What is the meaning of the symbol that looks like \ni in mathematics?

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SUMMARY

The symbol resembling \ni is used in mathematical notation to denote "such that," although it is not widely recognized or standardized. In set builder notation, the more common symbols are \in for "in" and | for "such that." For example, the expression S={ k ∈ ℚ | √k ∈ ℂ } indicates the set of rational numbers k such that √k is a complex number. While some professors may use \ni, it can lead to confusion as it resembles the membership symbol \in.

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My prof writes this symbol that looks (sort of) like this \ni for "such that"

I just write the words "such that" in my notes...

But what is this symbol? I just choose the latex that looked most like what's on the board... is it the right one?
 
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Well in set builder notation usually \in means "in" and "|" for "such that". Eg S=\{ k \in \mathbb{Q} | \sqrt{k} \in \mathbb{C} \} means the set S is equal to the set of rational numbers such that sqrt k is a complex number.
 
futurebird said:
My prof writes this symbol that looks (sort of) like this \ni for "such that"

I just write the words "such that" in my notes...

But what is this symbol? I just choose the latex that looked most like what's on the board... is it the right one?

I was introduced with this notation back when i started calculus. However most people use s.t rather than that.
 
futurebird said:
My prof writes this symbol that looks (sort of) like this \ni for "such that"

I just write the words "such that" in my notes...

But what is this symbol? I just choose the latex that looked most like what's on the board... is it the right one?

I think that if your professor does use that symbol, then it's very confusing. As Gib Z says, \in means a member of and so the backward version means exactly the same: e.g. \mathbb{N}\ni n.
 
leon1127 said:
I was introduced with this notation back when i started calculus. However most people use s.t rather than that.

Okay. I just wanted to know if anyone else had seen it. I don't find it that confusing... I wanted to know if this is what it looked like becuse my prof writes it in this odd way.
 
The symbol for "such that" and epsilon has a bit difference. The symbol is larger. But I haven't seen anything springer book using that symbol for such that.
 

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