Results 131 to 140 of about 145,133 (276)

Finite Biorthogonal Polynomials Suggested by the Finite Orthogonal Polynomials Mnp,qx$$ {M}_n^{\left(p,q\right)}(x) $$

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Constructing a biorthogonal structure from scratch, that is, defining a biorthogonal pair is quite tough. Because here the orthogonality must be established between two different sets. There are four known univariate biorthogonal polynomial sets, suggested by Laguerre, Jacobi, Hermite and Szegő‐Hermite polynomials, in the literature.
Esra Güldoğan Lekesiz
wiley   +1 more source

Exact Solutions of Linear Multiple Delay Partial Differential Equations

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper develops an analytical framework for linear differential equations with multiple discrete delays. A new function, referred to as the multiple‐delay exponential function, is introduced, and some of its fundamental properties are established.
Stuart‐James M. Burney
wiley   +1 more source

Application of Two-Parameter Laplace-Type R-transform to Solve Linear Ordinary Differential Equations

Journal of Applied Sciences and Environmental Management
There are thirty one-parameter Laplace-type integral transforms, however, two-parameter Laplace-type integral transforms are few. Hence, the objective in the paper is to introduce and apply a new two-parameter Laplace-type integral transform, called the
E. E. Iyeme, O. R. Okpo, R. I. Ajaereh, G. I. Ogban   +3 more
doaj  

Linear Toroidal‐Inertial Waves on A Differentially Rotating Sphere with Application to Helioseismology: Modeling, Forward and Inverse Problems

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen, Damien Fournier, Laurent Gizon, Thorsten Hohage   +3 more
wiley   +1 more source

Physiological Interpretation of the Lactate to Pyruvate AUC Ratio for Hyperpolarized [1‐13C]‐Pyruvate Studies

Magnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose To explore the relationship between potentially rate‐limiting steps in lactate production and the lactate area‐under‐the‐curve (AUC) to pyruvate AUC ratio for analysis of hyperpolarized (HP) [1‐13C]‐pyruvate data. Theory and Methods Simplifying assumptions are introduced to a pharmacokinetic (PK) model with three physical compartments ...
Ryan T. Boyce, Collin J. Harlan, Qing Wang, Christopher M. Walker, Stephen Y. Lai, Matthew E. Merritt, James A. Bankson   +6 more
wiley   +1 more source

Autonomy for MRI Field Cameras: Synchronization, Self‐Calibration, and Sequence Detection

Magnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose This work aims to provide a workflow for operating NMR field probes in MR scanners independently of pulse programming, scanner TTL trigger pulses and dedicated calibration sequences. Methods An independent timing system and limited prior knowledge about relative probe positions enable synchronous field measurement, probe position ...
Oskar Björkqvist, Klaas P. Pruessmann
wiley   +1 more source

A Passive Low‐Frequency, High‐Sensitivity Diamagnetic Levitation Accelerometer

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT Despite the great potential of diamagnetic levitation accelerometers in detecting low‐frequency and weak motion, there is still a demand to further enhance their sensitivity for geophysical and microgravity applications. In this study, a straightforward structural modulating approach is presented to enhance the sensitivity of diamagnetic ...
Yuanping Xu, Yang Wang, Lu Yang, Jin Zhou, Zhiqiang Zhang, Yanxiao Lei   +5 more
wiley   +1 more source

Targeted herbicide spraying systems: role of nozzle type, number of nozzle activation, nozzle orientation, and boom height on spray coverage and weed control

Pest Management Science, EarlyView.
Targeted herbicide application technology performance depends on sprayer configuration. Across five studies, activation of multiple, overlapping nozzles and maintaining appropriate boom height consistently improved spray coverage and weed control, highlighting the importance of optimized sprayer setup for effective and reliable weed control.
Zaim Ugljic, Ahmadreza Mobli, Ryan DeWerff, Rodrigo Werle   +3 more
wiley   +1 more source

Pressure-Dependent Rate Constant Predictions Utilizing the Inverse Laplace Transform: A Victim of Deficient Input Data. [PDF]

ACS Omega, 2018
Firaha DS, Döntgen M, Berkels B, Leonhard K.   +3 more
europepmc   +1 more source

Moisture inversions in the central Arctic: Product assessment and long‐wave radiative effect

Quarterly Journal of the Royal Meteorological Society, EarlyView.
This study evaluates the integrated water vapour and the vertical distribution of water vapour of state‐of‐the‐art reanalyses, weather forecast models, and ground‐ and space‐based remote‐sensing products in the central Arctic. A particular focus lies on the representation of humidity inversions and the quantification of the long‐wave radiative effect ...
Andreas Walbröl, Susanne Crewell, Carola Barrientos‐Velasco, Giovanni Chellini, Hannes J. Griesche, Janna E. Rückert, Kerstin Ebell   +6 more
wiley   +1 more source