Falling and Rising Factorial
The notation (x)n is used to denote the falling factorial, an n-th degree polynomial defined by
Confusingly, the same notation may be encountered as representing the rising factorial, also called "Pochhammer symbol". Another notation for the same is x(n). It can be defined by
Read more about this topic: Bracket (mathematics)
Famous quotes containing the words falling and/or rising:
“Lionel Johnson comes the first to mind,
That loved his learning better than mankind,
Though courteous to the worst; much falling he
Brooded upon sanctity....”
—William Butler Yeats (1865–1939)
“The vines of her arms
didn’t cling to the ends of his clothes,
or did she plant herself in the doorway,
hurl herself at his feet,
or utter the word “Stay!”
But as that fool began to go
at the time when it was dark with swarming clouds,
the slim girl blocked her lover’s way
with only a rising river
made with her flood of tears.”
—Amaru (c. seventh century A.D.)