Results 51 to 60 of about 66,276 (316)

Phase Field Failure Modeling: Brittle‐Ductile Dual‐Phase Microstructures under Compressive Loading

Advanced Engineering Materials, EarlyView.
The approach by Amor and the approach by Miehe and Zhang for asymmetric damage behavior in the phase field method for fracture are compared regarding their fitness for microcrack‐based failure modeling. The comparison is performed for the case of a dual‐phase microstructure with a brittle and a ductile constituent.
Jakob Huber, Jan Torgersen, Ewald Werner
wiley   +1 more source

Reconstruction of Piecewise Smooth Multivariate Functions from Fourier Data

Axioms, 2020
In some applications, one is interested in reconstructing a function f from its Fourier series coefficients. The problem is that the Fourier series is slowly convergent if the function is non-periodic, or is non-smooth. In this paper, we suggest a method
David Levin
doaj   +1 more source

ON FOURIER COEFFICIENTS OF MODULAR FORMS [PDF]

Bulletin of the Australian Mathematical Society, 2010
AbstractRecursive formulae satisfied by the Fourier coefficients of meromorphic modular forms on groups of genus zero have been investigated by several authors. Bruinieret al. [‘The arithmetic of the values of modular functions and the divisors of modular forms’,Compositio Math.140(3) (2004), 552–566] found recurrences for SL(2,ℤ); Ahlgren [‘The theta ...
Cummins, C. J., Haghighi, N. S.
openaire   +1 more source

Enhanced Strength and Corrosion Resistance of Ti‐13Nb‐12Ta‐10Zr‐4Sn Alloy by Aging Treatment

Advanced Engineering Materials, EarlyView.
This work systematically investigates the effect of aging treatment on mechanical properties and corrosion behavior of vacuum arc‐melted Ti‐13Nb‐12Ta‐10Zr‐4Sn alloy. Owing to the increased α″ martensite, strength and corrosion resistance were significantly enhanced by aging treatment.
Yuhua Li, Rong Zhao, Qian Zhang, Haojie Wang, Yujing Liu, Lai‐Chang Zhang   +5 more
wiley   +1 more source

Fourier Spectrum Retrieval in Single-Pixel Imaging

IEEE Photonics Journal, 2019
Fourier spectrum represents objects in the frequency domain. Low-frequency coefficients show outlines of objects, and high-frequency coefficients display details of objects. In this paper, we propose a novel and high-efficiency Fourier spectrum retrieval
Yin Xiao, Lina Zhou, Wen Chen
doaj   +1 more source

Intermolecular Interactions as Driving Force of Increasing Multiphoton Absorption in a Perylene Diimide‐Based Coordination Polymer

Advanced Functional Materials, EarlyView.
This study uncovers the unexplored role of intermolecular interactions in multiphoton absorption in coordination polymers. By analyzing [Zn2tpda(DMA)2(DMF)0.3], it shows how the electronic coupling of the chromophores and confinement in the MOF enhance two‐and three‐photon absorption.
Simon Nicolas Deger, Anna Mauri, Yang Cui, Sebastian Josef Weishäupl, Ali Deniz Özdemir, Hamad Syed, Aleksandr Ovsianikov, Wolfgang Wenzel, Alexander Pöthig, Jürgen Hauer, Mariana Kozlowska, Roland Augustinus Fischer   +11 more
wiley   +1 more source

Methodology for determining temperature dependences of the diffraction efficiency of two-layer two-relief microstructures in the framework of a rigorous coupled-wave analysis

Компьютерная оптика
Aiming to calculate the diffraction efficiency of diffractive optical elements with a two-layer microstructure and two internal sawtooth reliefs within the framework of the rigorous electromagnetic theory of diffraction, we propose an approach that ...
A.I. Antonov, G.I. Greisukh
doaj   +1 more source

Hyperbolic Cross Truncations for Stochastic Fourier Cosine Series

The Scientific World Journal, 2014
Based on our decomposition of stochastic processes and our asymptotic representations of Fourier cosine coefficients, we deduce an asymptotic formula of approximation errors of hyperbolic cross truncations for bivariate stochastic Fourier cosine series ...
Zhihua Zhang
doaj   +1 more source

Constrained and Vanishing Expressivity of Quantum Fourier Models [PDF]

Quantum
In this work, we highlight an unforeseen behavior of the expressivity of Parameterized Quantum Circuits (PQCs) for machine learning. A large class of these models, seen as Fourier series whose frequencies are derived from the encoding gates, were thought
Hela Mhiri, Leo Monbroussou, Mario Herrero-Gonzalez, Slimane Thabet, Elham Kashefi, Jonas Landman   +5 more
doaj   +1 more source

On the magnitude of Fourier coefficients [PDF]

Proceedings of the American Mathematical Society, 1982
Let \(\Lambda =\{\lambda_ n\}\) be a nondecreasing sequence of positive numbers with \(\Sigma \lambda_ n^{-1}=\infty\) and let f be a real function of period \(2\pi\). f is called to be of \(\Lambda\)-bounded variation (\(\Lambda\) BV) if (*) \(\Sigma | f(b_ n)-f(a_ n)| /\lambda_ n0\) suitable, the class \(\phi\) \(\Lambda\) BV can be defined; in the ...
Schramm, Michael, Waterman, Daniel
openaire   +1 more source