Results 101 to 110 of about 645,441 (285)
Journal of Applied Mathematics, 2014 We consider in this paper expansions of functions based on the rational orthogonal basis for the space of square integrable functions. The basis functions have nonnegative instantaneous frequencies so that the expansions make physical sense.
Xiaona Cui, Suxia Yao
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Shape Representation via Best Orthogonal Basis Selection [PDF]
, 2004 We formulate the problem of finding a statistical representation of shape as a best basis selection problem in which the goal is to choose the basis for optimal shape representation from a very large library of bases. In this work, our emphasis is on applying this basis selection framework using the wavelet packets library to estimate the probability ...
Ashraf Mohamed, Christos Davatzikos
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Advanced Materials, EarlyView.We introduce a molecular strategy to assemble one‐dimensional (1D) materials into two‐dimensional (2D) van der Waals metal–organic frameworks (MOFs). Crystals of [FeX(pzX)(bpy)] (X = Cl, F) form anisotropic 2D layers that can be mechanically exfoliated into thin sheets.
Eleni C. Mazarakioti +12 more
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Advanced Materials, EarlyView.Structural water is harnessed as an active co‐monomer to drive supramolecular polymerization in bulk water. Zinc(II) Salphen complexes confine water molecules to form hollow, metal–organic nanofibers that assemble into adaptive hydrogels with thermoresponsive mechanics and selective chiral recognition.
Merlin R. Stühler +10 more
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Solving change of basis from Bernstein to Chebyshev polynomials
Examples and CounterexamplesWe provide two closed-form solutions to the change of basis from Bernstein polynomials to shifted Chebyshev polynomials of the fourth kind and show them to be equivalent by applying Zeilberger’s algorithm. The first solution uses orthogonality properties
D.A. Wolfram
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Assembling a True “Olympic Gel” From over 16 000 Combinatorial DNA Rings
Advanced Materials, EarlyView.Olympic gels are an elusive class of soft matter, consisting of molecular networks held together purely by mechanically interlocked rings. Their topological structure promises unique properties and functions, but their synthesis has proven notoriously difficult.
Sarah K. Speed +9 more
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A note on free divergence-free vector fields
Comptes Rendus. MathématiqueWe exhibit an orthonormal basis of cyclic gradients and a (non-orthogonal) basis of the homogeneous free divergence-free vector field on the full Fock space and determine the dimension of Voiculescu’s free divergence-free vector field of degree $k$ or ...
Ito, Hyuga, Miyagawa, Akihiro
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Advanced Materials, EarlyView.Metasurface‐engineered NC‐TENG arrays integrate tactile pressure mapping, non‐contact gesture sensing, and acoustic signal readouts in one ultrathin module, and outperforms pristine PDMS in terms of electrical output and real‐time spatial mapping for next‐gen wearables.
Injamamul Arief +12 more
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Advanced Materials, EarlyView.Solvent‐mediated reactivity control of Lewis‐paired dopants enables highly efficient, finely tunable, and stable doping of organic semiconductors. The optimally doped semiconductor films exhibit superior thermoelectric performance and doping stability, feature delocalized polarons along structurally ordered polymer backbones, and outperform ...
Sang Beom Kim +5 more
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Advanced Materials, EarlyView.Elephant‐skin‐inspired crack networks are programmed in porous diatomaceous earth (DE)‐cement composites using substrate‐guided, stress‐concentration induced fracture. The resulting crack lattices act as capillary conduits that redistribute water, while the porous matrix stores moisture.
Qingya Huang +5 more
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