Stability properties of trigonometric interpolating operators
Consider the space C of all 2π-periodic continuous real functions, and the subspace π of all n-th order trigonometric polynomials. The index n is held fixed, and the spaces are endowed with the usual supremum norm. Any operator L: C → π which can be written in the form \( Lx = \sum\limits_1^m {x({s_k}){y_k}} \) with 0 ≤ sk < 2≤ and yk e π is said to be
Morris, Peter D., Cheney, Elliott W.
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Abstract The 2021–2023 OHANA ocean‐bottom seismometer deployment in the northeast Pacific Ocean provides a rich data set for seismic studies to explore the crust, lithosphere and asthenosphere in a 600 km wide region about 1,500 km northeast of Hawaii, west of the Moonless Mountains. The study area covers mainly 40‐to‐55 Myr‐old Pacific lithosphere.
Gabi Laske +3 more
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THREE-VARIABLE ALTERNATING TRIGONOMETRIC FUNCTIONS AND CORRESPONDING FOURIER TRANSFORMS
The common trigonometric functions admit generalizations to any higher dimension, the symmetric, antisymmetric and alternating ones. In this paper, we restrict ourselves to three dimensional generalization only, focusing on alternating case in detail ...
Agata Bezubik, Severin Pošta
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European mistletoe shares a similar demographic strategy with non‐parasitic plants
European mistletoe (Viscum album) does not have a distinct demographic strategy from non‐parasitic plants, as quantified by time‐based life history traits. We found that mistletoe vital rates were driven by mistletoe size and position in the host tree.
Oliver G. Spacey +8 more
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Transfinite Patches for Isogeometric Analysis
This paper extends the well-known transfinite interpolation formula, which was developed in the late 1960s by the applied mathematician William Gordon at the premises of General Motors as an extension of the pre-existing Coons interpolation formula. Here,
Christopher Provatidis
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Low-Computational-Cost Hybrid FEM-Analytical Induction Machine Model for the Diagnosis of Rotor Eccentricity, Based on Sparse Identification Techniques and Trigonometric Interpolation. [PDF]
Terron-Santiago C +3 more
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A formula of trigonometric interpolation [PDF]
n ...
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Electron microscopy‐based three‐dimensional subcellular imaging of plant male gametophyte
The Aquilos2 Cryo‐FIB workflows provide practical routes for cryo‐electron tomography and volume imaging in plant structural biology. ABSTRACT Understanding cellular events in three dimensions (3D) is of great importance for the annotation and illustration of biological processes in a contextual way. Imaging techniques based on electron microscopy (EM),
Zhiqi Liu +9 more
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Littlewood, Paley and almost‐orthogonality: a theory well ahead of its time
Abstract The classic paper by Littlewood and Paley [J. Lond. Math. Soc. (1), 6 (1931), 230–233] marked the birth of Littlewood–Paley theory. We discuss this paper and its impact from a historical perspective, include an outline of the results in the paper and their subsequent significance in relation to developments over the last century, and set them ...
Anthony Carbery
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Interpolation-based coordinate descent method for parameterized quantum circuits
Parameterized quantum circuits (PQCs) are fundamental to many hybrid quantum-classical algorithms. However, existing structure-based optimizers for the training of PQCs, such as Rotosolve and sequential minimal optimization, rely on heuristic node ...
Zhijian Lai +4 more
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