Hyperbolic Numbers and the Dirac Spinor
, 1998 A representation of the Lorentz group is given in terms of 4 X 4 matrices defined over the hyperbolic number system. The transformation properties of the corresponding four component spinor are studied, and shown to be equivalent to the transformation properties of the complex Dirac spinor.
openaire +2 more sources
Hyperbolic Numbers in Modeling Genetic Phenomena
, 2019 The article is devoted to applications of 2-dimensional hyperbolic numbers and their algebraic 2n-dimensional extensions in modeling some genetic and cultural phenomena. Mathematical properties of hyperbolic numbers and their bisymmetric matrix representations are described in a connection with their application to analyze the following structures ...
openaire +5 more sources
Integral Betti signatures of brain, climate and financial networks compared to hyperbolic, Euclidean and spherical models. [PDF]
Sci RepCaputi L, Pidnebesna A, Hlinka J.
europepmc +1 more source
Walks with jumps: a neurobiologically motivated class of paths in the hyperbolic plane. [PDF]
J Math BiolDeBlois J, Einstein E, Victor JD.
europepmc +1 more source
Tunable Structural Color in Au-Based One-Dimensional Hyperbolic Metamaterials. [PDF]
Nanomaterials (Basel)Téllez-Limón R +7 more
europepmc +1 more source
Analysis of inverse problem for pseudo-hyperbolic equation under periodic boundary condition. [PDF]
Sci RepBağlan İ +4 more
europepmc +1 more source
Dynamic soliton solutions and stability analysis of the (2+1)-dimensional Wazwaz Kaur Boussinesq equation using an efficient method. [PDF]
Sci RepElsonbaty NM +3 more
europepmc +1 more source
Multi-order hyperbolic graph convolution and aggregated attention for social event detection. [PDF]
PLoS OneLiu Y, Tan TP, Liu Z, Li Y.
europepmc +1 more source
A community public health emergency resilience assessment framework based on contrastive learning and hyperbolic embedding. [PDF]
Front Public HealthWen Q, Ismail M, Abdul Nasir MH.
europepmc +1 more source