Even and odd Functions

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Even and odd Functions

 

in mathematics. The function y = f(x) is said to be even if its value does not change when the sign of the independent variable changes—that is, if f(–x) = f(x). If, however, f(–x) = –f(x), then the function f(x) is said to be odd. For example, y = cos x and y = x2 are even functions, and y = sin x, y = x3 are odd functions. The graph of an even function is symmetric with respect to the y-axis, and the graph of an odd function is symmetric with respect to the origin.

References in classic literature ?
Indeed, except in respect of staring about him (a branch of the public service to which the pictorial cherub is much addicted), this domestic cherub discharged as many odd functions as his prototype; with the difference, say, that he performed with a blacking-brush on the family's boots, instead of performing on enormous wind instruments and double-basses, and that he conducted himself with cheerful alacrity to much useful purpose, instead of foreshortening himself in the air with the vaguest intentions.
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Domains of univalence for typically real odd functions.
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Symbolic preprocessing is used by the NIntegrate function to simplify piece-wise, even and odd functions.
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2)] is the class of univalent, convex and odd functions in [DELTA] with real coefficients.
On functions convex in the direction of the real axis with real coefficients
Zaprawa, P, Koebe domains for the class of typically real odd functions, Th.
On close-to-star functions
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