Results 41 to 50 of about 80,890 (284)
Study of Special Unbalanced Load Modes of New Double-Autotransformer of the Flexible Alternating Current Link [PDF]
Problems of the Regional EnergeticsThe purpose of the work is study of special asymmetric modes of new three-phase autotrans-former device for flexible connection of alternative current power systems.
Bosneaga V., Suslov V.
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On the structure of sequences with forbidden zero-sum subsequences [PDF]
Colloquium Mathematicum, 2003 The authors study the structure of sequences in \(\mathbb{Z}_n^d\) that avoid zero-sums of length \(n\). Let \(s(\mathbb{Z}_n^d)\) denote the least number \(s\) so that every sequence of \(s\) elements in \(\mathbb{Z}_n^d\) contains \(n\) elements whose sum is \(0 \in \mathbb{Z}_n^d\).
Gao, W. D., Thangadurai, R.
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Zero-sum balanced binary sequences
, 2012 For every positive integer n ≡ 0 mod 4, we construct a zero-sum {±1}-sequence of length n which is balanced, i.e., whose associated Steinhaus triangle contains as many +1’s as −1’s. This implies the existence of balanced binary sequences of every length m ≡ 0 or 3 mod 4, thereby providing a new solution to a problem posed by Steinhaus in 1963.
Eliahou, Shalom +2 more
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A class of hyperrings and hyperfields
International Journal of Mathematics and Mathematical Sciences, 1983 Hyperring is a structure generalizing that of a ring, but where the addition is not a composition, but a hypercomposition, i.e., the sum x+y of two elements, x,y, of a hyperring H is, in general, not an element but a subset of H.
Marc Krasner
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ELOPE, 2011 The proposal that the world is made of sequences of zeros and ones, overtly expressed in DeLillo’s early novel Ratner’s Star (1976), marks the first time in DeLillo’s fiction that he introduces the idea that the (creation of) reality is of mathematical ...
Mirna Radin Sabadoš
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The phase transition for parking on Galton--Watson trees
Discrete Analysis, 2022 The Galton--Watson branching process (which was actually first studied by Bienaymé) is a central concept in probability theory, often taught in a first university course in the subject.
Nicolas Curien, Olivier Hénard
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Sequence Subsums in Zero-Sum Theory
, 2021 The last few years have seen the development and improvement of structural results in the area of sequence subsums over abelian groups. These results often have the flavor that either many elements can be represented as a sum of terms from  a ...
Grynkiewicz, David
core
Topological methods in zero-sum Ramsey theory
Forum of Mathematics, SigmaA landmark result of Erdős, Ginzburg, and Ziv (EGZ) states that any sequence of $2n-1$ elements in ${\mathbb {Z}}/n$ contains a zero-sum subsequence of length n.
Florian Frick +7 more
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Excluding affine configurations over a finite field
Discrete Analysis, 2023 Excluding affine configurations over a finite field, Discrete Analysis 2023:21, 24 pp. In 2016 a remarkable development took place in additive combinatorics, when Ernie Croot, Seva Lev and Péter Pál Pach posted a paper to arXiv using the polynomial ...
Dion Gijswijt
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Soft Sequences and Their Application to NC-Backgammon
Journal of Advanced Research in Natural and Applied SciencesSoft set theory was defined by Molodtsov in 1999 to model problems involving uncertainty. In this study, soft sequences are defined as a special case of soft sets.
Nizam Doğan Çınar, Naim Cagman
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