Results 11 to 20 of about 411 (174)

Orthogonal Expansion of Real Polynomials, Location of Zeros, and an L2 Inequality

Journal of Approximation Theory, 2001
The following problem is investigated: let \(f\) be a polynomial given by the expansion \(f(z)=a_0 p_0(z)+a_1p_1(z)+\cdots+a_np_n(z)\) in terms of orthogonal polynomials. What can be said about the zeros of \(f\) in terms of the zeros of the orthogonal polynomials \(p_j\) and the Fourier coefficients \(a_j\)? The main result is a condition on the (real)
openaire   +4 more sources

On the location of zeros of quasi-orthogonal polynomials with applications to some real self-reciprocal polynomials

Journal of Classical Analysis, 2021
Summary: In this paper, we present new results on the location of zeros of some classes of quasiorthogonal polynomials. From the Chebyshev polynomials, we obtain some classes of real selfreciprocal polynomials, and investigate the location and monotonicity of their zeros.
Botta, Vanessa, Suni, Mijael Hancco
openaire   +2 more sources

Location of zeros Part I: Real polynomials and entire functions

Illinois Journal of Mathematics, 1983
In the study of the distribution of zeros of polynomials and entire functions the techniques used, roughly speaking, fall into three categories" analytic, geometric and algebraic. In this paper, which represents the first portion of a two-part investigation, we will attempt to exploit the advantages of all three techniques.
Craven, Thomas, Csordas, George
openaire   +2 more sources

A Robust Adaptive One‐Sample‐Ahead Preview Super‐Twisting Sliding Mode Controller

International Journal of Adaptive Control and Signal Processing, EarlyView.
Block Diagram of the Robust Adaptive One‐Sample‐Ahead Preview Super‐Twisting Sliding Mode Controller. ABSTRACT This article introduces a discrete‐time robust adaptive one‐sample‐ahead preview super‐twisting sliding mode controller. A stability analysis of the controller by Lyapunov criteria is developed to demonstrate its robustness in handling both ...
Guilherme Vieira Hollweg, Paulo Jefferson Dias de Oliveira Evald, Shivam Chaturvedi, Hilton Abilio Gründling, Rodrigo Varella Tambara, Wencong Su   +5 more
wiley   +1 more source

Nanoindentation Criteria for Combinatorial Thin Film Libraries

Advanced Engineering Materials, EarlyView.
Thin‐film material libraries are compositional spreads used for screening composition‐structure‐property relationships. Nanoindentation is often used to characterize mechanical behavior across these systems, however variations in methodology are widespread.
Andre Bohn, Adie Alwen, Andrea M. Hodge
wiley   +1 more source

Surface Tension Measurement of Ti‐6Al‐4V by Falling Droplet Method in Oxygen‐Free Atmosphere

Advanced Engineering Materials, EarlyView.
In this article, the temperature‐dependent surface tension of free falling, oscillating Ti‐6Al‐4V droplets is investigated in both argon and monosilane doped, oxygen‐free atmosphere. Droplet temperature and oscillation are captured with one single high‐speed camera, and the surface tension is calculated with Rayleigh's formula.
Johannes May, Finn‐Lennard Janthur, Lena Kreie, Michael Müller, Sarah Seffer, Nick Schwarz, Jörg Hermsdorf, Thomas Hassel, Stefan Kaierle, Ludger Overmeyer   +9 more
wiley   +1 more source

Workflow for Design of Experiments‐Based Modeling of Species Transport and Growth Kinetics in GaN Hydride Vapor Phase Epitaxy

Advanced Engineering Materials, EarlyView.
A novel workflow for investigating hydride vapor phase epitaxy for GaN bulk crystal growth is proposed. It combines Design of experiments (DoE) with physical simulations of mass transport and crystal growth kinetics, serving as an intermediate step between DoE and experiments.
J. Tomkovič, G. Lukin, H. Torkashvand, A. Kerschbaum, M. Müller, S. Besendörfer, J. Heitmann, J. Friedrich   +7 more
wiley   +1 more source

Unleashing the Power of Machine Learning in Nanomedicine Formulation Development

Advanced Functional Materials, EarlyView.
A random forest machine learning model is able to make predictions on nanoparticle attributes of different nanomedicines (i.e. lipid nanoparticles, liposomes, or PLGA nanoparticles) based on microfluidic formulation parameters. Machine learning models are based on a database of nanoparticle formulations, and models are able to generate unique solutions
Thomas L. Moore, Cristiano Pesce, Antonietta Greco, Claudia Pisante, Greta Avancini, Valentina Di Francesco, Yosi Shamay, Paolo Decuzzi   +7 more
wiley   +1 more source

Predicting Atomic Charges in MOFs by Topological Charge Equilibration

Advanced Functional Materials, EarlyView.
An atomic charge prediction method is presented that is able to accurately reproduce ab‐initio‐derived reference charges for a large number of metal–organic frameworks. Based on a topological charge equilibration scheme, static charges that fulfill overall neutrality are quickly generated.
Babak Farhadi Jahromi, Sumukh Shankar Sharadaprasad, Rochus Schmid   +2 more
wiley   +1 more source

Imaging of Biphoton States: Fundamentals and Applications

Advanced Functional Materials, EarlyView.
Quantum states of two photons exhibit a rich polarization and spatial structure, which provides a fundamental resource of strongly correlated and entangled states. This review analyzes the physics of these intriguing properties and explores the various techniques and technologies available to measure them, including the state of the art of their ...
Alessio D'Errico, Ebrahim Karimi
wiley   +1 more source