- A bijection,
bijective function, or one-to-one
correspondence between two
mathematical sets is a
function such that each
element of the
second set (the...
-
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....
- In combinatorics,
bijective proof is a
proof technique for
proving that two sets have
equally many elements, or that the sets in two
combinatorial classes...
-
function must not be
confused with one-to-one
correspondence that
refers to
bijective functions,
which are
functions such that each
element in the codomain...
- homomorphisms, and a
homomorphism is an
isomorphism if and only if it is
bijective. In
various areas of mathematics,
isomorphisms have
received specialized...
- {\displaystyle \forall y\in Y,\exists x\in X,y=f(x).} The
function is
bijective (one-to-one and onto, one-to-one correspondence, or invertible) if each...
-
between algebraic structures of the same type is
commonly defined as a
bijective homomorphism.: 134 : 28 In the more
general context of
category theory...
- a
bijective group homomorphism from G {\displaystyle G} to H . {\displaystyle H.}
Spelled out, this
means that a
group isomorphism is a
bijective function...
-
function f is
bijective (or is a
bijection or a one-to-one correspondence) if it is both
injective and surjective. That is, f is
bijective if, for every...
- they must be
equal to each
other and thus the
identity is established. A
bijective proof. Two sets are
shown to have the same
number of
members by exhibiting...
