Let Cℓ(V, g) be the real Clifford algebra associated to the real vector space V , endowed with a nondegenerate metric g. In this paper, we study the class of Z2-gradings of Cℓ(V, g) which are somehow compatible with the multivector structure of the Grassmann algebra over V . A complete characterization for such Z2-gradings is obtained by classifying all the even subalgebras coming from them. An expression relating such subalgebras to the usual even part of Cℓ(V, g) is also obtained. Finally, we employ this framework to define spinor spaces, and to parametrize all the possible signature changes on Cℓ(V, g) by Z2-gradings of this algebra.

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In this paper, we introduce a cloud-based structure to enhance long-term engagement in a pet-robot companion treatment to reduce stress an anxiety to hospitalized children. Cloud connectivity enables to combine human intervention with artificial intelligent multi-agent to bias the Robot Companion behavior in order to foster a better engagement and decrease the drop out during the treatment.

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