Publications associées à Relation (mathématiques)

Succinct ordering and aggregation constraints in algebraic array theories

We discuss two extensions to a recently introduced theory of arrays, which are based on considerations coming from the model theory of power structures. First, we discuss how the ordering relation on the index set can be expressed succinctly by referring t ...

Elsevier Science Inc2024

Complex Representation Learning with Graph Convolutional Networks for Knowledge Graph Alignment

Thanh Trung Huynh, Quoc Viet Hung Nguyen, Thành Tâm Nguyên

The task of discovering equivalent entities in knowledge graphs (KGs), so-called KG entity alignment, has drawn much attention to overcome the incompleteness problem of KGs. The majority of existing techniques learns the pointwise representations of entiti ...

Wiley-Hindawi2023

Shafranov shift correction to the Furth-Yoshikawa scaling of tokamak adiabatic compression

Olivier Sauter

In 1970, Furth and Yoshikawa (1970 Phys. Fluids 13 2593-6) introduced the scalings of adiabatic plasma compression. Basically, if the shape of the external plasma boundary and the aspect ratio are preserved during the compression, then the density, kinetic ...

2023

The first Grushin eigenvalue on cartesian product domains

Joachim Stubbe, Luigi Provenzano, Paolo Luzzini

In this paper, we consider the first eigenvalue.1(O) of the Grushin operator.G :=.x1 + |x1|2s.x2 with Dirichlet boundary conditions on a bounded domain O of Rd = R d1+ d2. We prove that.1(O) admits a unique minimizer in the class of domains with prescribed ...

WALTER DE GRUYTER GMBH2023

Harmonic decomposition of the trace of 1D transfer matrices in layered media

Antonio Joaquin Garcia Suarez

The Transfer Matrix formalism is ubiquitous when it comes to study wave propagation in various stratified media, applications ranging from Seismology to Quantum Mechanics. A relation between variables at two points in two different layers can be establishe ...

2022

Helical versus linear Jahn-Teller distortions in allene and spiropentadiene radical cations

Rubén Laplaza Solanas, Anne-Clémence Corminboeuf, Marc Hamilton Folkmann Garner

The allene radical cation can be stabilized both by Jahn-Teller distortion of the bond lengths and by torsion of the end-groups. However, only the latter happens and the allene radical cation relaxes into a twisted D-2 symmetry structure with equal double- ...

ROYAL SOC CHEMISTRY2022

Transformations silencieuses : étude sur l'architecture alpine

Patrick Giromini

This thesis addresses the question of abandonment in architecture, not in its negative sense of desertion, but as a possibility offered to buildings which have lost their original purpose, which is to say those buildings from social and economic contexts w ...

EPFL2021

Virtual reality to assess visual attraction and perceived interest to daylit scene variations

Marilyne Andersen, Caroline Karmann, Kynthia Chamilothori, Bahar Aydemir

Façades and light pattern composition have been shown to influence the spatial experience and physiological responses of humans [1,2]. The present study examines the effect of sunlight penetration and window size on fixations to the floor of the scene, and ...

2021

Inventory of Problems: The Genesis of the Rotterdam Kunsthal by OMA/Rem Koolhaas, 1987-1992

Tibor Bonaventura Pataky

The Kunsthal in Rotterdam is a key work in the oeuvre of OMA/Rem Koolhaas that marks the threshold between the firmâ s architectural production of the decades before and after 1990. This doctoral thesis aims at a deeper and comprehensive understanding of ...

EPFL2021

Halo Mass-concentration Relation at the High-mass End

Jean-Paul Richard Kneib, Huanyuan Shan, Ginevra Favole

The concentration-mass (c-M) relation encodes key information about the assembly history of dark matter halos. However, its behavior at the high mass end has not been measured precisely in observations yet. In this paper, we report the measurement of the h ...

IOP Publishing Ltd2021