Closed classes are considered of three-valued logic functions generated by symmetric functions taking values in the set {0, 1}. Criteria for existence of bases and for existence of finite generating systems are obtained for some classes generated by elementary periodic symmetric functions.
A polynomial vector field of fourth degree with degenerate infinity is proved to have no more than nine linear particular integrals including those with complex coefficients.
It is proved that a polynomial vector field of fourth degree with degenerate infinity has no more than nine linear particular integrals, including those with complex coefficients.
Garman-Klass and Rogers-Satchell methods to estimate the diffusion coefficient of a fractal random process are considered. Standard statistical characteristics are studied of the estimates proposed, such as mean, variance, as well as the estimation distribution function.
The concept of heterogeneity of the media text in the formal (polycode) and semantic (hybridity) aspect and its reflection in derivation in the Internet media is considered. Structural and pragmatic analysis of polycode neologisms (created by graphic means: capitalization, hyphenation, parenthesis, etc.) and stylistically hybrid neologisms (created by stylistically marked models, with stylistically marked affixes) is carried out. The conclusion is made about the pragmatic causation of such neologisms, which are a reflection of current trends in modern speech and non-verbal reality, and which are used in media texts as a means to enhance their influence.
Rather young branch of the legislation governing the relations in the sphere of implementation of public control along with a set of white spots includes such legal category as "public interests". This concept can be designated as key criterion of realization of the rights of citizens for implementation of public control. But the main difficulties on this legal way are connected with the fact that in the absence of legally fixed definition of the specified concept, use of this criterion by subjects of information legal relationship very difficult.
This paper considers the development of digital circuit tests using continuous models of discrete devices. An algorithm is presented which makes it possible to solve the problem of finding test sets using continuous optimization. A generalized fault model is proposed which implements a unified approach to the representation of different types of faults in test generation. The proposed approach is implemented as a software environment for research and development of fault models and algorithms for finding digital circuit tests. For testing, a system of automated test generation for constant faults of combinational circuits has been built. The performance estimation results for the software package developed for the ISCAS '85 benchmark circuits demonstrate the effectiveness of the algorithms and methods used.