Re: [algogeeks] Cartesian Product in set theory

2010-02-09 Thread Parisa

Not indeed.

Cartesian product produces tuples as the result, but I am interested  
in the set form of these tuples.


if there are two sets like X={A,B,C}  Y={A,B}

then The Cartesian product will be:

X.Y={(A,A),(A,B),(B,A),(B,B),(C,A),(C,B)}

Whereas if insted of tuples sets were produced it would be like the  
followings:


X.Y={{A}, {A,B}, {B}, {A,C}, {B,C}}

P.


On Feb 9, 2010, at 5:21 AM, vignesh radhakrishnan wrote:

The unordered pair will be a subset of cartesian product. What is  
the significance of it?


On 8 February 2010 21:18, pinco1984 paris...@gmail.com wrote:
Hi all,

I have came across a problem and I am not aware if there is such a
thing in set theory and if so what is it called.

Mainly I have several sets that I am interested in their cartesian
product. But this cartesian product should not be a set of ordered
pairs but a set of sets. Basically unordered pairs.

I wonder if this concept is well defined and what is it called.

Thanks.
P.

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Parisa





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Re: [algogeeks] Cartesian Product in set theory

2010-02-09 Thread Parisa
Yes, it is, and that is my question. What if instead of ordered pairs  
it is sets. Is this concept well defined? I mean no one can use  
cartesian product anymore to represent this staff. What is the  
operation for this.


On Feb 9, 2010, at 2:01 PM, saurabh gupta wrote:


http://en.wikipedia.org/wiki/Cartesian_product

it is defined as a set of ordered pairs.


On Tue, Feb 9, 2010 at 9:51 AM, vignesh radhakrishnan rvignesh1...@gmail.com 
 wrote:
The unordered pair will be a subset of cartesian product. What is  
the significance of it?



On 8 February 2010 21:18, pinco1984 paris...@gmail.com wrote:
Hi all,

I have came across a problem and I am not aware if there is such a
thing in set theory and if so what is it called.

Mainly I have several sets that I am interested in their cartesian
product. But this cartesian product should not be a set of ordered
pairs but a set of sets. Basically unordered pairs.

I wonder if this concept is well defined and what is it called.

Thanks.
P.

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Parisa





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