Global Information Lookup Global Information

List of set identities and relations information


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.

The binary operations of set union () and intersection () satisfy many identities. Several of these identities or "laws" have well established names.

and 22 Related for: List of set identities and relations information

Request time (Page generated in 1.133 seconds.)

List of set identities and relations

Last Update:

properties and laws of sets, involving the set-theoretic operations of union, intersection, and complementation and the relations of set equality and set inclusion...

Word Count : 29850

List of mathematical identities

Last Update:

calculus identities List of inequalities List of set identities and relations – Equalities for combinations of sets A Collection of Algebraic Identities Matrix...

Word Count : 175

Algebra of sets

Last Update:

sets, the set-theoretic operations of union, intersection, and complementation and the relations of set equality and set inclusion. It also provides systematic...

Word Count : 1865

Clopen set

Last Update:

displaying wikidata descriptions as a fallback List of set identities and relations – Equalities for combinations of sets Munkres 2000, p. 91. Bartle, Robert G...

Word Count : 785

List of set theory topics

Last Update:

sharp Glossary of set theory List of large cardinal properties List of properties of sets of reals List of set identities and relations Wilhelm Ackermann...

Word Count : 448

List of trigonometric identities

Last Update:

these are identities involving certain functions of one or more angles. They are distinct from triangle identities, which are identities potentially...

Word Count : 12166

Symmetric difference

Last Update:

Exclusive or Fuzzy set Intersection (set theory) Jaccard index List of set identities and relations Logical graph Separable sigma algebras Set theory Symmetry...

Word Count : 2441

List of inequalities

Last Update:

inequality Tsirelson's inequality Comparison theorem List of mathematical identities Lists of mathematics topics List of set identities and relations...

Word Count : 709

List of types of sets

Last Update:

Hyperarithmetical set Analytical set Analytic set, Coanalytic set Suslin set Projective set Inhabited set Multiset List of set identities and relations – Equalities...

Word Count : 130

Naive set theory

Last Update:

Algebra of sets Axiomatic set theory Internal set theory List of set identities and relations Set theory Set (mathematics) Partially ordered set "Earliest...

Word Count : 4715

Saturated set

Last Update:

map) if and only if the same is true of f : ( X , τ f ) → Y . {\displaystyle f:\left(X,\tau _{f}\right)\to Y.} List of set identities and relations – Equalities...

Word Count : 1154

Lists of mathematics topics

Last Update:

of trigonometry List of trigonometric identities List of logarithmic identities List of integrals of logarithmic functions List of set identities and...

Word Count : 2591

Disjoint union

Last Update:

List of set identities and relations – Equalities for combinations of sets Partition of a set – Mathematical ways to group elements of a set Sum type –...

Word Count : 1205

Simple theorems in the algebra of sets

Last Update:

{}; A ∩ B ⊆ A ⊆ A ∪ B. List of set identities and relations – Equalities for combinations of sets Edward Huntington (1904) "Sets of independent postulates...

Word Count : 545

Identity element

Last Update:

be a set S equipped with a binary operation ∗. Then an element e of S is called a left identity if e ∗ s = s for all s in S, and a right identity if s...

Word Count : 737

List of historical films set in Near Eastern and Western civilization

Last Update:

films set in Asia. Film portal History portal Lists of historical films List of war films and TV specials List of World War II films List of films set in...

Word Count : 567

Binary relation

Last Update:

of sets. Beyond that, operations like the converse of a relation and the composition of relations are available, satisfying the laws of a calculus of...

Word Count : 8932

Algebraic structure

Last Update:

A (typically binary operations such as addition and multiplication), and a finite set of identities, known as axioms, that these operations must satisfy...

Word Count : 2684

Set theory

Last Update:

operations on sets. The following is a partial list of them: Union of the sets A and B, denoted A ∪ B, is the set of all objects that are a member of A, or B...

Word Count : 5021

Venn diagram

Last Update:

diagram, also called a set diagram or logic diagram, shows all possible logical relations between a finite collection of different sets. These diagrams depict...

Word Count : 3135

Identity formation

Last Update:

in the eyes of others and themselves. Identities are formed on many levels. The micro-level is self-definition, relations with people, and issues as seen...

Word Count : 4978

Simplicial set

Last Update:

consistency relations among the maps dn,i and sn,i. Rather than requiring these simplicial identities explicitly as part of the definition, the short and elegant...

Word Count : 3327

PDF Search Engine © AllGlobal.net