Examples of 'bijection' in a sentence

Meaning of "bijection"

Bijection is a mathematical term used as a noun to refer to a function that is both injective and surjective
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  • A one-to-one correspondence, a function which is both a surjection and an injection.

How to use "bijection" in a sentence

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bijection
This is an analytic bijection with analytic inverse.
A bijection implies isomorphism in the category of sets.
Then there is a bijection between the set of.
We have seen that doing a count means doing a bijection.
The composite of two bijections is a bijection.
To elaborate this we need the concept of a bijection.
A bijection is a function which is both an injection and surjection.
The theorem states that there is a bijection.
There is a bijection between the set of elements of the.
This info may be used to set a bijection.
Composite of two bijections is itself a bijection.
We want to show that there is a natural bijection.
A diffeomorphism is a bijection which is differentiable with differentiable inverse.
This information can be used to establish a bijection.
A function is a bijection iff it is both an injection and a surjection.

See also

An isomorphism between vector spaces is a linear bijection.
Then the bijection described in the foregoing is applied.
This type of function is also called a bijection.
A bijection is a function that is both an injection and a surjection.
This is readily demonstrated by the construction of a bijection.
The equivalence kernel of a bijection is the identity relation.
A function is invertible if and only if it is a bijection.
It follows that composition of two bijections is also a bijection.
A consequence of this is that multiplication by a group element g is a bijection.
Prove that the composition of two bijections is a bijection.
There is a bijection between distribution functions and characteristic functions.
Show that this is indeed a bijection.
This bijection respects unitary equivalence and strong containment.
A pairing function is a primitive recursive bijection.
There is a bijection between probability distributions and characteristic functions.
Show that there is a bijection from.
This bijection is what we call the coadjoint orbit correspondence.
An isomorphism between linear orders is simply a strictly increasing bijection.
Thus a bijection is a function which is both injective and surjective.
The above inequality becomes an equality if the transform is a bijection.
A bijection is defined to be a function that is both an injection and a surjection.
A composition of bijections is also a bijection.
This data determines a bijection.
The bijection can be naturally.
Follows that the composite of two bijections is itself a bijection.
Still another method for proving conjectures is to establish a bijection.
A homeomorphism is a bijection that is continuous and whose inverse is also continuous.
Then we have a canonical bijection.
A permutation is simply a bijection from the set of positive integers to itself.
We want to prove that it is a bijection.
A bijection is a function giving an exact pairing of the elements of two sets.
Now show that f is a bijection.
A bijection of the set that preserves the order is called an ordered correspondence.
Tamely ramified extensions of both fields are in bijection to one another.
This relation gives a bijection between involutory matrices and idempotent matrices.

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