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Sentences with SURJECTION

Check out our example sentences below to help you understand the context.

Sentences

1
"In mathematics, a surjection is a function that maps every element in its domain to an element in its codomain."
2
"A surjection is also known as an onto function or a surjective function."
3
"The surjection from the set of real numbers to the set of integers is given by rounding each real number to the nearest integer."
4
"The function f(x) = x^2 is a surjection from the set of positive real numbers to the set of positive real numbers."
5
"A surjection can have multiple pre-images for a given element in its codomain."
6
"If a surjection maps a finite domain to a finite codomain, it is guaranteed to have at least one element in its domain that maps to multiple elements in its codomain."
7
"The existence of a surjection between two sets implies that the two sets have the same cardinality."
8
"A surjection is a type of function that preserves the addition and scalar multiplication of vectors in linear algebra."
9
"The surjection of a line onto a point in projective geometry is an example of a degenerate case."
10
"The concept of surjection is often used in set theory and category theory."
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