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  2. Set-builder notation - Wikipedia

    en.wikipedia.org/wiki/Set-builder_notation

    Python uses an English-based syntax. Haskell replaces the set-builder's braces with square brackets and uses symbols, including the standard set-builder vertical bar. The same can be achieved in Scala using Sequence Comprehensions, where the "for" keyword returns a list of the yielded variables using the "yield" keyword. [6] Consider these set ...

  3. File:Latex integers.svg - Wikipedia

    en.wikipedia.org/wiki/File:Latex_integers.svg

    This symbol is used for: the set of all integers. the group of integers under addition. the ring of integers. Extracted in Inkscape from the PDF generated with Latex using this code: \documentclass{article} \usepackage{amssymb} \begin{document} \begin{equation} \mathbb{Z} \end{equation} \end{document} Date: 6 March 2023: Source

  4. Mathematical operators and symbols in Unicode - Wikipedia

    en.wikipedia.org/wiki/Mathematical_operators_and...

    The Combining Diacritical Marks for Symbols block contains arrows, dots, enclosures, and overlays for modifying symbol characters. The math subset of this block is U+20D0–U+20DC, U+20E1, U+20E5–U+20E6, and U+20EB–U+20EF.

  5. Subset - Wikipedia

    en.wikipedia.org/wiki/Subset

    In mathematics, a set A is a subset of a set B if all elements of A are also elements of B; B is then a superset of A. It is possible for A and B to be equal; if they are unequal, then A is a proper subset of B. The relationship of one set being a subset of another is called inclusion (or sometimes containment).

  6. Partially ordered set - Wikipedia

    en.wikipedia.org/wiki/Partially_ordered_set

    The set of subsets of a given set (its power set) ordered by inclusion (see Fig. 1). Similarly, the set of sequences ordered by subsequence, and the set of strings ordered by substring. The set of natural numbers equipped with the relation of divisibility. (see Fig. 3 and Fig. 6) The vertex set of a directed acyclic graph ordered by reachability.

  7. List of set identities and relations - Wikipedia

    en.wikipedia.org/wiki/List_of_set_identities_and...

    This article lists mathematical properties and laws of sets, involving the set-theoretic operations of union, intersection, and complementation and the relations of set equality and set inclusion. It also provides systematic procedures for evaluating expressions, and performing calculations, involving these operations and relations.

  8. Element (mathematics) - Wikipedia

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

    In mathematics, an element (or member) of a set is any one of the distinct objects that belong to that set. For example, given a set called A containing the first four positive integers (= {,,,}), one could say that "3 is an element of A", expressed notationally as .

  9. Set (mathematics) - Wikipedia

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

    A set of polygons in an Euler diagram This set equals the one depicted above since both have the very same elements.. In mathematics, a set is a collection of different [1] things; [2] [3] [4] these things are called elements or members of the set and are typically mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other ...