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Theory of Computation Theoretical Computer Science - Automata Theory, Computability Theory, and Computational Complexity Theory


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December 27th, 2010, 10:35 AM   #1
 
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Quotient of a set

What does 'quotient of one set with other' means...? Also, what is the quotient of CFL with Regular Set...?
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April 10th, 2011, 04:28 AM   #2
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Re: Quotient of a set

A quotient set is usually a set of representatives of an initial set for a given equivalence relation (i.e. you partition your initial set according to a certain rule called "equivalence relation"; the subsets constituting this partition are called "equivalence classes").
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December 9th, 2011, 02:45 AM   #3
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Re: Quotient of a set

But now I want to typeset the quotient set S/~. If I write $S/\sim$, it comes out looking ugly: there is extra whitespace on both sides of the "~" symbol.
 
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