Hello,
Suppose I want to get the area of the intersection of two regions, given by
x^2+y^2 < 4 and x+y<1 .
In Mathematica I can use
Integrate[
Boole[And[x^2 + y^2 < 4,
x + y < 1]], {x, -Infinity, Infinity}, {y, -Infinity, Infinity}]
"Boole" is a function which turns True into 1 and False into 0.
How can I do the same in SAGE? I tried:
def boole(x):
if(x == True):
return 1
return 0
integrate(integrate( boole(x^2+y^2<4 and x+y<1),(x,-oo,oo)),(y,-oo,oo))
but it doesn't work (gives zero).
Thanks!
--
Renan Birck Pinheiro - Grupo de Microeletrônica
<http://www.ufsm.br/gmicro>- Engenharia
Elétrica <http://www.ufsm.br/cee>/UFSM <http://www.ufsm.br>
http://renanbirck.blogspot.com / skype: renan.ee.ufsm
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