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  2. Collatz conjecture - Wikipedia

    en.wikipedia.org/wiki/Collatz_conjecture

    For instance, the first counterexample must be odd because f(2n) = n, smaller than 2n; and it must be 3 mod 4 because f 2 (4n + 1) = 3n + 1, smaller than 4n + 1. For each starting value a which is not a counterexample to the Collatz conjecture, there is a k for which such an inequality holds, so checking the Collatz conjecture for one starting ...

  3. 1 + 2 + 3 + 4 + ⋯ - Wikipedia

    en.wikipedia.org/wiki/1_%2B_2_%2B_3_%2B_4_%2B_%E...

    The partial sums of the series 1 + 2 + 3 + 4 + 5 + 6 + ⋯ are 1, 3, 6, 10, 15, etc.The nth partial sum is given by a simple formula: = = (+). This equation was known ...

  4. Take 20% Off Raycon Earbuds, Headphones and Speakers ... - AOL

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    These Basic Earbuds. The Work Earbuds Classic. Raycon. For everyday wear that’s easy to take in and out, these buds are the perfect pick! See it! Get The Work Earbuds Classic (originally $120 ...

  5. Dividing a circle into areas - Wikipedia

    en.wikipedia.org/wiki/Dividing_a_circle_into_areas

    In geometry, the problem of dividing a circle into areas by means of an inscribed polygon with n sides in such a way as to maximise the number of areas created by the edges and diagonals, sometimes called Moser 's circle problem, has a solution by an inductive method. The greatest possible number of regions, rG = , giving the sequence 1, 2, 4 ...

  6. Amazon is responsible for hazardous items sold by third-party ...

    www.aol.com/news/amazon-responsible-hazardous...

    July 30, 2024 at 1:55 PM. Amazon is responsible under federal safety law for hazardous products sold on its platform by third-party sellers and shipped by the company, a U.S. government agency ...

  7. Additive rhythm and divisive rhythm - Wikipedia

    en.wikipedia.org/wiki/Additive_rhythm_and...

    In music, the terms additive and divisive are used to distinguish two types of both rhythm and meter : A divisive (or, alternately, multiplicative) rhythm is a rhythm in which a larger period of time is divided into smaller rhythmic units or, conversely, some integer unit is regularly multiplied into larger, equal units. 8.

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