Faster access than browser!
35 relations: Associative property, Axiom schema of replacement, Cardinality, Commutative property, Complement (set theory), De Morgan's laws, Empty set, Graduate Texts in Mathematics, Identity element, If and only if, Index set, Infinite product, Inhabited set, Intersection graph, Iterated binary operation, List of mathematical symbols, Logical conjunction, Mathematics, MinHash, Multiple (mathematics), Naive set theory, Natural number, Parity (mathematics), Power set, Prime number, Set (mathematics), Set theory, Set-builder notation, Sigma-algebra, Symmetric difference, Union (set theory), Universal quantification, Universal set, Vacuous truth, Zermelo–Fraenkel set theory.
Associative property
In mathematics, the associative property is a property of some binary operations.
New!!: Intersection (set theory) and Associative property · See more »
Axiom schema of replacement
In set theory, the axiom schema of replacement is a schema of axioms in Zermelo–Fraenkel set theory (ZF) that asserts that the image of any set under any definable mapping is also a set.
New!!: Intersection (set theory) and Axiom schema of replacement · See more »
Cardinality
In mathematics, the cardinality of a set is a measure of the "number of elements of the set".
New!!: Intersection (set theory) and Cardinality · See more »
Commutative property
In mathematics, a binary operation is commutative if changing the order of the operands does not change the result.
New!!: Intersection (set theory) and Commutative property · See more »
Complement (set theory)
In set theory, the complement of a set refers to elements not in.
New!!: Intersection (set theory) and Complement (set theory) · See more »
De Morgan's laws
In propositional logic and boolean algebra, De Morgan's laws are a pair of transformation rules that are both valid rules of inference.
New!!: Intersection (set theory) and De Morgan's laws · See more »
Empty set
In mathematics, and more specifically set theory, the empty set or null set is the unique set having no elements; its size or cardinality (count of elements in a set) is zero.
New!!: Intersection (set theory) and Empty set · See more »
Graduate Texts in Mathematics
Graduate Texts in Mathematics (GTM) (ISSN 0072-5285) is a series of graduate-level textbooks in mathematics published by Springer-Verlag.
New!!: Intersection (set theory) and Graduate Texts in Mathematics · See more »
Identity element
In mathematics, an identity element or neutral element is a special type of element of a set with respect to a binary operation on that set, which leaves other elements unchanged when combined with them.
New!!: Intersection (set theory) and Identity element · See more »
If and only if
In logic and related fields such as mathematics and philosophy, if and only if (shortened iff) is a biconditional logical connective between statements.
New!!: Intersection (set theory) and If and only if · See more »
Index set
In mathematics, an index set is a set whose members label (or index) members of another set.
New!!: Intersection (set theory) and Index set · See more »
Infinite product
In mathematics, for a sequence of complex numbers a1, a2, a3,...
New!!: Intersection (set theory) and Infinite product · See more »
Inhabited set
In constructive mathematics, a set A is inhabited if there exists an element a\in A. In classical mathematics, this is the same as the set being nonempty; however, this equivalence is not valid in intuitionistic logic.
New!!: Intersection (set theory) and Inhabited set · See more »
Intersection graph
In the mathematical area of graph theory, an intersection graph is a graph that represents the pattern of intersections of a family of sets.
New!!: Intersection (set theory) and Intersection graph · See more »
Iterated binary operation
In mathematics, an iterated binary operation is an extension of a binary operation on a set S to a function on finite sequences of elements of S through repeated application.
New!!: Intersection (set theory) and Iterated binary operation · See more »
List of mathematical symbols
This is a list of symbols used in all branches of mathematics to express a formula or to represent a constant.
New!!: Intersection (set theory) and List of mathematical symbols · See more »
Logical conjunction
In logic, mathematics and linguistics, And (∧) is the truth-functional operator of logical conjunction; the and of a set of operands is true if and only if all of its operands are true.
New!!: Intersection (set theory) and Logical conjunction · See more »
Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
New!!: Intersection (set theory) and Mathematics · See more »
MinHash
In computer science and data mining, MinHash (or the min-wise independent permutations locality sensitive hashing scheme) is a technique for quickly estimating how similar two sets are.
New!!: Intersection (set theory) and MinHash · See more »
Multiple (mathematics)
In science, a multiple is the product of any quantity and an integer.
New!!: Intersection (set theory) and Multiple (mathematics) · See more »
Naive set theory
Naïve set theory is any of several theories of sets used in the discussion of the foundations of mathematics.
New!!: Intersection (set theory) and Naive set theory · See more »
Natural number
In mathematics, the natural numbers are those used for counting (as in "there are six coins on the table") and ordering (as in "this is the third largest city in the country").
New!!: Intersection (set theory) and Natural number · See more »
Parity (mathematics)
In mathematics, parity is the property of an integer's inclusion in one of two categories: even or odd.
New!!: Intersection (set theory) and Parity (mathematics) · See more »
Power set
In mathematics, the power set (or powerset) of any set is the set of all subsets of, including the empty set and itself, variously denoted as, 𝒫(), ℘() (using the "Weierstrass p"),,, or, identifying the powerset of with the set of all functions from to a given set of two elements,.
New!!: Intersection (set theory) and Power set · See more »
Prime number
A prime number (or a prime) is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers.
New!!: Intersection (set theory) and Prime number · See more »
Set (mathematics)
In mathematics, a set is a collection of distinct objects, considered as an object in its own right.
New!!: Intersection (set theory) and Set (mathematics) · See more »
Set theory
Set theory is a branch of mathematical logic that studies sets, which informally are collections of objects.
New!!: Intersection (set theory) and Set theory · See more »
Set-builder notation
In set theory and its applications to logic, mathematics, and computer science, set-builder notation is a mathematical notation for describing a set by enumerating its elements or stating the properties that its members must satisfy.
New!!: Intersection (set theory) and Set-builder notation · See more »
Sigma-algebra
In mathematical analysis and in probability theory, a σ-algebra (also σ-field) on a set X is a collection Σ of subsets of X that includes the empty subset, is closed under complement, and is closed under countable unions and countable intersections.
New!!: Intersection (set theory) and Sigma-algebra · See more »
Symmetric difference
In mathematics, the symmetric difference, also known as the disjunctive union, of two sets is the set of elements which are in either of the sets and not in their intersection.
New!!: Intersection (set theory) and Symmetric difference · See more »
Union (set theory)
In set theory, the union (denoted by ∪) of a collection of sets is the set of all elements in the collection.
New!!: Intersection (set theory) and Union (set theory) · See more »
Universal quantification
In predicate logic, a universal quantification is a type of quantifier, a logical constant which is interpreted as "given any" or "for all".
New!!: Intersection (set theory) and Universal quantification · See more »
Universal set
In set theory, a universal set is a set which contains all objects, including itself.
New!!: Intersection (set theory) and Universal set · See more »
Vacuous truth
In mathematics and logic, a vacuous truth is a statement that asserts that all members of the empty set have a certain property.
New!!: Intersection (set theory) and Vacuous truth · See more »
Zermelo–Fraenkel set theory
In mathematics, Zermelo–Fraenkel set theory, named after mathematicians Ernst Zermelo and Abraham Fraenkel, is an axiomatic system that was proposed in the early twentieth century in order to formulate a theory of sets free of paradoxes such as Russell's paradox.
New!!: Intersection (set theory) and Zermelo–Fraenkel set theory · See more »
Redirects here:
Empty intersection, Intersect (set theory), Intersection (sets), Intersection set theory, Intersection sign, Nullary intersection, Set intersection, Set theoretic intersection, Set theory intersection, Set-theoretic intersection, ∩, ⋂.
References
[1] https://en.wikipedia.org/wiki/Intersection_(set_theory)
