 06/08/2011, 11:47 PM

RE: Rational operators (a {t} b); a,b > e solved - by Gottfried - 06/11/2011, 02:33 PM

RE: Rational operators (a {t} b); a,b > e solved - by JmsNxn - 06/12/2011, 07:55 PM

RE: Rational operators (a {t} b); a,b > e solved - by Xorter - 08/21/2016, 06:56 PM

RE: Rational operators (a {t} b); a,b > e solved - by JmsNxn - 08/22/2016, 12:36 AM

RE: Rational operators (a {t} b); a,b > e solved - by Xorter - 08/24/2016, 07:24 PM

RE: Rational operators (a {t} b); a,b > e solved - by Xorter - 08/29/2016, 02:06 PM

RE: Rational operators (a {t} b); a,b > e solved - by JmsNxn - 09/01/2016, 06:47 PM

RE: Rational operators (a {t} b); a,b > e solved - by tommy1729 - 09/02/2016, 02:04 AM

RE: Rational operators (a {t} b); a,b > e solved - by tommy1729 - 09/02/2016, 02:11 AM

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