Results 41 to 50 of about 136,517 (223)

Modified F‐tests for assessing tree radial growth under linear‐circular regression models with correlated errors: A comprehensive toolbox rooted in G. E. P. Box's theorems

Canadian Journal of Statistics, EarlyView.
Abstract Annual tree growth is a complex biological process. Modelling radial growth in the trunk by linear‐circular regression with one mode and correlated errors has allowed the definition and assessment of a preferred direction for 1 and 2 years. Here, modified F$$ F $$‐tests are presented for 3 years, 1 mode/year; 1 year, 2 modes for possible main ...
Pierre Dutilleul, Tomoaki Imoto, Kunio Shimizu   +2 more
wiley   +1 more source

Insights into New Generalization of q-Legendre-Based Appell Polynomials: Properties and Quasi Monomiality

Mathematics
In this paper, by using the zeroth-order q-Tricomi functions, the theory of three-variable q-Legendre-based Appell polynomials is introduced.
Naeem Ahmad, Waseem Ahmad Khan
doaj   +1 more source

Numerical solutions for fractional optimal control problems using Mü‎‎‎‎‎‎‎ntz-Legendre polynomials [PDF]

Journal of Mahani Mathematical Research
This study introduces a novel method using the Müntz-Legendre polynomials for numerically solving fractional optimal control problems. Utilizing the unique properties of Müntz-Legendre polynomials when dealing with fractional operators, these polynomials
Mohammad Sahabi, Allahbakhsh Yazdani Cherati   +1 more
doaj   +1 more source

Left- and Right-Shifted Fractional Legendre Functions with an Application for Fractional Differential Equations

Advances in Mathematical Physics, 2020
Two new orthogonal functions named the left- and the right-shifted fractional-order Legendre polynomials (SFLPs) are proposed. Several useful formulas for the SFLPs are directly generalized from the classic Legendre polynomials.
Haidong Qu, Xiaopeng Yang, Zihang She
doaj   +1 more source

Nonlinear permuted Granger causality

Canadian Journal of Statistics, EarlyView.
Abstract Granger causality is an established, contentious method that seeks causal temporal connections via association and precedence. While not true causal inference, it assists in mapping networks of information flow that may warrant further study.
Noah D. Gade, Jordan Rodu
wiley   +1 more source

Orthogonal Polynomials, Paraorthogonal Polynomials, and Point Perturbation [PDF]

, 2009
This thesis consists of three parts. Part 1 starts with an introduction to orthogonal polynomials, to be followed by some well-known theorems pertinent to the results we shall discuss.
Wong, Manwah Lilian
core   +1 more source

Immersed Boundary Projection Method for Boundaries With Slip Velocities

International Journal for Numerical Methods in Fluids, EarlyView.
A formulation of the immersed boundary method for incompressible flow over arbitrarily‐shaped bodies with surface slip described by the Navier boundary condition is presented. The wall slip velocity and the boundary force are determined implicitly through a projection to satisfy both the boundary condition and the divergence‐free condition of the ...
Takehiro Fujii, Takeshi Omori
wiley   +1 more source

Holocene vegetation change and fire–plant diversity shifts in Mediterranean France

Journal of Quaternary Science, EarlyView.
ABSTRACT Changes in fire activity are recognized as a major threat to biodiversity and vegetation communities across the Mediterranean Basin. However, long‐term fire–vegetation interactions remain poorly investigated. Here, we combine a high‐resolution charcoal record with pollen data from the “Étang des Aulnes” lake (southern France) to reconstruct ...
Cécile Latapy, Marion Lestienne, Andy Hennebelle, Johanne Burmeister, Aymeric LeGall, Gwendal Mouden, Damien Rius, Lisa Bajolle, Jacques‐Louis de Beaulieu, Walter Finsinger, Emmanuel Gandouin, François Demory, Cécile H. Albert, Bérangère Leys   +13 more
wiley   +1 more source

On Legendre numbers

International Journal of Mathematics and Mathematical Sciences, 1985
The Legendre numbers, an infinite set of rational numbers are defined from the associated Legendre functions and several elementary properties are presented. A general formula for the Legendre numbers is given. Applications include summing certain series
Paul W. Haggard
doaj   +1 more source

Flow cytometric phytoplankton concentration and optical properties across instruments and laboratories

Limnology and Oceanography: Methods, EarlyView.
Abstract Flow cytometry measures the optical properties of individual cells and has become essential for enumerating and characterizing marine phytoplankton. Yet systematic comparison of measurements across instruments remains limited, hampering data comparison across laboratories and long‐term time series.
Francois Ribalet, Anne W. Thompson, E. Virginia Armbrust, Raffaella Casotti, Josep M. Gasol, Emily Peacock, Massimo C. Pernice, Nicole J. Poulton, Heidi M. Sosik, Angelicque E. White, Zackary Johnson   +10 more
wiley   +1 more source