Results 71 to 80 of about 49,043 (210)

Reintroduction of an Endangered Butterfly, the Mottled Duskywing (Erynnis martialis)

open access: yesAnimal Conservation, EarlyView.
We reintroduced Mottled Duskywing (Erynnis martialis), an endangered skipper butterfly, at different life‐stages to restored oak savanna habitat in Ontario, Canada and then performed intensive post‐release monitoring. Our results show that, at one of three sites, a population was established within two years of initiating releases and that pupae and ...
Michelle Polley   +7 more
wiley   +1 more source

Extended forms of Legendre-Laguerre-based hybrid polynomials and their characteristics via fractional operator approach

open access: yesJournal of Inequalities and Applications
This study presents an extensive generalization of Legendre–Laguerre polynomials along with their Appell-type counterparts. Using the quasi-monomiality approach, we establish core analytical features, including recurrence relations, associated ...
Waseem Ahmad Khan   +4 more
doaj   +1 more source

Investigating the Properties and Dynamic Applications of Δh Legendre–Appell Polynomials

open access: yesMathematics
This research aims to introduce and examine a new type of polynomial called the Δh Legendre–Appell polynomials. We use the monomiality principle and operational rules to define the Δh Legendre–Appell polynomials and explore their properties.
Noor Alam   +3 more
doaj   +1 more source

Coordinating representation registers: linear algebra students' understanding of orthogonal Legendre polynomials in the inner product space ℙn in a technology-assisted learning environment

open access: yesAnnales de Didactique et de Sciences Cognitives, 2018
The purpose of this research study was to understand how linear algebra students in a university in the United States make sense of the orthogonal Legendre polynomials as vectors of the inner product space ℙn in a DGS (Dynamic Geometry Software)-MATLAB ...
Günhan Caglayan
doaj   +1 more source

Fractional Inversion in Krylov Space

open access: yes, 1998
The fractional inverse $M^{-\gamma}$ (real $\gamma >0$) of a matrix $M$ is expanded in a series of Gegenbauer polynomials. If the spectrum of $M$ is confined to an ellipse not including the origin, convergence is exponential, with the same rate as for ...
B. Bunk, Boriçi, Manteuffel
core   +1 more source

Residual permutation tests for feature importance in machine learning

open access: yesBritish Journal of Mathematical and Statistical Psychology, EarlyView.
Abstract Psychological research has traditionally relied on linear models to test scientific hypotheses. However, the emergence of machine learning (ML) algorithms has opened new opportunities for exploring variable relationships beyond linear constraints.
Po‐Hsien Huang
wiley   +1 more source

Orthogonalizing q-Bernoulli polynomials

open access: yesDemonstratio Mathematica
In this study, we utilize the Gram-Schmidt orthogonalization method to construct a new set of orthogonal polynomials called OBn(x,q){{\rm{OB}}}_{n}(x,q) from the q-Bernoulli polynomials.
Kuş Semra, Tuglu Naim
doaj   +1 more source

The telephone polynomials: An Appell-type orthogonal polynomials connecting Hermite–Laguerre polynomials

open access: yesNuclear Physics B
This article investigates a new Appell-type sequence, the telephone polynomials, which extend the classical telephone (involution) numbers. We present their fundamental algebraic properties, structural characterizations, and diverse interconnections with
Kalika Prasad, Munesh Kumari
doaj   +1 more source

Representation of obligate groundwater‐dwelling copepod diversity in European protected areas

open access: yesConservation Biology, EarlyView.
Abstract Groundwaters sustain diverse surface ecosystems and are populated by metazoan species, mostly invertebrates, that provide fundamental ecological functions and are often of prominent conservation value due to narrow endemism and high phylogenetic rarity.
Francesco Cerasoli   +7 more
wiley   +1 more source

On the Generalized Class of Multivariable Humbert-Type Polynomials

open access: yesInternational Journal of Mathematics and Mathematical Sciences
The present paper deals with the class of multivariable Humbert polynomials having generalization of some well-known polynomials like Gegenbauer, Legendre, Chebyshev, Gould, Sinha, Milovanović-Djordjević, Horadam, Horadam-Pethe, Pathan and Khan, a class ...
B. B. Jaimini   +3 more
doaj   +1 more source

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