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, falling and/or rising:
“We saw the lightning and that was the guns; and then we heard the thunder and that was the big guns; and then we heard the rain falling and that was the blood falling; and when we came to get in the crops, it was dead men that we reaped.”
—Harriet Tubman (1821–1913)
“Moderation is a fear of falling into that envy and contempt which those who grow giddy with their good fortune quite justly draw upon themselves. It is a vain boasting of the greatness of our mind.”
—François, Duc De La Rochefoucauld (1613–1680)
“The chimney is to some extent an independent structure, standing on the ground, and rising through the house to the heavens; even after the house is burned it still stands sometimes, and its importance and independence are apparent.”
—Henry David Thoreau (1817–1862)