Publications related to Least common multiple

Reliable uncertainties: Error correlation, rotated error bars, and linear regressions in three-isotope plots and beyond

Correlated errors of experimental data are a common but often neglected problem in physical sciences. Various tools are provided here for thorough propagation of uncertainties in cases of correlated errors. Discussed are techniques especially applicable to ...

ELSEVIER2023

Between the Pattern and the Type: A short parallel story

Vasileios Chanis

Historically speaking, the notion of the type was reintroduced to the larger architectural discourse as a direct consequence of the crisis of the Modern. The task of revisiting the forms of the past also dictated the return of architectural methods that ha ...

2023

Facets of Urban Co-Creation

Roberto Sega

Participation in the context of urban planning is growing in the urban and architectural processes of democratic cities. Urban co-creation means working with communities by integrating their needs, giving them the opportunity to collaborate in the transfor ...

Univ Politecnica Catalunya2023

Individual differences in the perception of visual illusions are stable across eyes, time, and measurement methods

Michael Herzog, Aline Françoise Cretenoud, Lukasz Grzeczkowski

Vision scientists have tried to classify illusions for more than a century. For example, some studies suggested that there is a unique common factor for all visual illusions. Other studies proposed that there are several subclasses of illusions, such as il ...

2021

Individual differences in visual (mis)perception: a multivariate statistical approach

Aline Françoise Cretenoud

Common factors are omnipresent in everyday life, e.g., people who do well in one cognitive test are likely to perform well in other cognitive tests as well, and vice versa. In vision, however, there seems to be a multitude of specific factors rather than a ...

EPFL2021

Generalization of the Haldane conjecture to SU(n) chains

Frédéric Mila, Miklos Lajko

Recently, SU(3) chains in the symmetric and self-conjugate representations have been studied using field theory techniques. For certain representations, namely rank-psymmetric ones with pnot a multiple of 3, it was argued that the ground state exhibits gap ...

2020

An Algorithm for Odor Source Localization based on Source Term Estimation

Alcherio Martinoli, Ali Marjovi, Faezeh Rahbar

Finding sources of airborne chemicals with mobile sensing systems finds applications across the security, safety, domestic, medical, and environmental domains. In this paper, we present an algorithm based on source term estimation for odor source localizat ...

IEEE2019

Many touchings force many crossings

János Pach

Given n continuous open curves in the plane, we say that a pair is touching if they have finitely many interior points in common and at these points the first curve does not get from one side of the second curve to its other side. Otherwise, if the two cur ...

ACADEMIC PRESS INC ELSEVIER SCIENCE2019

Role of higher order plasmonic modes in one-dimensional nanogratings

Ershad Mohammadi, Foziyeh Sohrabi

By theoretically investigating the optical behavior of one-dimensional gold nanogratings using Fourier Modal Method, we have shown that both integer and non-integer multiples of surface plasmon polariton wavelengths should be taken into consideration in sp ...

SPRINGER2019

Design and Performance Evaluation of an Infotaxis-Based Three-Dimensional Algorithm for Odor Source Localization

Alcherio Martinoli, Ali Marjovi, Faezeh Rahbar, Julian Ruddick

In this paper we tackle the problem of finding the source of a gaseous leak with a robot in a three-dimensional (3-D) physical space. The proposed method extends the operational range of the probabilistic Infotaxis algorithm [1] into 3-D and makes multiple ...

IEEE2018

How many factors are there in vision?

Michael Herzog, Aline Françoise Cretenoud, Gregory Francis, Lukasz Grzeczkowski

Common factors are ubiquitous in cognition, audition, and somato-sensation. Surprisingly, there seems to be no common factor in vision, i.e., visual tasks correlate very weakly with each other. Here, we show that there are likely many very specific factors ...

2017

Influence of Symmetry on the Luminescence and Radiative Lifetime of Nine-Coordinate Europium Complexes

Rosario Scopelliti, Jean-Claude Bünzli, Svetlana Eliseeva

Homoleptic mononuclear nine-coordinate lanthanum(III) and europium(III) tris-complexes [Ln(N^N^O)3]·nH2O with two tridentate N-benzyl-benzimidazole pyridine-2-carboxylates exhibit a rare C3-symmetry of the lanthanide coordination polyhedron in the solid st ...

Amer Chemical Soc2015

Prime Power Terms In Elliptic Divisibility Sequences

Valéry Aurélien Mahé

We study a problem on specializations of multiples of rational points on elliptic curves analogous to the Mersenne problem. We solve this problem when descent via isogeny is possible by giving explicit bounds on the indices of prime power terms in elliptic ...

American Mathematical Society2014

Almost-Uniform Sampling of Points on High-Dimensional Algebraic Varieties

Mohammad Amin Shokrollahi, Mahdi Cheraghchi Bashi Astaneh

We consider the problem of uniform sampling of points on an algebraic variety. Specifically, we develop a randomized algorithm that, given a small set of multivariate polynomials over a sufficiently large finite field, produces a common zero of the polynom ...

2009

New Hardness Results for Diophantine Approximation

Friedrich Eisenbrand, Thomas Rothvoss

We revisit simultaneous diophantine approximation, a classical problem from the geometry of numbers which has many applications in algorithms and complexity. The input of the decision version of this problem consists of a rational vector \alpha, an error b ...

Springer2009

Anneau de Witt des G-formes et multiples de G-formes trace

Philippe Chabloz

This thesis deals with the study of G-forms and particulary the trace form of a G-Galois algebra. Let k be a field of characteristic not two. Let G be a finite group and L a G-Galois algebra over k. We define the trace form qL by qL(x, y) = TrL/k(xy) for a ...

EPFL2004