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Concept

Mathematical notation

Related publications (12)

Seeking the new, learning from the unexpected: Computational models of surprise and novelty in the brain

Alireza Modirshanechi

Human babies have a natural desire to interact with new toys and objects, through which they learn how the world around them works, e.g., that glass shatters when dropped, but a rubber ball does not. When their predictions are proven incorrect, such as whe ...

EPFL2024

Local invertibility and sensitivity of atomic structure-feature mappings

Michele Ceriotti, Sergey Pozdnyakov

Background: The increasingly common applications of machine-learning schemes to atomic-scale simulations have triggered efforts to better understand the mathematical properties of the mapping between the Cartesian coordinates of the atoms and the variety o ...

2021

Moire Flat Bands in Twisted Double Bilayer Graphene

Oleg Yazyev, Quansheng Wu, Seyedeh Fatemeh Haddadi Givi

We investigate twisted double bilayer graphene (TDBG), a four-layer system composed of two AB-stacked graphene bilayers rotated with respect to each other by a small angle. Our ab initio band structure calculations reveal a considerable energy gap at the c ...

AMER CHEMICAL SOC2020

Adaptive numerical method algorithms for nonlinear viscous and bilinear oil damper models subjected to dynamic loading

Dimitrios Lignos

Adaptive numerical method algorithms are presented for the numerical simulation of the hysteretic behaviour of nonlinear viscous and bilinear oil dampers within a finite element program for nonlinear dynamic analysis of frame structures under earthquake ex ...

2018

Analytical expression and experimental validation of the Brillouin gain spectral broadening at any sensing spatial resolution

Luc Thévenaz, Marcelo Alfonso Soto Hernandez, Mohammad Mehdi Alem Karladani

A novel and simple analytical expression to describe the Brillouin gain spectral broadening as a function of the spatial resolution in time-domain Brillouin distributed fiber sensors is deduced. The proposed model is experimentally validated using a pump-p ...

Ieee2017

Designing modeling notations readers understand

George Popescu

[Context] IT modelers create models to communicate their conceptualization of an organization and to facilitate the collaboration between business and IT people. The story they convey in their models is how the corporate IT systems fulfill the business peo ...

EPFL2016

Lightning Location Systems and Interstroke Intervals: Effects of Imperfect Detection Efficiency

Farhad Rachidi-Haeri, Marcos Rubinstein, Mohammad Azadifar, Mirjana Stojilovic

Lightning location systems (LLSs) are often used to obtain parameters of lightning flashes. However, the imperfect detection efficiency (DE) of these systems affects the accuracy of the results. In this paper, we focus on the effects of the imperfect DE on ...

Ieee2016

Locating transient disturbance sources and modelling their interaction with transmission lines : use of electromagnetic time reversal and asymptotic theory

Gaspard Lugrin

This thesis deals with the application of electromagnetic time reversal to locating transient disturbance sources and the use of the asymptotic theory for the modelling of their interaction with transmission lines. We demonstrate that the time-of-arrival, ...

EPFL2016

5e{x+y}: Searching over Mathematical Content in Digital Libraries

Karl Aberer

This paper presents 5ex+y, a system that is able to extract, index and query mathematical content expressed as mathematical expressions, complementing the CERN Document Server (CDS). We present the most important aspects of its design, our approach to mode ...

ACM2015

Method and apparatus for low complexity spectral analysis of bio-signals

David Atienza Alonso, Andreas Peter Burg, Srinivasan Murali, Georgios Karakonstantis, Aviinaash Sankaranarayanan

A method and device for reducing the computational complexity of a processing algorithm, of a discrete signal, in particular of the spectral estimation and analysis of bio-signals, with minimum or no quality loss, which comprises steps of (a) choosing a do ...

2015

Coupling matrix synthesis of dissipative microwave filters

Michael Mattes, Francisco Edén Sorolla Rosario

This study reviews the coupling matrix synthesis of dissipative microwave filters. It compares it to the synthesis of lossless transfer functions and shows that by correctly interpreting the mathematical operations in the lossless case, that is especially ...

Institution of Engineering and Technology2011

On the scaling of polar codes: II. The behavior of un-polarized channels

Rüdiger Urbanke, Seyed Hamed Hassani

We provide upper and lower bounds on the escape rate of the Bhattacharyya process corresponding to polar codes where transmission takes place over the the binary erasure channel. More precisely, we bound the exponent of the number of sub-channels whose Bha ...

IEEE2010