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Sets?

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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??? :confused:

that set operation is \

 

and is defined as

 

[A \ B:={x:x in A and x not in B}

  • Author

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]

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.

can somebody tell me what a 'set' is?

  • Author

That is good, but it doesn't give codes for anything!!!

im completely baffled as well. can u explain what u meant by that Freeman

maybe he has discovered some interesting property about [math]\mathbb{C}[/math]\{4}

 

that noone knows about

  • Author

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...

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.

I am still confused by the meaning of ordered pair (a,b)

  • Author

Thanks Dave!

 

Where is the mathematica code manual? How would I put this into mathematica???

 

Thanks a lot Dave!

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