Results 71 to 80 of about 1,018 (285)
A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws
Advanced Intelligent Discovery, EarlyView.The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows +7 more
wiley +1 more source
Quaternion Algebras over Curves of Genus One Without Rational Points
, 2005 Quaternion algebras over curves of genus one without rational points over perfect fields of characteristic not two are classified. As a consequence, all quaternion algebras over the function field of such a curve, which are unramified everywhere, are ...
Pumplün, Susanne
core +1 more source
Free groups in quaternion algebras
Journal of Algebra, 2013 10 pages, article presented in conferences: Algebra School, Brasilia-Brazil, Brasilia National University (july-2010); Summer 2009 Meeting of CMS in Groups and Hopf Algebras section, St. Jonh's-Canada, Memorial University of Newfoundland (June-2009); Groups, Rings and Group Rings, Ubatuba-Brazil (july-2008)
Juriaans, S.O., Souza Filho, A.C.
openaire +2 more sources
Advanced Intelligent Discovery, EarlyView.This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley +1 more source
Representation of Integral Formulas for the Extended Quaternions on Clifford Analysis
MathematicsThis work addresses a significant gap in the existing literature by developing integral representation formulas for extended quaternion-valued functions within the framework of Clifford analysis. While classical Cauchy-type and Borel–Pompeiu formulas are
Ji Eun Kim
doaj +1 more source
Quaternion constituents of group algebras [PDF]
Proceedings of the American Mathematical Society, 1971 In this paper it is shown that each quaternion division algebra central over the rationals appears as a division ring constituent of some rational group algebra.
openaire +2 more sources
Advanced Intelligent Systems, EarlyView.This study proposes a deep learning approach to evaluate the fatigue crack behavior in metals under overload conditions. Using digital image correlation to capture the strain near crack tips, convolutional neural networks classify crack states as normal, overload, or recovery, and accurately predict fatigue parameters.
Seon Du Choi +5 more
wiley +1 more source
MathematicsWe introduce a new class of division algebras, the hyperpolyadic algebras, which correspond to the binary division algebras R, C, H, O without considering new elements. First, we use the matrix polyadization procedure proposed earlier which increases the
Steven Duplij
doaj +1 more source
Pre‐Curved Everting Robots With Embedded Steering Intelligence Fabricated by CO2 Laser Welding
Advanced Intelligent Systems, EarlyView.Design and experimental demonstration of a laser welded growing robot for anatomically guided navigation. The robot follows an aortic arch phantom entering the branchiocephalic branch through steering by design. The figure shows the physical phantom setup, CAD defined weld geometry and full robot eversion.
Brandon Saldarriaga +5 more
wiley +1 more source
American Journal of Agricultural Economics, EarlyView.Abstract This paper derives a firm‐level threshold, the Herfindahl Neutral Point, from the standard concentration index used in merger review. At this threshold, a marginal expansion leaves the index unchanged. Firms below the threshold reduce concentration when they expand; firms above it increase concentration.
Andrew J. Keller, Krishna P. Paudel
wiley +1 more source