Subject
Proofs, structures, equations, geometry, topology, and applied mathematics.
A symbolic study of real Cayley-Dickson algebras constructs a six-cycle and a double-hexagon graph, then sets out conditional rules for subalgebras and basis-form zero divisors.
S. Zhilina, Orthogonality graphs of real Cayley-Dickson algebras. Part I: Doubly alternative zero divisors and their hexagons, Int. J. Algebra Comput. 31(4) (2021) 663-6894 min read
A prospective Taiwan study found language-specific differences in the Animal Naming Test, while adding serum IL-6 produced a higher but unconfirmed result among Mandarin speakers.
The Kaohsiung journal of medical sciences5 min read
A mathematical study finds that a carefully defined graph built from selected zero divisors can recover key parameters of real Cayley-Dickson algebras, although the result does not apply unchanged to the full graph or the lowest dimensions.
S. Zhilina, Orthogonality graphs of real Cayley-Dickson algebras. Part II: The subgraph on pairs of basis elements, Int. J. Algebra Comput. 31(4) (2021) 691-7253 min read
A mathematical exposition explains how algebraic and analytic rank are defined for elliptic curves and reviews partial results, numerical evidence and applications that leave the Birch and Swinnerton-Dyer conjecture open.
Matemática Contemporânea, Volume 61, pages 153-173 (2025)4 min read