Concept

Congruence (geometry)

Related publications (18)

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

New Moduli For Banach Spaces

Grigory Ivanov

Modifying the moduli of supporting convexity and supporting smoothness, we introduce new moduli for Banach spaces which occur, for example, as lengths of catheti of right-angled triangles (defined via so-called quasiorthogonality). These triangles have two ...

Tusi Mathematical Research Group2017

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

Graph-based compression of dynamic 3D point cloud sequences

Pascal Frossard

This paper addresses the problem of compression of 3D point cloud sequences that are characterized by moving 3D positions and color attributes. As temporally successive point cloud frames are similar, motion estimation is key to effective compression of th ...

Institute of Electrical and Electronics Engineers2016

Simulation of the plasma profiles evolution for a tokamak discharge including time varying geometry

Olivier Sauter, Federico Alberto Alfredo Felici, Anna Teplukhina

Applications of the RApid Plasma Transport simulatOR (RAPTOR) for the simulation of the plasma tokamak parameters evolution are presented. The RAPTOR transport model has been extended by time varying terms and verified via comparisons with ASTRA simulation ...

2015

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