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  2. Odd and Even - Wikipedia

    en.wikipedia.org/wiki/Odd_and_Even

    On the Deuces: 4-6-8-10-Q-A-3-5-7-9-J-K The nine cards in the reserve are all available for play, to be built on the foundations (no building on the reserve). Gaps in the reserve are immediately filled with cards from the wastepile, or if there is no wastepile yet, the stock.

  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. Collatz conjecture - Wikipedia

    en.wikipedia.org/wiki/Collatz_conjecture

    The number is taken to be 'odd' or 'even' according to whether its numerator is odd or even. Then the formula for the map is exactly the same as when the domain is the integers: an 'even' such rational is divided by 2; an 'odd' such rational is multiplied by 3 and then 1 is added.

  5. Parity of a permutation - Wikipedia

    en.wikipedia.org/wiki/Parity_of_a_permutation

    If n > 1, then there are just as many even permutations in S n as there are odd ones; [3] consequently, A n contains n!/2 permutations. (The reason is that if σ is even then (1 2)σ is odd, and if σ is odd then (1 2)σ is even, and these two maps are inverse to each other.) [3] A cycle is even if and only if its length is odd. This follows ...

  6. Singly and doubly even - Wikipedia

    en.wikipedia.org/wiki/Singly_and_doubly_even

    A doubly even number is an integer that is divisible more than once by 2; it is even and its quotient by 2 is also even. The separate consideration of oddly and evenly even numbers is useful in many parts of mathematics, especially in number theory, combinatorics , coding theory (see even codes ), among others.

  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

  8. 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

  9. 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.