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Selection with support: How cross-modal attention shapes smooth pursuit eye movements. [PDF]

Psychol Res
Kaye G, Ricci AC, Weaire E, Syed Z, Gasson N, Corti EJ, Marinovic W.   +6 more
europepmc   +1 more source

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Representation of zero-sum invariants by sets of zero-sum sequences over a finite abelian group

Periodica Mathematica Hungarica, 2021
Let \((G,+)\) be a finite abelian group with identity element \(0\). Denote by \(\mathcal{F}(G)\) the set of finite sequences over \(G\). For a sequence \(T\in\mathcal{F}(G)\) and an element \(g\in G\) denote by \(v_g(T)\) the multiplicity of \(g\) in \(T\).
Weidong Gao, Wanzhen Hui, Gao Weidong
exaly   +4 more sources

On the structure of long zero-sum free sequences and n-zero-sum free sequences over finite cyclic groups

Archiv Der Mathematik, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Weidong Gao, Yuanlin Li, Pingzhi Yuan
exaly   +2 more sources

On zero-sum subsequences of restricted size II

Discrete Mathematics, 2003
Let G be a finite abelian group of exponent m, and k a positive integer. Let skm(G) be the smallest integer t such that every sequence of t elements in G contains a zero-sum subsequence of length km.
W D Gao
exaly   +2 more sources

Contributions to zero-sum problems

Discrete Mathematics, 2006
A prototype of zero-sum theorems, the well-known theorem of Erdős, Ginzburg and Ziv says that for any positive integer n, any sequence a1,a2,...,a2n-1 of 2n-1 integers has a subsequence of n elements whose sum is 0 modulo n.
Francesco Pappalardi
exaly   +3 more sources

Indexes of unsplittable minimal zero-sum sequences of length I(Cn)−1

Discrete Mathematics, 2010
Let G be a finite abelian group and S=g1⋯gl a minimal zero-sum sequence of elements in G. We say that S is unsplittable if there do not exist an element gi∈supp(S) and two elements x,y∈G such that x+y=gi and Sa−1xy is a minimal zero-sum sequence as well.
Pingzhi Yuan
exaly   +2 more sources

On zero-sum sequences of prescribed length

Aequationes mathematicae, 2006
Let k ≥ 1 be any integer. Let G be a finite abelian group of exponent n. Let sk(G) be the smallest positive integer t such that every sequence S in G of length at least t has a zero-sum subsequence of length kn. We study this constant for groups \(G \cong {\user2{{\mathbb{Z}}}}^{d}_{n}\) when d = 3 or 4. In particular, we prove, as a main result, that \
Weidong Gao, Ravindranathan Thangadurai
openaire   +1 more source

ON A PROPERTY OF MINIMAL ZERO-SUM SEQUENCES AND RESTRICTED SUMSETS

Bulletin of the London Mathematical Society, 2005
Let \(G\) be an additively written abelian group, and let \(S\) be a sequence in \(G\backslash \{0\}\) with length \(| S | \geq 4\). Suppose that \(S\) is a product of two subsequences, say \(S=BC\) such that the element \(g+h\) occurs in the sequence \(S\) whenever \(g \cdot h\) is a subsequence of \(B\) or \(C\).
Gao, Weidong, Geroldinger, Alfred
openaire   +2 more sources