On the naturality of the exterior differential

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

The Lipkin and Agassi models are simplified nuclear models that provide natural test beds for quantum simulation methods. Prior work has investigated the suitability of the variational quantum eigensolver (VQE) to find the ground state of these models. The ...

The Byzantine consensus problem involves.. processes, out of which t < n could be faulty and behave arbitrarily. Three properties characterize consensus: (1) termination, requiring correct (nonfaulty) processes to eventually reach a decision, (2) agreement ...

When studying discomfort glare, researchers tend to rely on a single questionnaire item to obtain user evaluations. It is unclear whether the choice of questionnaire item affects the distribution of user responses and leads to inconsistencies between studi ...

A spring mass model is often used to describe human running, allowing to understand the concept of elastic energy storage and restitution. The stiffness of the spring is a key parameter and different methods have been developed to estimate both the vertica ...

We consider the defocusing nonlinear wave equation ❑u D jujp ⠀1u in R3 ⠂ & UOELIG;0; 1/. We prove that for any initial datum with a scaling-subcritical norm bounded by M0 the equation is globally well-posed for p D 5 C i, where i 2 .0; ...

Professional skills of project planning, risk analysis, ethical design, communication, and working in interprofessional teams are now recognised as core engineering skills. Frequently, they are addressed in engineering education through team projects. Howe ...

Population equations for infinitely large networks of spiking neurons have a long tradition in theoret-ical neuroscience. In this work, we analyze a recent generalization of these equations to populations of finite size, which takes the form of a nonlinear ...

With the increasing importance of Computational Thinking (CT) at all levels of education, it is essential to have valid and reliable assessments. Currently, there is a lack of such assessments in upper primary school. That is why we present the development ...

Thermally stimulated current (TSC) is a widely used technique to assess trap states and extract their density, energy, and capture rate using analytical expressions. In many cases, the latter are derived from physical models pertaining to inorganic semicon ...

Objectives (i) to create a shortened version of the Action Research Arm Test scale, (ii) to investigate its psychometric properties compared to the original scale and (iii) to externally validate it within an independent cohort. Design Prospective longitud ...

Gossip algorithms and their accelerated versions have been studied exclusively in discrete time on graphs. In this work, we take a different approach and consider the scaling limit of gossip algorithms in both large graphs and large number of iterations. T ...

In this paper, we present a novel finite element model to simulate alkali-silica reaction in a realistic concrete meso-structure. Application of the internal ASR loading leads to the evolution of multiple deviated cracks and corresponding macroscopic expan ...

In response to the coronavirus disease (COVID-19) pandemic, public health scientists have produced a large and rapidly expanding body of literature that aims to answer critical questions, such as the proportion of the population in a geographic area that h ...

In this contribution, we propose an algorithm for replacing non-linear process simulation integrated in multi-level optimization of an energy system superstructure with surrogate models. With our approach, we demonstrate that surrogate models are a valid t ...

This article addresses mixing and diffusion properties of passive scalars advected by rough (

C^\alpha

) shear flows. We show that in general, one cannot expect a rough shear flow to increase the rate of inviscid mixing to more than that of a smooth shear ...

Prior studies have examined the relationship between organizational ethical climates and an array of work-related attitudes and behaviors. However, current research is hampered by the lack of knowledge on how ethical climates relate to organizational outco ...

The brain is a complex, multiscale dynamical system composed of many interacting regions. Knowledge of the spatiotemporal organization of these interactions is critical for establishing a solid understanding of the brain's functional architecture and the r ...

Results that do not confirm expectations are generally referred to as 'negative' results. While essential for scientific progress, they are too rarely reported in the literature - Brain-Machine Interface (BMI) research is no exception. This led us to organ ...

Let Omega subset of R-n be an open set, A is an element of R-nxn and G : Omega -> R-nxn be given. We look for a solution u : Omega -> R-n of the equation ...

The biophysical modeling efforts in diffusion MRI have grown considerably over the past 25 years. In this review, we dwell on the various challenges along the journey of bringing a biophysical model from initial design to clinical implementation, identifyi ...

On the naturality of the exterior differential

Chat with Graph Search

Exploiting symmetries in nuclear Hamiltonians for ground state preparation

On the Validity of Consensus

Comparison of questionnaire items for discomfort glare studies in daylit spaces

Vertical and Leg Stiffness Modeling During Running: Effect of Speed and Incline

Global Regularity For The Nonlinear Wave Equation With Slightly Supercritical Power

The development, validation and use of an interprofessional project management questionnaire in engineering education

On a Finite-Size Neuronal Population Equation

The competent Computational Thinking Test: Development and Validation of an Unplugged Computational Thinking Test for Upper Primary School

Scrutinizing thermally stimulated current transients originating from trapped charges in organic semiconductors: A drift-diffusion study

Evaluation of a shortened version of the Action Research Arm Test (ARAT) for upper extremity function after stroke: The Mini-ARAT

Acceleration of gossip algorithms through the Euler-Poisson-Darboux Equation

Study on the internal crack network of the ASR-affected concrete by the tomography-based numerical model

How to detect and reduce potential sources of biases in studies of SARS-CoV-2 and COVID-19

Self-learning surrogate models in superstructure optimization

Mixing and diffusion for rough shear flows

Construct Validity of Unobtrusive Measures of Organizational Ethical Climates

Questions and controversies in the study of time-varying functional connectivity in resting fMRI

Turning negative into positives! Exploiting 'negative' results in Brain-Machine Interface (BMI) research

On the equation A del u plus (del u)(t) A = G

Challenges for biophysical modeling of microstructure