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?