scholarly journals On a Property of a Three-Dimensional Matrix

2013 ◽  
Vol 2013 ◽  
pp. 1-3
Author(s):  
David Blokh
Keyword(s):  
Assignment Problem ◽  
Three Dimensional ◽  
Dimensional Matrix ◽  
Symmetrical Group

Let be the symmetrical group acting on the set and . Consider the set The main result of this paper is the following theorem. If the number of set entries is more than , then there exist entries such that , , and . The application of this theorem to the three-dimensional assignment problem is considered.

Cell culturing in a three-dimensional matrix affects the localization and properties of plasma membrane cholesterol

2009 ◽  
Vol 33 (10) ◽  
pp. 1079-1086 ◽  
Author(s):  
Nadezhda Stefanova ◽  
Galya Staneva ◽  
Diana Petkova ◽  
Teodora Lupanova ◽  
Roumen Pankov ◽  
...  
Keyword(s):  
Plasma Membrane ◽  
Three Dimensional ◽  
Membrane Cholesterol ◽  
Dimensional Matrix ◽  
Cell Culturing ◽  
Plasma Membrane Cholesterol

On Extremal Positive Maps of Three-Dimensional Matrix Algebra

2021 ◽  
Vol 28 (02) ◽  
Author(s):  
Piotr Ługiewicz ◽  
Robert Olkiewicz
Keyword(s):  
Matrix Algebra ◽  
Three Dimensional ◽  
One Dimensional ◽  
Dimensional Matrix ◽  
Positive Maps

A class of bistochastic maps of three-dimensional matrix algebra which preserves a one-dimensional projector is studied.

scholarly journals ЗОНУВАННЯ ТРИВИМІРНОЇ МАТРИЦІ УПРАВЛІННЯ ЗМІНАМИ РЕГУЛЯТОРНОЇ ПОЛІТИКИ РОЗВИТКУ НАЦІОНАЛЬНОЇ ЕКОНОМІКИ

2019 ◽  
Vol 135 (3) ◽  
pp. 90-99
Author(s):  
Ганна Вікторівна Разумова
Keyword(s):  
Economic Development ◽  
National Economy ◽  
Regulatory Policy ◽  
Three Dimensional ◽  
Regulatory Change ◽  
Mathematical Methods ◽  
Policy Effects ◽  
Dimensional Matrix ◽  
National Economic ◽  
National Economic Development

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.

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

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.

scholarly journals Land Spatial Development Based on Carrying Capacity, Land Development Potential, and Efficiency of Urban Agglomerations in China

2018 ◽  
Vol 10 (12) ◽  
pp. 4701 ◽  
Author(s):  
Zhenbo Wang
Keyword(s):  
Three Dimensional ◽  
Land Development ◽  
Spatial Development ◽  
Urban Agglomeration ◽  
Utilization Efficiency ◽  
Planning System ◽  
Chinese Government ◽  
Supporting Capacity ◽  
Urban Agglomerations ◽  
Dimensional Matrix

The Chinese government is undergoing a major reform. The current core task of new Ministry of Natural Resources (MNR) is to establish a national territorial spatial planning system (NTSPS). Urban agglomeration has become a main body in NTSPS. China’s new urbanization strategy identified 19 key development areas of urban agglomerations (UA), but the land development path is not clear. Due to the lack of research on the land development intensity evaluation (LDIE) of urban agglomerations, this study applied a GIS-based, multi-criteria method for LDIE to the Shandong Peninsular urban agglomeration (SPUA). Evaluation indices were determined for three factors (development intensity, supporting capacity, and utilization efficiency) that comprise the discriminant model of the three-dimensional matrix method, which was used to establish the method for this topic and demonstrate the accuracy of the land spatial development intensity. This empirical study on the SPUA indicated that, overall, the average indices for development intensity, supporting capacity, and utilization efficiency in the study area are 0.40, 0.34, and 0.55, respectively. Using the three-dimensional matrix discrimination model, three zones of development intensity were identified: key, stable, and restricted development zones. The threshold values for construction land growth in the eight cities of the SPUA were obtained. The findings provide a theoretical reference and guide for the practical application of LDIE as well as a scientific basis for sustainable land development and utilization.

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