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Concept

Trigonometric integral

Related publications (17)

BPS invariants from p-adic integrals

Dimitri Stelio Wyss, Francesca Carocci, Giulio Orecchia

We define p-adic BPS or pBPS invariants for moduli spaces M-beta,M-chi of one-dimensional sheaves on del Pezzo and K3 surfaces by means of integration over a non-archimedean local field F. Our definition relies on a canonical measure mu can on the F-analyt ...

Cambridge Univ Press2024

An optimal preconditioned FFT-accelerated finite element solver for homogenization

Till Junge, Ali Falsafi

We generalize and provide a linear algebra-based perspective on a finite element (FE) ho-mogenization scheme, pioneered by Schneider et al. (2017)[1] and Leuschner and Fritzen (2018)[2]. The efficiency of the scheme is based on a preconditioned, well-scale ...

ELSEVIER SCIENCE INC2023

On the Use of the Generalized Littlewood Theorem Concerning Integrals of the Logarithm of Analytical Functions for the Calculation of Infinite Sums and the Analysis of Zeroes of Analytical Functions

Serguei Sekatski

Recently, we have established and used the generalized Littlewood theorem concerning contour integrals of the logarithm of an analytical function to obtain a few new criteria equivalent to the Riemann hypothesis. Here, the same theorem is applied to calcul ...

MDPI2023

TiCl3-Mediated Synthesis of 2,3,3-Trisubstituted Indolenines: Total Synthesis of (+)-1,2-Dehydroaspidospermidine, (+)-Condyfoline, and (-)-Tubifoline

Jieping Zhu, Qian Wang, Cyril Piemontesi, Bastien Delayre

2,3,3-Trisubstituted indolenine constitutes an integral part of many biologically important monoterpene indole alkaloids. We report herein an unprecedented access to this skeleton by a TiCl3-mediated reductive cyclization of tetrasubstituted alkenes bearin ...

Wiley-VCH Verlag GmbH2020

Controlling oscillations in high-order Discontinuous Galerkin schemes using artificial viscosity tuned by neural networks

Jan Sickmann Hesthaven, Deep Ray, Niccolo' Discacciati

High-order numerical solvers for conservation laws suffer from Gibbs phenomenon close to discontinuities, leading to spurious oscillations and a detrimental effect on the solution accuracy. A possible strategy to reduce it comprises adding a suitable amoun ...

ACADEMIC PRESS INC ELSEVIER SCIENCE2020

Fast assembly of Galerkin matrices for 3D solid laminated composites using finite element and isogeometric discretizations

Pablo Antolin Sanchez

This work presents a novel methodology for speeding up the assembly of stiffness matrices for laminate composite 3D structures in the context of isogeometric and finite element discretizations. By splitting the involved terms into their in-plane and out-of ...

2020

Integral Convexity And Parabolic Systems

Bernard Dacorogna

In this work we give optimal, i.e., necessary and sufficient, conditions for integrals of the calculus of variations to guarantee the existence of solutions-both weak and variational solutions-to the associated L-2-gradient flow. The initial values are mer ...

SIAM PUBLICATIONS2020

Single shot acquisition of spatially resolved spin wave dispersion relations using X-ray microscopy

Dirk Grundler

For understanding magnonic materials the fundamental characterization of their frequency response is essential. However, determining full dispersion relations and real space wavelength measurements are challenging and time-consuming tasks. We present an ap ...

Nature Research2020

No time for drifting: Comparing performance and applicability of signal detrending algorithms for real-time fMRI

Dimitri Nestor Alice Van De Ville, Frank Scharnowski, Yury Koush, Rotem Roza Kopel

As a consequence of recent technological advances in the field of functional magnetic resonance imaging (fMRI), results can now be made available in real-time. This allows for novel applications such as online quality assurance of the acquisition, intra-op ...

2019

Bimodal atomic force microscopy for the characterization of thiolated self-assembled monolayers

Francesco Stellacci, Quy Ong Khac, Nikolaos Nianias, Evangelia-Nefeli Athanasopoulou

Surface coatings are becoming an integral part of materials. In recent years, molecular coatings have found larger acceptance and uses. Among them, self-assembled monolayers (SAMs) are attractive due to their inherent versatility, manufacturability, and sc ...

ROYAL SOC CHEMISTRY2018

Soft tunable diffractive optics with multifunctional transparent electrodes enabling integrated actuation

Herbert Shea, Samuel Rosset, Xiaobin Ji

We present a stretchable tunable transmission grating in which the optical surface serves simultaneously as an electrode for electrostatic actuation. Tunable optics based on elastomers allow for a large tuning range, but integrating an actuator generally s ...

AIP American Institute of Physics2016

L'espace public à Bogotá : entre les enjeux de la mobilité et la fragmentation urbaine

Yafiza Zorro Maldonado

There is a link between phenomena covered by the umbrella term «urban mobility» and the wealth of social and spatial dynamics active in de-structuring the city as a coherent spatial model, a process known as «urban fragmentation». It is therefore reasonabl ...

EPFL2015

Amplitude analysis of B-0 -> (D)over-bar0K(+)pi(-) decays

Jian Wang, Olivier Schneider, Zhirui Xu, Yiming Li, Yi Zhang, Lei Zhang, Aurelio Bay, Guido Haefeli, Jessica Prisciandaro, Tatsuya Nakada, Christoph Frei, Mark Tobin, Frédéric Blanc, Minh Tâm Tran, Michel De Cian, Greig Alan Cowan, Maurizio Martinelli, Donal Patrick Hill, Liang Sun, Pietro Marino, Luca Pescatore, Mirco Dorigo, Sebastiana Gianì, Liupan An, Elena Graverini, Federico Leo Redi, Chitsanu Khurewathanakul, Ilya Komarov, Renato Quagliani, Maxime Schubiger, Bastien Luca Muster, Maria Vieites Diaz, Frédéric Guillaume Dupertuis, Olivier Göran Girard, Axel Kuonen, Julien Rouvinet, Barinjaka Rakotomiaramanana, Alessandro Mapelli

The Dalitz plot distribution of B-0 -> (D) over bar K-0(+)pi(-) decays is studied using a data sample corresponding to 3.0 fb(-1) of pp collision data recorded by the LHCb experiment during 2011 and 2012. The data are described by an amplitude model that c ...

American Physical Society2015

Shared annotations: the social side of exam preparation

Pierre Dillenbourg, Andrea Mazzei

In this paper we show how the deployment of a lightweight note sharing system can restore the antique social vocation of annotations in the classroom. The system was designed for the classroom context and evaluated through a longitudinal study lasting for ...

2013

On the direct evaluation of surface integral equation impedance matrix elements involving point singularities

Juan Ramon Mosig, Athanasios Polymeridis

The direct evaluation method tailored to the 4-D singular integrals over vertex adjacent triangles, arising in the first-kind and second-kind Fredholm surface integral equation formulations, is presented. A combination of singularity cancellation, reorderi ...

Institute of Electrical and Electronics Engineers2011

Analytical evaluation of the quadruple static potential integrals on rectangular domains to solve 3D electromagnetic problems

Juan Ramon Mosig, Sergio Lopez Pena

In this communication, original analytical expressions for the quadruple static potential singular integrals on rectangular domains are presented. These integrals can appear when the method of moments is used to solve the mixed potential integral equation ...

2009

Innovative Manufacturing Technology for RF Passive Devices Combining Electroforming and CFRP Application

Michael Mattes

In this paper an innovative manufacturing technology is presented that combines electroforming and CFRP application and thus could be an enabling technology to achieve tuningless lightweight RF passive hardware with complex geometries. In order to demonstr ...

2008