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:
“A multitude of little superfluous precautions engender here a population of deputies and sub-officials, each of whom acquits himself with an air of importance and a rigorous precision, which seemed to say, though everything is done with much silence, “Make way, I am one of the members of the grand machine of state.””
—Marquis De Custine (1790–1857)
“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.
“A baby is a full time job for three adults. Nobody tells you that when you’re pregnant, or you’d probably jump off a bridge. Nobody tells you how all-consuming it is to be a mother—how reading goes out the window and thinking too.”
—Erica Jong (20th century)