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  2. Algebraic fraction - Wikipedia

    en.wikipedia.org/wiki/Algebraic_fraction

    The numerator and denominator are called the terms of the algebraic fraction. A complex fraction is a fraction whose numerator or denominator, or both, contains a fraction. A simple fraction contains no fraction either in its numerator or its denominator. A fraction is in lowest terms if the only factor common to the numerator and the ...

  3. Farey sequence - Wikipedia

    en.wikipedia.org/wiki/Farey_sequence

    In mathematics, the Farey sequence of order n is the sequence of completely reduced fractions, either between 0 and 1, or without this restriction, [ a] which when in lowest terms have denominators less than or equal to n, arranged in order of increasing size. With the restricted definition, each Farey sequence starts with the value 0, denoted ...

  4. Lowest common denominator - Wikipedia

    en.wikipedia.org/wiki/Lowest_common_denominator

    The lowest common denominator of a set of fractions is the lowest number that is a multiple of all the denominators: their lowest common multiple. The product of the denominators is always a common denominator, as in: but it is not always the lowest common denominator, as in: Here, 36 is the least common multiple of 12 and 18.

  5. Stern–Brocot tree - Wikipedia

    en.wikipedia.org/wiki/Stern–Brocot_tree

    For instance, the continued fraction representation of 13 ⁄ 9 is [1;2,4] and its two children are [1;2,5] = 16 ⁄ 11 (the right child) and [1;2,3,2] = 23 ⁄ 16 (the left child). It is clear that for each finite continued fraction expression one can repeatedly move to its parent, and reach the root [1;]= 1 ⁄ 1 of the tree in finitely many ...

  6. Irreducible fraction - Wikipedia

    en.wikipedia.org/wiki/Irreducible_fraction

    An irreducible fraction (or fraction in lowest terms, simplest form or reduced fraction) is a fraction in which the numerator and denominator are integers that have no other common divisors than 1 (and −1, when negative numbers are considered). [1] In other words, a fraction ⁠a b⁠ is irreducible if and only if a and b are coprime, that is ...

  7. Fractional matching - Wikipedia

    en.wikipedia.org/wiki/Fractional_matching

    Definition. Given a graph G = ( V, E ), a fractional matching in G is a function that assigns, to each edge e in E, a fraction f ( e) in [0, 1], such that for every vertex v in V, the sum of fractions of edges adjacent to v is at most 1: [1] A matching in the traditional sense is a special case of a fractional matching, in which the fraction of ...

  8. Fig - Wikipedia

    en.wikipedia.org/wiki/Fig

    The fig is the edible fruit of Ficus carica, a species of small tree in the flowering plant family Moraceae, native to the Mediterranean region, together with western and southern Asia. It has been cultivated since ancient times and is now widely grown throughout the world. [ 3][ 4] Ficus carica is the type species of the genus Ficus ...

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