May 14, 2015 · An injective function (a.k.a one-to-one function) is a function for which every element of the range of the function corresponds to exactly one element of the domain.

Update: In the category of sets, an epimorphism is a surjective map and a monomorphism is an injective map. As is mentioned in the morphisms question, the usual notation is …

Apr 9, 2014 · That's not much work. What is the definiton of injective and surjective? Then the solution is very simple.

An example of an injective function $\mathbb {R}\to\mathbb {R}$ that is not surjective is $\operatorname {h} (x)=\operatorname {e}^x$. This "hits" all of the positive reals, but misses …

Sep 25, 2015 · A function is invertible if and only if it is bijective (i.e. both injective and surjective). Injectivity is a necessary condition for invertibility but not sufficient.

Injective function from $\mathbb {R}^2$ to $\mathbb {R}$? Ask Question Asked 13 years, 2 months ago Modified 6 years, 3 months ago

Jan 5, 2018 · First, we define the function properly, state the domain, the codomain, and the rule. After the function is well defined, then we can talk about whether it is injective or surjective.

Apr 11, 2023 · Is the function surjective, injective or bijective?". My (simplified) understanding of a injective function is that every value for X has to map to a unique value on Y.

Mar 30, 2020 · If the function is going from A to A, then the cardinality of the domain and codomain are the same, and if it is either surjective or injective, then wouldn't it have to also be …

Jul 7, 2019 · But $\sin (x)$ is not bijective, but only injective (when restricting its domain). As you can see the topics I'm studying are probably very basic, so excuse me if my question is silly, but …