Can you solve it manually?
Sent from Mail for Windows 10
From: Stuart Reynolds
Sent: 08 March 2019 22:55
To: sympy
Subject: [sympy] Can sympy solve (1. - (x ** n)) ** (1/n) = y , and similar?
Dear Sympy users,
I'm new to sympy and interested in using it for function design.
I'm curious about what types of things I should be able to expected sympy.solve
to solve. In particular, trying to solve:
(1. - (x ** 2)) ** (1. / 2) = 1/2
seems to fail for me:
import sympy
x, one, two = sympy.symbols("x 1 2")
# Equation of circle: y=sqrt(1 - x^2)
# What x is gives 1/2?
f = (one - (x ** two)) ** (one / two)
# Asking sympy to find the analytics solution:
print sympy.solveset(sympy.Eq(f, one/two), x, domain=sympy.Reals)
# ValueError: x**w where w is irrational is not defined for negative x
This equation as a solution:
print sympy.lambdify([], f.subs({x:0.865}))() # 0.501 --- seems pretty close
Did I ask it wrong or is it a limitation of the solver?
Thanks,
- Stuart
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