What context can I use each word in?
Learn when and how to use these words with these examples!
bijective
Example
The function f(x) = 2x is bijective because it is both injective and surjective. [bijective: adjective]
Example
In a bijective function, each element in the domain has a unique corresponding element in the codomain. [bijective: noun]
surjective
Example
The function g(x) = x^2 is surjective because every non-negative real number has a corresponding square root. [surjective: adjective]
Example
A surjective function ensures that no element in the codomain is left without a corresponding element in the domain. [surjective: noun]
Good things to know
Which word is more common?
Surjective is more commonly used than bijective in everyday mathematical language. Surjective functions are frequently discussed and studied due to their importance in various mathematical concepts and applications. Bijective functions, while less common, are also significant in certain areas of mathematics.
What’s the difference in the tone of formality between bijective and surjective?
Both bijective and surjective are formal terms used in mathematical contexts. They are typically used in academic or technical discussions and are less commonly encountered in everyday conversation.
