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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. File:Flag of Morocco.svg - Wikipedia

    en.wikipedia.org/wiki/File:Flag_of_Morocco.svg

    File:Flag of Morocco.svg. Size of this PNG preview of this SVG file: 800 × 533 pixels. Other resolutions: 320 × 213 pixels | 640 × 427 pixels | 1,024 × 683 pixels | 1,280 × 853 pixels | 2,560 × 1,707 pixels. This is a file from the Wikimedia Commons. Information from its description page there is shown below.

  4. Pi - Wikipedia

    en.wikipedia.org/wiki/Pi

    The sample mean of | W 200 | is μ = 56/5, and so 2(200)μ −23.19 is within 0.05 of π. Another way to calculate π using probability is to start with a random walk , generated by a sequence of (fair) coin tosses: independent random variables X k such that X k ∈ {−1,1} with equal probabilities.

  5. Image sensor format - Wikipedia

    en.wikipedia.org/wiki/Image_sensor_format

    In digital photography, the image sensor format is the shape and size of the image sensor . The image sensor format of a digital camera determines the angle of view of a particular lens when used with a particular sensor. Because the image sensors in many digital cameras are smaller than the 24 mm × 36 mm image area of full-frame 35 mm cameras ...

  6. List of fractals by Hausdorff dimension - Wikipedia

    en.wikipedia.org/wiki/List_of_fractals_by...

    2<D<2.3: Pyramid surface: Each triangle is replaced by 6 triangles, of which 4 identical triangles form a diamond based pyramid and the remaining two remain flat with lengths and relative to the pyramid triangles. The dimension is a parameter, self-intersection occurs for values greater than 2.3. [33]

  7. Golden ratio - Wikipedia

    en.wikipedia.org/wiki/Golden_ratio

    The golden ratio is also an algebraic number and even an algebraic integer. It has minimal polynomial. This quadratic polynomial has two roots, and. The golden ratio is also closely related to the polynomial. which has roots and As the root of a quadratic polynomial, the golden ratio is a constructible number.

  8. Minkowski–Bouligand dimension - Wikipedia

    en.wikipedia.org/wiki/Minkowski–Bouligand...

    The digits in the "odd place-intervals", i.e. between digits 2 2n+1 and 2 2n+2 − 1 are not restricted and may take any value. This fractal has upper box dimension 2/3 and lower box dimension 1/3, a fact which may be easily verified by calculating N ( ε ) for ε = 10 − 2 n {\displaystyle \varepsilon =10^{-2^{n}}} and noting that their ...

  9. Coin flipping - Wikipedia

    en.wikipedia.org/wiki/Coin_flipping

    Since the images on the two sides of actual coins are made of raised metal, the toss is likely to slightly favor one face or the other if the coin is allowed to roll on one edge upon landing. Coin spinning is much more likely to be biased than flipping, and conjurers trim the edges of coins so that when spun they usually land on a particular face.