3 ms·
> one cannot feasibly produce resistors with values as elements of a dense subset of the real line, being, as analysis taught us, an uncountable set. Thisnis h
by lupire 4y ago
> one cannot feasibly produce resistors with values as elements of a dense subset of the real line, being, as analysis taught us, an uncountable set.
Thisnis hyperbolic.
The number of abstract mathematically plausible values is countable, not uncountable, and the number of practical values under real world tolerances is finite. Real numbers have nothing to do with it, and Egyptian fractions are useful for compressing a large finite set into a small finite basis. They do nothing thay helps compress infinite sets.