Publications related to Congruence (geometry)

RMAML: Riemannian meta-learning with orthogonality constraints

Meta-learning is the core capability that enables intelligent systems to rapidly generalize their prior ex-perience to learn new tasks. In general, the optimization-based methods formalize the meta-learning as a bi-level optimization problem, that is a nes ...

ELSEVIER SCI LTD2023

Characterizing Conical Intersections in DNA/RNA Nucleobases with Multiconfigurational Wave Functions of Varying Active Space Size

Francesco Aquilante

We characterize the photochemically relevant conical intersections between the lowest-lying accessible electronic excited states of the different DNA/RNA nucleobases using Cholesky decomposition-based complete active space self-consistent field (CASSCF) al ...

Washington2023

Effects of aquifer geometry on seawater intrusion in annulus segment island aquifers

David Andrew Barry, Zhaoyang Luo

Seawater intrusion in island aquifers was considered analytically, specifically for annulus segment aquifers (ASAs), i.e., aquifers that (in plan) have the shape of an annulus segment. Based on the Ghijben–Herzberg and hillslope-storage Boussinesq equation ...

2021

The sphere packing problem in dimension 24

Maryna Viazovska, Abhinav Kumar

Building on Viazovska’s recent solution of the sphere packing problem in eight dimensions, we prove that the Leech lattice is the densest packing of congruent spheres in twenty-four dimensions and that it is the unique optimal periodic packing. In particul ...

2017

Mobility law of dislocations with several character angles and temperatures in FCC Aluminum

Jean-François Molinari, Guillaume Anciaux, Jaehyun Cho

We study the mobility law of dislocations in aluminum as an important building block for the development of a multiscale method that couples an atomistic model with discrete dislocation dynamics in 3d (\eg CADD3d). Straight dislocations of arbitrary charac ...

Elsevier2017

Design, Manufacture, and Test of an 80 kA-Class Nb3Sn Cable-In-Conduit Conductor With Rectangular Geometry and Distributed Pressure Relief Channels

Pierluigi Bruzzone, Kamil Sedlák, Boris Stepanov, Rainer Wesche

Within the frame of the R& D activities carried out in Europe for the toroidal field coils of the nuclear fusion device DEMO, a fundamental milestone was considered to be the demonstration of Nb3Sn cable-in-conduit conductors (CICC) performance in the dema ...

Ieee-Inst Electrical Electronics Engineers Inc2017

Stability of stationary wave maps from a curved background to a sphere

Sohrab Mirshams Shahshahani

We study time and space equivariant wave maps from

M \times \mathbb{R} \rightarrow S^2

, where

M

is dieomorphic to a two dimensional sphere and admits an action of

SO(2)

by isometries. We assume that metric on

M

can be written as $dr^2+f^2(r)d\theta ...

2016

Full body action remapping of peripersonal space: The case of walking

Olaf Blanke, Hervé Lissek, Andrea Serino, Patrick Marmaroli, Jean-Paul Noel, Petr Grivaz

The space immediately surrounding the body, i.e. peripersonal space (PPS), is represented by populations of multisensory neurons, from a network of premotor and parietal areas, which integrate tactile stimuli from the body’s surface with visual or auditory ...

Pergamon-Elsevier Science Ltd2015

Successful performances of the EU-AltTF sample, a large size Nb3Sn cable-in-conduit conductor with rectangular geometry

Pierluigi Bruzzone

One of the design features which yet offers interesting margins for performance optimization of cable-in-conduit conductors (CICCs), is their geometry. For relatively small size Nb3Sn CICCs, operating at high electromagnetic pressure, such as those for the ...

2010

Five-dimensional structure refinement of natural melilite, (Ca1.89Sr0.01Na0.08K0.02)(Mg0.92Al0.08)-(Si1.98Al0.02)O-7

Gervais Chapuis

The structure of a crystal of natural melilite from San Venanzo, Umbria (Italy) of the general formula X(2)T1(T2)(2)O-7, where X = Ca0.945Sr0.005Na0.04K0.01, T1 = Mg0.92Al0.08 and T2 = Si0.99Al0.01, has been solved and refined as an incommensurate structur ...

2001

Congruence (geometry)

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RMAML: Riemannian meta-learning with orthogonality constraints

Characterizing Conical Intersections in DNA/RNA Nucleobases with Multiconfigurational Wave Functions of Varying Active Space Size

Effects of aquifer geometry on seawater intrusion in annulus segment island aquifers

The sphere packing problem in dimension 24

Mobility law of dislocations with several character angles and temperatures in FCC Aluminum

Design, Manufacture, and Test of an 80 kA-Class Nb3Sn Cable-In-Conduit Conductor With Rectangular Geometry and Distributed Pressure Relief Channels

Stability of stationary wave maps from a curved background to a sphere

Full body action remapping of peripersonal space: The case of walking

Successful performances of the EU-AltTF sample, a large size Nb3Sn cable-in-conduit conductor with rectangular geometry

Five-dimensional structure refinement of natural melilite, (Ca1.89Sr0.01Na0.08K0.02)(Mg0.92Al0.08)-(Si1.98Al0.02)O-7

RMAML: Riemannian meta-learning with orthogonality constraints

Mobility law of dislocations with several character angles and temperatures in FCC Aluminum

Stability of stationary wave maps from a curved background to a sphere

Five-dimensional structure refinement of natural melilite, (Ca1.89Sr0.01Na0.08K0.02)(Mg0.92Al0.08)-(Si1.98Al0.02)O-7

Full body action remapping of peripersonal space: The case of walking

Successful performances of the EU-AltTF sample, a large size Nb3Sn cable-in-conduit conductor with rectangular geometry

Effects of aquifer geometry on seawater intrusion in annulus segment island aquifers

Design, Manufacture, and Test of an 80 kA-Class Nb3Sn Cable-In-Conduit Conductor With Rectangular Geometry and Distributed Pressure Relief Channels

Characterizing Conical Intersections in DNA/RNA Nucleobases with Multiconfigurational Wave Functions of Varying Active Space Size

The sphere packing problem in dimension 24