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  2. Threefold repetition - Wikipedia

    en.wikipedia.org/wiki/Threefold_repetition

    The rule is also known as repetition of position and, in the USCF rules, as triple occurrence of position. [1] Two positions are by definition "the same" if the same types of pieces occupy the same squares, the same player has the move, the remaining castling rights are the same and the possibility to capture en passant is the same.

  3. List of integer sequences - Wikipedia

    en.wikipedia.org/wiki/List_of_integer_sequences

    The length of an interval of consecutive integers with property that every element has a factor in common with one of the endpoints. ... Harshad numbers in base 10 1 ...

  4. Simpson's rules (ship stability) - Wikipedia

    en.wikipedia.org/wiki/Simpson's_rules_(ship...

    Simpson's rules are a set of rules used in ship stability and naval architecture, to calculate the areas and volumes of irregular figures. [1] This is an application of Simpson's rule for finding the values of an integral, here interpreted as the area under a curve.

  5. Positional notation - Wikipedia

    en.wikipedia.org/wiki/Positional_notation

    The first position to the right of the separator indicates 10 −1 (0.1), the second position 102 (0.01), and so on for each successive position. As an example, the number 2674 in a base-10 numeral system is: (2 × 10 3) + (6 × 10 2) + (7 × 10 1) + (4 × 10 0) or (2 × 1000) + (6 × 100) + (7 × 10) + (4 × 1).

  6. Fisher–Yates shuffle - Wikipedia

    en.wikipedia.org/wiki/Fisher–Yates_shuffle

    Tracing successive positions as just mentioned, there is no difference between π and σ until arriving at position k. But then, under π the element originally at position k is moved to the final position rather than to position l, and the element originally at the final position is moved to position l.

  7. List of 24 Hours of Le Mans records - Wikipedia

    en.wikipedia.org/wiki/List_of_24_hours_of_Le...

    Fastest lap (since 1990, pole position) 3:14.791: Kamui Kobayashi with a Toyota TS050 Hybrid in 2017: Fastest lap (until 1989, pole position) 3:13.90: Pedro Rodríguez with a Porsche 917 in 1971: Smallest winning margin: 20 meters: In 1966 between two Ford GT40s [Note 12] Largest winning margin: 349.808 km: In 1927 between a Bentley and a Salmson

  8. Fermat's principle - Wikipedia

    en.wikipedia.org/wiki/Fermat's_principle

    The construction may be repeated in order to find successive positions of the primary wavefront, and successive points on the ray. The ray direction given by this construction is the radial direction of the secondary wavefront, [ 15 ] and may differ from the normal of the secondary wavefront (cf. Fig. 2 ), and therefore from the normal of the ...

  9. Knuth's up-arrow notation - Wikipedia

    en.wikipedia.org/wiki/Knuth's_up-arrow_notation

    The sequence starts with a unary operation (the successor function with n = 0), and continues with the binary operations of addition (n = 1), multiplication (n = 2), exponentiation (n = 3), tetration (n = 4), pentation (n = 5), etc. Various notations have been used to represent hyperoperations.