2011-02-18 21:11, Dmitry Shkirmanov skrev:
I tried it and received wrong answer.
Let's consider for example the code:
#
reset()
forget()
var("a,b,c,d,f")
assume(a-b<0)
expr=(a^2-b^2)*f
expr2=sqrt(expr)
print(expr2.full_simplify())
#
It gives
sqrt(a - b)*sqrt(a + b)*sqrt(f)
But a-b<0, so expressi
> sage: a=2; b=3; f=5
> sage: assert(a-b<0)
> sage: sqrt(a-b)*sqrt(a+b)*sqrt(f)
> 5*I
> sage: sqrt((a^2-b^2)*f)
> 5*I
> sage:
Of course, you are right. But
#
sage: var("a,b,c,d,f")
(a, b, c, d, f)
sage: expr=sqrt((a-b)*(c+d))
sage: assume(a-b<0)
sage: expr.full_simplify()
sqrt(-c - d)*sqrt(-a + b)
> sage: expr2 = sqrt(a^2-b^2)
> sage: expr2.full_simplify()
> sqrt(a - b)*sqrt(a + b)
I am sorry, there is a mistake.
wrong answer gives
#
var("a,b,c,d,f")
assume(a-b<0)
expr=sqrt((a^2-b^2)*f)
expr2=expr.full_simplify()
show(expr2)
#
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