Counting Permutations By Number of Fixed Points
The value f(k, j) counts the number of permutations of k elements with exactly j fixed points. For the main article on this topic, see rencontres numbers.
Read more about this topic: Cycles And Fixed Points
Famous quotes containing the words counting, permutations, number, fixed and/or points:
“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)
“The genius of democracies is seen not only in the great number of new words introduced but even more in the new ideas they express.”
—Alexis de Tocqueville (1805–1859)
“Every morning I woke in dread, waiting for the day nurse to go on her rounds and announce from the list of names in her hand whether or not I was for shock treatment, the new and fashionable means of quieting people and of making them realize that orders are to be obeyed and floors are to be polished without anyone protesting and faces are to be made to be fixed into smiles and weeping is a crime.”
—Janet Frame (b. 1924)
“We only part to meet again.
Change, as ye list, ye winds: my heart shall be
The faithful compass that still points to thee.”
—John Gay (1685–1732)