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  2. 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 ...

  3. Odd and Even - Wikipedia

    en.wikipedia.org/wiki/Odd_and_Even

    Odd and Even is a solitaire card game which is played with two decks of playing cards. It is so called because the building is done in twos, resulting in odd and even numbers. It is so called because the building is done in twos, resulting in odd and even numbers.

  4. Singly and doubly even - Wikipedia

    en.wikipedia.org/wiki/Singly_and_doubly_even

    Singly even numbers are those with ν 2 (n) = 1, i.e., integers of the form 4m + 2. Doubly even numbers are those with ν 2 (n) > 1, i.e., integers of the form 4m. In this terminology, a doubly even number may or may not be divisible by 8, so there is no particular terminology for "triply even" numbers in pure math, although it is used in ...

  5. Odds and evens (hand game) - Wikipedia

    en.wikipedia.org/wiki/Odds_and_evens_(hand_game)

    Even-Odd as an early form of roulette. This game was known by the Greeks (as artiazein) and Romans (as ludere par impar).In the 1858 Krünitzlexikon it says: [3] "The game Odds and Evens was very common amongst the Romans and was played either with tali, tesseris, or money and known as "Alea maior", or with nuts, beans and almonds and known as "Alea minor"."

  6. 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

  7. 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 ...

  8. 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

  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.