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Should LOGIC PROGRAMMERS worry about SETS BIGGER THAN INFINITY?
Posted:
Dec 29, 2012 5:25 PM
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ALL OF SCI.MATH A RESOUNDING - 'YES'
and 100 MEGABYTE of USELESS PROOFS TO GO WITH IT
and GET CALLED A KRANK IF YOU POST AN ALTERNATIVE!
L(x,y) +----------------> | 0. 2 3 4 5 6 7 .. | 0. 9 8 7 6 5 5 .. | 0. 1 2 3 1 2 3 .. | 0. 9 8 9 8 9 8 .. | 0. 6 5 6 5 6 5 .. | 0. 5 6 5 6 5 6 .. | .. v
FLIP(d) = 6 IFF d<6 FLIP(d) = 5 OTHERWISE
Now apply your FLIP(d) function to the ENTIRE LIST
T(x,y) +----------------> | 0. 6 6 6 6 5 5 .. | 0. 5 5 5 5 6 6 .. | 0. 6 6 6 6 6 6 .. | 0. 5 5 5 5 5 5 .. | 0. 5 6 5 6 5 6 .. | 0. 6 5 6 5 6 5 .. | .. v
T(x,y) +----------------> | 0. 6 X X X X X .. | 0. X 5 X X X X .. | 0. X X 6 X X X .. | 0. X X X 5 X X .. | 0. X X X X 5 X .. | 0. X X X X X 5 .. | .. v
OK NOW YOU WANT TO ISOLATE THAT PATH THROUGH T
AND ONLY THAT PATH THROUGH T!
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PERMUTING THE LIST AND TAKING THE ANTI-DIAGONAL
IS *EQUIVALENT* TO
SELECTING A PATH THROUGH THE TRANSPOSE LIST
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SAME THING!
YET THERE IS NO MISSING REAL WHEN YOU DO IT MY WAY!
Herc
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