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  2. Farey sequence - Wikipedia

    en.wikipedia.org/wiki/Farey_sequence

    Thus the first term to appear between ⁠ 1 / 3 ⁠ and ⁠ 2 / 5 ⁠ is ⁠ 3 / 8 ⁠, which appears in F 8. The total number of Farey neighbour pairs in F n is 2|F n | − 3. The Stern–Brocot tree is a data structure showing how the sequence is built up from 0 (= ⁠ 0 / 1 ⁠) and 1 (= ⁠ 1 / 1 ⁠), by taking successive mediants.

  3. Number Forms - Wikipedia

    en.wikipedia.org/wiki/Number_Forms

    Number Forms is a Unicode block containing Unicode compatibility characters that have specific meaning as numbers, but are constructed from other characters. They consist primarily of vulgar fractions and Roman numerals. In addition to the characters in the Number Forms block, three fractions (¼, ½, and ¾) were inherited from ISO-8859-1 ...

  4. Fraction - Wikipedia

    en.wikipedia.org/wiki/Fraction

    A simple fraction (also known as a common fraction or vulgar fraction, where vulgar is Latin for "common") is a rational number written as a / b or ⁠ ⁠, where a and b are both integers. [ 9] As with other fractions, the denominator ( b) cannot be zero. Examples include ⁠ 1 2 ⁠, − ⁠ 8 5 ⁠, ⁠ −8 5 ⁠, and ⁠ 85 ⁠.

  5. List of drill and tap sizes - Wikipedia

    en.wikipedia.org/wiki/List_of_drill_and_tap_sizes

    Schematic of a machine tap. Below is a comprehensive drill and tap size chart for all drills and taps, imperial and metric, up to 36.5 millimetres (1.44 in) in diameter.. In manufactured parts, holes with female screw threads are often needed; they accept male screws to facilitate the building and fastening of a finished assembly.

  6. List of floppy disk formats - Wikipedia

    en.wikipedia.org/wiki/List_of_floppy_disk_formats

    Model 1/3/4P 5 1 ⁄ 4 inch Double 2 40 18 256 360 kB MFM Model 4D 8 inch Double 1 77 26 256 500 kB MFM Model 2 3 12 inch Single 1 40 2 1,280 100 kB [28] FM Tandy Portable Disk Drive (aka Brother FB-100, knitking FD-19) 3 12 inch Single 1 80 2 1,280 200 kB [29] FM Used only in Tandy Portable Disk Drive 2 5 1 ⁄ 4 inch Double 1 35 18 ...

  7. Rhind Mathematical Papyrus - Wikipedia

    en.wikipedia.org/wiki/Rhind_Mathematical_Papyrus

    Problems 1–6 compute divisions of a certain number of loaves of bread by 10 men and record the outcome in unit fractions. Problems 7–20 show how to multiply the expressions 1 + 1/2 + 1/4 = 7/4, and 1 + 2/3 + 1/3 = 2 by different fractions. Problems 21–23 are problems in completion, which in modern notation are simply subtraction problems.

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

    en.wikipedia.org/wiki/1/2_%2B_1/4_%2B_1/8_%2B_1/...

    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 ...

  9. Particular values of the gamma function - Wikipedia

    en.wikipedia.org/wiki/Particular_values_of_the...

    Borwein and Zucker [2] have found that () can be expressed algebraically in terms of π, K(k(1)), K(k(2)), K(k(3)), and K(k(6)) where K(k(N)) is a complete elliptic integral of the first kind. This permits efficiently approximating the gamma function of rational arguments to high precision using quadratically convergent arithmetic–geometric ...

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