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  2. AOL Mail

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    You can find instant answers on our AOL Mail help page. Should you need additional assistance we have experts available around the clock at 800-730-2563.

  3. 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 ...

  4. Natural logarithm of 2 - Wikipedia

    en.wikipedia.org/wiki/Natural_logarithm_of_2

    The decimal value of the natural logarithm of 2 (sequence A002162 in the OEIS ) is approximately. The logarithm of 2 in other bases is obtained with the formula. The common logarithm in particular is ( OEIS : A007524 ) The inverse of this number is the binary logarithm of 10: ( OEIS : A020862 ). By the Lindemann–Weierstrass theorem, the ...

  5. n-gram - Wikipedia

    en.wikipedia.org/wiki/N-gram

    n. -gram. An n-gram is a sequence of n adjacent symbols in particular order. The symbols may be n adjacent letters (including punctuation marks and blanks), syllables, or rarely whole words found in a language dataset; or adjacent phonemes extracted from a speech-recording dataset, or adjacent base pairs extracted from a genome.

  6. Nextmug review: Finally, a self-heating Ember Mug ... - AOL

    www.aol.com/lifestyle/nextmug-review-finally...

    Nextmug promises up to 40 minutes of heating on the "piping" setting, 1.2 hours on "hot" and 1.4 hours on "warm." Ember will commit only to "up to 80 minutes." (Remember, these aren't travel mugs ...

  7. 1/2 + 1/4 + 1/8 + 1/16 + ⋯ - Wikipedia

    en.wikipedia.org/.../8_%2B_1/16_%2B_%E2%8B%AF

    1/2 + 1/4 + 1/8 + 1/16 + ⋯. First six summands drawn as portions of a square. The geometric series on the real line. In mathematics, the infinite series ⁠ 1 2 ⁠ + ⁠ 1 4 ⁠ + ⁠ 1 8 ⁠ + ⁠ 1 16 ⁠ + ··· is an elementary example of a geometric series that converges absolutely. The sum of the series is 1. In summation notation ...

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