TRANSLATIONS AND DYNAMICS

Numerical Modeling of Brain Dynamics in Traumatic Situations - Impulsive Translations

We numerically model the brain dynamics during and after impulsive head translations using linear Partial Differential Equations (PDEs) describing viscoelastic solids and a nonlinear generalization of these PDEs describing incompressible, viscoelastic fluids. The brain matter motion and the sensitivity of the solutions with respect to the skull’s geometry differ substantially in the two cases. ...

From Gauging Nonrelativistic Translations to N-Body Dynamics

We consider the gauging of space translations with time–dependent gauge functions. Using fixed time gauge of relativistic theory, we consider the gauge– invariant model describing the motion of nonrelativistic particles. When we use gauge–invariant nonrelativistic velocities as independent variables the translation gauge fields enter the equations through a d × (d + 1) matrix of vielbein fields...

Translations

Quantum Fields and Translations

Modifications of a free quantum field calculation using translation-related concepts and general translation representations yield quantum fields for massive particles that as a consequence follow the classical trajectories of electrodynamics and geometrodynamics. The work allows an explanation for the unexpectedly high energy of cosmic rays. The explanation can be tested at the Large Hadron Co...

Similarity Logic And Translations

A similarity-based fuzzy logic was proposed by M.S.Ying in [10] and successively investigated in [2]. The basic idea is that we can make ”approximate” reasoning by allowing an inference rule to work also in the case the antecedent clauses match only approximately previously proven formulas. Some tentative to applying such an idea to logic programming was proposed in [1], [6] and [7]. In this no...