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The set of Fibonacci numbers formalized in set-theoretic notation: did I do it correctly?

The set of Fibonacci numbers $= \displaystyle \{x_i \in \Bbb N_0 : x_i = x_{i-1} + x_{i-2} \ \forall \ i \in \Bbb N_2 : x_0 + x_1 =1, >\}$. Is this correct notation? The $>$ at the end is ...
user110391's user avatar
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0 votes
2 answers
105 views

Is there a specific symbol for $\mathbb{N}\cup\lbrace 0\rbrace$? [duplicate]

It is well known that natural numbers start in 1. However, sometimes people work with a "widened set" of natural numeres plus zero, $\mathbb{N}\cup\lbrace 0\rbrace$. That is, all non-...
FGSUZ's user avatar
  • 164
1 vote
2 answers
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Question on elementary set theory notation

Consider the set $A=\{n\ a \}$ where $a>0$ is a constant and $n \in \mathbb{N}$ How shall we write this set $A$ in set theory? If we write it as $A=\{n\ a\ \backslash n \in \mathbb{N}, a>0 \}$ ...
Joe's user avatar
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