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  2. Parity of zero - Wikipedia

    en.wikipedia.org/wiki/Parity_of_zero

    In mathematics, zero is an even number.In other words, its parity—the quality of an integer being even or odd—is even. This can be easily verified based on the definition of "even": zero is an integer multiple of 2, specifically 0 × 2.

  3. Parity (mathematics) - Wikipedia

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

    In mathematics, parity is the property of an integer of whether it is even or odd. An integer is even if it is divisible by 2, and odd if it is not. [ 1 ] For example, −4, 0, and 82 are even numbers, while −3, 5, 7, and 21 are odd numbers.

  4. Even and odd functions - Wikipedia

    en.wikipedia.org/wiki/Even_and_odd_functions

    They are named for the parity of the powers of the power functions which satisfy each condition: the function () = is even if n is an even integer, and it is odd if n is an odd integer. Even functions are those real functions whose graph is self-symmetric with respect to the y -axis, and odd functions are those whose graph is self-symmetric ...

  5. Parity bit - Wikipedia

    en.wikipedia.org/wiki/Parity_bit

    In mathematics parity can refer to the evenness or oddness of an integer, which, ... (data packet) the sender calculates its parity bit, zero or one, to make it ...

  6. Category:Parity (mathematics) - Wikipedia

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

    Parity (mathematics) divides the integers into two alternating sets, even and odd. This category is for extensions and applications of parity. ... Parity of zero This ...

  7. Parity of a permutation - Wikipedia

    en.wikipedia.org/wiki/Parity_of_a_permutation

    Therefore, the parity of the number of inversions of σ is precisely the parity of m, which is also the parity of k. This is what we set out to prove. We can thus define the parity of σ to be that of its number of constituent transpositions in any decomposition. And this must agree with the parity of the number of inversions under any ordering ...

  8. Collatz conjecture - Wikipedia

    en.wikipedia.org/wiki/Collatz_conjecture

    Which operation is performed, ⁠ 3n + 1 / 2 ⁠ or ⁠ n / 2 ⁠, depends on the parity. The parity sequence is the same as the sequence of operations. Using this form for f(n), it can be shown that the parity sequences for two numbers m and n will agree in the first k terms if and only if m and n are equivalent modulo 2 k. This implies that ...

  9. Portal:Mathematics - Wikipedia

    en.wikipedia.org/wiki/Portal:Mathematics

    The weighing pans of this balance scale contain zero objects, divided into two equal groups. In mathematics, zero is an even number. In other words, its parity—the quality of an integer being even or odd—is even. This can be easily verified based on the definition of "even": zero is an integer multiple of 2, specifically 0 × 2.