Sectoral Structures Theory
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Sectoral Structures Theory
Author: Anas Abou-Ismail
language: en
Publisher: Cambridge Scholars Publishing
Release Date: 2025-02-18
Sectoral Structures Theory is a novel, interdisciplinary mathematical framework which studies the continuous arrangements of circular sectors into sectoral structures. This work explores enumerative functions of structural sets, their connections to Losanitsch’s triangle, and their links to arithmetic functions. We establish the foundations of the theory within geometric combinatorics, graph theory, and number theory. After that, we use matrices and polynomials to describe and analyze sectoral structures. We integrate concepts from algebraic topology and algebraic geometry to study mappings and operations on these structures. The same concepts are expanded to define and study sectoral substructures and superstructures. Concepts from circle packings are used to investigate the covers and compliments as well. We utilize group theory to study various types of symmetries of sectoral sequences. The book concludes with an analysis of string embeddings into sectoral structures.
Helix Network Theory
Based on the philosophy of Systems Science and the law of evolution theory, the book, by applying the methods of structural functionalism, divides the modern social system into human-culture, economy, polity, science, law, education and other sub-systems through the systematic synthesis of disciplines such as economics, sociology, management, politics, culture theories, history and philosophy, and explores the connection between these sub-systems and their intricate relation with social progress, thus depicting the historical trajectory of the long-term evolution of human social system. Starting from the actual production and operation of the firms, the author systematically analyses the organic connections and sophisticated operating process of social reproduction in modern society from micro, meso and macro, revealing the dynamic structure and evolutionary laws of the social economic system. This book reveals the fractal features such as self-similarity, hierarchy, and recursiveness in the general structure of the firm system, the sector system and the national economic system, thereby integrating micro-, meso- and macro-economics into a unified theoretical framework. This integration is interdisciplinary, and has gone beyond the economics. It can be regarded as the fourth grand synthesis in the history of economics after John Stuart Mill (1806-1873), Alfred Marshall (1842-1924) and Samuelson (1915-2009).
Indexing Structural Distortion: Sectoral Productivity, Structural Change and Growth
Author: Sakai Ando
language: en
Publisher: International Monetary Fund
Release Date: 2017-09-19
This paper proposes a new index of sectoral labor distortion using employment and valueadded shares. We show that this index is highly correlated with growth both crosssectionally and over time. We also use it to compare the degree of distortion among countries and identify sectors where the potential payoffs in terms of growth from reforms could be large. The regression analysis in the paper shows that education and various structural reforms have potential to improve the efficiency of sectoral labor allocation.