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:
“Is it not manifest that our academic institutions should have a wider scope; that they should not be timid and keep the ruts of the last generation, but that wise men thinking for themselves and heartily seeking the good of mankind, and counting the cost of innovation, should dare to arouse the young to a just and heroic life; that the moral nature should be addressed in the school-room, and children should be treated as the high-born candidates of truth and virtue?”
—Ralph Waldo Emerson (18031882)
“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)
“In the U.S. for instance, the value of a homemakers productive work has been imputed mostly when she was maimed or killed and insurance companies and/or the courts had to calculate the amount to pay her family in damages. Even at that, the rates were mostly pink collar and the big number was attributed to the husbands pain and suffering.”
—Gloria Steinem (20th century)
“The firelight of a long, blind, dreaming story
Lingers upon your lips; and I have seen
Firm, fixed forever in your closing eyes,
The Corn King beckoning to his Spring Queen.”
—Randall Jarrell (19141965)
“the
Decapitated exclamation points in that Other Womans eyes.”
—Gwendolyn Brooks (b. 1917)