Publications related to Greatest common divisor

Between the Pattern and the Type: A short parallel story

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

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

Reto Georg Trappitsch

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

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

Equivalence Checking for Orthocomplemented Bisemilattices in Log-Linear Time

Viktor Kuncak, Simon Guilloud

We present a quasilinear time algorithm to decide the word problem on a natural algebraic structures we call orthocomplemented bisemilattices, a subtheory of boolean algebra. We use as a base a variation of Hopcroft, Ullman and Aho algorithm for tree isomo ...

Springer2022

Singularities of general fibers and the LMMP

Zsolt Patakfalvi, Joseph Allen Waldron

We use the theory of foliations to study the relative canonical divisor of a normalized inseparable base-change. Our main technical theorem states that it is linearly equivalent to a divisor with positive integer coefficients divisible by p - 1. We deduce ...

JOHNS HOPKINS UNIV PRESS2022

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

Local excitations in amorphous solids

Wencheng Ji

Amorphous solids are structurally disordered. They are very common and include glasses, colloids, and granular materials, but are far less understood than crystalline solids. Key aspects of these materials are controlled by the presence of excitations in w ...

EPFL2021

Logic Resynthesis of Majority-Based Circuits by Top-Down Decomposition

Giovanni De Micheli, Heinz Riener, Siang-Yun Lee

Logic resynthesis is the problem of finding a dependency function to re-express a given Boolean function in terms of a given set of divisor functions. In this paper, we study logic resynthesis of majority-based circuits, which is motivated by the increasin ...

IEEE2021

Publish your thesis while respecting copyright rules

Béatrice Marselli Fuerer, Marjorie Platon, Manon Velasco

It is very common to reuse content in a thesis (e.g. in the case of the theses made of a compilation of published articles). It is therefore important to ensure that the use (or reuse) is possible and to ask for authorizations from the rights holders when ...

2021

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

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

No Evidence for a Common Factor Underlying Visual Abilities in Healthy Older People

Michael Herzog, Aline Françoise Cretenoud, Aaron Michael Clarke, Albulena Jashari-Shaqiri

The world's population is aging at an increasing rate. Even in the absence of neurodegenerative disorders, healthy aging affects perception and cognition. In the context of cognition, common factors are well established. Much less is known about common fac ...

AMER PSYCHOLOGICAL ASSOC2019

Factors underlying visual illusions are illusion-specific but not feature-specific

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

Common factors are ubiquitous. For example, there is a common factor, g, for intelligence. In vision, there is much weaker evidence for such common factors. For example, visual illusion magnitudes correlate only weakly with each other. Here, we investigate ...

2019

The Shifted Convolution of Generalized Divisor Functions

Berke Topacogullari

We prove an asymptotic formula for the shifted convolution of the divisor functions d(k)(n) and d(n) with k >= 4, which is uniform in the shift parameter and which has a power saving error term, improving results obtained previously by Fouvry and Tenenbaum ...

OXFORD UNIV PRESS2018

The individual structure of visual space

Michael Herzog, Aline Françoise Cretenoud, Gregory Francis, Lukasz Grzeczkowski, Albulena Jashari-Shaqiri

Common factors are ubiquitous. First, we show that, however in vision, correlations of performance in similar paradigms are low even though test-retest reliability is high. Second, one might expect that correlations increase with increasing age because of ...

2018

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

No correlations between the strength of visual illusions

Michael Herzog, Lukasz Grzeczkowski, Aaron Michael Clarke, Fred Mast

In cognition, audition, and somatosensation, performance correlates strongly between different paradigms suggesting the existence of common factors. Surprisingly, this does not hold true for vision. For example, performance in line bisection and visual acu ...

Sage Publications Ltd2015

No correlations between visual illusion strength

Michael Herzog, Lukasz Grzeczkowski, Aaron Michael Clarke, Fred Mast

In cognition, audition and somatosensation, performance correlates strongly between different tasks suggesting the existence of common factors. Surprisingly, this does not hold true for vision. For example, Vernier acuity and Gabor detection correlate very ...

2015

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