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  2. Zukertort Opening - Wikipedia

    en.wikipedia.org/wiki/Zukertort_Opening

    1. Nf3. Sometimes the name "Réti Opening" is used for the opening move 1.Nf3, [1] although most sources define the Réti more narrowly as the sequence 1.Nf3 d5 2.c4. [2] A flank opening, it is the third most popular of the twenty legal opening moves White has, behind only 1.e4 and 1.d4. [3] [4] [5]

  3. Barnes Opening - Wikipedia

    en.wikipedia.org/wiki/Barnes_Opening

    The Barnes Opening (sometimes called Gedult's Opening) is a chess opening where White opens with: . 1. f3. The opening is named after Thomas Wilson Barnes (1825–1874), an English player who had an impressive [1] eight wins over Paul Morphy, including one game where Barnes answered 1.e4 with 1...f6, known as the Barnes Defence.

  4. Floor and ceiling functions - Wikipedia

    en.wikipedia.org/wiki/Floor_and_ceiling_functions

    In mathematics, the floor function is the function that takes as input a real number x, and gives as output the greatest integer less than or equal to x, denoted ⌊x⌋ or floor(x). Similarly, the ceiling function maps x to the least integer greater than or equal to x, denoted ⌈x⌉ or ceil(x). [1]

  5. Finite field - Wikipedia

    en.wikipedia.org/wiki/Finite_field

    In mathematics, a finite field or Galois field (so-named in honor of Évariste Galois) is a field that contains a finite number of elements.As with any field, a finite field is a set on which the operations of multiplication, addition, subtraction and division are defined and satisfy certain basic rules.

  6. Group (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Group_(mathematics)

    The manipulations of the Rubik's Cube form the Rubik's Cube group.. In mathematics, a group is a set with an operation that associates an element of the set to every pair of elements of the set (as does every binary operation) and satisfies the following constraints: the operation is associative, it has an identity element, and every element of the set has an inverse element.

  7. Three-body problem - Wikipedia

    en.wikipedia.org/wiki/Three-body_problem

    In Propositions 25 to 35 of Book 3, Newton also took the first steps in applying his results of Proposition 66 to the lunar theory, the motion of the Moon under the gravitational influence of Earth and the Sun. [29] Later, this problem was also applied to other planets' interactions with the Earth and the Sun. [28]