In this paper we investigate the validity of a cancellation law for some classes of monounary algebras.

In this paper, we determine the isomorphism classes of the central simple Poisson algebras introduced earlier by the second author. The Lie algebra structures of these Poisson algebras are in general not finitely-graded.

We describe a general framework to define dendriform algebras and a general construction to obtain new dendriform algebra structures from known structures and from linear operators. The construction includes recent constructions of the quadri-algebra, the ennea-algebras, the dendriformNijenhuis algebras and the octo-algebras.

This research has been motivated by geophysics and materials physics. The objective of this research has been to advance materials theory and computations for high pressure and high temperature applications to the point that it can make a difference in our understanding of the Earth. Understanding of the mineralogy, composition, and thermal structure of the Earth evolves by close interaction of...

There is a large promise for thermophones in high power sonar arrays, flexible loudspeakers and noise cancellation devices. The freestanding aerogel-like carbon nanotube sheet as a thermoacoustic (TA) heat source demonstrates so far the best performance. However, the limited accessibility of large size free standing carbon nanotube sheets and other even more exotic materials published recently,...

Low-dimensional materials are attracting huge interest in many research fields as their confined size and reduced dimensionality allow the possibility of manipulation and utilization of their unusual properties. The interior of a carbon nanotube is one of the most ideal places for the synthesis of low-dimensional materials. Metallic [1], ionic [2], halogen [3], and dichalcogenide [4] crystals h...

A numerical method for the reconstruction of interfaces in finite volume schemes for multiphase flows is presented. The computation of the triple-point at the intersection of three materials in two dimensions of space is addressed. The determination of the normal vectors between pairs of materials is obtained with a finite element approximation. A numerical method for the localization of a trip...

In this paper, we want to follow up the question, how characteristics of electromobility could be represented in the interior of electric vehicles (EV). For that purpose we followed a user-centered approach to collect intuitive and implicit relationships between some descriptive characters of electromobility and real materials. In a study with 13 participants multisensory 3-dimensional mood-boa...

We compute the essential norm of a composition operator relatively to the class of Dunford-Pettis opertors or weakly compact operators, on some uniform algebras of analytic functions. Even in the frame of H∞ (resp. the disk algebra), this is new, as well for the polydisk algebras and the polyball algebras. This is a consequence of a general study of weighted composition operators.