This work provides a mathematical description of process game for the safe driving ship that encounters other ships. State and control constraint variables, as well set acceptable tactics, are taken into consideration. Multi-criteria optimization operations developed positional matrix games, based on cooperative, non-cooperative, classical (non-game) optimal steering control. Adequate algorithm...

A linear mechanical system with constant matrix of dissipative forces and continuous bounded matrices positional is studied. It assumed that there are a large positive multiplier at the vector delay in forces. The case considered where associated delay-free averaged asymptotically stable. With aid Lyapunov direct method averaging method, conditions derived under which neither nor timevarying pe...

We consider the uncertainty in arm length of an interferometer due to metric fluctuations from quantum nature gravity, proposing a concrete microscopic model energy holographic degrees freedom on surface bounding causally connected region spacetime. In our model, longitudinal beam direction accumulate infrared and feature strong long distance correlation transverse direction. This leads signal ...

The Kronecker family of the genetic matrices is investigated, which is based on the genetic matrix [C T; A G], where C, T, A, G are the letters of the genetic alphabet. The matrix [C T; A G] in the second Kronecker power is the (4*4)-matrix of 16 duplets. The matrix [C T; A G] in the third Kronecker power is the (8*8)-matrix of 64 triplets. It is significant that peculiarities of the degeneracy...

The article presents a mathematical model of multi-stage game the process safe control transport object in possible collision situations with other encountered objects, containing description state variables, and constraints, sets permissible strategies. Multi-criteria optimization tasks were formulated form positional matrix games under conditions playing non-cooperative cooperative as well no...

benign paroxysmal positional vertigo (bppv) is a condition that indicates a benign inner ear disorder. it is generally believed that bppv is due to the dislodged otoconial particles from otolith organs and unusual collection of them within any of semicircular canals or even in all three semicircular canals. although the typical features of nystagmus in bppv have been well-studied, very few stud...

Force-constant and positional disorder have been introduced into diamond lattice models in an attempt to mimic the vibrational properties of a realistic amorphous silicon model. Neither type of disorder is sufficient on its own to mimic the realistic model. By comparing the spectral densities of these models, it is shown that a combination of both disorders is a better representation, but still...