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  2. Parity (mathematics) - Wikipedia

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

    Cuisenaire rods: 5 (yellow) cannot be evenly divided in 2 (red) by any 2 rods of the same color/length, while 6 (dark green) can be evenly divided in 2 by 3 (lime green). 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]

  3. 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 ...

  4. 52 (number) - Wikipedia

    en.wikipedia.org/wiki/52_(number)

    with an aliquot sum of 46; within an aliquot sequence of seven composite numbers { 52, 46, 26, 16, 15, 9, 4, 3, 1, 0 } to the prime in the 3-aliquot tree. This sequence does not extend above 52 because it is, an untouchable number, since it is never the sum of proper divisors of any number. It is the first untouchable number larger than 2 and 5 ...

  5. Even and odd functions - Wikipedia

    en.wikipedia.org/wiki/Even_and_odd_functions

    The product of two even functions is an even function. 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.

  6. Stock market today: Asian shares mostly dip despite S&P 500 ...

    www.aol.com/stock-market-today-asian-shares...

    The Shanghai Composite shed 0.2% to 3,345.52. ... even though the Federal Reserve began cutting its main interest rate in September in order to ... and the Nasdaq composite gained 14.99 to 20,056. ...

  7. Eating even 2 servings of red meat a week could significantly ...

    www.aol.com/finance/eating-even-2-servings-red...

    Eating more than one serving of red meat per week may significantly increase your risk of developing type 2 diabetes. That’s according to a study published Thursday in The American Journal of ...

  8. Double factorial - Wikipedia

    en.wikipedia.org/wiki/Double_factorial

    In mathematics, the double factorial of a number n, denoted by n‼, is the product of all the positive integers up to n that have the same parity (odd or even) as n. [1] That is, n ! ! = ∏ k = 0 ⌈ n 2 ⌉ − 1 ( n − 2 k ) = n ( n − 2 ) ( n − 4 ) ⋯ . {\displaystyle n!!=\prod _{k=0}^{\left\lceil {\frac {n}{2}}\right\rceil -1}(n-2k ...

  9. Stock market today: Wall Street begins Trump's second term ...

    www.aol.com/stock-market-today-asian-shares...

    All told, the S&P 500 added 52.58 points to 6,049.24. The Dow Jones Industrial Average gained 537.98 to 44,025.81, and the Nasdaq composite rose 126.58 to 19,756.78.

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