anonymous
  • anonymous
what does this symbol mean in math? http://i45.tinypic.com/35k200h.jpg
Mathematics
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
the V and the other one turned upside down? ?
anonymous
  • anonymous
The way I've seen it used,V means union of sets and upside down triangle means intersection of sets.
anonymous
  • anonymous
apparently there's a DIFFERENT meaning :|

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anonymous
  • anonymous
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?
UnkleRhaukus
  • UnkleRhaukus
\[\Large\bigvee_{m\in \mathbb R}\bigwedge_{x\in X}x\geq m\] \(x\) is greater than or equal to \(m\) , OR \(m\) is an element of the real numbers , And \(x\) is in the set \(X\) .
UnkleRhaukus
  • UnkleRhaukus
\(\land\) and \(\lor\) or
UnkleRhaukus
  • UnkleRhaukus
\[X\subset\mathbb R\] the set \(X\) is a subset of the real numbers
UnkleRhaukus
  • UnkleRhaukus
@Rudy \(A\cup B\) is the union of sets \(A, B\) \(A\cap B\) is the intersection
chihiroasleaf
  • chihiroasleaf
@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... :)
anonymous
  • anonymous
@chihiroasleaf exactly what i wanted!! thank to @UnkleRhaukus too!!
chihiroasleaf
  • chihiroasleaf
but I think, \[X \subset R\] is said to have a lower bound if \[\exists m \in R,\] such that \[\forall x \in R \rightarrow x \ge m \]
UnkleRhaukus
  • UnkleRhaukus
the fancy names are conjunctions (and) , disjunction (or)
chihiroasleaf
  • chihiroasleaf
yes.., they usually use for logic, it's my first time see these symbol use in this subject... :D
anonymous
  • anonymous
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.
chihiroasleaf
  • chihiroasleaf
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
chihiroasleaf
  • chihiroasleaf
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...
chihiroasleaf
  • chihiroasleaf
@tomiko

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