Bidiagonal factorization of the recurrence matrix for the Hahn multiple orthogonal polynomials
Amílcar Branquinho +3 more
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Multiple orthogonal polynomials, irrationality and transcendence
, 1999 We explain the notion of multiple orthogonal polynomials (polyorthogonal polynomials), which is closely related to Hermite-Padé rational approximation of a system of Markov functions, and give some explicit examples. As an application we show how multiple orthogonal polynomials can be used to give a constructive proof of irrationality of certain real ...
openaire +1 more source
The Geometry of Layer 2/3 Cortical Sound Processing in Slow Wave Sleep
Advanced Science, Volume 13, Issue 7, 3 February 2026.Sleep is associated with a sensory disconnection whose mechanisms remain elusive. Large neuronal population recordings in the auditory cortex revealed that, in NREM sleep, the neural code for sounds is highly similar to wakefulness, but coordinated modulations of neuron responsiveness intermittently disconnect the local cortical networks from sensory ...
Allan Muller +3 more
wiley +1 more source
Exploring new lengths for q-ary quantum MDS codes with larger distance. [PDF]
PLoS OneHe X, Wang J, Huang C, Chen Y.
europepmc +1 more source
Convergence properties of dynamic mode decomposition for analytic interval maps
Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 179-206, February 2026.Abstract Extended dynamic mode decomposition (EDMD) is a data‐driven algorithm for approximating spectral data of the Koopman operator associated to a dynamical system, combining a Galerkin method with N$N$ functions and a quadrature method with M$M$ quadrature nodes.
Elliz Akindji +3 more
wiley +1 more source
Projective hypersurfaces in tropical scheme theory I: the Macaulay ideal. [PDF]
Res Math SciFink A +3 more
europepmc +1 more source
A canonical family of multiple orthogonal polynomials for Nikishin systems
, 2010 G. López Lagomasino, I.A. Rocha
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An Ecological Definition and Objective Threshold for Differentiating Small Fragments
Ecology and Evolution, Volume 16, Issue 2, February 2026.Many ecological phenomena vary with fragment size. To quantify the impacts of small fragments on ecological pattern and process, one must differentiate them, but there is no agreed way to achieve this. We present an objective definition and method to identify a threshold size for small fragments that requires minimal data and can be readily calculated ...
David C. Deane +2 more
wiley +1 more source
Modeling and analysis of fascioliasis disease with Katugampola fractional derivative: a memory-incorporated epidemiological approach. [PDF]
Sci RepPandey RK, Nisar KS.
europepmc +1 more source
Selectivity Beyond Mass: Real‐Time Isomer Separation Using SLIM IMS Coupled to PTR‐MS
Journal of Mass Spectrometry, Volume 61, Issue 2, February 2026.ABSTRACT Proton‐transfer‐reaction—mass spectrometry (PTR‐MS) provides real‐time analysis of volatile organic compounds (VOCs) relevant to atmospheric research, food and flavor characterization, industrial process control, and medical applications. However, PTR‐MS is inherently limited in its ability to resolve isomers of molecules with the same mass‐to‐
Jacob Jordan +6 more
wiley +1 more source