A study of the double pendulum using polynomial optimization

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 'gender mathematics gap' which persists in many countries means that women students may, on average, have less high school preparation in mathematics than men students entering engineering education. This in turn could impact their performance in first ...

We consider a 2D incompressible and electrically conducting fluid in the domain T x R. The aim is to quantify stability properties of the Couette flow (y, 0) with a constant homogenous magnetic field (beta, 0) when |beta|>1/2. The focus lies on the regime ...

We consider a classical Heisenberg system of S-2 spins on a square lattice of spacing epsilon. We introduce a magnetic anisotropy by constraining the out-of-plane component of each spin to take only finitely many values. Computing the Gamma-limit of a suit ...

We prove Grauert-Riemenschneider-type vanishing theorems for excellent divisiorally log terminal threefolds pairs whose closed points have perfect residue fields of positive characteristic p > 5. Then we discuss applications to dlt singularities and to Mor ...

We investigated the bacterial food digestion and accumulation in wild-type adult Caenorhabditis elegans (C. elegans) worms that have fed on either non-pathogenic RFP-expressing Escherichia coli (E. coli) OP50 or pathogenic-RFP-expressing Pseudomonas aerugi ...

The local integration of III-Vs on Si is relevant for a wide range of applications in electronics and photonics, since it combines a mature and established materials platform with desired physical properties such as a direct and tuneable bandgap and high m ...

We present a geometric variational discretization of nonlinear elasticity in 2D and 3D in the Lagrangian description. A main step in our construction is the definition of discrete deformation gradients and discrete Cauchy-Green deformation tensors, which a ...

We present a numerical model for the simulation of 3D sediment transport in a Newtonian flow with free surfaces. The Navier-Stokes equations are coupled with the transport, deposition, and resuspension of the particle concentrations, and a volume-of-fluid ...

Let (X, A) be a strictly lc log Fano pair, we show that every lc place of complements of (X, A) is dreamy and there exists a correspondence between weakly special test configurations of (X, A; -KX - A) and lc places of complements of (X, A). ...

Orthogonal maps are two-dimensional mappings that are solutions of the so-called origami problem obtained when folding a paper. These mappings are piecewise linear, and the discontinuities of their gradient form a singular set composed of straight lines re ...

We show that, contrary to popular assumptions, predictions from machine learning potentials built upon highdimensional atom-density representations almost exclusively occur in regions of the representation space which lie outside the convex hull defined by ...

Magneto-rheological elastomers (MREs) are functional materials that can be actuated by applying an external magnetic field. MREs comprise a composite of hard magnetic particles dispersed into a nonmagnetic elastomeric (soft) matrix. Hard MREs have been rec ...

In this note, we prove the semiampleness conjecture for Kawamata log terminal Calabi-Yau (CY) surface pairs over an excellent base ring. As applications, we deduce that generalized abundance and Serrano's conjecture hold for surfaces. Finally, we study the ...

We address the long-standing problem of the ground state of 1T-TaS2 by computing the correlated electronic structure of stacked bilayers using the GW + EDMFT method. Depending on the surface termination, the semi-infinite uncorrelated system is either band ...

EOS is an open-source software for a variety of computational tasks in flavor physics. Its use cases include theory predictions within and beyond the Standard Model of particle physics, Bayesian inference of theory parameters from experimental and theoreti ...

We study gapped 4d quantum field theories (QFTs) obtained from a relevant deformation of a UV conformal field theory (CFT). For simplicity, we assume the existence of a Z(2) symmetry and a single Z2-odd stable particle and no Z(2)-even particles at low ene ...

We show that for a K-unstable Fano variety, any divisorial valuation computing its stability threshold induces a nontrivial special test configuration preserving the stability threshold. When such a divisorial valuation exists, we show that the Fano variet ...

We present a cosmological analysis using the second and third moments of the weak lensing mass (convergence) maps from the first three years of data (Y3) data of the Dark Energy Survey. The survey spans an effective area of 4139 square degrees and uses the ...

Co1/3NbS2 is the magnetic intercalate of 2H-NbS2 where electronic itinerant and magnetic properties strongly influence each other throughout the phase diagram. Here we report the angle-resolved photoelectron spectroscopy (ARPES) study in Co1/3NbS2. In agre ...

Novel approaches to materials design, fabrication processes and device architectures have accelerated next-generation electronics component production, pushing device dimensions down to the nano- and atomic-scale. For device metrology methods to keep up wi ...

A study of the double pendulum using polynomial optimization

Chat with Graph Search

EQUITY AND EXAMINATION TIME PRESSURE IN FIRST YEAR MATHEMATICS FOR ENGINEERS

Stability Threshold of the 2D Couette Flow in a Homogeneous Magnetic Field Using Symmetric Variables

A classical S-2 spin system with discrete out-of-plane anisotropy: Variational analysis at surface and vortex scalings

Vanishing Theorems for Three-folds in Characteristic p > 5

Difference in Intestine Content of Caenorhabditis elegans When Fed on Non-Pathogenic or Pathogenic Bacteria

Review: III-V infrared emitters on Si: fabrication concepts, device architectures and down-scaling with a focus on template-assisted selective epitaxy

Unified Discrete Multisymplectic Lagrangian Formulation for Hyperelastic Solids and Barotropic Fluids

A splitting method for the numerical simulation of free surface flows with sediment deposition and resuspension

Weakly special test configurations of log canonical Fano varieties

An anisotropic adaptive method for the numerical approximation of orthogonal maps

Exploring the robust extrapolation of high-dimensional machine learning potentials

A Kirchhoff-like theory for hard magnetic rods under geometrically nonlinear deformation in three dimensions

Semiampleness For Calabi-Yau Surfaces In Positive And Mixed Characteristic

Mott versus Hybridization Gap in the Low-Temperature Phase of 1T-TaS2

EOS: a software for flavor physics phenomenology

Bootstrapping the a-anomaly in 4d QFTs

Optimal destabilization of K-unstable Fano varieties via stability thresholds

Dark Energy Survey Year 3 results: Cosmology with moments of weak lensing mass maps

Role of intercalated cobalt in the electronic structure of Co1/3NbS2

In operando charge transport imaging of atomically thin dopant nanostructures in silicon