3 ms·
That example would be two dimensions still in the limit computation, since you can keep building outwards (add buildings) but not scale upwards (add floors)
by manwe150 1y ago
That example would be two dimensions still in the limit computation, since you can keep building outwards (add buildings) but not scale upwards (add floors)
- frollogaston 1y agoYou can add floors though. Some datacenters are 8 stories with cross-floor network fabrics.
- immibis 1y agoWhen you get to, say, 100000 stories, you can't build more stories. At this point your computer costs more than the Earth's GDP for a century, so talking about theoretical scaling laws is irrelevant. Eventually you run out of the sun's power output so you build a Dyson sphere and eventually use all of that power, anyway.
- frollogaston 1y agoOh right, so the height is practically a constant. Square root for sure then.
- LPisGood 1y agoAll algorithms are O(1) in this case
- frollogaston 1y agoYou pick what things are constant and what's variable. If you're scaling a supercomputer to fit a problem, the height is going to max out quickly and can be treated as constant, while the other dimensions are variable.