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:
“What is the most rigorous law of our being? Growth. No smallest atom of our moral, mental, or physical structure can stand still a year. It grows—it must grow; nothing can prevent it.”
—Mark Twain [Samuel Langhorne Clemens] (1835–1910)
“‘Tis with my mind
As with the tide swelled up unto his height,
That makes a still-stand, running neither way.”
—William Shakespeare (1564–1616)
“Poe gives the sense for the first time in America, that literature is serious, not a matter of courtesy but of truth.”
—William Carlos Williams (1883–1963)