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A Heuristic Method for Certifying Isolated Zeros of Polynomial Systems

open access: yesMathematics, 2018
In this paper, by transforming the given over-determined system into a square system, we prove a necessary and sufficient condition to certify the simple real zeros of the over-determined system by certifying the simple real zeros of the square system ...
Xiaojie Dou, Jin-San Cheng
doaj   +1 more source

On Q-derived polynomials [PDF]

open access: yes
A Q-derived polynomial is a univariate polynomial, defined overthe rationals, with the property that its zeros, and those of allits derivatives are rational numbers. There is a conjecture thatsays that Q-derived polynomials of degree 4 with distinctroots
Stroeker, R.J.
core   +1 more source

On the Zeros of Polynomials

open access: yesCommunications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 1977
1. Govil and Rahman [1, Theorem 1] have proved the fol- lowing theorem.n Theorem A. Let p (z) = £ aj^ k“0 z’^ ( 0) be a polynomiai ofdegree n with complex coefficients such that for some a>«-1 I a^ •11-2 a' I »ol-Then p (z) has ali its zeros in |z Kj, where Kj is the greatest positive root of the trinomial equation K"+ı - 2K" + 1 =
openaire   +4 more sources

Passive Shape‐Adaptive Fluidic Interface for Enhanced Skin‐Sensor Coupling in Wearable Devices

open access: yesAdvanced Materials Technologies, EarlyView.
This study presents a passive fluidic interface for wearable biosensors that adapts to static and dynamic body shape changes to maintain consistent skin contact. Flexible, fluid‐filled pouches redistribute pressure from high‐load areas to regions requiring improved contact, enhancing signal quality and comfort in a compact, low‐energy design for ...
Natalia Sanchez‐Tamayo   +6 more
wiley   +1 more source

Zeros of difference polynomials

open access: yesJournal of Approximation Theory, 1992
Studies --- both analytic and numerical --- on polynomials have been of immense interest for long. Here the authors deal in detail with various questions relating to the zeros of difference polynomials. Particularly, defining the difference operator by \(\Delta f(x)=f(x+1)-f(x)\), the polynomial \(\Delta^ mx^ n\) of degree \((n-m)\) having \((n-m ...
Evans, Ronald J, Wavrik, John J
openaire   +2 more sources

Graphene‐Interfaced Stretchable Sweat Patch for Multiplexed Electrochemical Monitoring of IL‐6, Glucose, and Calcium Ions

open access: yesAdvanced Materials Technologies, EarlyView.
Flexible sweat sensor patch integrating graphene‑interfaced gold microelectrodes functionalized with bio‑receptors and ion‑selective membrane, coupled with a capillary‑driven microfluidic layer and portable potentiostat electronics for multiplexed monitoring of inflammatory, metabolic, and electrolyte biomarkers in microliter sweat volumes.
Roomia Memon   +4 more
wiley   +1 more source

Bounds for Products of Zeros of Solutions to Nonhomogeneous ODE with Polynomial Coefficients

open access: yesInternational Journal of Differential Equations, 2015
We consider the equation u″=P(z)u+F(z)  (z∈C), where P(z) is a polynomial and F(z) is an entire function. Let zk(u)  (k=1,2,…) be the zeros of a solution u(z) to that equation. Lower estimates for the products ∏k=1j|zk(u)|  (j=1,2,…) are derived.
Michael Gil’
doaj   +1 more source

An O(log sup 2 N) parallel algorithm for computing the eigenvalues of a symmetric tridiagonal matrix [PDF]

open access: yes
An O(log sup 2 N) parallel algorithm is presented for computing the eigenvalues of a symmetric tridiagonal matrix using a parallel algorithm for computing the zeros of the characteristic polynomial.
Swarztrauber, Paul N.
core   +1 more source

Hard‐Magnetic Soft Millirobots in Underactuated Systems

open access: yesAdvanced Robotics Research, EarlyView.
This review provides a comprehensive overview of hard‐magnetic soft millirobots in underactuated systems. It examines key advances in structural design, physics‐informed modeling, and control strategies, while highlighting the interplay among these domains.
Qiong Wang   +4 more
wiley   +1 more source

Inequalities Involving the Derivative of Rational Functions With Prescribed Poles

open access: yesJournal of Applied Mathematics
This paper gives an upper bound of a modulus of the derivative of rational functions. rz=z−z0shz/wz∈Rm,n, where rz has exactly n poles a1,a2,⋯,an and all the zeros of rz lie in Dk∪Dk+,k≥1 except the zeros of order s at z0 ...
Preeti Gupta
doaj   +1 more source

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