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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
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Laguerre-like methods for the simultaneous approximation of polynomial multiple zeros [PDF]
Yugoslav Journal of Operations Research, 2006 Two new methods of the fourth order for the simultaneous determination of multiple zeros of a polynomial are proposed. The presented methods are based on the fixed point relation of Laguerre's type and realized in ordinary complex arithmetic as well as ...
Petković Miodrag +2 more
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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
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Математичні СтудіїIn 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
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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 +2 more
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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
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Estimates for the polar derivative of a constrained polynomial on a disk
Cubo, 2022 This work is a part of a recent wave of studies on inequalities which relate the uniform-norm of a univariate complex coefficient polynomial to its derivative on the unit disk in the plane.
Gradimir V. Milovanović +2 more
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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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Finding the Zeros of a High-Degree Polynomial Sequence
Journal of Optimization, Differential Equations and Their Applications, 2021 A 1-parameter initial-boundary value problem for a linear spatially 1-dimensional homogeneous degenerate wave equation, posed in a space-time rectangle, in case of strong degeneracy, was reduced to a linear integro-differential equation of convolution ...
Vladimir L. Borsch, Peter I. Kogut
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