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Ok, I can accept this...
I also asked a mathematics major friend of mine.  He says that the 
problem I'm having with my "math" is that digital is a cross sectional 
arrangement, and film chemicals are "random" lattice structures.  And so 
while some films might be diagonally sharper, it might not be on a 
vertical-horizontal cross plane.  I can accept this as well. 
Albert
 
I believe your math is off by a factor of two. It takes TWO or more pixels to 
resolve a line (Nyquist limit).
 
sq-rt (11,100,000 / 864) = 113 lines / mm
 
Ignoring for now the assumption that the sensor is square, if you allow for two 
pixels per line, you get a more reasonable 56.5 lpmm.
 
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