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  2. Mathematical chess problem - Wikipedia

    en.wikipedia.org/wiki/Mathematical_chess_problem

    In chess swap problems, the whites pieces swap with the black pieces. [9] This is done with the pieces' normal legal moves during a game, but alternating turns is not required. For example, a white knight can move twice in a row. Capturing pieces is not allowed. Two such problems are shown below.

  3. Traveling tournament problem - Wikipedia

    en.wikipedia.org/wiki/Traveling_tournament_problem

    The traveling tournament problem (TTP) is a mathematical optimization problem. The question involves scheduling a series of teams such that: Each team plays every other team twice, once at home and once in the other's stadium. No team plays the same opponent in two consecutive weeks.

  4. Kirkman's schoolgirl problem - Wikipedia

    en.wikipedia.org/wiki/Kirkman's_schoolgirl_problem

    Kirkman's schoolgirl problem is a problem in combinatorics proposed by Thomas Penyngton Kirkman in 1850 as Query VI in The Lady's and Gentleman's Diary (pg.48). The problem states: Fifteen young ladies in a school walk out three abreast for seven days in succession: it is required to arrange them daily so that no two shall walk twice abreast. [2]

  5. Nine dots puzzle - Wikipedia

    en.wikipedia.org/wiki/Nine_dots_puzzle

    The "nine dots" puzzle. The puzzle asks to link all nine dots using four straight lines or fewer, without lifting the pen. The nine dots puzzle is a mathematical puzzle whose task is to connect nine squarely arranged points with a pen by four (or fewer) straight lines without lifting the pen or retracing any lines.

  6. Gambler's fallacy - Wikipedia

    en.wikipedia.org/wiki/Gambler's_fallacy

    An example of the gambler's fallacy occurred in a game of roulette at the Monte Carlo Casino on August 18, 1913, when the ball fell in black 26 times in a row. This was an extremely unlikely occurrence: the probability of a sequence of either red or black occurring 26 times in a row is ( ⁠ 18 / 37 ⁠ ) 26-1 or around 1 in 66.6 million ...

  7. Double Is - Wikipedia

    en.wikipedia.org/wiki/Double_is

    The double "is", also known as the double copula, reduplicative copula, or Is-is, [1] [2] is the usage of the word "is" twice in a row (repeated copulae) when only one is necessary. Double is appears largely in spoken English, as in this example: My point is, is that...

  8. Pascal's triangle - Wikipedia

    en.wikipedia.org/wiki/Pascal's_triangle

    The sum of the elements of a single row is twice the sum of the row preceding it. For example, row 0 (the topmost row) has a value of 1, row 1 has a value of 2, row 2 has a value of 4, and so forth. This is because every item in a row produces two items in the next row: one left and one right.

  9. Simplex algorithm - Wikipedia

    en.wikipedia.org/wiki/Simplex_algorithm

    The row containing this element is multiplied by its reciprocal to change this element to 1, and then multiples of the row are added to the other rows to change the other entries in the column to 0. The result is that, if the pivot element is in a row r, then the column becomes the r-th column of the identity matrix