Cryptocurrency Q&A Is onto the same as injective?

Is onto the same as injective?

SarahWilliams SarahWilliams Tue Oct 15 2024 | 7 answers 1363
I'm trying to understand the concept of mathematical functions, specifically onto and injective functions. I want to know if the term 'onto' is the same as 'injective' in the context of function properties. Is onto the same as injective?

7 answers

noah_smith_researcher noah_smith_researcher Thu Oct 17 2024
The concept of onto and one-to-one functions is fundamental in understanding the behavior of mathematical transformations and their applications.

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Luca Luca Thu Oct 17 2024
A function is said to be onto, or surjective, when every element in the codomain is mapped to by at least one element in the domain. This means that the range of the function, which is the set of all outputs, coincides with the codomain, the set of all possible outputs.

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Lorenzo Lorenzo Thu Oct 17 2024
Conversely, a function that maps each element in the domain to a unique element in the range, with no two distinct domain elements mapping to the same range element, is called one-to-one or injective.

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Claudio Claudio Wed Oct 16 2024
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Michele Michele Wed Oct 16 2024
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