Concept

History of mathematical notation

Related publications (14)

Stable Layered 2D Perovskite Solar Cells with an Efficiency of over 19% via Multifunctional Interfacial Engineering

Layered 2D perovskites have been extensively investigated by scientists with photovoltaics (PV) expertise due to their good environmental stability. However, a random phase distribution in the perovskite film could affect both the performance and stability ...

AMER CHEMICAL SOC2021

Asymptotics of Cheeger constants and unitarisability of groups

Nicolas Monod, Maria Gerasimova

Given a group Gamma, we establish a connection between the unitarisability of its uniformly bounded representations and the asymptotic behaviour of the isoperimetric constants of Cayley graphs of Gamma for increasingly large generating sets. The connection ...

ACADEMIC PRESS INC ELSEVIER SCIENCE2020

Parallel integro-differential equation solving via multi-channel reciprocal bianisotropic metasurface augmented by normal susceptibilities

Karim Achouri, Ali Momeni

Analog optical signal processing has dramatically transcended the speed and energy limitations accompanied with its digital microelectronic counterparts. Motivated by recent metasurface?s evolution, the angular scattering diversity of a reciprocal passive ...

IOP PUBLISHING LTD2019

Electromagnetic Waves in a Time Periodic Medium With Step-Varying Refractive Index

Romain Christophe Rémy Fleury, Theodoros Koutserimpas

We present an exact mathematical framework for electromagnetic wave propagation in periodically time-modulated media, in which the permittivity is homogenous and modulated in a step-varying fashion. By using Hill’s equation theory, we show that this proble ...

2018

Mechanistically Consistent Reduced Models of Synthetic Gene Networks

Vassily Hatzimanikatis

Designing genetic networks with desired functionalities requires an accurate mathematical framework that accounts for the essential mechanistic details of the system. Here, we formulate a time-delay model of protein translation and mRNA degradation by syst ...

Cell Press2013

Metropolis-Hastings sampling of paths

Michel Bierlaire, Gunnar Flötteröd

We consider the previously unsolved problem of sampling paths according to a given distribution from a general network. The problem is difficult because of the combinatorial number of alternatives, which prohibits a complete enumeration of all paths and he ...

2013

Thermodynamics-Based Significance Ranking of Candidates for Metabolomics

Vassily Hatzimanikatis

Cellular metabolism is the driving force of all living cells and organisms. Numerous research projects undertaken over the past century have attempted to decipher the function and operating principles of metabolism with varying degrees of success. A wide s ...

2013

Particle Manifold Method (PMM) for Multiscale Continuous-Discontinuous Analysis

Liang Sun

It is important to consider the microstructure of a material when studying the macroscopic mechanical properties. Although special equipments have been used for micromechanics study through experimental tests, it is limited by instruments and reproducibili ...

EPFL2012

Metropolis-Hastings sampling of paths

Michel Bierlaire, Gunnar Flötteröd

We consider the previously unsolved problem of sampling cycle-free paths according to a given distribution from a general network. The problem is difficult because of the combinatorial number of alternatives, which prohibits a complete enumeration of all p ...

2011

Metropolis-Hastings sampling of paths

Michel Bierlaire, Gunnar Flötteröd

2011

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