simplifying quotient of piecewise functions
- To: mathgroup at smc.vnet.net
- Subject: [mg96966] simplifying quotient of piecewise functions
- From: Tom Roche <tlroche at gmail.com>
- Date: Sat, 28 Feb 2009 06:43:17 -0500 (EST)
I'm solving some conditional probability density functions. One
solution involves a division such that the numerator is
(1) \[Piecewise]1/5 (2 \[Chi]+\[Psi]) {0<=\[Chi]<=2,0<=\[Psi]<=1}
and the denominator is
(2) \[Piecewise]((2 (2+\[Psi]))/5) 0<=\[Psi]<=1
For the quotient, Mathematica 7 is just giving me (1) over (2), rather
than
(3) \[Piecewise]((2 \[Chi]+\[Psi])/(2 (2+\[Psi])))
{0<=\[Chi]<=2,0<=\[Psi]<=1}
even when I append
// Simplify
and re-evaluate. Am I using the wrong syntax to get the simplified
quotient? or am I wrong to expect (3)?