Results 81 to 90 of about 5,765 (234)

On the Generalized Class of Multivariable Humbert-Type Polynomials

International 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, null Meenu, S. D. Purohit, D. L. Suthar   +3 more
doaj   +1 more source

Collocation Method via Jacobi Polynomials for Solving Nonlinear Ordinary Differential Equations

International Journal of Mathematics and Mathematical Sciences, 2011
We extend a collocation method for solving a nonlinear ordinary differential equation (ODE) via Jacobi polynomials. To date, researchers usually use Chebyshev or Legendre collocation method for solving problems in
Ahmad Imani, Azim Aminataei, Ali Imani
doaj   +1 more source

Root and leaf litter diversity below‐ground shape soil carbon stabilization and priming through altered decomposition dynamics

Functional Ecology, EarlyView.
Read the free Plain Language Summary for this article on the Journal blog. Abstract Root and leaf turnover is a major contributor to soil organic carbon (SOC) dynamics and storage. However, while roots of multiple species occur in soils, and leaves are often incorporated to soil by bioturbation processes, it remains unknown how litter mixing in soils ...
Raoul Huys, Vincent Poirier, Grégoire T. Freschet   +2 more
wiley   +1 more source

Statistical analyses of ecological multinomial time series to identify environmental drivers and biotic interactions

Methods in Ecology and Evolution, EarlyView.
Abstract Understanding the drivers of change in communities is a major goal of paleoecology and community ecology, but statistical inference from multivariate time series is challenged by relative (rather than absolute) abundance data, observation uncertainty and missing data due to uneven sampling through time.
Quinn Asena, John W. Williams, Jonathan Johnson, Bryan Shuman, Vania Stefanova, Anthony Ives   +5 more
wiley   +1 more source

On Fractional Orthonormal Polynomials of a Discrete Variable

Discrete Dynamics in Nature and Society, 2015
A fractional analogue of classical Gram or discrete Chebyshev polynomials is introduced. Basic properties as well as their relation with the fractional analogue of Legendre polynomials are presented.
I. Area, J. D. Djida, J. Losada, Juan J. Nieto   +3 more
doaj   +1 more source

Residual permutation tests for feature importance in machine learning

British 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

Legendre polynomial order selection in projection pursuit density estimation

Lietuvos Matematikos Rinkinys, 2013
Projection pursuit method and its application to probability density estimation is discussed. Method proposed by J.H. Friedman, based on projection density estimation using orthogonal Legendre polynomials, is analysed.
Mindaugas Kavaliauskas
doaj   +1 more source

The Product of Two Legendre Polynomials [PDF]

Proceedings of the Glasgow Mathematical Association, 1953
1. It is known that any polynomial in μ. can be expanded as a linear function of Legendre polynomials [1]. In particular, we haveThe earlier coefficients, say A0, A2, A4 may easily be found by equating the coefficients of μp+q, μp+q-2, μp+q-4 on the two sides of (1).
openaire   +2 more sources

Thermal Thresholds and Genetic Sensitivity in Barrel Racing Performance of Quarter Horses Across Temperature–Humidity Indices

Journal of Animal Breeding and Genetics, EarlyView.
ABSTRACT Heat stress is an increasingly important challenge for the performance and welfare of equine athletes, particularly in competitions conducted across diverse climatic conditions. Understanding the genetic basis of performance responses to increasing thermal load is therefore essential to support robust genetic evaluation and sustainable ...
Mário Luiz Santana, Annaiza Braga Bignardi   +1 more
wiley   +1 more source

Congruences concerning Legendre polynomials II [PDF]

Journal of Number Theory, 2013
Suppose that p is an odd prime and d is a positive integer. Let x and y be integers given by p = x2+dy2 or 4p = x2+dy2. In this paper we determine x( mod p) for many values of d. For example, [Formula: see text] where x is chosen so that x ≡ 1 ( mod 3). We also pose some conjectures on supercongruences modulo p2 concerning binary quadratic forms.
openaire   +3 more sources