Let  be a Banach algebra. Let  be linear mappings on . First we demonstrate a theorem concerning the continuity of double derivations; especially that all of -double derivations are continuous on semi-simple Banach algebras, in certain case. Afterwards we define a new vocabulary called “-higher double derivation” and present a relation between this subject and derivations and finally give some ...

in treating the subject of musical language, a persian musician would be intrinsically drawn to the structural similarities between the persian music and language. indeed persian music and language are extremely related in their metrics, intonations and structural phrases (syntax). although we will draw upon this relationship, our aim in this article is to present “music as a language,” consist...

Embodiment has become an important concept in many areas of cognitive science. There are, however, very different notions of exactly what embodiment is and what kind of body is required for what type of embodied cognition. Hence, while many nowadays would agree that humans are embodied cognizers, there is much less agreement on what kind of artifact could be considered embodied. This paper iden...