Cryptocurrency Q&A
How do you show something is not injective?
How do you show something is not injective?
DigitalEagle
Mon Oct 28 2024
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6 answers
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I'm trying to understand how to demonstrate that a function is not injective. I know injective means every element in the domain maps to a unique element in the codomain, but how do I prove it's not the case?
6 answers
Giulia
Wed Oct 30 2024
To demonstrate that a function is not injective, a specific criterion must be met.
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Rosalia
Wed Oct 30 2024
We need to prove the negation of the statement that for all x and y in the domain A, if x is not equal to y, then f(x) is not equal to f(y).
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Valentina
Wed Oct 30 2024
This negation can be expressed as: there exists at least one x in A and at least one y in A such that the condition fails.
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Valeria
Wed Oct 30 2024
Specifically, we must find x and y in A where x is not equal to y, but f(x) is equal to f(y).
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DaeguDivaDanceQueenElegantStride
Tue Oct 29 2024
This condition directly contradicts the definition of an injective function, which requires distinct inputs to map to distinct outputs.
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