Results 91 to 100 of about 2,422,350 (276)

Monotonicity of the ratio for the complete elliptic integral and Stolarsky mean

Journal of Inequalities and Applications, 2016
In the article, we prove that the function r ↦ E ( r ) / S 9 / 2 − p , p ( 1 , r ′ ) $r\mapsto \mathcal{E}(r)/S_{9/2-p, p}(1, r')$ is strictly increasing on ( 0 , 1 ) $(0, 1)$ for p ≤ 7 / 4 $p\leq7/4$ and strictly decreasing on ( 0 , 1 ) $(0, 1)$ for p ∈
Zhen-Hang Yang, Yu-Ming Chu, Wen Zhang
doaj   +1 more source

Mechanics of Telson Ridges in Mantis Shrimp for Impact Analysis and Implications for Bioinspired Elastic Shell Designs

Advanced Functional Materials, EarlyView.
The mantis shrimp telson reveals how ridged biological shields control deformation under impact. Inspired by this architecture, telson‐inspired ridged curved shells transform ridge geometry and macroscopic curvature into bidirectional snap‐through, tunable stiffness, and enhanced hysteretic energy dissipation for multifunctional architected materials ...
Phani Saketh Dasika, Adwait Trikanad, Wei Huang, Taige Hao, David Kisailus, Pablo D. Zavattieri   +5 more
wiley   +1 more source

Grayscale Photomasks Enable Noncontact Optical Patterning of Hydroxypropyl Cellulose Gels for Dynamic Art

Advanced Functional Materials, EarlyView.
Mask‐encoded UV exposure translates digital color information into pixel‐resolved structural‐color patterns in hydroxypropyl cellulose gels. Gaussian‐process‐guided calibration links UV processing conditions, wavelength, and mask opacity, enabling parallel fabrication of multicolor images in a single 10 s exposure.
Mengting Ye, Yunyi Zhu, Sai Sabareesh KS, Md Ashiqur Rahman Alif, Yichen Wan, Ruobing Bai, Narges Pourjafarian, Stefanie Mueller, Hongli Zhu   +8 more
wiley   +1 more source

Complete Monotonicity and Reduction Formulas for Certain Kampé de Fériet Functions

Axioms
We extend the classical Euler-type integral representations for the Appell functions F1, F2, and F3, to the appropriate Kampé de Fériet functions by using integration against the Meijer–Nørlund G-function.
Dmitrii Karp, Elena Prilepkina
doaj   +1 more source

A New Criterion for Completely Monotonic Functions [PDF]

Transactions of the American Mathematical Society, 1944
Not ...
openaire   +2 more sources

Degradable, Skin‐Conformal Nanocomposite‐Based Bioelectronic Patches for High‐Fidelity Electrophysiology and Gesture‐Controlled Robotics

Advanced Functional Materials, EarlyView.
A degradable, skin‐conformal bioelectronic patch combines a starch‐dominated nanocomposite conductor with a gelatin substrate to enable sensitive strain sensing, high‐fidelity electrocardiography, electromyography, electrooculography, and machine‐learning‐assisted gesture control.
Ming Dong, Hongna Yuan, Shubo Liu, Abdulkadir Sanli, Emiliano Bilotti, Han Zhang, Pietro Cataldi, Karin Hing, Oliver Fenwick, Colin J. Humphreys, Dimitrios G. Papageorgiou   +10 more
wiley   +1 more source

Testing strict monotonicity in nonparametric regression [PDF]

A new test for strict monotonicity of the regression function is proposed which is based on a composition of an estimate of the inverse of the regression function with a common regression estimate. This composition is equal to the identity if and only if
Dette, Holger, Birke, Melanie
core  

Monotonicity rule for the quotient of two functions and its application

Journal of Inequalities and Applications, 2017
In the article, we provide a monotonicity rule for the function [ P ( x ) + A ( x ) ] / [ P ( x ) + B ( x ) ] $[P(x)+A(x)]/[P(x)+B(x)]$ , where P ( x ) $P(x)$ is a positive differentiable and decreasing function defined on ( − R , R ) $(-R, R)$ ( R > 0 ...
Zhen-Hang Yang, Wei-Mao Qian, Yu-Ming Chu, Wen Zhang   +3 more
doaj   +1 more source

Atomic‐Scale Visualization of Topotactic Resistive Switching in Epitaxial La0.5Sr0.5CoOx Neuromorphic Memristors

Advanced Functional Materials, EarlyView.
Forming‐free epitaxial Pt/La0.5Sr0.5CoOx (LSCO)/La0.5Sr0.5MnO3 (LSMO) memristors exhibit heterogeneous and partially reversible topotactic switching involving brownmillerite (BM)‐, Grenier (GN)‐like‐, and perovskite (PV)‐like configurations. Atomic‐resolution scanning transmission electron microscopy and in situ transmission electron microscopy resolve
Zi‐Qin Hong, Yen‐Jung Chen, Shih‐Chao Chang, Jui‐yuan Chen, Jan‐Chi Yang, Wen‐Wei Wu   +5 more
wiley   +1 more source

Mechanistic Origins of Chemo‐Mechanical Instability and Failure in Solid‐State Lithium‐Sulfur Electrodes

Advanced Functional Materials, EarlyView.
Conversion‐induced sulfur expansion generates strong mechanical constraints and localized stresses within solid‐state Li‐S cathodes. Heterogeneous solid‐electrolyte confinement creates tensile strain‐energy hotspots that govern particle cracking. Larger sulfur particles accelerate fracture, while higher porosity relaxes constraint and delays damage ...
Arpan K. Sharma, Ahmad Ahmad, Bairav S. Vishnugopi, Partha P. Mukherjee   +3 more
wiley   +1 more source