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  2. Collatz conjecture - Wikipedia

    en.wikipedia.org/wiki/Collatz_conjecture

    For any integer n, n ≡ 1 (mod 2) if and only if 3n + 14 (mod 6). Equivalently, ⁠ n − 1 / 3 ⁠ ≡ 1 (mod 2) if and only if n ≡ 4 (mod 6). Conjecturally, this inverse relation forms a tree except for the 124 loop (the inverse of the 421 loop of the unaltered function f defined in the Statement of the problem section of ...

  3. Balmer series - Wikipedia

    en.wikipedia.org/wiki/Balmer_series

    The Rydberg constant is seen to be equal to ⁠ 4 / B ⁠ in Balmer's formula, and this value, for an infinitely heavy nucleus, is ⁠ 4 / 3.645 0682 × 10 −7 m ⁠ = 10 973 731.57 m −1. [ 3 ] Role in astronomy

  4. Rate of convergence - Wikipedia

    en.wikipedia.org/wiki/Rate_of_convergence

    [1] [3] [4] Other more technical rate definitions are needed if the sequence converges but | + | | | = [5] or the limit does not exist. [1] This definition is technically called Q-convergence, short for quotient-convergence, and the rates and orders are called rates and orders of Q-convergence when that technical specificity is needed.

  5. Sample size determination - Wikipedia

    en.wikipedia.org/wiki/Sample_size_determination

    This is the smallest value for which we care about observing a difference. Now, for (1) to reject H 0 with a probability of at least 1 − β when H a is true (i.e. a power of 1 − β), and (2) reject H 0 with probability α when H 0 is true, the following is necessary: If z α is the upper α percentage point of the standard normal ...

  6. Social media reach - Wikipedia

    en.wikipedia.org/wiki/Social_media_reach

    Social media reach is a media analytics metric that refers to the number of users who have come across a particular content on a particular social media platform. [1] Social media platforms have their own individual ways of tracking, analyzing and reporting the traffic on each of the individual platforms.

  7. 1 + 2 + 3 + 4 + ⋯ - ⋯ - Wikipedia

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

    The first six triangular numbers. 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

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  9. Reach (advertising) - Wikipedia

    en.wikipedia.org/wiki/Reach_(advertising)

    Reach can be expressed as a number of people in a population exposed to an advertisement, or as a percent of the population. [1] For example, in the UK, BARB defines the reach of a television channel as the percentage of the population in private households who view a channel for more than 3 minutes in a given day or week. [2]