This is a stupid question, but how exactly is \(\mathbb{Z^+}\) defined?

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- anonymous

This is a stupid question, but how exactly is \(\mathbb{Z^+}\) defined?

- schrodinger

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- anonymous

Some call it the set of "non-negative" integers, which I presume is \(\{0,1,2,...\}\). However, I have the intuition that it may actually be \(\{1,2,...\}\). Which one is it?

- anonymous

How you define \( \mathbb{N} \) ?

- anonymous

I guess I'm just going to go with \(\mathbb{N}\cup\{0\}\). -_-

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- anonymous

^ That's how we define it.

- anonymous

Hmm... now that I think about it, I see your point, FoolForMath. Thank you.

- anonymous

i think
\[\mathbb Z^+=\mathbb N\]

- anonymous

o_o -.-

- anonymous

Good mathematician define it before using it .

- anonymous

... more like non-ambiguous ones. ;P

- anonymous

plus mean positive not "non-negative" but what do i know.
however
http://mathworld.wolfram.com/Z-Plus.html

- anonymous

I see. Thanks for that, satellite73.

- anonymous

sat, trust me I have seen various definition in varied research papers, The best thing is to define it before.

- anonymous

oh i believe you for sure. i would not bet on anything when it comes to notation. i am not at all suggesting i am right, just saying that it is how i would view it

- anonymous

Yes in general it's viewed the way you mentioned but some mathematician try to alter the meaning

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