Sentences with BIJECTION
Check out our example sentences below to help you understand the context.Sentences
1
"A bijection is a one-to-one correspondence between two sets."
2
"Every element in the domain of a bijection is associated with a unique element in the codomain."
3
"A function can only be a bijection if it is both injective and surjective."
4
"Proving that a function is a bijection often involves showing both injectivity and surjectivity."
5
"In set theory, a bijection is also referred to as a bijective function."
6
"A bijection between two sets implies that they have the same cardinality."
7
"If a bijection exists between two sets, they can be considered equivalent in terms of size."
8
"A linear transformation can be a bijection if it is invertible."
9
"The concept of bijection is fundamental in various branches of mathematics."
10
"In graph theory, a bijection is often used to map vertices between two graphs."
11
"The existence of a bijection can be used to prove the equivalence of two mathematical structures."
12
"A bijection preserves the number of elements in the sets it maps between."
13
"The bijection between the set of natural numbers and the set of even numbers can be represented by the function f(x) = 2x."
14
"A bijection between two finite sets with the same number of elements is always possible."
15
"The concept of bijection is closely related to the concept of bijection principle in set theory."
16
"A bijection is both one-to-one and onto."
1
"In mathematics, a bijection is a function that is both injective and surjective."
2
"A bijection establishes a one-to-one correspondence between the elements of two sets."
3
"The bijection between the set of real numbers and the set of points on a line is well-known."
4
"A bijection is often used to prove the equivalence of two sets."
5
"The concept of a bijection is fundamental in the field of set theory."
6
"A bijection preserves the cardinality of sets."
7
"The existence of a bijection between two sets implies that they have the same number of elements."
8
"Finding a bijection between two sets can be a challenging problem."
9
"The bijection between the set of natural numbers and the set of even numbers is an example of a mapping."
