Even And Odd Functions
In mathematics, even functions and odd functions are functions which satisfy particular symmetry relations, with respect to taking additive inverses. They are important in many areas of mathematical analysis, especially the theory of power series and Fourier series. They are named for the parity of the powers of the power functions which satisfy each condition: the function f(x) = xn is an even function if n is an even integer, and it is an odd function if n is an odd integer.
Read more about Even And Odd Functions: Definition and Examples, Some Facts, Harmonics
Famous quotes containing the words odd and/or functions:
“His reversed body gracefully curved, his brown legs hoisted like a Tarentine sail, his joined ankles tacking, Van gripped with splayed hands the brow of gravity, and moved to and fro, veering and sidestepping, opening his mouth the wrong way, and blinking in the odd bilboquet fashion peculiar to eyelids in his abnormal position. Even more extraordinary than the variety and velocity of the movements he made in imitation of animal hind legs was the effortlessness of his stance.”
—Vladimir Nabokov (18991977)
“If photography is allowed to stand in for art in some of its functions it will soon supplant or corrupt it completely thanks to the natural support it will find in the stupidity of the multitude. It must return to its real task, which is to be the servant of the sciences and the arts, but the very humble servant, like printing and shorthand which have neither created nor supplanted literature.”
—Charles Baudelaire (18211867)