Results 101 to 110 of about 173,303,186 (294)
A Lipschitz condition along a transversal foliation implies local uniqueness for ODEs
We prove the following result: if a continuous vector field $F$ is Lipschitz when restricted to the hypersurfaces determined by a suitable foliation and a transversal condition is satisfied at the initial condition, then $F$ determines a locally unique ...
José Ángel Cid, F. Adrián Tojo
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On The Integral Modulus of Continuity of Fourier Series III
We obtain an estimate for the integral modulus of continuity of orderk of Fourier series with coefficients satisfying:a v →0 and Σ v=1 ∞ v 2|Δ2(a v /v)|
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ABSTRACT Chitosan, a polysaccharide upcycled from biowaste, has long promised sustainable, biocompatible, and antimicrobial films and devices, an appeal reinforced by its recent regulatory recognition, with several chitosan‐based antibacterial dressings gaining clearance through the Food and Drug Administration's 510(k) pathway.
Jacopo Nicoletti +16 more
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Advances in Sustainable and Wearable Textile Based Soft Robotics
This Review examines advances in wearable textile‐based soft robotics, focusing on sustainable materials, integrated sensing, and scalable actuation. It discusses manufacturing and system integration across healthcare, assistive robotics, prosthetics, and human–machine interfaces, and highlights key challenges in circular design, including life‐cycle ...
Zahir Abbas +6 more
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On the modulus of continuity of analytic functions
Let G be an open set in the plane such that \(\partial G\), the boundary of G, contains at least two finite points. Let f be analytic in G and continuous in the closure \(\bar G\) of G. Let \(\mu\) (t) be continuous, nondecreasing and non-negative for \(t\geq 0\) and such that log \(\mu\) (exp t) is a concave function of t for real t. Further we assume
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Structure‐Guided Dynamical Mechanics in Bioinspired Double Twisted Laminated Thin Films
This work explores a dynamic mechanistic study of crack propagation and puncture testing via real‐time monitoring of crack initiation, propagation, and termination through nature‐inspired single and double twisted architectures fabricated from cellulose nanocrystals.
Justin Brackenridge +4 more
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Biodegradable and Biocompatible Functional Polymers for Biomedical Applications
Biodegradable and biocompatible functional polymers integrate electrical, mechanical, and stimuli‐responsive functionalities while enabling programmed degradation under physiological conditions. This review introduces recent advances in conductive, shape‐memory, self‐healing, photocurable, and adhesive polymer systems, emphasizing material design ...
Won Bae Han +5 more
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This article explores a Chlodowsky-type extension of the Kantorovich variant of Szász operators based on the associated λ-polynomials. The convergence properties of these operators are established by employing the universal Korovkin-type property, and ...
Nusrat Raza, Manoj Kumar
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Strong Lead‐Free Bioinspired Piezoceramics for Durable Energy Transducers
We fabricated brick‐and‐mortar lead‐free piezoceramics with Bi0.5Na0.5TiO3 monocrystal platelets as bricks and amorphous silica as mortar. The alignment of the bricks and the presence of the amorphous silica led to anisotropic residual stresses. These residual stresses increase the samples toughness, strength and durability while the brick alignment ...
Ruxue Yang +12 more
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Modulus of continuity of controlled Loewner-Kufarev equations and random matrices. [PDF]
Amaba T, Friedrich R.
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