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On unimodality of Hilbert functions of Artinian level algebras of codimension 3 and type 2 and 3
(University of Missouri--Columbia, 2014)
[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] We prove the unimodality of the Hilbert Function for some classes of codimension three graded algebras of Cohen-Macaulay types 2 and 3. The method of ...
Results on the Collatz ConjectureResults on the Collatz Conjecture
(University of Missouri--Columbia, 2014)
[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] Given a starting value, we can create a sequence using the rule that if the previous number, x, is even, then the next number is [x/2], and if the ...