Docs: std.math.conj wrong
Daniel Keep
daniel.keep.lists at gmail.com
Sun Apr 8 02:08:28 PDT 2007
The documentation for std.math.conj states:
`` Note that z * conj(z) = z.re^2 - z.im^2 is always a real number ''
This *should* say:
`` Note that z * conj(z) = z.re^2 + z.im^2 is always a real number ''
Proof:
given
z = x + iy
conj(z) = x - iy
then
z*conj(z) = (x + iy)(x - iy)
= x^2 - ixy + ixy - (i^2 y^2) -- Two ixy's cancel out
= x^2 - ((-1)y^2) -- i^2 = (-1)
= x^2 - (-y^2)
= x^2 + y^2
QED
As far as I can tell, this is purely a documentation issue, not a code one.
-- Daniel
--
int getRandomNumber()
{
return 4; // chosen by fair dice roll.
// guaranteed to be random.
}
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