Designing compact repair groups for Reed-Solomon codes

TX Dinh, S Boztas, SH Dau… - 2023 IEEE International …, 2023 - ieeexplore.ieee.org
Motivated by the application of Reed-Solomon codes to recently emerging decentralized
storage systems such as Storj and Filebase/Sia, we study the problem of designing compact …

Iconicity in mathematical notation: Commutativity and symmetry

TE Wege, S Batchelor, M Inglis, H Mistry, D Schlimm - 2020 - escholarship.mcgill.ca
Mathematical notation includes a vast array of signs. Most mathematical signs appear to be
symbolic, in the sense that their meaning is arbitrarily related to their visual appearance. We …

Hardness Amplification via Group Theory

T Nareddy, A Mishra - arXiv preprint arXiv:2411.09619, 2024 - arxiv.org
We employ techniques from group theory to show that, in many cases, counting problems on
graphs are almost as hard to solve in a small number of instances as they are in all …

General pseudo quasi-overlap functions on lattices

REB Paiva, BRC Bedregal - Axioms, 2022 - mdpi.com
The notion of general quasi-overlaps on bounded lattices was introduced as a special class
of symmetric n-dimensional aggregation functions on bounded lattices satisfying some …

Time complexity of broadcast and consensus for randomized oblivious message adversaries

A El-Hayek, M Henzinger, S Schmid - arXiv preprint arXiv:2302.11988, 2023 - arxiv.org
Broadcast and consensus are most fundamental tasks in distributed computing. These tasks
are particularly challenging in dynamic networks where communication across the network …

[PDF][PDF] Investigating processes of internalisation of values through theatre for development

T Courtney, J Battye - Journal of Social and Political …, 2018 - journals.psychopen.eu
Used in many communities, Theatre for Development (TfD) allows performers and
audiences to interrogate their cultural history and their society to promote positive social …

New Approaches to the Octonions and Their Maximal Orders

CM Depies - 2024 - search.proquest.com
Abstract The associative Cayley-Dickson algebras over the field of real numbers are also
Clifford algebras. The alternative but non-associative real Cayley-Dickson algebras, notably …

Octonions as Clifford-like algebras

CM Depies, JDH Smith, MD Ashburn - Journal of Algebra, 2024 - Elsevier
Abstract The associative Cayley-Dickson algebras over the field of real numbers are also
Clifford algebras. The alternative but nonassociative real Cayley-Dickson algebras, notably …

On some classes of nullnorms and h-pseudo homogeneity

L Lima, B Bedregal, M Rocha, A Castillo-Lopez… - Fuzzy Sets and …, 2022 - Elsevier
Nullnorms are aggregation functions which generalize t-norms and t-conorms. For each
nullnorm there exists an annihilator element such that, below it, the function behaves like a t …

[PDF][PDF] On the Structure of the ultra-groups over a fnite group

G Moghaddasi, B Tolue… - Scientific Bulletin of UPB …, 2016 - scientificbulletin.upb.ro
HM which depends on the group G and its subgroup H. An ultra-group is defined by the use
of the transversal in a group. Moreover, the elementary properties of an ultra-group are …