Results 101 to 110 of about 302,926 (303)
Lifting/Descending Processes for Polynomial Zeros
, 1998 The recently proposed Chebyshev-like lifting map for the zeros of a univariate polynomial was motivated by its applications to splitting a univariate polynomial p(x) numerically into factors, which is a major step of some most effective algorithms for ...
Victor Y. Pan, Bernard Mourrain
core
Advanced Materials Technologies, EarlyView.A magnetically reconfigurable airflow sensor integrated with an airway stent enables tunable sensitivity and dynamic sensing range. Airflow‐induced cantilever deformation generates resistance changes, while an external magnetic field modulates sensor stiffness, enhancing sensitivity at low airflow velocities and extending the sensing range at higher ...
Darren Wang +10 more
wiley +1 more source
Zeros of polynomials with random coefficients
Journal of Approximation Theory, 2015 Zeros of many ensembles of polynomials with random coefficients are asymptotically equidistributed near the unit circumference. We give quantitative estimates for such equidistribution in terms of the expected discrepancy and expected number of roots in various sets.
Igor E. Pritsker, Aaron M. Yeager
openaire +4 more sources
Unicity Results Concerning of difference monomials of L-function and a meromorphic function
Ratio MathematicaIn this paper, we study the value distribution of $\mathcal{L}$-function in the extend Selberg class and a non-constant transcendental meromorphic $\mathsf{f}$ function with finitely many zeros of finite order, sharing a polynomial with its difference ...
Harina Waghamore P, Roopa M.
doaj +1 more source
Some Bounds for the Polar Derivative of a Polynomial
International Journal of Mathematics and Mathematical Sciences, 2018 The polar derivative of a polynomial p(z) of degree n with respect to a complex number α is a polynomial np(z)+α-zp′(z), denoted by Dαp(z). Let 1≤R≤k. For a polynomial p(z) of degree n having all its zeros in z≤k, we investigate a lower bound of modulus ...
Jiraphorn Somsuwan +1 more
doaj +1 more source
Compliant Pneumatic Feet with Real‐Time Stiffness Adaptation for Humanoid Locomotion
Advanced Robotics Research, EarlyView.A compliant pneumatic foot with real‐time variable stiffness enables humanoid robots to adapt to changing terrains. Using onboard vision and pressure control, the foot modulates stiffness within each gait cycle, reducing impact forces and improving balance. The design, cast in soft silicone with embedded air chambers and Kevlar wrapping, offers durable,
Irene Frizza +3 more
wiley +1 more source
Bounds for Products of Zeros of Solutions to Nonhomogeneous ODE with Polynomial Coefficients
International 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’
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A Heuristic Method for Certifying Isolated Zeros of Polynomial Systems
Mathematics, 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
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Error Bounds for Zeros of a Polynomial Based Upon Gerschgorin's Theorems
, 1970 Given N approximations to the zeros of an N th-degree polynomial, N circular regions in the complex z -plane are determined whose union contains ...
Brian T. Smith
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Advanced Robotics Research, EarlyView.This study explores how information processing is distributed between brains and bodies through a codesign approach. Using the “backpropagation through soft body” framework, brain–body coupling agents are developed and analyzed across several tasks in which output is generated through the agents’ physical dynamics.
Hiroki Tomioka +3 more
wiley +1 more source