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

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In summary, the symbol \ni is commonly used in set-builder notation to mean "such that". Some people may find it confusing as it is similar to the symbol \in which means "in". However, it is still a valid notation and is used by some professors. Most people tend to use the abbreviation s.t instead. However, it is not commonly used in textbooks.
  • #1
futurebird
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My prof writes this symbol that looks (sort of) like this [tex]\ni[/tex] 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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  • #2
Well in set builder notation usually [tex]\in[/tex] means "in" and "|" for "such that". Eg [tex]S=\{ k \in \mathbb{Q} | \sqrt{k} \in \mathbb{C} \} [/tex] means the set S is equal to the set of rational numbers such that sqrt k is a complex number.
 
  • #3
futurebird said:
My prof writes this symbol that looks (sort of) like this [tex]\ni[/tex] 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.
 
  • #4
futurebird said:
My prof writes this symbol that looks (sort of) like this [tex]\ni[/tex] 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, [itex]\in[/itex] means a member of and so the backward version means exactly the same: e.g. [itex]\mathbb{N}\ni n[/itex].
 
  • #5
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.
 
  • #6
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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