Results 71 to 80 of about 141,680 (280)
Mathematics, 2020 This study addresses the free vibration analysis of nonlinear structural-acoustic system with non-rigid boundaries. In practice, the boundaries of a panel–cavity system are usually imperfectly rigid.
Yiu-yin Lee
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Hyperelliptic Integrals to Elliptic Integrals
Proceedings of the 2023 International Symposium on Symbolic and Algebraic Computation, 2023 Consider a hyperelliptic integral $I=\int P/(Q\sqrt{S}) dx$, $P,Q,S\in\mathbb{K}[x]$, with $[\mathbb{K}:\mathbb{Q}]<\infty$. When $S$ is of degree $\leq 4$, such integral can be calculated in terms of elementary functions and elliptic integrals of three kinds $\mathcal{F},\mathcal{E},Π$.
openaire +3 more sources
Shaping of Biohybrid Functional Living Materials
Advanced Functional Materials, EarlyView.This work demonstrates a strategy for shaping living mycelium into functional materials by directing its natural growth. Nanoparticles armor hyphae, micron‐scale particles entangle within the network, and printed hydrogel architectures steer expansion, creating defined geometries.
Sarah Schyck +3 more
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Advanced Functional Materials, EarlyView.Reprogrammable multi‐material smart textiles knitted from liquid crystal elastomer fibers undergo 2D and 3D deformation under thermal and photo stimuli. Circularly knitted tubular structures reversibly contract in radial and axial directions, enabling autonomous climbing, liquid release, and micro pumping.
Xue Wan +8 more
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Symmetry, Integrability and Geometry: Methods and Applications, 2011 We construct a family of second-order linear difference equations parametrized by the hypergeometric solution of the elliptic Painlevé equation (or higher-order analogues), and admitting a large family of monodromy-preserving deformations.
Eric M. Rains
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Monotonicity properties and bounds for the complete p-elliptic integrals
Journal of Inequalities and Applications, 2018 We generalize several monotonicity and convexity properties as well as sharp inequalities for the complete elliptic integrals to the complete p-elliptic integrals.
Ti-Ren Huang +3 more
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Parallel 3D Bioprinting on SLIPS‐Microarrays
Advanced Functional Materials, EarlyView.This work introduces the first truly parallel 3D bioprinting method, enabling both the simultaneous fabrication of hundreds of cell laden hydrogel 3D structures and their HTS in individual liquid compartments. By integrating Digital Light Processing (DLP) stereolithography with functional micropatterns, the platform decouples printing time from array ...
Julius von Padberg +3 more
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Amyloidogenic Peptide Fragments Designed From Bacterial Collagen‐like Proteins Form Hydrogel
Advanced Functional Materials, EarlyView.This study identified amyloidogenic sequence motifs in bacterial collagen‐like proteins and exploited these to design peptides that self‐assemble into β‐sheet fibers and form hydrogels. One hydrogel supported healthy fibroblast growth, showing promise for biocompatible materials. Our work demonstrates that bacterial sequences can be harnessed to create
Vamika Sagar +5 more
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Well-posedness of elliptic-parabolic differential problem with integral condition
Қарағанды университетінің хабаршысы. Математика сериясыIn this paper, we study a class of nonlocal boundary value problems for elliptic-parabolic equations subject to integral-type conditions. Such problems naturally emerge in various physical and engineering contexts, including diffusion processes in ...
O. Gercek
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The First-Integral Method and Abundant Explicit Exact Solutions to the Zakharov Equations
Journal of Applied Mathematics, 2012 This paper is concerned with the system of Zakharov equations which involves the interactions between Langmuir and ion-acoustic waves in plasma. Abundant explicit and exact solutions of the system of Zakharov equations are derived uniformly by using the ...
Yadong Shang, Xiaoxiao Zheng
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