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  2. Five points determine a conic - Wikipedia

    en.wikipedia.org/wiki/Five_points_determine_a_conic

    Similarly, three points determine a 2-dimensional linear system (net), two points determine a 3-dimensional linear system (web), one point determines a 4-dimensional linear system, and zero points place no constraints on the 5-dimensional linear system of all conics. The Apollonian circles are two 1-parameter families determined by 2 points.

  3. List of NASCAR points scoring systems - Wikipedia

    en.wikipedia.org/wiki/List_of_NASCAR_points...

    Between rank 1 and 6, starting with 175 to the winner, there were 5 points gaps, between rank 6 and 11 were 4 points gaps and below rank 11 were 3 points gaps respectively. In the point scoring system there were points down to 54th place.

  4. Three points for a win - Wikipedia

    en.wikipedia.org/wiki/Three_points_for_a_win

    W3 7-4-3-1 would be W2 5-3-3-1. Looking at the middle two teams, W3 2nd (1 win, 1 loss & 1 draw) rank above W3 3rd (3 draws and therefore had a goal difference = 0). Under W2 these two teams are equal on 3 points and their rank is based on goal difference and other ranking criteria.

  5. 2014 UEFA Women's Under-17 Championship qualification

    en.wikipedia.org/wiki/2014_UEFA_Women's_Under-17...

    Tie-breakers between teams with the same number of points are: [1] ... 2 +11 9 Greece: 3 1 1 1 5 4 +1 4 ... The following criteria are applied to determine the ...

  6. 2025 U-17 Africa Cup of Nations - Wikipedia

    en.wikipedia.org/wiki/2025_U-17_Africa_Cup_of...

    Teams will be ranked according to the three points for a win system (3 points for a win, 1 for a draw, 0 points for a loss), and if tied on points, the following tiebreaking criteria are applied, in the order given, to determine the rankings: Points in head-to-head matches among tied teams; Goal difference in head-to-head matches among tied teams;

  7. Coplanarity - Wikipedia

    en.wikipedia.org/wiki/Coplanarity

    For example, three points are always coplanar, and if the points are distinct and non-collinear, the plane they determine is unique. However, a set of four or more distinct points will, in general, not lie in a single plane. An example of coplanar points. Two lines in three-dimensional space are coplanar if there is a plane that includes them both.

  8. Cycles and fixed points - Wikipedia

    en.wikipedia.org/wiki/Cycles_and_fixed_points

    G has 2 fixed points, 1 2-cycle and 3 4-cycles B has 4 fixed points and 6 2-cycles GB has 2 fixed points and 2 7-cycles P * (1,2,3,4) T = (4,1,3,2) T Permutation of four elements with 1 fixed point and 1 3-cycle. In mathematics, the cycles of a permutation π of a finite set S correspond bijectively to the orbits of the subgroup generated by π ...

  9. Hand evaluation - Wikipedia

    en.wikipedia.org/wiki/Hand_evaluation

    W E ♠ K 10 3 ♥ A Q ♥ K J 9 4 ♦ K Q 3 2 ♦ A J ♣ A 4 3 ♣ 8 7 6 5 ♠ A Q J W E ♠ K 10 3 ♥ A Q 3 2 ♥ K J 9 4 ♦ K Q ♦ A J ♣ A 4 3 2 ♣ 8 7 6 5 Both East hands are exactly the same, and both West hands have the same shape, the same HCP count, and the same high cards. The only difference between the West hands is that two low red cards and one low black card have been ...