Research field
Mathematics, probability, statistics, data science, and modeling.
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
In a short laboratory task, pairs with better-than-expected joint performance had more aligned predictions of their own actions and relied less on sensory evidence.
Communications psychology4 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
In a laboratory experiment, all six participants showed a similar rise in priming as the gap between a brief arrow prime and its mask grew, while awareness varied widely. A direct comparison found a conditional advantage for the indirect task at short intervals in three participants.
Neuroscience of consciousness4 min read
A retrospective comparison of 125 patients linked oblique-viewing endoscopes to a higher rate of one-piece resection during papillectomy. Procedures were longer, while the study reported no statistically significant differences in adverse events or postoperative hospitalization.
Digestive diseases and sciences3 min read
Simulations and phantom tests suggest a fixed microwave band can register dielectric loading, while anatomy and antenna placement shape the size of the signal.
Scientific reports5 min read
A multiscale model guided a virtual screen that yielded seven HPK1 compounds above the study’s activity threshold, including one with a reported 0.41 nM IC50, while broader screening results were mixed.
Advanced science (Weinheim, Baden-Wurttemberg, Germany)5 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