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  2. 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)

  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. 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 ...

  5. Descartes' rule of signs - Wikipedia

    en.wikipedia.org/wiki/Descartes'_rule_of_signs

    The number of positive real roots is at most the number of sign changes in the sequence of polynomial's coefficients (omitting zero coefficients), and the difference between the root count and the sign change count is always even. In particular, when the number of sign changes is zero or one, then there are exactly zero or one positive roots.

  6. Multiplicity (mathematics) - Wikipedia

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

    In prime factorization, the multiplicity of a prime factor is its -adic valuation.For example, the prime factorization of the integer 60 is . 60 = 2 × 2 × 3 × 5, the multiplicity of the prime factor 2 is 2, while the multiplicity of each of the prime factors 3 and 5 is 1.

  7. 12 Tips for Healthy Holiday Eating

    www.aol.com/12-tips-healthy-holiday-eating...

    4. Wait 20 Minutes Before Getting Seconds. ... If you want to sample several desserts, give yourself a small portion of each instead of going back for several rounds.

  8. Village People front man says ‘YMCA’ isn’t a gay ... - AOL

    www.aol.com/village-people-front-man-says...

    The Village People’s lyricist and lead singer has hit out at the “false assumption” that the band’s biggest hit, “YMCA,” is a “gay anthem.” Victor Willis, who headed up the 1970s ...

  9. The Best Things Our Editors Ate This Year - AOL

    www.aol.com/best-things-editors-ate-202209192.html

    "Every table has homemade salsa on it, and I got a tamarind drink that was a great combo of sweet and sour that perfectly offset the warm and cozy stew. It was a perfect meal for a longer pit stop.