Rigorous Running Time
The Schnorr-Seysen-Lenstra probabilistic algorithm has been rigorously proven by Lenstra and Pomerance to have expected running time by replacing the GRH assumption with the use of multipliers. The algorithm uses the class group of positive binary quadratic forms of discriminant Δ denoted by GΔ. GΔ is the set of triples of integers (a, b, c) in which those integers are relative prime.
Read more about this topic: Integer Factorization
Famous quotes containing the words rigorous, running and/or time:
“For rigorous teachers seized my youth,
And purged its faith, and trimm’d its fire,
Show’d me the high, white star of Truth,
There bade me gaze, and there aspire.
Even now their whispers pierce the gloom:
What dost thou in this living tomb?”
—Matthew Arnold (1822–1888)
“It is moot whether there be divinities
As I finish this play by Webster:
The street-cars are still running however
And the katharsis fades in the warm water of a yawn.”
—Allen Tate (1899–1979)
“Art and power will go on as they have done,—will make day out of night, time out of space, and space out of time.”
—Ralph Waldo Emerson (1803–1882)