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Mathematics 22 Online
OpenStudy (2bornot2b):

What is the difference between the terms denumerable and enumerable.

OpenStudy (anonymous):

synonyms

OpenStudy (2bornot2b):

What's the meaning of them?

OpenStudy (anonymous):

a set is "denumarable" if you can count the elements first, second, third etc

OpenStudy (anonymous):

just like when you first learn math as a 4 year old by learning to count things. denumerable means "countable"

OpenStudy (kinggeorge):

A denumerable set is a so-called countable set, an an enumerable set is something that seems to be used in computer science, but is essentially the same thing.

OpenStudy (anonymous):

and counting things means you are assigning a positive integer to each item first item, second item, third item, etc so it is actually pretty sophisticated. you are creating a one to one function from the positive integers to the elements of the set

OpenStudy (anonymous):

so to be very formal, you can say a set S is "denumerable" "countable" etc if there is an injective function (one to one function) from \[S \to \mathbb N\]

OpenStudy (2bornot2b):

what are you talking about @robot1234

OpenStudy (anonymous):

think maybe robot is bored

OpenStudy (2bornot2b):

Might be a clever method of squeezing a medal from someone who thinks robot1234 is helping

OpenStudy (anonymous):

Lol!

OpenStudy (anonymous):

watch this

OpenStudy (2bornot2b):

I have seen these earlier, users coming in and just posting a nonsense and expecting to get a medal.

OpenStudy (2bornot2b):

This is a good trick after all

OpenStudy (anonymous):

Driveling for medals lol!

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