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tomiko

  • 3 years ago

what does this symbol mean in math? http://i45.tinypic.com/35k200h.jpg

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  1. tomiko
    • 3 years ago
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    the V and the other one turned upside down? ?

  2. Rudy
    • 3 years ago
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    The way I've seen it used,V means union of sets and upside down triangle means intersection of sets.

  3. tomiko
    • 3 years ago
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    apparently there's a DIFFERENT meaning :|

  4. tomiko
    • 3 years ago
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    OK i'm leaning this: http://i47.tinypic.com/dxhdm8.jpg. the text means. Set X C R is lower-bounded if:....then that image i posted earlier. in this context what do the V and upside V mean?

  5. UnkleRhaukus
    • 3 years ago
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    \[\Large\bigvee_{m\in \mathbb R}\bigwedge_{x\in X}x\geq m\] \(x\) is greater than or equal to \(m\) , OR \(m\) is an element of the real numbers , And \(x\) is in the set \(X\) .

  6. UnkleRhaukus
    • 3 years ago
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    \(\land\) and \(\lor\) or

  7. UnkleRhaukus
    • 3 years ago
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    \[X\subset\mathbb R\] the set \(X\) is a subset of the real numbers

  8. UnkleRhaukus
    • 3 years ago
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    @Rudy \(A\cup B\) is the union of sets \(A, B\) \(A\cap B\) is the intersection

  9. chihiroasleaf
    • 3 years ago
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    @tomiko I don't understand the language, but it seems 'real analysis' and I guess that it supposed to be, Set \[X \subset R\] is bounded from below, or have a lower bound if \[\forall m \in R, \exists x \in X, x \ge m\] we can say that, for all m in R, there exist x in X such that x greater than or equal to m, that's the usual symbol that I know... :)

  10. tomiko
    • 3 years ago
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    @chihiroasleaf exactly what i wanted!! thank to @UnkleRhaukus too!!

  11. chihiroasleaf
    • 3 years ago
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    but I think, \[X \subset R\] is said to have a lower bound if \[\exists m \in R,\] such that \[\forall x \in R \rightarrow x \ge m \]

  12. UnkleRhaukus
    • 3 years ago
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    the fancy names are conjunctions (and) , disjunction (or)

  13. chihiroasleaf
    • 3 years ago
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    yes.., they usually use for logic, it's my first time see these symbol use in this subject... :D

  14. tomiko
    • 3 years ago
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    but this is NOT logic. i know what they mean in logic. usually the in logic the "v" i smaller. but this one the "V" is very big and under it they write something like x is a member of R. this is definitely not logic.

  15. chihiroasleaf
    • 3 years ago
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    yes.., that's why I say that it's my first time see these symbol are used in this subject, but the definition is a bit different to what I know, may be you can read on this link about upper and lower bound of a set... If I refer to the usual definition of upper and lower bound than, V will mean 'there exist' and '^' will mean 'for all' http://www.emathzone.com/tutorials/real-analysis/upper-and-lower-bounds.html

  16. chihiroasleaf
    • 3 years ago
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    so, your image will mean \[\exists m \in R, \forall x \in X, x \ge m\] it will make sense if, we are talking about lower bound... sorry for the mistake...

  17. chihiroasleaf
    • 3 years ago
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    @tomiko

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