Question

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

Answer 1

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?

Answer 2

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

Answer 3

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

Answer 4

^ That's how we define it.

Answer 5

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

Answer 6

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

Answer 7

o_o -.-

Answer 8

Good mathematician define it before using it .

Answer 9

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

Answer 10

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

Answer 11

I see. Thanks for that, satellite73.

Answer 12

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

Answer 13

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

Answer 14

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