Results 51 to 60 of about 111,867 (281)

Polynomials with Symmetric Zeros

, 2019
Polynomials whose zeros are symmetric either to the real line or to the unit circle are very important in mathematics and physics. We can classify them into three main classes: the self-conjugate polynomials, whose zeros are symmetric to the real line; the self-inversive polynomials, whose zeros are symmetric to the unit circle; and the self-reciprocal
openaire   +4 more sources

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

Meromorphic functions sharing the zeros of lower degree symmetric polynomials in weighted wider sense

Математичні Студії
In this paper, we establish some mathematical rules for determining the initial and terminal numbers of non-zero terms in any arbitrary polynomial. These rules lead to the definitions of index $s$ and reverse index $\hat{s}$ of a polynomial.
J. Banerjee, A. Banerjee
doaj   +1 more source

Roots of the derivative of the Riemann zeta function and of characteristic polynomials

, 2010
We investigate the horizontal distribution of zeros of the derivative of the Riemann zeta function and compare this to the radial distribution of zeros of the derivative of the characteristic polynomial of a random unitary matrix.
, Berndt B C, C P Hughes, Conrey J B, Conrey J B Ghosh A Berndt B C, David W Farmer, Eduardo Dueñez, Farmer D W Ki H, Francesco Mezzadri, Garaev M Z Yildiri m C Y, Ki H, Mezzadri F, Mezzadri F, Miller S J, Sara Froehlich, Snaith N C, Spira R, Spira R, Szegő G, Toan Phan   +19 more
core   +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

Inequalities for the Polar Derivative of a Polynomial

Journal of Inequalities and Applications, 2009
Let p(z) be a polynomial of degree n and for any real or complex number α, and let Dαp(z)=np(z)+(α−z)p′(z) denote the polar derivative of the polynomial p(z) with respect to α.
M. Bidkham, M. Shakeri, M. Eshaghi Gordji   +2 more
doaj   +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

Spreadsheets: Laying a Foundation for Understanding Functions

Spreadsheets in Education, 2015
Linear, quadratic, and exponential functions, as well as polynomial functions, are the most basic mathematical expressions. Despite being among the most basic expressions in algebra, these functions are often used to approximate more complicated ...
Pejmon Sadri
doaj  

Zeros of smallest modulus of functions resembling exp(z)

International Journal of Mathematics and Mathematical Sciences, 1982
To determine (in various senses) the zeros of the Laplace transform of a signed mass distribution is of great importance for many problems in classical analysis and number theory. For example, if the mass consists of finitely many atoms, the transform is
Kenneth B. Stolarsky
doaj   +1 more source

Zeros of random Reinhardt polynomials [PDF]

Complex Variables and Elliptic Equations, 2014
For a Reinhardt domain $ $ with the smooth boundary in $\mathbb{C}^{m+1}$ and a positive smooth measure $ $ on the boundary of $ $, we consider the ensemble $P_{N}$ of polynomials of degree $N$ with the Gaussian probability measure $ _{N}$ which is induced by $L^{2}(\partial ,d )$.
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