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)
“For a long time, I went to bed early. Sometimes, my candle barely put out, my eyes closed so quickly that I did not have the time to say to myself: “I am falling asleep”.”
—Marcel Proust (1871–1922)
“The waves have now a redder glow—
The hours are breathing faint and low—
And when, amid no earthly moans,
Down, down that town shall settle hence,
Hell, rising from a thousand thrones,
Shall do it reverence.”
—Edgar Allan Poe (1809–1849)