Faster access than browser!
49 relations: Ax–Grothendieck theorem, Baseball, Batting order (baseball), Bijection, injection and surjection, Bijective numeration, Bijective proof, Cardinal number, Cardinality, Category of groups, Category of sets, Category theory, Codomain, Converse relation, Cricket, Diffeomorphism, Domain of a function, Equinumerosity, Exponential function, Factorial, Finite set, Function (mathematics), Function composition, Graph of a function, Group (mathematics), Homeomorphism, Homography, Homomorphism, Identity function, If and only if, Infinite set, Injective function, Inverse function, Isomorphism, Linear function, Mathematics, Möbius transformation, Multivalued function, Natural logarithm, Partial function, Permutation, Permutation group, Set (mathematics), Set theory, Subset, Surjective function, Symmetric group, Symmetric inverse semigroup, Total order, Transformation (function).
Ax–Grothendieck theorem
In mathematics, the Ax–Grothendieck theorem is a result about injectivity and surjectivity of polynomials that was proved independently by James Ax and Alexander Grothendieck.
New!!: Bijection and Ax–Grothendieck theorem · See more »
Baseball
Baseball is a bat-and-ball game played between two opposing teams who take turns batting and fielding.
New!!: Bijection and Baseball · See more »
Batting order (baseball)
In baseball, the batting order or batting lineup is the sequence in which the members of the offense take their turns in batting against the pitcher.
New!!: Bijection and Batting order (baseball) · See more »
Bijection, injection and surjection
In mathematics, injections, surjections and bijections are classes of functions distinguished by the manner in which arguments (input expressions from the domain) and images (output expressions from the codomain) are related or mapped to each other.
New!!: Bijection and Bijection, injection and surjection · See more »
Bijective numeration
Bijective numeration is any numeral system in which every non-negative integer can be represented in exactly one way using a finite string of digits.
New!!: Bijection and Bijective numeration · See more »
Bijective proof
In combinatorics, bijective proof is a proof technique that finds a bijective function f: A → B between two finite sets A and B, or a size-preserving bijective function between two combinatorial classes, thus proving that they have the same number of elements, |A|.
New!!: Bijection and Bijective proof · See more »
Cardinal number
In mathematics, cardinal numbers, or cardinals for short, are a generalization of the natural numbers used to measure the cardinality (size) of sets.
New!!: Bijection and Cardinal number · See more »
Cardinality
In mathematics, the cardinality of a set is a measure of the "number of elements of the set".
New!!: Bijection and Cardinality · See more »
Category of groups
In mathematics, the category Grp has the class of all groups for objects and group homomorphisms for morphisms.
New!!: Bijection and Category of groups · See more »
Category of sets
In the mathematical field of category theory, the category of sets, denoted as Set, is the category whose objects are sets.
New!!: Bijection and Category of sets · See more »
Category theory
Category theory formalizes mathematical structure and its concepts in terms of a labeled directed graph called a category, whose nodes are called objects, and whose labelled directed edges are called arrows (or morphisms).
New!!: Bijection and Category theory · See more »
Codomain
In mathematics, the codomain or target set of a function is the set into which all of the output of the function is constrained to fall.
New!!: Bijection and Codomain · See more »
Converse relation
In mathematics, the converse relation, or transpose, of a binary relation is the relation that occurs when the order of the elements is switched in the relation.
New!!: Bijection and Converse relation · See more »
Cricket
Cricket is a bat-and-ball game played between two teams of eleven players each on a cricket field, at the centre of which is a rectangular pitch with a target at each end called the wicket (a set of three wooden stumps upon which two bails sit).
New!!: Bijection and Cricket · See more »
Diffeomorphism
In mathematics, a diffeomorphism is an isomorphism of smooth manifolds.
New!!: Bijection and Diffeomorphism · See more »
Domain of a function
In mathematics, and more specifically in naive set theory, the domain of definition (or simply the domain) of a function is the set of "input" or argument values for which the function is defined.
New!!: Bijection and Domain of a function · See more »
Equinumerosity
In mathematics, two sets or classes A and B are equinumerous if there exists a one-to-one correspondence (a bijection) between them, i.e. if there exists a function from A to B such that for every element y of B there is exactly one element x of A with f(x).
New!!: Bijection and Equinumerosity · See more »
Exponential function
In mathematics, an exponential function is a function of the form in which the argument occurs as an exponent.
New!!: Bijection and Exponential function · See more »
Factorial
In mathematics, the factorial of a non-negative integer n, denoted by n!, is the product of all positive integers less than or equal to n. For example, The value of 0! is 1, according to the convention for an empty product.
New!!: Bijection and Factorial · See more »
Finite set
In mathematics, a finite set is a set that has a finite number of elements.
New!!: Bijection and Finite set · See more »
Function (mathematics)
In mathematics, a function was originally the idealization of how a varying quantity depends on another quantity.
New!!: Bijection and Function (mathematics) · See more »
Function composition
In mathematics, function composition is the pointwise application of one function to the result of another to produce a third function.
New!!: Bijection and Function composition · See more »
Graph of a function
In mathematics, the graph of a function f is, formally, the set of all ordered pairs, and, in practice, the graphical representation of this set.
New!!: Bijection and Graph of a function · See more »
Group (mathematics)
In mathematics, a group is an algebraic structure consisting of a set of elements equipped with an operation that combines any two elements to form a third element and that satisfies four conditions called the group axioms, namely closure, associativity, identity and invertibility.
New!!: Bijection and Group (mathematics) · See more »
Homeomorphism
In the mathematical field of topology, a homeomorphism or topological isomorphism or bi continuous function is a continuous function between topological spaces that has a continuous inverse function.
New!!: Bijection and Homeomorphism · See more »
Homography
In projective geometry, a homography is an isomorphism of projective spaces, induced by an isomorphism of the vector spaces from which the projective spaces derive.
New!!: Bijection and Homography · See more »
Homomorphism
In algebra, a homomorphism is a structure-preserving map between two algebraic structures of the same type (such as two groups, two rings, or two vector spaces).
New!!: Bijection and Homomorphism · See more »
Identity function
Graph of the identity function on the real numbers In mathematics, an identity function, also called an identity relation or identity map or identity transformation, is a function that always returns the same value that was used as its argument.
New!!: Bijection and Identity function · 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!!: Bijection and If and only if · See more »
Infinite set
In set theory, an infinite set is a set that is not a finite set.
New!!: Bijection and Infinite set · See more »
Injective function
In mathematics, an injective function or injection or one-to-one function is a function that preserves distinctness: it never maps distinct elements of its domain to the same element of its codomain.
New!!: Bijection and Injective function · See more »
Inverse function
In mathematics, an inverse function (or anti-function) is a function that "reverses" another function: if the function applied to an input gives a result of, then applying its inverse function to gives the result, and vice versa.
New!!: Bijection and Inverse function · See more »
Isomorphism
In mathematics, an isomorphism (from the Ancient Greek: ἴσος isos "equal", and μορφή morphe "form" or "shape") is a homomorphism or morphism (i.e. a mathematical mapping) that can be reversed by an inverse morphism.
New!!: Bijection and Isomorphism · See more »
Linear function
In mathematics, the term linear function refers to two distinct but related notions.
New!!: Bijection and Linear function · See more »
Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
New!!: Bijection and Mathematics · See more »
Möbius transformation
In geometry and complex analysis, a Möbius transformation of the complex plane is a rational function of the form of one complex variable z; here the coefficients a, b, c, d are complex numbers satisfying ad − bc ≠ 0.
New!!: Bijection and Möbius transformation · See more »
Multivalued function
In mathematics, a multivalued function from a domain to a codomain is a heterogeneous relation.
New!!: Bijection and Multivalued function · See more »
Natural logarithm
The natural logarithm of a number is its logarithm to the base of the mathematical constant ''e'', where e is an irrational and transcendental number approximately equal to.
New!!: Bijection and Natural logarithm · See more »
Partial function
In mathematics, a partial function from X to Y (written as or) is a function, for some subset X ′ of X.
New!!: Bijection and Partial function · See more »
Permutation
In mathematics, the notion of permutation relates to the act of arranging all the members of a set into some sequence or order, or if the set is already ordered, rearranging (reordering) its elements, a process called permuting.
New!!: Bijection and Permutation · See more »
Permutation group
In mathematics, a permutation group is a group G whose elements are permutations of a given set M and whose group operation is the composition of permutations in G (which are thought of as bijective functions from the set M to itself).
New!!: Bijection and Permutation group · See more »
Set (mathematics)
In mathematics, a set is a collection of distinct objects, considered as an object in its own right.
New!!: Bijection 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!!: Bijection and Set theory · See more »
Subset
In mathematics, a set A is a subset of a set B, or equivalently B is a superset of A, if A is "contained" inside B, that is, all elements of A are also elements of B. A and B may coincide.
New!!: Bijection and Subset · See more »
Surjective function
In mathematics, a function f from a set X to a set Y is surjective (or onto), or a surjection, if for every element y in the codomain Y of f there is at least one element x in the domain X of f such that f(x).
New!!: Bijection and Surjective function · See more »
Symmetric group
In abstract algebra, the symmetric group defined over any set is the group whose elements are all the bijections from the set to itself, and whose group operation is the composition of functions.
New!!: Bijection and Symmetric group · See more »
Symmetric inverse semigroup
In abstract algebra, the set of all partial bijections on a set X (one-to-one partial transformations) forms an inverse semigroup, called the symmetric inverse semigroup (actually a monoid) on X. The conventional notation for the symmetric inverse semigroup on a set X is \mathcal_X or \mathcal_X In general \mathcal_X is not commutative.
New!!: Bijection and Symmetric inverse semigroup · See more »
Total order
In mathematics, a linear order, total order, simple order, or (non-strict) ordering is a binary relation on some set X, which is antisymmetric, transitive, and a connex relation.
New!!: Bijection and Total order · See more »
Transformation (function)
In mathematics, particularly in semigroup theory, a transformation is a function f that maps a set X to itself, i.e..
New!!: Bijection and Transformation (function) · See more »
Redirects here:
1-1 Correspondence, 1-to-1 correspondence, 1-to-1 map, 1-to-1 mapping, 1:1 correspondence, Bijectio, Bijectiob, Bijection (mathematics), Bijectional, Bijections, Bijective, Bijective Function, Bijective function, Bijective map, Bijective mapping, Bijective relation, Bijectivity, One to One Correspondence, One to one and onto, One to one correspondence, One-one correspondence, One-to-one and onto, One-to-one correspondence, Partial bijection, Partial one-one transformation.
References
[1] https://en.wikipedia.org/wiki/Bijection
