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  2. 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 ...

  3. Parity (mathematics) - Wikipedia

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

    Even and odd numbers have opposite parities, e.g., 22 (even number) and 13 (odd number) have opposite parities. In particular, the parity of zero is even. [2] Any two consecutive integers have opposite parity. A number (i.e., integer) expressed in the decimal numeral system is even or odd according to whether its last digit is even or odd. That ...

  4. 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

  5. Parity of a permutation - Wikipedia

    en.wikipedia.org/wiki/Parity_of_a_permutation

    The permutation is odd if and only if this factorization contains an odd number of even-length cycles. Another method for determining whether a given permutation is even or odd is to construct the corresponding permutation matrix and compute its determinant. The value of the determinant is the same as the parity of the permutation. Every ...

  6. Collatz conjecture - Wikipedia

    en.wikipedia.org/wiki/Collatz_conjecture

    A k-cycle is a cycle that can be partitioned into k contiguous subsequences, each consisting of an increasing sequence of odd numbers, followed by a decreasing sequence of even numbers. [15] For instance, if the cycle consists of a single increasing sequence of odd numbers followed by a decreasing sequence of even numbers, it is called a 1-cycle.

  7. Odds and evens - Wikipedia

    en.wikipedia.org/wiki/Odds_and_evens

    Odds and evens may refer to: Odds and evens (hand game), a two-player guessing game using fingers; Odds and evens (patience), a solitaire variant of the card game Royal Cotillion; Odds and Evens (film), a 1978 Italian action-comedy movie; Parity (mathematics), the concept of odd and even integers

  8. Double execution: Richard Lee Tabler put to death in Texas 1 ...

    www.aol.com/double-execution-richard-lee-tabler...

    Tabler's execution came about an hour after Florida executed James Dennis Ford. Tabler was convicted of a 2004 double murder, and Ford was convicted of a double murder in 1997.

  9. Parity of zero - Wikipedia

    en.wikipedia.org/wiki/Parity_of_zero

    At best they would have to be modified. For example, one test study guide asserts that even numbers are characterized as integer multiples of two, but zero is "neither even nor odd". [13] Accordingly, the guide's rules for even and odd numbers contain exceptions: even ± even = even (or zero) odd ± odd = even (or zero) even × nonzero integer ...