Examples of 'is a bijection' in a sentence
Meaning of "is a bijection"
The phrase 'is a bijection' is a mathematical term used to describe a function or mapping between two sets that is both injective and surjective. In simpler terms, it means that for every element in the first set, there exists a unique element in the second set, and vice versa, without any repetition or omission
How to use "is a bijection" in a sentence
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is a bijection
Then there is a bijection between the set of.
The theorem states that there is a bijection.
There is a bijection between the set of elements of the.
Show that there is a bijection from.
A function is a bijection iff it is both an injection and a surjection.
A function is invertible if and only if it is a bijection.
A diffeomorphism is a bijection which is differentiable with differentiable inverse.
Prove that the composition of two bijections is a bijection.
There is a bijection between distribution functions and characteristic functions.
The composite of two bijections is a bijection.
There is a bijection between probability distributions and characteristic functions.
A consequence of this is that multiplication by a group element g is a bijection.
A homeomorphism is a bijection that is continuous and whose inverse is also continuous.
The above inequality becomes an equality if the transform is a bijection.
Prove that f is a bijection.
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We have now shown that f is invertible if and only if it is a bijection.
Show that g is a bijection.
A consequence of this is that multiplying by a group element " g " is a bijection.
Any involution is a bijection.
It is a bijection that maps lines to lines, and thus a collineation.
We want to prove that it is a bijection.
Suppose b is a bijection of X with itself.
A bijective function is a bijection.
Definition, A function is a bijection if it is both a surjection and an injection.
General properties==Any involution is a bijection.
Hence f is a bijection.
After, we define the logarithmic function, and we show that it is a bijection.
Assume that f is a bijection.
If Dfx is a bijection for all x then we say that f is a ( global ) diffeomorphism.
Now show that f is a bijection.
A derangement of a set A is a bijection from A into itself that has no fixed points.
Because a is invertible, the map φ, H → aH given by φ ( h ) ah is a bijection.
This numbering is a bijection.
There is a well-ordering of V. There is a bijection between V and the class of all ordinal numbers.
This function is a bijection.
A bijective function is a bijection one-to-one correspondence.
Suppose that f is a bijection.
Every symmetry is a bijection.
The latter function is a bijection if G.
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Examples of using Bijection
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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
