The World's First Petaflop SuperComputer

[mgb_phys]

The largest prime is a function of time. Setting the current time to t_0, we get \epsilon(t_0) = 2^{43112609} - 1, where \epsilon > 0 is the largest prime. Now apply A. Einstein's speed limit of 300 km/s to get a upper limit for the current time (which is no longer what the current time was when I began this post), in terms of the current space. We find that for each \epsilon, there is a \delta > 0 such that |f(x) - f(y)| < \epsilon. (See Introduction to Elementary Quantum Field Theory for Poets, by Gumm, page 486257). Now we use the standard mathematician's subterfuge of allowing zero to approach \delta from behind. This sneak attack will insure that \delta is circumspect while we let \epsilon \rightarrow 0. Thus the largest prime is zero.

Fortunately the adoption of the "one,two,many,lots" counting system allows to simply state that the largest prime has the value "lots" - in fact all primes except "many" have the value "lots"

 

[Phrak]

The switching time is more a question of the capacitance of the junction which fortunately drops with feature size. Even desktop PCs now have <45nm features.

MosFets are more widely used, aren't they? There must be a rough way to characterize delay time with feature size. Something like t = f(RC+t_drift), using lumped values. What to do with power disipation--hold it constant with die area? And is there a lower bound on bias voltage for mosfets? It hadn't occurred to me to ask if there were a lower limit on flipping channel. Deposition thinkness would effect both R and C. Has it remained fairly constant as of late?