Concept

Seven-dimensional cross product

Related publications (32)

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A comparison of network embedding approaches

Thành Tâm Nguyên, Chi Thang Duong

Network embedding automatically learns to encode a graph into multi-dimensional vectors. The embedded representation appears to outperform hand-crafted features in many downstream machine learning tasks. There are a plethora of network embedding approaches ...

2018

Breakdown of Optical Phonons' Splitting in Two-Dimensional Materials

Nicola Marzari, Marco Gibertini, Thibault Daniel Pierre Sohier

We investigate the long-wavelength dispersion of longitudinal and transverse optical phonon modes in pillar two-diinensional materials, mriltilayers, and their heterostructures. Using analytical models and density-functional perturbation theory in a two-di ...

Amer Chemical Soc2017

Synthesis and Physical Properties of 3d, 4d and 5d Transition Metal Compounds

Lin Yang

In this thesis I study the synthesis and basic physical properties characterization on 3

d

, 4

d

and 5

d

transition metal compounds. Great success has been obtained in 3

d

transition metal compounds, in which the electric states are well localized due t ...

EPFL2017

Existence and Uniqueness Theorems for the Two-Dimensional Ericksen-Leslie System

Tudor Ratiu

In this paper we study the two dimensional Ericksen-Leslie equations for the nematodynamics of liquid crystals if the moment of inertia of the molecules does not vanish. We prove short time existence and uniqueness of strong solutions for the initial value ...

Springer Verlag2016

, ,

Spin caloritronics refers to research efforts in spintronics when a heat current plays a role. In this review, we start out by reviewing the predictions that can be drawn from the thermodynamics of irreversible processes. This serves as a conceptual framew ...

Elsevier2016

The goal of this work is the development and numerical implementation of a mathematical model describing the functioning of heart valves. To couple the pulsatile blood flow with a highly deformable thin structure (the valve's leaflets), a resistive Euleria ...

Wiley-Blackwell2016

Algorithm to calculate a large number of roots of the cross-product of Bessel functions

Juan Ramon Mosig, Michael Mattes, Francisco Edén Sorolla Rosario

This paper describes an algorithm to calculate a large number of roots of the cross-product of Bessel functions and of their first derivatives. The algorithm initially finds the roots of the zeroth order using an auxiliary function that exhibits the same r ...

Institute of Electrical and Electronics Engineers2013

Non-Supramenable Groups Acting On Locally Compact Spaces

Nicolas Monod, Julian Kellerhals

Supramenability of groups is characterised in terms of invariant measures on locally compact spaces. This opens the door to constructing interesting crossed product C*-algebras for non-supramenable groups. In particular, stable Kirchberg algebras in the UC ...

Univ Bielefeld2013

Global dynamics above the ground state energy for the one-dimensional NLKG equation

Joachim Krieger

In this paperwe obtain a global characterization of the dynamics of even solutions to the one-dimensional nonlinear Klein–Gordon (NLKG) equation on the line with focusing nonlinearity |u|p−1u, p > 5, provided their energy exceeds that of the ground state o ...

Springer Verlag2012

Lattice theoretic approach to space-time codes from division algebras

Cyril Becker

This master project on algebraic coding theory gathers various techniques from lattice theory, central simple algebras and algebraic number theory. The thesis begins with the formulation of the engineering problem into mathematical form. It presents how sp ...

2012