Для числа ε > 0 и вещественной функции f на отрезке [a, b] обозначим через N(ε, f, [a, b]) супремум множества тех номеров n, для которых в [a, b] существует набор неналегающих отрезков [ai, bi], i = 1, . . . , n, таких, что |f(ai)− f(bi)| > ε для всех i = 1, . . . , n (sup ∅ = 0). Доказана следующая теорема: если {fj} – поточечно ограниченная последовательность вещественных функций на отрезке [a, b] такая, что n(ε) ≡ lim supj→∞N(ε, fj , [a, b]) < ∞ для любого ε > 0, то {fj} содержит подпоследовательность, которая всюду на [a, b] сходится к некоторой функции f такой, что N(ε, f, [a, b]) 6 n(ε) при любом ε > 0. Показано, что основное условие в этой теореме, связанное с верхним пределом, необходимо для равномерно сходящейся последовательности {fj} и “почти” необходимо для всюду сходящейся последовательности измеримых функций и что многие поточечные принципы выбора, обобщающие классическую теорему Хелли, вытекают из этой теоремы, а также приводятся примеры, иллюстрирующие ее точность. Библиография: 16 названий.

Место и роль инновационных технологий на уроках математики

The focus is on the misalignment between territory and the legal construct encasing the sovereign authority of the state over its territory—territoriality. The aim is to make visible that territory cannot be reduced to either national territory or state territory, and thereby to give the category territory a measure of conceptual autonomy from the nation-state. Beyond an intellectual project, this analysis seeks to enable a conceptual mobilizing of the category territory, here understood as a complex capability with embedded logics of power/empowerment and of claim making, some worthy and some more akin to power-grabs. Extracto La atencion se centra en el desfase entre el territorio y la construccion legal que encierra la autoridad territorial soberana del Estado, es decir, la territorialidad. La finalidad es hacer ver que el territorio no puede reducirse a un territorio nacional o territorio estatal, y de este modo otorgar a la categoria de territorio una medida de autonomia conceptual del estado-nacion....

https://www.tandfonline.com/doi/pdf/10.1080/21622671.2013.769895

When Territory Deborders Territoriality

This article explores the implications of the financial crisis for the relationship between monetary integration and democratic government in the European Union (EU). As the crisis has exposed the original balance that economic and monetary union (EMU) sought to maintain between monetary integration and policy diversity to be unsustainable, the eurozone is put before the choice of one of three governance models: executive federalism, democratic federalization or EMU dissolution. Notably, these three governance models perfectly illustrate Dani Rodrik's 'trilemma of the world economy', which maintains that of the three goods - economic (and monetary) integration, the nation-state and democratic politics - one will always have to give. In light of this, the article concludes that the present course towards executive federalism can be justified for preventing euro dissolution and recognizing the value of national self-government. Nevertheless, it threatens to come at a democratic price. Hence, it is imperative to consider possible flanking measures that can mitigate this effect. © 2013 The Author(s) JCMS: Journal of Common Market Studies © 2013 John Wiley & Sons Ltd.

Saving the Euro at the cost of democracy

In this article, we discuss the increasing interdependence of societies, focusing specifically on issues of systemic instability and fragility generated by the new and unprecedented level of connectedness and complexity resulting from globalization. We define the global system as a set of tightly coupled interactions that allow for the continued flow of information, capital, goods, services, and people. Using the general concepts of globality, complexity, networks, and the nature of risk, we analyze case studies of trade, finance, infrastructure, climate change, and public health to develop empirical support for the concept of global systemic risk. We seek to identify and describe the sources and nature of such risks and methods of thinking about risks that may inform future academic research and policy-making decisions.

The Emergence of Global Systemic Risk

This paper reviews the literature on the likely economic consequences of Brexit and considers the lessons of the Brexit vote for the future of European and global integration. Brexit will make the United Kingdom poorer because it will lead to new barriers to trade and migration between the United Kingdom and the European Union. Plausible estimates put the costs to the United Kingdom at between 1 and 10 percent of income per capita. Other European Union countries will also suffer economically, but their estimated losses are much smaller. Support for Brexit came from a coalition of less-educated, older, less economically successful and more socially conservative voters. Why these voters rejected the European Union is poorly understood, but will play an important role in determining whether Brexit proves to be merely a diversion on the path to greater international integration or a sign that globalization has reached its limits.

Brexit: The Economics of International Disintegration

The Globalization Paradox: Democracy and the Future of the World Economy

This paper examines the relationship among CO2 emissions, energy use, and GDP in Russia using annual data ranging from 1990 to 2020. We first conduct time-series analyses (stationarity, structural breaks, cointegration, and causality tests). Then, we performed some Machine Learning experiments as robustness checks. Both approaches underline a bidirectional causal flow between energy use and CO2 emissions; a unidirectional link running from CO2 emissions to real GDP; and the predominance of the "neutrality hypothesis" for energy use-GDP nexus. Therefore, energy conservation measures should not adversely affect the economic growth path of the country. In the current geopolitical scenario, relevant policy implications may be derived. 

https://www.nature.com/articles/s41598-023-37251-5.pdf

The trilemma among CO2 emissions, energy use, and economic growth in Russia

ABSTRACT Using a multiple indicators and multiple causes (MIMIC) model, this paper estimates the extent of illegal gambling in Italian regions over the period 2013–18. By treating illegal gambling as an unobserved latent variable directly related to its causes and effects, this model gives information about the relationship between cause and indicator variables and the latent variable from covariance structures. From the analysis, it emerges that the share of illegal gambling increases with the value of the winnings paid; it decreases when the number of authorized machines increases. We also find that individuals with low levels of education and low income show a greater propensity to gamble illegally.

/pdf/illegal-gambling-measuring-the-market-using-the-mimic-model-198vu0p3.pdf

Illegal gambling: measuring the market using the MIMIC model

PurposeThis paper explores international trade of the Chinese manufacturing industries through the lenses of network analysis (NA) to visualise the world trade network of the Chinese economy, describe its topology and better explain the international organisation of Chinese manufacturing industries.Design/methodology/approachThe authors built a dataset of 40,550 Chinese companies and their 107,026 subsidiaries in 118 countries from Orbis-BVD and used a NA to investigate the connection between China and other countries. In particular, the authors studied the connections between Chinese companies and their subsidiaries in order to build a network of Chinese industries.FindingsThe authors found that the network of Chinese companies is ramified but not wide and it can be divided into two clusters. Moreover, the relations between China and other peripheral countries are strongly mediated by a few leading locations (e.g. Hong Kong and the USA).Originality/valueThis paper contributes to the literature in several ways. First, the authors provide empirical evidence on the magnitude and ramifications of Chinese enterprises in the world. The existing studies generally focus on applying NA to sectoral insights (Mao and Yang, 2012; Shaikh et al., 2016; Zheng et al., 2016; Wanzenbö ck, 2018; Krichene et al., 2019), whereas in this work the authors take a comprehensive view of the entire Chinese manufacturing system. Second, this paper complements the existing literature identifying the difference between cluster levels in Chinese manufacturing (Wu and Jiang, 2011) by proposing a cluster centralisation method to analyse the international network of Chinese firms rather than just the national network. Finally, the results also shed light on the international trade relationship between China, Hong Kong and the USA.

/pdf/economic-network-dynamics-a-structural-analysis-of-the-1rkjy2qn.pdf

Umberto Monarca

Papers

The Globalization Paradox: Democracy and the Future of the World Economy

The trilemma among CO2 emissions, energy use, and economic growth in Russia

Illegal gambling: measuring the market using the MIMIC model

Economic network dynamics: a structural analysis of the international connectivity of Chinese manufacturing firms