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  2. Collatz conjecture - Wikipedia

    en.wikipedia.org/wiki/Collatz_conjecture

    As an illustration of this, the parity cycle (1 1 0 0 1 1 0 0) and its sub-cycle (1 1 0 0) are associated to the same fraction ⁠ 5 / 7 ⁠ when reduced to lowest terms. In this context, assuming the validity of the Collatz conjecture implies that (1 0) and (0 1) are the only parity cycles generated by positive whole numbers (1 and 2 ...

  3. 2 + 2 = 5 (song) - Wikipedia

    en.wikipedia.org/wiki/2_+_2_=_5_(song)

    2 + 2 = 5 (song) " 2 + 2 = 5 " is a song by the English rock band Radiohead. It is the opening track to their sixth studio album, Hail to the Thief (2003), and was released as the album's third and final single. It reached number two on the Canadian Singles Chart, number 12 on the Italian Singles Chart, and number 15 on the UK Singles Chart.

  4. Hydrocortisone - Wikipedia

    en.wikipedia.org/wiki/Hydrocortisone

    The peak level of oral hydrocortisone is 15.3 ± 2.9 (SD) μg/L per 1 mg dose. [11] The time to peak concentrations of oral hydrocortisone is 1.2 ± 0.4 (SD) hours. [11] The topical percutaneous absorption of hydrocortisone varies widely depending on experimental circumstances and has been reported to range from 0.5 to 14.9% in different ...

  5. Catalan number - Wikipedia

    en.wikipedia.org/wiki/Catalan_number

    The only Catalan numbers Cn that are odd are those for which n = 2k − 1; all others are even. The only prime Catalan numbers are C2 = 2 and C3 = 5. [1] The Catalan numbers have the integral representations [2] [3] which immediately yields . This has a simple probabilistic interpretation.

  6. Keys, glasses, and the other most frequently lost items in ...

    www.aol.com/keys-glasses-other-most-frequently...

    These are the items Americans lose most. Perhaps unsurprisingly, the most commonly lost items were also among the most ubiquitous and important: phones and keys. Most people don't leave home ...

  7. Birthday problem - Wikipedia

    en.wikipedia.org/wiki/Birthday_problem

    The birthday problem in this more generic sense applies to hash functions: the expected number of N-bit hashes that can be generated before getting a collision is not 2 N, but rather only 2 N ⁄ 2. This is exploited by birthday attacks on cryptographic hash functions and is the reason why a small number of collisions in a hash table are, for ...

  8. 2 + 2 = 5 - Wikipedia

    en.wikipedia.org/wiki/2_+_2_=_5

    As a theme and as a subject in the arts, the anti-intellectual slogan 2 + 2 = 5 pre-dates Orwell and has produced literature, such as Deux et deux font cinq (Two and Two Make Five), written in 1895 by Alphonse Allais, which is a collection of absurdist short stories; [1] and the 1920 imagist art manifesto 2 × 2 = 5 by the poet Vadim Shershenevich.

  9. ii–V–I progression - Wikipedia

    en.wikipedia.org/wiki/Ii–V–I_progression

    The ii–V–I progression ("two–five–one progression") (occasionally referred to as ii–V–I turnaround, and ii–V–I) is a common cadential chord progression used in a wide variety of music genres, including jazz harmony. It is a succession of chords whose roots descend in fifths from the second degree ( supertonic) to the fifth ...