Wednesday, 18 June 2014

elementary set theory - Examples of surjective functions mathbbNtoZ and mathbbNtoNtimesN

I'm asked to give examples of surjective functions NZ and NN×N. Could a function NZ, just be floor(x), and a function NN×N be x2? In both cases, every element in the codomain would be mapped to. Or is it meant to be a function like: x(x,y)?

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real analysis - How to find limhrightarrow0fracsin(ha)h

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