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  2. Queen versus rook endgame - Wikipedia

    en.wikipedia.org/wiki/Queen_versus_rook_endgame

    In 1895, Edward Freeborough edited an entire 130-page book of analysis of this endgame, titled The Chess Ending, King & Queen against King & Rook. [4]Because it has only four pieces, queen versus rook was one of the first endings to be solved by endgame tablebases. [1]

  3. Basel problem - Wikipedia

    en.wikipedia.org/wiki/Basel_problem

    The Basel problem is a problem in mathematical analysis with relevance to number theory, concerning an infinite sum of inverse squares.It was first posed by Pietro Mengoli in 1650 and solved by Leonhard Euler in 1734, [1] and read on 5 December 1735 in The Saint Petersburg Academy of Sciences. [2]

  4. Draw (chess) - Wikipedia

    en.wikipedia.org/wiki/Draw_(chess)

    A positional draw is an impasse other than stalemate, where a draw is salvaged despite a big material disadvantage (see Fortress (chess) § Positional draw). A grandmaster draw is a game in which the players quickly agree to a draw after making little or no effort to win (see Draw by agreement § Grandmaster draw).

  5. Lottery mathematics - Wikipedia

    en.wikipedia.org/wiki/Lottery_mathematics

    For example, in the 6 from 49 lottery, given 10 powerball numbers, then the odds of getting a score of 3 and the powerball would be 1 in 56.66 × 10, or 566.6 (the probability would be divided by 10, to give an exact value of ).

  6. Draw by agreement - Wikipedia

    en.wikipedia.org/wiki/Draw_by_agreement

    A game of chess can end in a draw by agreement.A player may offer a draw at any stage of a game; if the opponent accepts, the game is a draw. [1] In some competitions, draws by agreement are restricted; for example draw offers may be subject to the discretion of the arbiter, or may be forbidden before move 30 or 40, or even forbidden altogether.

  7. Three points for a win - Wikipedia

    en.wikipedia.org/wiki/Three_points_for_a_win

    For a four team round robin such as in the group stages of FIFA World Cups, under three points for a win (W3) there are 40 combinations e.g. 9-6-3-0 with each team being able to score from zero up to 9 points (with 8 the only score that cannot be scored), while under 2 points for a win (W2) there are 16 possible combinations of final standings ...

  8. Bresenham's line algorithm - Wikipedia

    en.wikipedia.org/wiki/Bresenham's_line_algorithm

    Plotting the line from (0,1) to (6,4) showing a plot of grid lines and pixels. All of the derivation for the algorithm is done. One performance issue is the 1/2 factor in the initial value of D. Since all of this is about the sign of the accumulated difference, then everything can be multiplied by 2 with no consequence.

  9. Fifty-move rule - Wikipedia

    en.wikipedia.org/wiki/Fifty-move_rule

    The relevant part of the FIDE laws of chess is quoted below: [4]. 9.3 The game is drawn, upon a correct claim by a player having the move, if: 9.3.1 he writes his move, which cannot be changed, on his scoresheet and declares to the arbiter his intention to make this move which will result in the last 50 moves by each player having been made without the movement of any pawn and without any ...