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pk <thi### [at] videotron ca> wrote:
:> uh... I always thought + meant AND...
: .... i meant to say:"i always thought * (well, dot with valign=center)
: meant AND...
Nope, they don't mean the same thing.
The function { x * y } is certainly not the same as function { x & y }
(you can render them if you want to see the difference).
What you are saying in the first function is that a point <x,y,z> is inside
the shape if and only if x*y < 0.
The the second case you are saying that a point <x,y,z> is inside the shape
if and only if x < 0 and y < 0.
For example <-1,2,0> is inside the function { x * y } but it's not inside
the function { x & y }.
The inverted V-looking operator (and I don't have any reason to believe
that & in isosurface functions is anything else) is a basic operator in
set theory. The same goes for | (which is the V-looking operator in set
theory and denotes union).
:> So, what's the opposite of AND? NAND? i don't think so....
Basic set theory (I use & and | here because of the lack of the proper
characters):
The inverse of A&B is -(A&B) ie. (-A)|(-B).
Here '-' means "not" (ie. "not in the set"). That is, a point is not in
A&B if and only if it's either not in A or not in B (that is, it's not in
both at the same time).
--
main(i,_){for(_?--i,main(i+2,"FhhQHFIJD|FQTITFN]zRFHhhTBFHhhTBFysdB"[i]
):_;i&&_>1;printf("%s",_-70?_&1?"[]":" ":(_=0,"\n")),_/=2);} /*- Warp -*/
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