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  2. Lexicographic order - Wikipedia

    en.wikipedia.org/wiki/Lexicographic_order

    In mathematics, the lexicographic or lexicographical order (also known as lexical order, or dictionary order) is a generalization of the alphabetical order of the dictionaries to sequences of ordered symbols or, more generally, of elements of a totally ordered set . There are several variants and generalizations of the lexicographical ordering.

  3. Partially ordered set - Wikipedia

    en.wikipedia.org/wiki/Partially_ordered_set

    In mathematics, especially order theory, a partial order on a set is an arrangement such that, for certain pairs of elements, one precedes the other. The word partial is used to indicate that not every pair of elements needs to be comparable; that is, there may be pairs for which neither element precedes the other.

  4. Order of operations - Wikipedia

    en.wikipedia.org/wiki/Order_of_operations

    Order of operations. In mathematics and computer programming, the order of operations is a collection of rules that reflect conventions about which operations to perform first in order to evaluate a given mathematical expression . These rules are formalized with a ranking of the operations. The rank of an operation is called its precedence, and ...

  5. Lattice (order) - Wikipedia

    en.wikipedia.org/wiki/Lattice_(order)

    e. A lattice is an abstract structure studied in the mathematical subdisciplines of order theory and abstract algebra. It consists of a partially ordered set in which every pair of elements has a unique supremum (also called a least upper bound or join) and a unique infimum (also called a greatest lower bound or meet ).

  6. FOIL method - Wikipedia

    en.wikipedia.org/wiki/FOIL_method

    In elementary algebra, FOIL is a mnemonic for the standard method of multiplying two binomials [1] —hence the method may be referred to as the FOIL method. The word FOIL is an acronym for the four terms of the product: The general form is. Note that a is both a "first" term and an "outer" term; b is both a "last" and "inner" term, and so forth.

  7. Dihedral group of order 6 - Wikipedia

    en.wikipedia.org/wiki/Dihedral_group_of_order_6

    Dihedral group of order 6. (The generators a and b are the same as in the Cayley graph shown above.) Only the neutral elements are symmetric to the main diagonal, so this group is not abelian. In mathematics, D3 (sometimes alternatively denoted by D6) is the dihedral group of degree 3 and order 6.

  8. Object–subject word order - Wikipedia

    en.wikipedia.org/wiki/Object–subject_word_order

    Linguistic typology. In linguistic typology , object–subject (OS) word order, also called O-before-S or patient–agent word order , is a word order in which the object appears before the subject. OS is notable for its statistical rarity as a default or predominant word order among natural languages. [1] Languages with predominant OS word ...

  9. Order (group theory) - Wikipedia

    en.wikipedia.org/wiki/Order_(group_theory)

    In mathematics, the order of a finite group is the number of its elements. If a group is not finite, one says that its order is infinite. The order of an element of a group (also called period length or period) is the order of the subgroup generated by the element. If the group operation is denoted as a multiplication, the order of an element a ...

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