Computer Sciences

An Approach to Fuzzy Modeling of Digital Devices

Authors: Speranskii D. V.

In the article the problem of fuzzy binary logic modeling for digital devices (DD) is investigated. In contrast to the similar classic problem of logical simulation, it is assumed that inputs signals of DD are fuzzy signals. In the real of DD for each input (0 or 1) there is a certain voltage range. If an input signal is out of the range, the correct signal identification is not guaranteed. The fuzziness of input signals means that there observed values can be either within of the defined range, or out of it.

Quantum Computers and Quantum Algorithms. Part 2. Quantum Algorithms

Authors: Solovyev V. M.

The paper discusses principles of construction for quantum algorithms and their main features. Distinction of quantum parallelism from classical methods of high-performance computing is shown. Quantum algorithms design strategy is presented based on quantum circuits. Methods of programming for implementation of quantum algorithms using high-level languages are proposed. An approach to implement unitary transformations based on the oracle method is described.

Algebraic Properties of Abstract Neural Network

Authors: Slepovichev I. I.

The modern level of neuroinformatics allows to use artificial neural networks for the solution of various applied problems. However many neural network methods put into practice have no strict formal mathematical substantiation, being heuristic algorithms. It imposes certain restrictions on development of neural network methods of the solution of problems. At the same time there is a wide class of mathematical models which are well studied within such disciplines as theory of abstract algebras, graph theory, automata theory.