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:
“Last evening attended Croghan Lodge International Order of Odd Fellows. Election of officers. Chosen Noble Grand. These social organizations have a number of good results. All who attend are educated in self-government. This in a marked way. They bind society together. The well-to-do and the poor should be brought together as much as possible. The separation into classescastesis our danger. It is the danger of all civilizations.”
—Rutherford Birchard Hayes (18221893)
“Those things which now most engage the attention of men, as politics and the daily routine, are, it is true, vital functions of human society, but should be unconsciously performed, like the corresponding functions of the physical body.”
—Henry David Thoreau (18171862)