By V. M. Glushkov, A. A. Letichevskii (auth.), Julius T. Tou (eds.)

Engineering has lengthy been considered by way of the general public as a career tra ditionally categorised into such branches as electric, mechanical, chemical, commercial, civil, and so on. This type has served its goal for the prior part century; however the final decade has witnessed a massive switch. a continuing transition from the sensible to the theoretical has made expertise overlap with technology, and the expansion of scope and huge ened diversification have smeared the bounds among conventional engi neering and medical fields. Engineering is quickly changing into a diverse, multidisciplinary box of medical exercise. This has brought on us to treat glossy engineering as a technological know-how, which has as its constituents fabrics, power, and knowledge. In our advanced and technologically-oriented society companies are flooded with an immense volume of administration details. we're now confronted with difficulties in regards to the effective use of communicated wisdom. The regular development within the significance and complexity of informa tion platforms necessitates the advance of latest theories and strategies for fixing those info difficulties. We call for rapid entry to pre viously recorded info for selection making, and we require new meth ods for research, acceptance, processing, and reveal. consequently, details technological know-how has developed out of necessity. interested in the theoretical foundation of the association, keep watch over, stor age, retrieval, processing, and verbal exchange of data either via usual and synthetic structures, details technological know-how is multidisciplinary in personality. It covers an enormous region of subject material within the actual and organic sciences.

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The question arises here of solving a system of nonlinear algebraic equation of the form Y i = Fi(Y1 , ••• , Yn ), i = 1, ... , n, and constructing a theory analogous to that relating context-free languages with push-down automata. Example. Construction of a Regular Expression for an Operator by a Discrete Processor. Suppose we are given the discrete processor shown in Fig. 2. The system of equations corresponding to this processor is Y2 Ya = (19) (uYa V yY1 ) f3 = (w V vY2 ) y We can describe the process of solving system (19) as follows.

The simplest method of defining a regular set of admissible pairs of words consists in the use of dependencies on one step. Specifically, for each pair (x, y) it is necessary to determine the set XX,y of those symbols x' which could be values of #(by)(b E B) under the condition that #(b) = x'. The family (XX,Y)(X,Y)EXXY defines the set of admissible pairs of the form (pxx', qyy') where x' E XX,y' The concept of distribution of shifts, used by Yanov (33), constitutes a more particular method of giving a set of admissible pairs of words, similar to the way the concept of equivalence of schemes of algorithms reduces to a special case of relatively strict equivalence in our sense.

In other words, their component elements are frozen in some fixed states. When several registers A l , A 2 , ... , An are present it is possible to supplement one of these registers by the others. For this case a supplementing register Aj is selected either with the usual numbering of its elements, or with a numbering obtained from the original one by changing the sign of each ordinal number. For a register with such an altered enumeration we shall use the notation Ail, and call it the inverse of the corresponding register A j • The operation of supplementing right (left) some register A by register B we shall call right (left) B-supplementation of this register.