Counting Permutations By Number of Cycles
The unsigned Stirling number of the first kind, s(k, j) counts the number of permutations of k elements with exactly j disjoint cycles.
Read more about this topic: Cycles And Fixed Points
Famous quotes containing the words counting, permutations, number and/or cycles:
“Love is sinister,
is mean to us in separation;
makes our thin bodies thinner.
This fellow Death
lacks mercy
and is good at counting our days.
And Master,
you, too, are subject
to the plague of jealousy
so think:
how could womenfolk,
soft as sprouts,
live like this?”
—Amaru (c. seventh century A.D.)
“Motherhood in all its guises and permutations is more art than science.”
—Melinda M. Marshall (20th century)
“You are the majority—in number and intelligence; therefore you are the force—which is justice. Some are scholars, others are owners; a glorious day will come when the scholars will be owners and the owners scholars. Then your power will be complete, and no man will protest against it.”
—Charles Baudelaire (1821–1867)
“The stars which shone over Babylon and the stable in Bethlehem still shine as brightly over the Empire State Building and your front yard today. They perform their cycles with the same mathematical precision, and they will continue to affect each thing on earth, including man, as long as the earth exists.”
—Linda Goodman (b. 1929)