Well, I want to make sure, does solveset just ignore the assumptions about 
unknown, or ignore everything?

For example:

solveset(a+x**2,x);

Of course, assumption about x is ignored. How about assumption about a?

On Tuesday, May 24, 2016 at 5:55:43 PM UTC-5, Aaron Meurer wrote:
>
> solveset ignores assumptions. Instead, you should pass the domain that 
> you wish to solve over as the domain parameter, like solveset(eq, x, 
> domain=S.Reals). 
>
> Relational assumptions like E+1 require the new assumptions (ask(), Q, 
> refine()). This is still a work in progress and may not work very well 
> in every case. Most functions in SymPy only consider the old 
> assumptions (positive=True, is_positive). 
>
> Aaron Meurer 
>
> On Tue, May 24, 2016 at 5:05 PM, chaowen guo <[email protected] 
> <javascript:>> wrote: 
> > Hi: 
> > 
> > the example 
> > 
> > import sympy 
> > energy=sympy.symbols('E',positive=True) 
> > from sympy.assumptions.assume import global_assumptions 
> > global_assumptions.add(sympy.Q.positive(energy-1)) 
> > position=sympy.symbols('r',real=True) 
> > momentum=energy-1-sympy.exp(position) 
> > interval=sympy.solveset(momentum,position,sympy.S.Reals) 
> > print(interval) 
> > 
> > the output is:Intersection((-oo, oo), {log(E - 1)}) 
> > 
> > And then I ask: 
> > sympy.ask(sympy.Q.positive(energy-1)) 
> > the output is true 
> > 
> > So it seems that solveset totally ignores the global_assumptions. How to 
> > tell solveset the global_assumptions, so it can use them to do more 
> > simplification? 
> > 
> > I also try sympy.refine and sympy.simplify to simplify the final 
> interval, 
> > but none of them can simplify interval to just {log(E-1)}; 
> > 
> > By the way, I want to ask how does the assumption system interact with 
> other 
> > part of sympy. I know I can give assumption when I define variables, 
> like 
> > real=True, 
> > positive=True. But I can not give relative assumption, like E+1 is 
> positive 
> > or A-B is greater than C. I figure out global_assumptions may consider 
> > relative 
> > assumption. But how about the other parts of sympy, like solveset, 
> > integrate, integrate.transform, simplify? Do they take 
> global_assumptions 
> > into consideration? 
> > I know mathematica, maple and maxima all support relative assumption. 
> And 
> > they can use the assumptions to do more simplification. Does the 
> assumption 
> > system in 
> > sympy act like the same way? 
> > 
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