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  2. Even and odd functions - Wikipedia

    en.wikipedia.org/wiki/Even_and_odd_functions

    That implies that product of any number of even functions is an even function as well. The product of two odd functions is an even function. The product of an even function and an odd function is an odd function. The quotient of two even functions is an even function. The quotient of two odd functions is an even function.

  3. Even function - Wikipedia

    en.wikipedia.org/?title=Even_function&redirect=no

    Even function. 6 languages. Deutsch; ... Download QR code; Print/export Download as PDF; Printable version; In other projects Wikidata item ...

  4. List of types of functions - Wikipedia

    en.wikipedia.org/wiki/List_of_types_of_functions

    Even function: is symmetric with respect to the Y-axis. Formally, for each x: f (x) = f (−x). Odd function: is symmetric with respect to the origin. Formally, for each x: f (−x) = −f (x). Relative to a binary operation and an order: Subadditive function: for which the value of f (x + y) is less than or equal to f (x) + f (y).

  5. Legendre polynomials - Wikipedia

    en.wikipedia.org/wiki/Legendre_polynomials

    The Legendre polynomial is determined by the values used for the two constants and , where = if is odd and = if is even. [ 2 ] In the fourth representation, ⌊ n / 2 ⌋ {\displaystyle \lfloor n/2\rfloor } stands for the largest integer less than or equal to n / 2 {\displaystyle n/2} .

  6. Zernike polynomials - Wikipedia

    en.wikipedia.org/wiki/Zernike_polynomials

    Download as PDF; Printable version; In other projects ... (even function over the azimuthal angle ... (odd and even), just as periodic functions find an orthogonal ...

  7. Parity (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Parity_(mathematics)

    It is possible for a function to be neither odd nor even, and for the case f(x) = 0, to be both odd and even. [20] The Taylor series of an even function contains only terms whose exponent is an even number, and the Taylor series of an odd function contains only terms whose exponent is an odd number. [21]

  8. Generating function - Wikipedia

    en.wikipedia.org/wiki/Generating_function

    Download as PDF; Printable version; ... this is simply the familiar decomposition of a function into even and odd parts (i.e., even and odd powers): ...

  9. Even - Wikipedia

    en.wikipedia.org/wiki/Even

    even and odd functions, a function is even if f(−x) = f(x) for all x; even and odd permutations, a permutation of a finite set is even if it is composed of an even number of transpositions; Singly even number, an integer divisible by 2 but not divisible by 4; Even code, if the Hamming weight of all of a binary code's codewords is even