Cryptocurrency Q&A
Are functions always injective?
Are functions always injective?
TimeRippleOcean
Mon Oct 14 2024
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6 answers
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I'm wondering if all functions are injective. In other words, does every function map each input to a unique output, or are there cases where a function can map multiple inputs to the same output?
6 answers
MountFujiMystic
Wed Oct 16 2024
On the other hand, a surjective function, or onto function, guarantees that every element in the codomain is mapped to by at least one element in the domain.
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Giulia
Wed Oct 16 2024
It is a fundamental mathematical principle that every function can be broken down into simpler components.
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GangnamGlamour
Wed Oct 16 2024
Specifically, any given function can be expressed as a combination of an injective function and a surjective function.
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SumoPride
Wed Oct 16 2024
An injective function, also known as a one-to-one function, ensures that each element in the domain maps to a unique element in the codomain.
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Carlo
Tue Oct 15 2024
Despite this ability to decompose functions, it is important to note that not every function possesses the property of being bijective.
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