Strategies of Brazilian Elite Domination

In order to maintain their dominant socio-economic and political positions, Brazilian elites developed and employed a range of strategies in order to maintain the basic inequality regime established during the colonial period. Still among the most unequal countries in the world by Gini Coefficient, this paper seeks to show how Brazilian elites maintained their position of relative dominance through superstructural and material transformations in Brazilian society in terms of their collectively finding solutions to four problems: the Ideology of Creole Revolution, Unmanaged Elite Competition, Race Relations, and Democracy. As the latter three remain serious problems for Brazilian elites, the way previous elites navigated these threats to their position and maintained the basic nature of the inequality regime through transformations in the material base and superstructure provide insights into how Bolsonaro and contemporary conservative elites may attempt to manage the social democratic forces of the PT.

Strategies of Brazilian Elite Domination

In order to maintain their dominant socio-economic and political positions, Brazilian elites developed and employed a range of strategies in order to maintain the basic inequality regime established during the colonial period. Still among the most unequal countries in the world by Gini Coefficient, this paper seeks to show how Brazilian elites maintained their position of relative dominance through superstructural and material transformations in Brazilian society in terms of their collectively finding solutions to four problems: the Ideology of Creole Revolution, Unmanaged Elite Competition, Race Relations, and Democracy. As the latter three remain serious problems for Brazilian elites, the way previous elites navigated these threats to their position and maintained the basic nature of the inequality regime through transformations in the material base and superstructure provide insights into how Bolsonaro and contemporary conservative elites may attempt to manage the social democratic forces of the PT.

A refinement and an exact equality condition for the basic inequality of f-divergences

f-divergences play important role in probability theory, especially in information theory and in mathematical statistics. Remarkable divergences can be found among them. Inequalities for f-divergences are very useful and applicable in information theory. In this paper we give a precise equality condition and a refinement for one of the basic inequalities of f-divergences. The results are illustrated by some applications.

Unique Sequences Containing No $k$-Term Arithmetic Progressions

In this paper, we are concerned with calculating $r(k, n)$, the length of the longest $k$-AP free subsequences in $1, 2, \ldots , n$. We prove the basic inequality $r(k, n) \le n − \lfloor m/2\rfloor$, where $n = m(k − 1) + r$ and $r < k − 1$. We also discuss a generalization of a famous conjecture of Szekeres (as appears in Erdős and Turán) and describe a simple greedy algorithm that appears to give an optimal $k$-AP free sequence infinitely often. We provide many exact values of $r(k, n)$ in the Appendix.

A Basic Inequality for the Tanaka-Webster Connection

For submanifolds tangent to the structure vector field in Sasakian space forms, we establish a Chen's basic inequality between the main intrinsic invariants of the submanifold (namely, its pseudosectional curvature and pseudosectional curvature on one side) and the main extrinsic invariant (namely, squared pseudomean curvature on the other side) with respect to the Tanaka-Webster connection. Moreover, involving the pseudo-Ricci curvature and the squared pseudo-mean curvature, we obtain a basic inequality for submanifolds of a Sasakian space form tangent to the structure vector field in terms of the Tanaka-Webster connection.