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Applied Mathematics Commons

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Rose-Hulman Institute of Technology

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Articles 91 - 92 of 92

Full-Text Articles in Applied Mathematics

Sets Of Typical Subsamples, Joel Atkins, G.J Sherman Sep 1990

Sets Of Typical Subsamples, Joel Atkins, G.J Sherman

Mathematical Sciences Technical Reports (MSTR)

A group theoretic condition on a set of subsamples of a random sample from a continuous random variable symmetric about 0 is shown to be sufficient to provide typical values for 0.


Rewriteable Sequencings Of Groups, Jeanne Nielsen Aug 1990

Rewriteable Sequencings Of Groups, Jeanne Nielsen

Mathematical Sciences Technical Reports (MSTR)

A finite group is called Pn-sequenceable if its nonidentity elements can be listed x1 , x2 , ..., xk so that the product x i x i+i · · · x i+n-1 can be rewritten in at least one nontrivial way for all i. It is shown that Sn , An , Dn are P3-sequenceable, that every finite simple group is P4 -sequenceable, and that every finite group is Ps-sequenceable. It is conjectured that every finite group is P3-sequenceable.