Special Values For Fractional Arguments
There are the following special analytic values for fractional arguments between 0 and 1, given by the integral
More may be generated from the recurrence relation or from the reflection relation .
For every, integer or not, we have:
Based on, we have:, where is the Euler–Mascheroni constant or, more generally, for every n we have:
Read more about this topic: Harmonic Number
Famous quotes containing the words special, values, fractional and/or arguments:
“Friendship is learned by watching and listening to you. If she sees that your friends are people you like and trust and dont pretend withpeople who suit youshe probably wont pick friends who just pass by, or people who can help her or improve her status. If you treat friends in a special way, if you are kinder, more generous, more sympathetic, more forgiving with friends, she probably will be, too.”
—Stella Chess (20th century)
“Our culture is ill-equipped to assert the bourgeois values which would be the salvation of the under-class, because we have lost those values ourselves.”
—Norman Podhoretz (b. 1930)
“Hummingbird
stay for a fractional sharp
sweetness, ands gone, cant take
more than that.”
—Denise Levertov (b. 1923)
“Argument is conclusive ... but ... it does not remove doubt, so that the mind may rest in the sure knowledge of the truth, unless it finds it by the method of experiment.... For if any man who never saw fire proved by satisfactory arguments that fire burns ... his hearers mind would never be satisfied, nor would he avoid the fire until he put his hand in it ... that he might learn by experiment what argument taught.”
—Roger Bacon (c. 12141294)