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I was reviewing some papers and came across the notation x ∈ {0, 1}*

I want to know what it means. Thank you!

Edit: I noticed I did not put enough context to the question. The paper I reviewed was about blocks in a blockchain. It states:

"A block is a triple of the form B = (s, x, ctr), where s ∈ {0, 1} ᵏ, x ∈ {0, 1}* and ctr∈N"

I hope this gives more context to the notation. Sorry for the incomplete question before!

avocadojuice08
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    It would be helpful if you could be more specific about the area of mathematics that this paper is in. That said, my guess would be that the star is the Kleene star. – Ben Grossmann Aug 23 '21 at 12:31
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    It looks like $x$ is a binary string made out of digits (letters) $0$ and $1$ and a string $x$ can be empty (indicated by the star). Is the context binary algebra? –  Aug 23 '21 at 12:31
  • Can you please cite some of these papers? It is common in mathematics for the same notation to mean many things, depending on context---without knowing the context in which you are seeing this notation, it is impossible to know what it means. – Xander Henderson Aug 23 '21 at 12:35
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    In information theory papers, ${0,1 }^*$ means the set of all sequences made up of $0$s and $1$s. – rims Aug 23 '21 at 12:37
  • @ironX To be precise, all such finite sequences – Mark Saving Aug 23 '21 at 14:16

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