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Physical Sciences and Mathematics Commons

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Full-Text Articles in Physical Sciences and Mathematics

Four Quotient Set Gems, Stephan Ramon Garcia, Michael Someck '14, Bob Lutz '13, Bryan Brown '15, Michael Dairyko '13 Aug 2014

Four Quotient Set Gems, Stephan Ramon Garcia, Michael Someck '14, Bob Lutz '13, Bryan Brown '15, Michael Dairyko '13

Pomona Faculty Publications and Research

Our aim in this note is to present four remarkable facts about quotient sets. These observations seem to have been overlooked by the MONTHLY, despite its intense coverage of quotient sets over the years.


On Crittenden And Vanden Eynden's Conjecture, Florentin Smarandache Jan 2014

On Crittenden And Vanden Eynden's Conjecture, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

It is possible to cover all (positive) integers with n geometrical progressions of integers? Find a necessary and sufficient condition for a general class of positive integer sequences such that, for a fixed n , there are n (distinct) sequences of this class which cover all integers.