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> Also interesting to note is that"effectively constant", although extremely hand-wavy and not rigorous, is used even by computer scientists to denote extremely
by nwellnhof 9y ago
> Also interesting to note is that"effectively constant", although extremely hand-wavy and not rigorous, is used even by computer scientists to denote extremely slow growing functions.
Another example is Donald Knuth who claims in TAOCP, section 4.3.3 "How fast can we multiply", that multiplication algorithms are effectively linear. Quote: "For all practical purposes we can assume that [...] the Schönhage-Strassen multiplication technique will have a running time linearly proportional to n. [...] The practical problem of fast multiplication is therefore solved, except for improvements in the constant factor."
This really stuck out to me.