Concept

Cyclic order

Related publications (19)

The multivariate Serre conjecture ring

It is well-known that for any integral domain R, the Serre conjecture ring R(X), i.e., the localization of the univariate polynomial ring R[X] at monic polynomials, is a Bezout domain of Krull dimension

San Diego2023

Axiomatic scale theory

Martin Alois Rohrmeier, Daniel Harasim

Scales are a fundamental concept of musical practice around the world. They commonly exhibit symmetry properties that are formally studied using cyclic groups in the field of mathematical scale theory. This paper proposes an axiomatic framework for mathema ...

TAYLOR & FRANCIS LTD2020

Connectome spectral analysis to track EEG task dynamics on a subsecond scale

David Pascucci, Sébastien Tourbier, Patric Hagmann, Gijs Plomp, Michaël Defferrard

We present an approach for tracking fast spatiotemporal cortical dynamics in which we combine white matter connectivity data with source-projected electroencephalographic (EEG) data. We employ the mathematical framework of graph signal processing in order ...

2020

MATHICSE Technical Report : Explicit stabilized multirate method for stiff stochastic differential equations

Assyr Abdulle, Giacomo Rosilho De Souza

Stabilized explicit methods are particularly ecient for large systems of sti stochastic dif- ferential equations (SDEs) due to their extended stability domain. However, they loose their eciency when a severe stiness is induced by very few fast degrees of f ...

EPFL2020

Salt-induced thermochromism of a conjugated polyelectrolyte

Natalie Renuka Banerji, Laurent Alexis Clément Vannay, Yauhen Sheima

We report here the photophysical properties of a water-soluble conjugated polythiophene with cationic side-chains. When dissolved in aqueous buffer solution (PBS, phosphate buffered saline), there is ordering of the polymer chains due to the presence of th ...

Royal Soc Chemistry2017

Collision-Free Coordination of Fiber Positioners in Multi-object Spectrographs

Denis Gillet, Jean-Paul Richard Kneib, Laleh Makarem

Many ber-fed spectroscopic survey projects, such as DESI, PFS and MOONS, will use thousands of fiber positioners packed at a focal plane. To maximize observation time, the positioners need to move simultaneously and reach their targets swiftly. We have pre ...

Spie-Int Soc Optical Engineering2016

Multimarginal Optimal Transport Maps for One-dimensional Repulsive Costs

Maria Colombo

We study a multimarginal optimal transportation problem in one dimension. For a symmetric, repulsive cost function, we show that, given a minimizing transport plan, its symmetrization is induced by a cyclical map, and that the symmetric optimal plan is uni ...

2015

An adaptive Rosenbrock method with applications in Electrophysiology

Giacomo Rosilho De Souza

The aim of this project is to implement the Rosenbrock method ROS3P in the C++ Finite Element library LifeV for the solution of systems of ordinary differential equations arising in electrophysiology. In the domain of electrophysiology LifeV implements car ...

2013

Consistent Digital Line Segments

Doemoetoer Palvoelgyi

We introduce a novel and general approach for digitalization of line segments in the plane that satisfies a set of axioms naturally arising from Euclidean axioms. In particular, we show how to derive such a system of digital segments from any total order o ...

2012

A second-order cut-cell method for the numerical simulation of 2D flows past obstacles

We present a new second-order method, based on the MAC scheme on cartesian grids, for the numerical simulation of two-dimensional incompressible flows past obstacles. In this approach, the solid boundary is embedded in the cartesian computational mesh. Dis ...

Pergamon-Elsevier Science Ltd2012

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