Results 61 to 70 of about 5,226,426 (247)

Modal Analysis of Light Propagation, Polarization and Diffraction by Cholesteric Liquid Crystal Layers

open access: yesAdvanced Functional Materials, EarlyView.
The analysis of optical eigenmodes in chiral liquid crystal with perpendicular or tilted helical axis, and their correspondence with the external medium, leads to an intuitive understanding of the angle and wavelength dependency of transmissive and reflective diffraction.
Ke Xu   +5 more
wiley   +1 more source

Multistage, Self‐Sensing Artificial Muscles With Coordination From Liquid Crystal Elastomer‐Graphene Composite Fibers

open access: yesAdvanced Functional Materials, EarlyView.
Inspired by skeletal muscles’ precision and endurance, CoilLCE integrates a self‐sensing liquid crystal elastomer/graphene artificial muscle with an embedded Joule‐heating copper coil, enabling closed‐loop multistage actuation with programmable intermediate states (strain accuracy of 2%), and antagonistic coordination (32% total strain). These features
Ziyun Zhang   +9 more
wiley   +1 more source

Some formulas related to Euler's product expansion for cosine function [PDF]

open access: yes
In this paper, we derive by using elementary methods some continued fractions, certain identities involving derivatives of tan x, several expressions for log cosh x and an identity for π², from a series expansion of tan x, which gives the product ...
Dae San Kim, Taekyun Kim
core   +2 more sources

Thermoresponsive Liquid Crystalline Polymer Coatings Programmed by Field‐Induced Topological Defects for Tunable Optical and Topographical Responses

open access: yesAdvanced Functional Materials, EarlyView.
Resonant standing waves generate large‐area lattices of liquid‐crystal topological defects that are permanently encoded into polymer coatings by photopolymerization. The preserved director architecture produces thermally reconfigurable surface topographies while maintaining programmable optical functionality, demonstrating a scalable strategy for ...
Jacques A. Peixoto   +6 more
wiley   +1 more source

A Kannappan-Cosine Functional Equation on Semigroups

open access: yesAnnales Mathematicae Silesianae
Abstract In this paper we determine the complex-valued solutions of the Kannappan-cosine functional equation g ( xyz 0 ) = g ( x )
Ahmed Jafar   +2 more
openaire   +3 more sources

Operator Cosine Functions and Boundary Value Problems

open access: yesDoklady Mathematics, 2019
For the first time, the theory of strongly continuous operator cosines of functions (COF) is applied to the study of the correct solvability of boundary value problems for second-order linear differential equations in Banach space (elliptic case). Usually in COF terms the correct solvability of the Cauchy problem (hyperbolic case) is formulated.
Kostin, V. A.   +2 more
openaire   +2 more sources

Melanin's Role in Balancing Mechanical Strength and Reproductive Output in Environmentally Stressed Fungal Spores

open access: yesAdvanced Functional Materials, EarlyView.
Melanin content directly controls fungal spore mechanical properties, with pigmented spores achieving rupture forces two orders of magnitude higher than hyaline spores. Environmental stress drives this quantity‐quality tradeoff; stressed species invest energy in melanin‐reinforced, mechanically superior thick‐walled, super‐hydrophobic spores, while ...
Atul Agrawal, Steven E. Naleway
wiley   +1 more source

On W∗-continuous cosine operator functions

open access: yesJournal of Functional Analysis, 1986
This paper presents some results on the dual theory, the infinitesimal comparison, and the ergodic theory of a strongly continuous cosine operator function \(C(\cdot)\) on a Banach space. The dual theory, which is studied in section 2, is similar to that of a \((C_ 0)\)-semigroup.
openaire   +1 more source

Advances in Solution‐Processed Textile Triboelectric Nanogenerators: Ink Formation, Processing Strategies, Applications, and Challenges

open access: yesAdvanced Functional Materials, EarlyView.
Advanced ink systems for solution‐processed textile triboelectric nanogenerators are systematically summarized, spanning conductive, tribo‐negative, and tribo‐positive layers. By connecting ink chemistry, deposition methods, and device function, the present review reveals the key governing principles of solution development and highlights practical ...
Xinlong Sun, Stephen Beeby
wiley   +1 more source

Home - About - Disclaimer - Privacy