Results 121 to 130 of about 5,610 (306)

On extremal problems for symmetric disjoint domains [PDF]

, 1997
Вивчено дві екстремальні задачі про добуток степенів конфорних радіусів симетричних неналягаючих областей.We study two extremal problems for the product of powers of conformal radii of symmetric disjoint ...
Бахтина, Г.П., Бахтин, А.К.   +1 more
core   +2 more sources

Organic Materials of Tomorrow: Horizons of Artificial Intelligence

Advanced Materials, EarlyView.
This review examines machine learning techniques accelerating the discovery of organic semiconductors by linking molecular structure to properties. Key methods include graph neural networks, generative models, and active learning. Applications to organic photovoltaics demonstrate practical impact.
Harold Mena, J. Terence Blaskovits, Kun‐Han Lin, Denis Andrienko   +3 more
wiley   +1 more source

Extremal problems for trinomials with fold symmetry [PDF]

, 2022
The famous T. Suffridge polynomials have many extremal properties: the maximality of coefficients when the leading coefficient is maximal; the zeros of the derivative are located on the unit circle; the maximum radius of stretching the unit disk with the
Gray, Daniel, Stokolos, Alex, Dmitrishin, Dmitriy   +2 more
core   +1 more source

Refinements of inequalities on extremal problems of polynomials

Open Mathematics
Let H(z) be a polynomial of degree n, and for any complex number α, let D α H(z) = nH(z) + (α − z)H′(z) denote the polar derivative of H(z) with respect to α.
Devi Maisnam Triveni, Singh Thangjam Birkramjit, Chanam Barchand   +2 more
doaj   +1 more source

Phase Engineering of Nanomaterials (PEN): Evolution, Current Challenges, and Future Opportunities

Advanced Materials, EarlyView.
This review summarizes the synthesis, phase transition, advanced characterization spanning ex situ to in situ and operando techniques, and diverse applications of phase engineering of nanomaterials (PEN). It further outlines key challenges and future opportunities, such as phase stability, architecture control, and artificial intelligence (AI)‐driven ...
Ye Chen, Zhanxi Fan, Jingjie Ge, Qiyuan He, Zhuangchai Lai, Jiawei Liu, Chaoliang Tan, Hua Zhang   +7 more
wiley   +1 more source

On an extremal problem of Selberg II

Journal of Approximation Theory, 2007
Für \(p\in\mathbb{N}\) sei \(m_p\) das Minimum von \(\prod_{j=1}^p(1+y_j)\) unter den Bedingungen \((y_1,\dots,y_p)\in \mathbb{R}_+^p,\,\, \prod_{j=1}^py_j=e^{1-p},\,\, \prod_{1\leq i1\) strikt monoton wachsende, unbeschränkte Funktion \(\varphi_k(x):=x^k\log x-(x^k-1)\log(x-1)\) ein und beweist damit: Das simultane Gleichungssystem \(\varphi_1(s ...
openaire   +1 more source

Combination of 3D and 2D Small and Wide Angle X‐Ray Scattering Imaging Reveals Diminished Bone Quality in the Superior Human Femoral Neck Cortex

Advanced Materials, EarlyView.
Combined 2D and 3D X‐ray scattering imaging is used to analyse nanostructural properties in the inferior and superior cortex of 78 human femoral necks from 44 donors. The methodology allows for increased interpretation of nanostructure in a statistically relevant dataset, revealing nanostructural differences in anatomical locations critical to clinical
Torne Tänzer, Tatiana Kochetkova, Arthur Baroni, Mathieu Simon, Mads Carlsen, Santiago Fernandez Bordin, Manuel Guizar‐Sicairos, Philippe Zysset, Marianne Liebi   +8 more
wiley   +1 more source

From Behavior to Dynamics: Decoding Carrier Roles in Cu‐based Photocathodes for Solar‐Driven CO2 Reduction

Advanced Materials, EarlyView.
The performance of Cu‐based photocathodes in photoelectrochemical CO2 reduction is not governed by catalytic sites alone, but by the dynamic journey of photogenerated carriers. This review decodes how carrier generation, recombination, transport, accumulation, extraction, and electrolyte coupling shape catalytic activity, selectivity, and stability ...
Yi‐Cheng Wang, Chenyu Xu, Peng‐Fei Sui, Yi Liu, Xiaolei Wang, Jing‐Li Luo   +5 more
wiley   +1 more source

Problem on extremal decomposition of the complex plane

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
In geometric function theory of a complex variable problems on extremal decomposition with free poles on the unit circle are well known.
Denega Iryna, Zabolotnii Yaroslav
doaj   +1 more source

A Geometrically Transient Platform for Bioelectronic Implants

Advanced Materials, EarlyView.
Minimally invasive bioelectronic implants often compromise performance for smaller sizes. To resolve this optimization dilemma, a wireless bioelectronic implant with a transient geometry is introduced (MiFi). The origami‐inspired device miniaturizes up to sixfold for syringe insertion and autonomously unfolds post‐implantation.
Selin Olenik, John D. Goodwin, Atharv Naik, Philip Coatsworth, Ioi Chit Cheung, Farbod Amirghasemi, Anies Sohi, Ehsan Abedi, Tayeb Tadlaoui, Maral P. S. Mousavi, Andriy S. Kozlov, Victoria Salem, Andrew S. Cowburn, Firat Guder   +13 more
wiley   +1 more source