… first such permutation. We call a permutation arising in this way a Sós permutation. We
denote the set of Sós permutations of size n by S ó s n = { π α , β ( n ) : α , β ∈ [ 0 , 1 ) } . …

… permutations, permutations of Zn which map intervals to sets with low discrepancy. Here we
show that several natural number-theoretic permutations … our results on Sós permutations to …

… a bijection between Sós permutations and regions … Sós permutation π = 07531642. From
the picture it seems plausible that a small change in the slope α will not change the permutation …

… permutation π and σ ≤ π then σ must also lie in C . Given any set X of permutations, one way
to obtain a permutation … 231-avoiding permutations (including the empty permutation), we …

Intersection properties of sets have been widely investigated by many authors. One type of
theorems proved for them has the following form [9]. Let S be an n-element set and AI...., AN£ …

… permutations, where we identify limit permutations that are equal almost everywhere. By
Theorem 1.6 the subspace of permutations … converge to a permutation without being eventually …

… Permutations, we study the problem of the Roller Coaster permutations, which are permutations
… This special class of permutations was introduced in 2013 by T. Ahmed and H. Snevily …

… of computing the sum of squares (SOS) representation of a given … SOS programs have been
applied to solve numerous … The standard method for computing a SOS decomposition can …

… of the Sós permutations of a given degree to the set of the same kind with the degree
increased by one, without referring to the underlying parameters defining the Sós permutations or …

… has been extensively studied, so we will not give an overview of what is known about SOS
here… reason is that our SOS lower bound relies heavily on symmetry under permutations of [n]. …