WebMar 17, 2009 · set, in mathematics and logic, any collection of objects (elements), which may be mathematical (e.g., numbers and functions) or not. A set is commonly … WebMath explained in easy language, plus puzzles, games, quizzes, videos and worksheets. For K-12 kids, teachers and parents.

6.1: Relations on Sets - Mathematics LibreTexts

A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets. The set with no element is the empty set; a set with a … See more The concept of a set emerged in mathematics at the end of the 19th century. The German word for set, Menge, was coined by Bernard Bolzano in his work Paradoxes of the Infinite. Georg Cantor, … See more If B is a set and x is an element of B, this is written in shorthand as x ∈ B, which can also be read as "x belongs to B", or "x is in B". The statement "y is not an element of B" is written as y ∉ B, which can also be read as "y is not in B". For example, with … See more A singleton set is a set with exactly one element; such a set may also be called a unit set. Any such set can be written as {x}, where x is the element. The set {x} and the element x … See more An Euler diagram is a graphical representation of a collection of sets; each set is depicted as a planar region enclosed by a loop, with its elements inside. If A is a subset of B, then the region representing A is completely inside the region representing B. If … See more Mathematical texts commonly denote sets by capital letters in italic, such as A, B, C. A set may also be called a collection or family, especially when its elements are themselves sets. Roster notation Roster or … See more The empty set (or null set) is the unique set that has no members. It is denoted ∅ or $${\displaystyle \emptyset }$$ or { } or ϕ (or ϕ). See more If every element of set A is also in B, then A is described as being a subset of B, or contained in B, written A ⊆ B, or B ⊇ A. The latter notation may be read B contains A, B includes A, or B is a superset of A. The relationship between sets established by ⊆ is called … See more WebMar 24, 2024 · respectively. Other common notations related to set theory include , which is used to denote the set of maps from to where and are arbitrary sets. For example, an … compare string in shell script

Definition of a Set - UNCG

WebA collection of "things" (objects or numbers, etc). Here is a set of clothing items. Each member is called an element of the set. A set has only one of each member (all members are unique). Example: {1,2,3,4} is the set of counting … WebSet (mathematics) From Wikipedia, the free encyclopedia A set in mathematics is a collection of well defined and distinct objects, considered as an object in its own right. Sets are one of the most fundamental concepts in mathematics. Developed at the end of the 19th century, set WebSep 26, 2015 · In this aspect "set" is as Platonic as "chair" or "number" or "life". Footnotes: This assumes that you take a foundational approach based on set theory. There are … compare string index python