Results 51 to 60 of about 2,019,730 (284)
Nonlinear Engineering, 2023 Recently solving integro-differential equations have been the focus of attention among many researchers in the field of mathematic and engineering.
Ayati Zainab, Pourjafar Sadegh
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Jurnal Lebesgue, 2023 In this paper, we aim to derive the explicit forms of forward and backward difference formulas based on the Taylor series. These formulas are employed to approximate the N-th derivative of a single-variable function with N-th order accuracy. The explicit
Ikhsan Fachriansyah Putra +3 more
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Biomimetic Iridescent Skin: Robust Prototissues Spontaneously Assembled from Photonic Protocells
Advanced Functional Materials, EarlyView.Uniform nanoparticles are induced to form arrays (photonic crystals) in the cores of biopolymer capsules, endowing these ‘protocells’ with structural color. These protocells are then assembled into large self‐standing objects, i.e., prototissues, with robust mechanical properties as well as iridescent optical properties.
Medha Rath +6 more
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Stochastic B-series analysis of iterated Taylor methods
, 2010 For stochastic implicit Taylor methods that use an iterative scheme to compute their numerical solution, stochastic B--series and corresponding growth functions are constructed.
A. Rößler +17 more
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Advanced Functional Materials, EarlyView.Herein presented supraparticles combine the nanoparticulate photocatalyst graphitic carbon nitride with the enzyme horseradish peroxidase, which is immobilized on silica nanoparticles. In an optimized compatibility range, both catalysts operate effectively within the hybrid supraparticles and catalyze a cascade reaction consisting of the photocatalytic
Bettina Herbig +11 more
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Advanced Functional Materials, EarlyView.Na‐ion batteries ‐ Impact of doping on the oxygen redox: The sloping potential of NaMg0.1Ni0.4Mn0.5O2 above 4.0 V is caused by a new redox center (arising from the ‘O bound to Mg’), having a higher potential but being more irreversible compared to the ‘O bound to Ni’.
Yongchun Li +12 more
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Shape‐Morphing Nanoengineered Hydrogel Ribbons as Hemostats
Advanced Functional Materials, EarlyView.This study introduces a self‐assembling, shape‐morphing nanoengineered hydrogel ribbon system that rapidly forms porous aggregates in situ for efficient hemostasis in trauma and surgical applications. Abstract Rapid and effective hemorrhage control remains a major challenge in trauma and surgical care, particularly for complex or noncompressible wounds.
Ryan Davis Jr +9 more
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Continued Fraction as a Discrete Nonlinear Transform
, 1993 The connection between a Taylor series and a continued-fraction involves a nonlinear relation between the Taylor coefficients $\{ a_n \}$ and the continued-fraction coefficients $\{ b_n \}$.
Bender, Carl M., Milton, Kimball A.
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Advanced Functional Materials, EarlyView.Viscoelasticity‐driven instabilities are harnessed to create tunable, periodic textures in 3D‐printed liquid crystalline polymers. This study illustrates how processing parameters control these spontaneous meso‐scale patterns. These unique structural architectures unlock new possibilities for functional devices, ranging from photonic components to ...
Miaomiao Zou +17 more
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International Journal of Mathematics and Mathematical Sciences, 2006 A Taylor matrix method is developed to find an approximate solution of the most general linear Fredholm integrodifferential-difference equations with variable coefficients under the mixed conditions in terms of Taylor polynomials.
Mehmet Sezer, Mustafa Gülsu
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