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)
“Andrews: Do you mind if I ask a question frankly? Do you love my daughter?
Peter: Any guy that’d fall in love with your daughter ought to have his head examined.
Andrews: Now that’s an evasion.
Peter: She grabbed herself a perfect running mate. King Westley! The pill of the century. What she needs is a guy that’d take a sock at her once a day, whether it’s coming to her or not.”
—Robert Riskin (1897–1955)
“Every time a woman makes herself laugh at her husband’s often-told jokes she betrays him. The man who looks at his woman and says “What would I do without you?” is already destroyed.”
—Germaine Greer (b. 1939)