Re: [algogeeks] Cartesian Product in set theory
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. -- You received this message because you are subscribed to the Google Groups Algorithm Geeks group. To post to this group, send email to algoge...@googlegroups.com. To unsubscribe from this group, send email to algogeeks+unsubscr...@googlegroups.com . For more options, visit this group at http://groups.google.com/group/algogeeks?hl=en . -- You received this message because you are subscribed to the Google Groups Algorithm Geeks group. To post to this group, send email to algoge...@googlegroups.com. To unsubscribe from this group, send email to algogeeks+unsubscr...@googlegroups.com . For more options, visit this group at http://groups.google.com/group/algogeeks?hl=en . Parisa -- You received this message because you are subscribed to the Google Groups Algorithm Geeks group. To post to this group, send email to algoge...@googlegroups.com. To unsubscribe from this group, send email to algogeeks+unsubscr...@googlegroups.com. For more options, visit this group at http://groups.google.com/group/algogeeks?hl=en.
Re: [algogeeks] Cartesian Product in set theory
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. -- You received this message because you are subscribed to the Google Groups Algorithm Geeks group. To post to this group, send email to algoge...@googlegroups.com. To unsubscribe from this group, send email to algogeeks+unsubscr...@googlegroups.com . For more options, visit this group at http://groups.google.com/group/algogeeks?hl=en . -- You received this message because you are subscribed to the Google Groups Algorithm Geeks group. To post to this group, send email to algoge...@googlegroups.com. To unsubscribe from this group, send email to algogeeks+unsubscr...@googlegroups.com . For more options, visit this group at http://groups.google.com/group/algogeeks?hl=en . -- Man goes to doctor. Says he's depressed. Says life seems harsh and cruel. Says he feels all alone in a threatening world where what lies ahead is vague and uncertain. Doctor says Treatment is simple. Great clown Pagliacci is in town tonight. Go and see him. That should pick you up. Man bursts into tears. Says But, doctor...I am Pagliacci. -- You received this message because you are subscribed to the Google Groups Algorithm Geeks group. To post to this group, send email to algoge...@googlegroups.com. To unsubscribe from this group, send email to algogeeks+unsubscr...@googlegroups.com . For more options, visit this group at http://groups.google.com/group/algogeeks?hl=en . Parisa -- You received this message because you are subscribed to the Google Groups Algorithm Geeks group. To post to this group, send email to algoge...@googlegroups.com. To unsubscribe from this group, send email to algogeeks+unsubscr...@googlegroups.com. For more options, visit this group at http://groups.google.com/group/algogeeks?hl=en.