Results 51 to 60 of about 80,061 (162)

Bannai-Ito polynomials and dressing chains [PDF]

, 2013
Schur-Delsarte-Genin (SDG) maps and Bannai-Ito polynomials are studied. SDG maps are related to dressing chains determined by quadratic algebras. The Bannai-Ito polynomials and their kernel polynomials -- the complementary Bannai-Ito polynomials -- are ...
Derevyagin, Maxim, Tsujimoto, Satoshi, Vinet, Luc, Zhedanov, Alexei   +3 more
core  

Spectrum of the quantum Neumann model

, 2005
We study numerically the spectrum and eigenfunctions of the quantum Neumann model, illustrating some general properties of a non trivial integrable model.Comment: 12 pages, 5 figures.
Avan, Babelon, Babelon, Bernard, Gurarie, M. Bellon, M. Talon, Moser, Mumford, Neumann, Sklyanin, Whittaker   +11 more
core   +2 more sources

Bifurcation Dynamics and Complex Behavior in a Discrete‐Time Predator–Prey Model With Cross‐Species Interaction Incorporating Holling Type‐II Response

Complexity, Volume 2025, Issue 1, 2025.
We investigate the nonlinear dynamics of a discrete‐time predator–prey model governed by a Holling Type‐II functional response. Starting from a biologically motivated continuous‐time system, we derive its discrete analogue via the explicit Euler method and employ nondimensionalization to reduce the number of parameters.
Muhammad Rafaqat, Syed Tauseef Saeed, Salman Saleem, Feyisa Edosa Merga, Xinzhi Liu   +4 more
wiley   +1 more source

Groundwater Quality and Appropriateness for Drinking and Agriculture Purposes Using Water Quality Indices and Multivariate Statistical Analysis in Kombolcha City, Ethiopia

Geofluids, Volume 2025, Issue 1, 2025.
The study used an integrated method of water quality indices (WQIs) and multivariate statistical analysis to evaluate the hydrogeochemical characteristics of groundwater samples and their appropriateness for drinking and agricultural applications in Kombolcha City.
Nurye Mohammed, Kidest Tadesse, Tamru Tesseme Aragaw, Shankar Karuppannan, Senpathi Venkatramanan   +4 more
wiley   +1 more source

Denjoy-Carleman differentiable perturbation of polynomials and unbounded operators

, 2009
Let $t\mapsto A(t)$ for $t\in T$ be a $C^M$-mapping with values unbounded operators with compact resolvents and common domain of definition which are self-adjoint or normal.
A. Frölicher, A. Kriegl, A. Kriegl, A. Kriegl, A. Rainer, A. Rainer, A.A. Albanese, Andreas Kriegl, Armin Rainer, D. Alekseevsky, E. De Giorgi, F. Rellich, F. Rellich, J. Bonet, J. Chaumat, K. Kurdyka, L. Ambrosio, Peter W. Michor, R. Bhatia, R. Bhatia, T. Kato   +20 more
core   +4 more sources

Optimization Method for Decoupled Dual‐Platform Parallel Mechanism Integrating Radial Basis Function Neural Networks and Multobjective Particle Swarm Optimization

Journal of Robotics, Volume 2025, Issue 1, 2025.
With growing demands for machining large‐scale complex components in aerospace and marine engineering, conventional processing methods face bottlenecks, including insufficient rigidity, error accumulation, and limited flexibility. Parallel mechanisms (PMs), with their high stiffness and dynamic pose reconfiguration capability, provide critical ...
Yang Qi, Hong Wang, Jinhan Yang, Sreeja Dattachoudhury   +3 more
wiley   +1 more source

Stability for Inference with Persistent Homology Rank Functions

Computer Graphics Forum, Volume 43, Issue 5, August 2024.
Abstract Persistent homology barcodes and diagrams are a cornerstone of topological data analysis that capture the “shape” of a wide range of complex data structures, such as point clouds, networks, and functions. However, their use in statistical settings is challenging due to their complex geometric structure. In this paper, we revisit the persistent
Qiquan Wang, Inés García‐Redondo, Pierre Faugère, Gregory Henselman‐Petrusek, Anthea Monod   +4 more
wiley   +1 more source

Quasi-exactly solvable quartic: real algebraic spectral locus

, 2011
We describe the real quasi-exactly solvable spectral locus of the PT-symmetric quartic using the Nevanlinna parametrization.Comment: 17 pages, 11 ...
Alexandersson P, Alexandre Eremenko, Andrei Gabrielov, Bender C, Eremenko A, Eremenko A, Eremenko A, Shin K C, Sibuya Y, Volkovyski L   +9 more
core   +4 more sources

Investigating apparent differences between standard DKI and axisymmetric DKI and its consequences for biophysical parameter estimates

Magnetic Resonance in Medicine, Volume 92, Issue 1, Page 69-81, July 2024.
Abstract Purpose The purpose of the study is to identify differences between axisymmetric diffusion kurtosis imaging (DKI) and standard DKI, their consequences for biophysical parameter estimates, and the protocol choice influence on parameter estimation. Methods Noise‐free and noisy, synthetic diffusion MRI human brain data is simulated using standard
Jan Malte Oeschger, Karsten Tabelow, Siawoosh Mohammadi   +2 more
wiley   +1 more source

Local/global analysis of the stationary solutions of some neural field equations

, 2009
Neural or cortical fields are continuous assemblies of mesoscopic models, also called neural masses, of neural populations that are fundamental in the modeling of macroscopic parts of the brain.
Faugeras, Olivier, Veltz, Romain
core   +3 more sources