Geometric Algebra makes it possible to formulate simple spinor equations of motion for classical particles and rigid bodies. In the Newtonian case, these equations have proven their value by simplifying orbital computations. The relativistic case is not so well known, but it has new and surprising features worth exploiting, including close connections to quantum mechanical equations. The curren...

We study the second fundamental form of semi-isometric CR immersions from strictly pseudoconvex manifolds into K\"ahler manifolds. As an application, we give a precise condition for umbilicality real hypersurfaces, extending well-known theorem by Webster on nonexistence umbilical points generic ellipsoids. other applications, extend linearity Ji-Yuan spheres with vanishing to important case thr...

This paper describes a framework for modeling emotions within cognitive agents as an extention to an earlier SOMAgent model of communication and language learning, information fusion and emergent semantic memories. Emotion is considered as a continuous mechanism for flexible adaptation and it is captured through the emergence in an agent’s reaction-emotional memory. In addition to the elementar...

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We introduce a class of stochastic differential equations driven by fractional Brownian motion (FBM), which allow for a constructive method in order to obtain stationary solutions. This leads to a substantial extention of fractional Ornstein-Uhlenbeck processes. Structural properties of this class of new models are investigated. Their stationary densities are given explicitly. Short title: Frac...