Some Solvability Classes for the Problem of Integer Balancing of a Three-Dimensional Matrix with Constraints of Second Type

The article attempts to work out the relevant methodology that will allow an integrated approach to find solutions to current economic challenges, given the fact that the national economy is a complex multicomponent system. It is emphasized that mathematical methods and models are widely used as effective tools to handle a range of problems in various areas of research and, in particular, in economic studies. However, despite the availability of numerous research endeavors, the issues of modelling the relationships between national economic development and regulatory policy have not been sufficiently studied. The purpose of this study is to build a three-dimensional matrix of regulatory change management in the frameworks of the national economic development. The methodological research background relies on modelling of regulatory policy effects on national economic development by using economic mathematical methods and models. A three-dimensional matrix of managing change in regulatory policy has been proposed which is based on the assessment of the current state of regulatory policy and modelling of the relationships between national economic development and regulatory policy with regard to the obtained values of the aggregate development index calculated by sectors of the national economy, generalized index of the regulatory policy in industries and the indicator of the regulatory policy effects on development, the zoning of which allows to distribute its impact sector by sector along with identifying the nature and the priority areas for further regulatory actions to be applied to a particular industry or sector of the economy. The three-dimensional matrix zoning has been performed according to certain parameters: vertical zoning (zones of passive and active changes), transverse horizontal zoning (zone of fixation and transformation) and horizontal longitudinal zoning (zones adjustment and protection). It is argued that economic mathematical modelling is an important tool in managing business processes. Modelling is used to build reliability models with reference to aggregated development indices by sectors of the national economy and the generalized indices of regulatory policy, and identify specific regulatory policy changes needed to enhance the national economic development.

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About a three dimensional matrix of psychological and pedagogical factors for ensuring the socialization of schoolchildren adolescents on the basis of an differentiated approach to their upbringing

Mir psikhologii ◽

10.51944/2073-8528_2021_3_71 ◽

2021 ◽

pp. 71-84

Author(s):

Stanislav Valerievich Klimin

Keyword(s):

Three Dimensional ◽

Dimensional Matrix

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A Comprehensive Understanding on Sewability of Natural Biomaterial: An Insight on Process Optimization during Leather Manufacture

Journal of the American Leather Chemists Association ◽

10.34314/jalca.v116i7.4334 ◽

2021 ◽

Vol 116 (7) ◽

Author(s):

Gladstone Christopher Jayakumar ◽

K Phebe Aaron ◽

K Krishnaraj

Keyword(s):

Physical Properties ◽

Process Optimization ◽

Three Dimensional ◽

Experimental Results ◽

Comprehensive Understanding ◽

Microscopic Images ◽

Dimensional Matrix ◽

Natural Biomaterial ◽

Leather Manufacture

Leather is three-dimensional matrix possessing unique properties which makes it more comfortable for daily use. Garments made from leathers are preferred choice owing to their multifaceted properties as compared to textiles in the colder regions. In the present study, an attempt has been made to evaluate the influence of phenolic syntan and synthetic fatliquor on the sewability and physical properties of post tanned leathers. From the experimental results, it is observed that the concentration of phenolic syntan and fatliquor influences leather sewability. Optical microscopic images of leathers also show that they are more compact and tighter with higher percentage of syntan. The study provides an insight in understanding the optimum usage of post tanning chemicals for better sewing properties without affecting the leather matrix adversely.

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