Results 51 to 60 of about 850,517 (217)

CONVEX SEQUENCE AND CONVEX POLYGON

In this paper, we deal with the question; under what conditions the points $P_i(xi,yi)$ $(i = 1,\cdots, n)$ form a convex polygon provided $x_1 < \cdots < x_n$ holds. One of the main findings of the paper can be stated as follows: "Let $P_1(x_1,y_1),\cdots ,P_n(x_n,y_n)$ are $n$ distinct points ($n\geq3$) with $x_1< ...
Goswami, Angshuman Robin, Szalkai, István   +1 more
openaire   +2 more sources

Convex-cyclic matrices, convex-polynomial interpolation and invariant convex sets [PDF]

Operators and Matrices, 2017
We define a convex-polynomial to be one that is a convex combination of the monomials $\{1, z, z^2, \ldots\}$. This paper explores the intimate connection between peaking convex-polynomials, interpolating convex-polynomials, invariant convex sets, and the dynamics of matrices.
Paul J. McGuire, Nathan S. Feldman
openaire   +3 more sources

Tunable Tactile Synapses Enabled by Erasable Doping in Iongel‐Gated Nanotube Network Transistors

Advanced Functional Materials, EarlyView.
Artificial tactile synaptic sensors are realized by an iongel‐gated single‐walled carbon nanotube (SWCNT) transistor with reversible doping characteristics. The device senses and memorizes tactile stimuli and exhibits gate bias‐dependent excitatory or inhibitory synaptic behavior.
Yan Huang, Yaoqiang Zhou, Sonja Wieland, Yachen Li, Ni Zhao, Jana Zaumseil   +5 more
wiley   +1 more source

Convex pentagons and convex hexagons that can form rotationally symmetric tilings

, 2020
In this study, the properties of convex hexagons that can generate rotationally symmetric edge-to-edge tilings are discussed. Since the convex hexagons are equilateral convex parallelohexagons, convex pentagons generated by bisecting the hexagons can ...
Sugimoto, Teruhisa
core  

Tunable Thermoshrinkable Hydrogels for 4D Fabrication of Cell‐Seeded Channels

Advanced Functional Materials, EarlyView.
A thermoresponsive polymer with methacrylate groups for photo‐cross‐linking, based on polyethylene glycol, N‐isopropylacrylamide, and 2‐hydroxyethyl acrylate is synthetized to yield hydrogels that shrink upon temperature increase. The new polymer enables the fabrication of cell‐laden perfusable channels with diameters below 200 µm by combining ...
Greta Di Marco, Marc Falandt, Myriam Neumann, Martina Viola, Thibault Sampon, Marta G. Valverde, Anne Metje van Genderen, Silvia M. Mihaila, Cornelus F. van Nostrum, Bas G. P. van Ravensteijn, Riccardo Levato, Rosalinde Masereeuw, Tina Vermonden   +12 more
wiley   +1 more source

Finite convex geometries of circles [PDF]

, 2013
Let F be a finite set of circles in the plane. We point out that the usual convex closure restricted to F yields a convex geometry, that is, a combinatorial structure introduced by P. H Edelman in 1980 under the name "anti-exchange closure system".
Czédli, Gábor
core  

Omnidirectional Transmissive Acoustic Metasurfaces Based on Goldberg Polyhedra

Advanced Functional Materials, EarlyView.
This study introduces omnidirectional acoustic metasurfaces capable of manipulating wavefronts in multiple arbitrary directions simultaneously. A full‐stack pipeline for design, optimization, and fabrication is presented to construct near‐spherical holograms based on Goldberg polyhedra.
Andrea Achilleos, James Hardwick, Ryuji Hirayama, Sriram Subramanian   +3 more
wiley   +1 more source

On the Krein-Milman-Ky Fan theorem for convex compact metrizable sets

, 2016
The Krein-Milman theorem (1940) states that every convex compact subset of a Hausdorfflocally convex topological space, is the closed convex hull of its extreme points.
Bachir, Mohammed
core   +1 more source

Accelerated Kinetics of Desolvation and Redox Transformation Enabled by MOF Sieving for High‐Loading Mg‐S Battery

Advanced Functional Materials, EarlyView.
A strategy of sieving catalysis based on the MIL‐101(Cr) with multistage pore structure and Lewis acid sites has been proposed as the catalyst to accelerate the kinetics of desolvation and redox conversion of sulfur species, achieving high performance Mg‐S batteries.
Qinghua Guan, Quan Zhuang, Wenlong Xu, Yongzheng Zhang, Shuang Cheng, Jing Zhang, Meinan Liu, Hongzhen Lin, Jian Wang   +8 more
wiley   +1 more source

Chemo‐Mechanical Coupling in Hydrogels: Dynamics in the Diffusion‐Limited Regime

Advanced Functional Materials, EarlyView.
A time‐dependent continuum model is developed to capture the transient swelling dynamics of chemo‐mechanical hydrogels. By coupling chemical reactions, solvent transport, and polymer deformation, volume phase transitions, reaction kinetics, and transient mechanical instabilities are analyzed.
Yao Xiong, Aaveg Aggarwal, Monica Olvera de la Cruz   +2 more
wiley   +1 more source