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:
“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)
“The poetic act consists of suddenly seeing that an idea splits up into a number of equal motifs and of grouping them; they rhyme.”
—Stéphane Mallarmé (1842–1898)
“Nothing stands out so conspicuously, or remains so firmly fixed in the memory, as something which you have blundered.”
—Marcus Tullius Cicero (106–43 B.C.)
“In writing biography, fact and fiction shouldn’t be mixed. And if they are, the fictional points should be printed in red ink, the facts printed in black ink.”
—Catherine Drinker Bowen (1897–1973)