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 maps each input to a unique output. [bijective: adjective]
Example
A bijective function ensures that there are no repeated elements in the domain or codomain. [bijective: adjective]
injective
Example
The function g(x) = x^2 is not injective because different inputs can produce the same output. [injective: adjective]
Example
An injective function guarantees that each element in the domain has a unique image in the codomain. [injective: adjective]
Good things to know
Which word is more common?
Injective is more commonly used than bijective in everyday mathematical language. Injective functions are frequently discussed and studied, while bijective functions are a specific subset of injective functions with additional requirements.
What’s the difference in the tone of formality between bijective and injective?
Both bijective and injective are formal terms used in mathematical contexts. They are typically used in academic or technical discussions and may not be commonly encountered in casual conversations.
