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2. List of order structures in mathematics - Wikipedia

   en.wikipedia.org/wiki/List_of_order_structures...

   Lattices, partial orders in which each pair of elements has a greatest lower bound and a least upper bound. Many different types of lattice have been studied; see map of lattices for a list. Partially ordered sets (or posets ), orderings in which some pairs are comparable and others might not be

3. Ordered pair - Wikipedia

   en.wikipedia.org/wiki/Ordered_pair

   Ordered pairs of scalars are sometimes called 2-dimensional vectors. (Technically, this is an abuse of terminology since an ordered pair need not be an element of a vector space.) The entries of an ordered pair can be other ordered pairs, enabling the recursive definition of ordered n-tuples (ordered lists of n objects).

4. Relation (mathematics) - Wikipedia

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

   For example, on the natural numbers, < is connected, while "is a divisor of " is not (e.g. neither 5R7 nor 7R5). Strongly connected for all x, y ∈ X, xRy or yRx. For example, on the natural numbers, ≤ is strongly connected, but < is not. A relation is strongly connected if, and only if, it is connected and reflexive.

5. Abscissa and ordinate - Wikipedia

   en.wikipedia.org/wiki/Abscissa_and_ordinate

   Cartesian plane with marked points (signed ordered pairs of coordinates). For any point, the abscissa is the first value (x coordinate), and the ordinate is the second value (y coordinate). In mathematics , the abscissa ( / æ b ˈ s ɪ s . ə / ; plural abscissae or abscissas ) and the ordinate are respectively the first and second coordinate ...

6. Order (mathematics) - Wikipedia

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

   Dense order, a total order wherein between any unequal pair of elements there is always an intervening element in the order; Glossary of order theory; Lexicographical order, an ordering method on sequences analogous to alphabetical order on words; List of order topics, list of order theory topics

7. Integer - Wikipedia

   en.wikipedia.org/wiki/Integer

   The integers can thus be formally constructed as the equivalence classes of ordered pairs of natural numbers (a,b). [38] The intuition is that (a,b) stands for the result of subtracting b from a. [38] To confirm our expectation that 1 − 2 and 4 − 5 denote the same number, we define an equivalence relation ~ on these pairs with the following ...