Results 11 to 20 of about 6,170 (215)
An inequality on derived length of a solvable group [PDF]
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Wu, Zhengfei, Zhao, Xianhe, Li, Shirong
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Inequalities for the derivative of a polynomial
Let \(p(z)=a_n\prod_{\nu=1}^n(z-z_\nu)=\sum_{\nu=0}^n a_\nu z^\nu\), \(a_n\neq 0,\) be a polynomial of degree \(n\geqslant 3\) such that \(|z_\nu|\leqslant k_\nu\), \(1\leqslant\nu\leqslant n\), and \(k=\max(k_1,k_2,\dots,k_n)\geqslant 1\). The authors generalize as well as improve the lower bounds for \(\max_{|z|=1}|p'(z)|\), which are known hitherto.
Dewan, K.K. +2 more
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Inequalities for the derivative of a polynomial
In this paper some results concerning polynomials and their derivatives are derived. In particular it is proved: Theorem. Let \[ P(z)= \prod^n_{j=1} (z-z_j) \] be a polynomial of degree \(n\) which does not vanish in the disk \(D_k- \{z:| z|
Aziz, Abdul, Ahmad, Nisar
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Diversity and complexity in neural organoids
Neural organoid research aims to expand genetic diversity on one side and increase tissue complexity on the other. Chimeroids integrate multiple donor genomes within single organoids. Self‐organising multi‐identity organoids, exogenous cell seeding, or enforced assembly of region‐specific organoids contribute to tissue complexity.
Ilaria Chiaradia, Madeline A. Lancaster
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Some Inequalities for the Polar Derivative of a Polynomial
Summary: Let \(P(z)\) be a polynomial of degree \(n\) which has no zeros in \(|z|
Gulzar, M. H. +2 more
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Pathways and pitfalls: a qualitative study of student experiences in biomedical science education
Biomedical science students from underrepresented backgrounds face barriers including financial strain, disrupted laboratory access and cultural exclusion. Peer networks provide vital support when institutional systems are difficult to navigate. To create inclusive learning environments and achieve academic success, educators should blend active, hands‐
Olivia J. Russell +8 more
wiley +1 more source
Sex Representation in US Stroke Clinical Trials: A Decade of Trends and Challenges
ABSTRACT Objective Stroke remains a major cause of disability and mortality in the US, with significant sex‐based disparities, and females remain underrepresented in stroke clinical trials. We aimed to examine sex representation in US‐based stroke clinical trials, identify trial characteristics associated with higher female enrollment (≥ 50%), and ...
Chaitali Dagli +5 more
wiley +1 more source
An inequality for functions with derivatives in an Orlicz space [PDF]
function p(v) defined for v > 0, continuous from the right, satisfying conditions p(0) =0, p(v)-- oo (v-- coo) and such that M(u) =fiuIp(v) dv for all u. Writing q(u) =sup { v: p(v) 0 for which p(v) ? e. Moreover, the Young's inequality uv ? M(u) +N(v) holds for all u and v (see [1, ??1-2]).
Bojanic, R., Musielak, J.
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Distinct Systemic Sclerosis Phenotypes Related to Ethnicity: An Opportunity to Personalize Care?
Objective The objective is to describe and compare demographic, clinical, and serological characteristics of patients with systemic sclerosis (SSc) according to ethnic background. Methods Participants enrolled in the Canadian Scleroderma Research Group cohort who self‐identified to a single ethnicity group were included.
Danick Goulet +11 more
wiley +1 more source
A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems
A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam +2 more
wiley +1 more source

