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- W789831312 abstract "This paper consists of two parts. In the first part the following problem is presented (see [1]): a king invites n couples for dinner at his round table with 2n+1 seats. For each couple there is an in advance prescribed distance between 1 and n at which the two spouses of the couple have to be seated from each other. We show that there is a solution to the king’s problem for every choice of distances between 1 and n if and only if the number of seats around the table, i.e. 2n + 1, is a prime number. In the second part we extend the following observation (see [3]): If two real multisets have different means then the multiset with the larger mean has an element larger than some element of the other multiset. We show that there exists a decreasing sequence of k + 1 elements that alternate between two multisets whose means as well as first k − 1 central moments agree. We also present an analoge to the result stated in terms of zeros of polynomials. (Less)" @default.
- W789831312 created "2016-06-24" @default.
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- W789831312 date "2011-01-01" @default.
- W789831312 modified "2023-09-27" @default.
- W789831312 title "A New Characterization of Prime Numbers and Alternations of Multisets" @default.
- W789831312 hasPublicationYear "2011" @default.
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