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)
“These six things doth the Lord hate: yea, seven are an abomination unto him: A proud look, a lying tongue, and hands that shed innocent blood, an heart that deviseth wicked imaginations, feet that be swift in running to mischief, a false witness that speaketh lies, and he that soweth discord among brethren.”
—Bible: Hebrew Proverbs 6:16-19.
“... my one aim and concentrated purpose shall be and is to show that women can learn, can reason, can compete with men in the grand fields of literature and science ... that a woman can be a woman and a true one without having all her time engrossed by dress and society.”
—M. Carey Thomas (1857–1935)