element of a set

  • 1set theory — the branch of mathematics that deals with relations between sets. [1940 45] * * * Branch of mathematics that deals with the properties of sets. It is most valuable as applied to other areas of mathematics, which borrow from and adapt its… …

    Universalium

  • 2Set notation — Sets are fundamental objects in mathematics. Intuitively, a set is merely a collection of elements or members . There are various conventions for textually denoting sets. In any particular situation, an author typically chooses from among these… …

    Wikipedia

  • 3Set (mathematics) — This article gives an introduction to what mathematicians call intuitive or naive set theory; for a more detailed account see Naive set theory. For a rigorous modern axiomatic treatment of sets, see Set theory. The intersection of two sets is… …

    Wikipedia

  • 4Set theory (music) — Example of Z relation on two pitch sets analyzable as or derivable from Z17 (Schuijer 2008, p.99), with intervals between pitch classes labeled for ease of comparison between the two sets and their common interval vector, 212320. Musical set… …

    Wikipedia

  • 5Element (category theory) — In category theory, the concept of an element, or a point, generalizes the more usual set theoretic concept of an element of a set to an object of any category. This idea often allows to restate definitions or properties of morphisms (such as… …

    Wikipedia

  • 6Set splitting — is a logical NP Complete problem which is defined as follows::: Instance : A finite set S and a collection C of finite subsets of S ;:: Query : Can the elements of S be colored with two colors, say red and green, so that no set X ∈ C has all… …

    Wikipedia

  • 7Set packing — is a classical NP complete problem in computational complexity theory and combinatorics, and was one of Karp s 21 NP complete problems. Suppose we have a finite set S and a list of subsets of S. Then, the set packing problem asks if some k… …

    Wikipedia

  • 8Element Six — Type Privately held company Industry manufacturing and distribution of superhard material solutions Founded 1946 …

    Wikipedia

  • 9Element (mathematiques) — Élément (mathématiques) Pour les articles homonymes, voir élément. En mathématiques, un ensemble est constitué d objets appelés éléments de cet ensemble, on dit également qu un tel objet appartient à l ensemble en question[Note 1]. On note x ∈ M… …

    Wikipédia en Français

  • 10element — el·e·ment n: one of the constituent parts (as a particular act, a mental state, or an attendant circumstance) of a crime as defined by statute that the prosecution must prove to win a conviction Merriam Webster’s Dictionary of Law. Merriam… …

    Law dictionary