Rising and Falling Factorials
Let represent the rising factorial and let represent the falling factorial .
Then and
For example,
Compare the third row of the table of values.
Read more about this topic: Lah Number
Famous quotes containing the words rising and, rising and/or falling:
“Oh, what a catastrophe for man when he cut himself off from the rhythm of the year, from his unison with the sun and the earth. Oh, what a catastrophe, what a maiming of love when it was a personal, merely personal feeling, taken away from the rising and the setting of the sun, and cut off from the magic connection of the solstice and the equinox!”
—D.H. (David Herbert)
“The rising power of the United States in world affairs ... requires, not a more compliant press, but a relentless barrage of facts and criticism.... Our job in this age, as I see it, is not to serve as cheerleaders for our side in the present world struggle but to help the largest possible number of people to see the realities of the changing and convulsive world in which American policy must operate.”
—James Reston (b. 1909)
“The health of the soul is something we can be no more sure of than that of the body; and though a man may seem far from the passions, yet he is in as much danger of falling into them as one in a perfect state of health of having a fit of sickness.”
—François, Duc De La Rochefoucauld (1613–1680)