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marriage theorem

   Also found in: Wikipedia 0.03 sec.
marriage theorem [′mar·ij ‚thir·əm]
(mathematics)
The proposition that a family ofnsubsets of a setSwithnelements is a system of distinct representatives forSif anykof the subsets,k= 1, 2, …,n, together contain at leastkdistinct elements. Also known as Hall's theorem.


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