A new look at multisets
نویسنده
چکیده
We consider a new way of looking at multisets, involving linear rather than multiplicative notation and operations which mirror those on natural numbers. The motivation is to create a framework for mathematics which more closely connects with scientific usage in which repetition and relative concepts of equality play an important role. The tropical calculus is introduced as an important tool. and new versions of exclusion/inclusion, the Pigeonhole principle, and Hall’s theorem are given.
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