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 Algorithms
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)
“Swan/Mary Rutledge: Oh no, no. I’m not running away. I came here to get something, and I’m going to get it.
Col. Cobb: Yes, but San Francisco is no place for a woman.
Swan: Why not? I’m not afraid. I like the fog. I like this new world. I like the noise of something happening.... I’m tired of dreaming, Colonel Cobb. I’m staying. I’m staying and holding out my hands for gold—bright, yellow gold.”
—Ben Hecht (1893–1964)
“My tea is nearly ready and the sun has left the sky;
It’s time to take the window to see Leerie going by;
For every night at tea-time and before you take your seat,
With lantern and with ladder he comes posting up the street.”
—Robert Louis Stevenson (1850–1894)