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Math Help - Which of the two is proper math notation?

  1. #1
    s3a
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    Which of the two is proper math notation?

    If I want to say that "u+v is in subspace S" do I say "u + v element of S" or "u+v the sideways upside down U of S"?

    Any input would be greatly appreciated!
    Thanks in advance!
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  2. #2
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    I think that "u+v is in subspace S" is equivalent to "u+v is in S, which is a subspace". Then this is written as u+v\in S.
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  3. #3
    A Plied Mathematician
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    Emakarov is correct. In addition, I would say that the notation u\in S means that u is one object, and it is a member of the set S. The second notation you mentioned is (I think) U\subset S, and this means that U is a set, and every element in U is also in S. So, \in corresponds to one element being in a set, whereas \subset corresponds to what's on the left being a subset of what's on the right. Make sense?
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