Results 261 to 270 of about 80,890 (284)

Non-vectorial integration of intersectional short-pulse stimulation enables enhanced deep brain modulation and effective seizure control. [PDF]

open access: yesCommun Med (Lond)
Földi T   +19 more
europepmc   +1 more source

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 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

On the order of elements in long minimal zero-sum sequences

Periodica Mathematica Hungarica, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Weidong Gao 0001, Alfred Geroldinger
openaire   +2 more sources

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