Results 51 to 60 of about 325,822 (315)

Extremal Polynomials Connected with Zolotarev Polynomials [PDF]

Vestnik St. Petersburg University, Mathematics, 2020
In this paper, the authors deal with the following extremal problem: Using the notation \(P_{n}(x,t)=x_{0}t^{n}+x_{1}t^{n-1}+\dotsb+x_{n}\) for a polynomial of degree not greater than \(n\), \(n\ge 2\) and given real parameters \[ a>1,\quad b0,\quad A \] maximize the magnitude of \(P_{n}(x,b)\) at the following constraints \[ |P_{n}(x,t)|\le M\quad ...
Agafonova, I. V., Malozemov, V. N.
openaire   +2 more sources

The Dumont Ansatz for the Eulerian Polynomials, Peak Polynomials and Derivative Polynomials

Annals of Combinatorics, 2022
We observe that three context-free grammars of Dumont can be brought to a common ground, via the idea of transformations of grammars, proposed by Ma-Ma-Yeh. Then we develop a unified perspective to investigate several combinatorial objects in connection with the bivariate Eulerian polynomials. We call this approach the Dumont ansatz.
Chen, William Y. C., Fu, Amy M.
openaire   +2 more sources

Local polynomials are polynomials [PDF]

Studia Mathematica, 1995
Summary: We prove that a function \(f\) is a polynomial if \(G\circ f\) is a polynomial for every bounded linear functional \(G\). We also show that an operator-valued function is a polynomial if it is locally a polynomial.
Fong, C. K., Lumer, G., Nordgren, E., Radjavi, H., Rosenthal, P.   +4 more
openaire   +1 more source

A two-variable approach to solve the polynomial Lyapunov equation

, 2001
A two-variable polynomial approach to solve the one-variable polynomial Lyapunov equation is proposed. Lifting the problem from the one-variable to the two-variable context allows to use Faddeev-type recursions in order to solve the polynomial Lyapunov ...
Peeters, Ralf, Rapisarda, P, Peeters, R; id_orcid, Peeters, R, Rapisarda, Paolo   +4 more
core   +1 more source

Comparison and Analysis of Geometric Correction Models of Spaceborne SAR

Sensors, 2016
Following the development of synthetic aperture radar (SAR), SAR images have become increasingly common. Many researchers have conducted large studies on geolocation models, but little work has been conducted on the available models for the geometric ...
Weihao Jiang, Anxi Yu, Zhen Dong, Qingsong Wang   +3 more
doaj   +1 more source

Durfee Polynomials [PDF]

The Electronic Journal of Combinatorics, 1998
Let ${\bf F}(n)$ be a family of partitions of $n$ and let ${\bf F}(n,d)$ denote the set of partitions in ${\bf F}(n)$ with Durfee square of size $d$. We define the Durfee polynomial of ${\bf F}(n)$ to be the polynomial $P_{{\bf F},n}= \sum |{\bf F}(n,d)|y^d$, where $ 0 \leq d \leq \lfloor \sqrt{n} \rfloor.$ The work in this paper is motivated by ...
E. Rodney Canfield, Sylvie Corteel, Carla D. Savage   +2 more
openaire   +2 more sources

Long‐Term Follow‐Up of Chemotherapy‐Associated Biological Aging in Women With Early Breast Cancer

Aging and Cancer, EarlyView.
Women threated with adjuvant chemotherapy for early breast cancer have sustained long‐term increase in p16INK4a,, a robust marker of cell senescence, suggesting a chemotherapy‐associated age acceleration. p16INK4a as well as other biomarkers may identify patients at greatest risk for senescence‐related diseases of aging.
Hyman B. Muss, Alexis C. Wardell, Allison M. Deal, Kirsten A. Nyrop, Allison Ross, Yara G. Abdou, Jeffrey D. Aldrich, Lisa A. Cary, E. Claire Dees, Katherine E. Reeder‐Hayes, Emily M. Ray, Natalia Mitin, Denis Tsygankov   +12 more
wiley   +1 more source

Note on the smallest root of the independence polynomial

, 2013
One can define the independence polynomial of a graph G as follows. Let i(k)(G) denote the number of independent sets of size k of G, where i(0)(G) = 1. Then the independence polynomial of G is I(G,x) = Sigma(n)(k=0)(-1)(k)i(k)(G)x(k).
Csíkvári, Péter
core   +1 more source

Baseline Regional Cholinergic Denervation Predicts Cognitive Trajectories in Moderate Parkinson Disease

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Cognitive decline is a disabling and variable feature of Parkinson disease (PD). While cholinergic system degeneration is linked to cognitive impairments in PD, most prior research reported cross‐sectional associations. We aimed to fill this gap by investigating whether baseline regional cerebral vesicular acetylcholine transporter ...
Taylor Brown, Giulia Carli, Prabesh Kanel, Stiven Roytman, Jaimie Barr, Nicolaas I. Bohnen, Roger L. Albin   +6 more
wiley   +1 more source

Experimental and Statistical Evaluation of the Mechanical Performance of (Jute and Cocopeat) Plant and (Silk) Animal-based Hybrid Fibers Reinforced with Epoxy Polymers

Journal of Natural Fibers, 2022
In India, research on the development of new composite materials is extensively increased. In the present study, composites are developed with the renewable materials of plant and animal-based natural fibers.
Lokesh Kanchugaranahally Sriramamurthy, Bharath Kumar Shanmugam Nagarathna, Thandra Paavan Kumar, Harish Hanumanthappa, Mohanraj Thimmegowda, Shrinivasa D. Mayya, Shobharani Krishnameena Yashaswini Srivatsav, Aishwarya Brindha Kavitha Kumar   +7 more
doaj   +1 more source