On Thursday, February 6, 2014 8:36:08 AM UTC-5, Bruno wrote:
>
> Dear Sage-support,
>
> I'm trying reproduce a function,namely uq, of the variable t which I know
> that exist but don't know the symbolic expression of it. I can determine
> the expression by a system of 3 equations (eq0,eq1,eq2) and 4 variables
> (p0,p1,t,uq) ,as it follows
>
> var('p0 p1 uq q t')
> q=0.8
> A=(((t*((p0**q)+(p1**q)))-((1-q)*(0-uq))))
> B=(((t*((p0**q)+(p1**q)))-((1-q)*(1-uq))))
>
> eq0= ((1-p0)**(1-q))*A - (p0**(1-q))*B == 0
>
> eq1= ((1-p0)**(1-q))*B - (p1**(1-q))*A == 0
>
> eq2 = uq*(p0**q) + (uq-1)*(p1**q) == 0
>
> solve([eq0,eq1,eq2],p0,p1,uq)
>
>
I can confirm this hangs. A lot. Note that it's not immediately clear
that there is a nice solution to this (assuming you want a
symbolic/algebraic solution).
I tried replacing 0.8 with 4/5 because sometimes Maxima likes that better,
but that seemed to be useless.
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