Freeman Posted July 23, 2004 Share Posted July 23, 2004 I have a question, I forget what the symbol is for this set problem: {1,2,3,4,5,6,7,8,9,10} ??? {4,6,8,9,10}= {1,2,3,5,7} What is it??? Link to comment Share on other sites More sharing options...
bloodhound Posted July 23, 2004 Share Posted July 23, 2004 that set operation is \ and is defined as [A \ B:={x:x in A and x not in B} Link to comment Share on other sites More sharing options...
Dave Posted July 23, 2004 Share Posted July 23, 2004 or, typeset in lovely latexy goodness: [math]A \;\backslash\; B = \{ x\: | \: x \in A, x\notin B \}[/math] Link to comment Share on other sites More sharing options...
Freeman Posted July 23, 2004 Author Share Posted July 23, 2004 How would I write this in mathematica code??? The equation: [math] A\:\backslash\; B = \{x\: l \:x \in A, x\notin B \} [/math] Where A is the set of all whole postive integers, and B is the set of [math] ^c\{D \times E\}_{D,E=2}[/math] Link to comment Share on other sites More sharing options...
bloodhound Posted July 23, 2004 Share Posted July 23, 2004 got no idea what u mean by B Link to comment Share on other sites More sharing options...
e(ho0n3 Posted July 23, 2004 Share Posted July 23, 2004 The other symbol you can use is "-", e.g. A - B. I don't know which one is more standard though. Personally, I like "-" better. Link to comment Share on other sites More sharing options...
bloodhound Posted July 23, 2004 Share Posted July 23, 2004 well. \ is used in our uni course Link to comment Share on other sites More sharing options...
ed84c Posted July 23, 2004 Share Posted July 23, 2004 can somebody tell me what a 'set' is? Link to comment Share on other sites More sharing options...
e(ho0n3 Posted July 23, 2004 Share Posted July 23, 2004 Maybe this link will help: http://mathworld.wolfram.com/Set.html Link to comment Share on other sites More sharing options...
Freeman Posted July 23, 2004 Author Share Posted July 23, 2004 That is good, but it doesn't give codes for anything!!! Link to comment Share on other sites More sharing options...
Dave Posted July 24, 2004 Share Posted July 24, 2004 [math'] ^c\{D \times E\}_{D,E=2}[/math] This makes absolutely no mathematical sense. Link to comment Share on other sites More sharing options...
bloodhound Posted July 24, 2004 Share Posted July 24, 2004 im completely baffled as well. can u explain what u meant by that Freeman Link to comment Share on other sites More sharing options...
bloodhound Posted July 24, 2004 Share Posted July 24, 2004 unless , its his new twisted way of writing the set {4} Link to comment Share on other sites More sharing options...
Dave Posted July 24, 2004 Share Posted July 24, 2004 But why would you have that complement thing? That's just silly. Link to comment Share on other sites More sharing options...
bloodhound Posted July 24, 2004 Share Posted July 24, 2004 maybe he has discovered some interesting property about [math]\mathbb{C}[/math]\{4} that noone knows about Link to comment Share on other sites More sharing options...
Freeman Posted July 24, 2004 Author Share Posted July 24, 2004 No, what I mean is the limit to the set {LxM} is c, L is at least 2 and so is M. The set of every solution of this is the set I was trying to write... Link to comment Share on other sites More sharing options...
Dave Posted July 25, 2004 Share Posted July 25, 2004 Okay, firstly something you should know in regards to set theory notation: Firstly, most sets are defined using uppercase letters. Secondly, the operation A x B where A and B are sets is defined as the cartesian product of a set, notably: [math]A \times B = \{ (a,b) \: | \: a \in A, b \in B \}[/math] The proper mathematical way of defining your set is as follows: [math]S = \{ (l, m) \: | \: l, m \in \mathbb{R}, l, m \geq 2\}[/math] Unless, of course, I've made a mistake. Link to comment Share on other sites More sharing options...
bloodhound Posted July 25, 2004 Share Posted July 25, 2004 I am still confused by the meaning of ordered pair (a,b) Link to comment Share on other sites More sharing options...
Dave Posted July 25, 2004 Share Posted July 25, 2004 http://www.math.com/school/glossary/defs/ordered_pair.html Link to comment Share on other sites More sharing options...
Freeman Posted July 25, 2004 Author Share Posted July 25, 2004 Thanks Dave! Where is the mathematica code manual? How would I put this into mathematica??? Thanks a lot Dave! Link to comment Share on other sites More sharing options...
Dave Posted July 25, 2004 Share Posted July 25, 2004 Huh? How would putting this set into mathematica help with anything in the slightest? Link to comment Share on other sites More sharing options...
bloodhound Posted July 25, 2004 Share Posted July 25, 2004 what are u trying to do with it anyway? Link to comment Share on other sites More sharing options...
Dave Posted July 25, 2004 Share Posted July 25, 2004 I think if we knew what the problem was, then we'd be able to help a bit. Link to comment Share on other sites More sharing options...
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