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  2. Persistence of a number - Wikipedia

    en.wikipedia.org/wiki/Persistence_of_a_number

    The additive persistence of 2718 is 2: first we find that 2 + 7 + 1 + 8 = 18, and then that 1 + 8 = 9. The multiplicative persistence of 39 is 3, because it takes three steps to reduce 39 to a single digit: 39 → 27 → 14 → 4. Also, 39 is the smallest number of multiplicative persistence 3.

  3. Integer partition - Wikipedia

    en.wikipedia.org/wiki/Integer_partition

    8; 7 + 1; 6 + 2; 5 + 3; 5 + 2 + 1; 4 + 3 + 1; This is a general property. For each positive number, the number of partitions with odd parts equals the number of partitions with distinct parts, denoted by q(n). [8] [9] This result was proved by Leonhard Euler in 1748 [10] and later was generalized as Glaisher's theorem.

  4. Divisibility rule - Wikipedia

    en.wikipedia.org/wiki/Divisibility_rule

    110 ÷ 5 = 22 (The result is the same as the original number divided by 5) If the last digit is 5. 85 (The original number) 8 5 (Take the last digit of the number, and check if it is 0 or 5) 8 5 (If it is 5, take the remaining digits, discarding the last) 8 × 2 = 16 (Multiply the result by 2) 16 + 1 = 17 (Add 1 to the result)

  5. Singly and doubly even - Wikipedia

    en.wikipedia.org/wiki/Singly_and_doubly_even

    This 4-fold and 8-fold periodicity in the structure of manifolds is related to the 4-fold periodicity of L-theory and the 8-fold periodicity of real topological K-theory, which is known as Bott periodicity. If a compact oriented smooth spin manifold has dimension n ≡ 4 mod 8, or ν 2 (n) = 2 exactly, then its signature is an integer multiple ...

  6. Multiplicity (mathematics) - Wikipedia

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

    This means that 1 is a root of multiplicity 2, and −4 is a simple root (of multiplicity 1). The multiplicity of a root is the number of occurrences of this root in the complete factorization of the polynomial, by means of the fundamental theorem of algebra.

  7. Michigan QB Davis Warren suffered torn right ACL in ... - AOL

    www.aol.com/sports/michigan-qb-davis-warren...

    — Davis Warren (@1daviswarren2) January 4, 2025 Warren was Michigan’s starter for most of the season as the Wolverines finished 2024 8-5 with consecutive wins over Ohio State and Alabama.

  8. Christina Haack Shares Crying Photo from 'Flip Off' Set After ...

    www.aol.com/lifestyle/christina-haack-shares...

    Christina Haack is sharing the aftermath of a fight with Josh Hall on The Flip Off after he claimed it was "manufactured drama.". The Christina on the Coast star, 41, took to her Instagram Stories ...

  9. Asymptote - Wikipedia

    en.wikipedia.org/wiki/Asymptote

    An oblique asymptote has a slope that is non-zero but finite, such that the graph of the function approaches it as x tends to +∞ or −∞. More generally, one curve is a curvilinear asymptote of another (as opposed to a linear asymptote ) if the distance between the two curves tends to zero as they tend to infinity, although the term ...