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The nonclassical approach to a logic synthesis of k-valued digital structures is considered. It is based on replacing the classical body of mathematics of the logic synthesis (Boolean algebra) – linear algebra. The features of the circuit implementation of operations of linear algebra necessitate going from the potential signals to the current ones. In particular, the new approach is developed, using...
This paper describes a nonclassical approach to the logical synthesis and circuitry designing of digital IP-modules for computer facilities, control systems and communication. It is based on changing from Boolean algebra by another algebraic structure to the linear algebra. The process of the logical synthesis and circuitry designing of digital devices is described in the offered algebraic structure...
Non-classical approach to logical synthesis of multi-valued elements (ME) of computer equipment, based on principles of linear algebra, is considered. Ideology and basic principles of ME building, which are non-similar to traditional one are described.
Abstract. Consider a particle moving freely on the torus and colliding elastically with some fixed convex bodies. This model is called a periodic Lorentz gas, or a Sinai billiard. It is a Hamiltonian system with a smooth invariant measure, whose ergodic and statistical properties have been well investigated. Now let the particle be subjected to a small external force. This new system is not likely...
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