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:
“But counting up to two
Is harder to do....”
—Philip Larkin (1922–1986)
“The new shopping malls make possible the synthesis of all consumer activities, not least of which are shopping, flirting with objects, idle wandering, and all the permutations of these.”
—Jean Baudrillard (b. 1929)
“I wonder love can have already set
In dreams, when we’ve not met
More times than I can number on one hand.”
—Philip Larkin (1922–1986)
“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)