5 research outputs found
Stepanov and Weyl Classes of c-Almost Periodic Type Functions
No full textAs an extension of some classes of generalized almost periodic functions, in this paper we develop the notion of c-almost periodicity in the sense of Stepanov and Weyl approaches. In fact, we extend some basic results of this theory which were already demonstrated for the standard cases. In particular, we prove that every c-almost periodic function in the sense of Stepanov approach (in the sense of equi-Weyl or Weyl approaches, respectively) is also cm-almost periodic in the sense of Stepanov approach (in the sense of equi-Weyl or Weyl approaches, respectively) for each non-zero integer number m. This study is performed for both representative cases of functions defined on the real axis and with values in a Banach space and the complex functions defined on vertical strips in the complex plane.Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature. Hadjer Ounis research was supported by 076 Bis/PG/Espagne/2020-2021 (Ministère de l’Enseignement Supérieur et de la Recherche Scientifique). Juan Matías Sepulcre research was partially supported by the Ministry of Science, Innovation and Universities of Spain and the European Regional Development Fund (ERDF) of the European Commission under Project Number PID2022-136399NB-C21
The class of c-almost periodic functions defined on vertical strips in the complex plane
No full textIn this paper, we develop the notion of c-almost periodicity for functions defined on vertical strips in the complex plane. As a generalization of Bohr’s concept of almost periodicity, we study the main properties of this class of functions which was recently introduced for the case of one real variable. In fact, we extend some important results of this theory which were already demonstrated for some particular cases. In particular, given a non-null complex number c, we prove that the family of vertical translates of a prefixed c-almost periodic function defined in a vertical strip U is relatively compact on any vertical substrip of U, which leads to proving that every c-almost periodic function is also almost periodic and, in fact, cm-almost periodic for each integer number m.Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature. The first author was supported by 076 Bis/PG/Espagne/2020-2021 (Ministère de l’Enseignement Supérieur et de la Recherche Scientifique). The second and corresponding author was supported by PGC2018-097960-B-C22 (MCIU/AEI/ERDF, UE)
Semi-c-periodicity, c-uniform recurrence and almost automorphy in the complex plane
No full textThis paper is devoted to develop the concepts of semi-c-periodicity, c-uniform recurrence and almost automorphy for functions defined on vertical strips in the complex plane, where c is a non-zero complex number. As an extension of the study performed for functions defined on the real axis, this work aims to investigate the main properties of these classes of functions and establish their connections with the more known class of c-almost periodic functions defined on vertical strips. In fact, we resolve an open problem which was raised in 2020 for the real case. Additionally, we also use this approach to introduce an asymptotic version of these new classes of functions.The first author’s research was supported by 076 Bis/PG/Espagne/2020-2021 (Ministère de l’Enseignement Supérieur et de la Recherche Scientifique). The second and corresponding author’s research was partially supported by Grant PID2022-136399NB-C21 funded by MICIU/AEI/10.13039/501100011033 and by ERDF/EU
The Study of Dielectric Properties of Some Ionic Liquids Based on Imidazolium by Dielectric Spectroscopy and Data Mining
No full textAbstractIonic liquids (ILs) are liquid salts of differentiating to all molten salts with temperature below 100° C (arbitrarily set with reference to the boiling point of water), but a large number of them are liquids at room temperature. The properties of ionic liquids such as their wide field of electro activity, their high conductivity, and high thermal stability have made them new prime candidates in searching for a new energy systems (photovoltaic cell, battery, solar concentrator ...). The present work objective is to study the physicochemical properties of some ionic liquids based on imidazolium ([BMIM]+ [BF4]-, [BMIM]+[PF6]-, [HMIM]+ [Br] -,[BMIM]+ [Br]−) and more particularly the dielectric properties. We performed measurements by dielectric spectroscopy to see the influence of the size of the anion and the length of the alkyl chain of the cation on the conductivity of ionic liquids at different temperatures. We made also theoretical study by using data mining techniques such as the analytical method principal components (PCA), that help us to study the relationships between variables (σ RT (S / m), Tg (K) lnσ∞ (S / m), B, T0 (K), m) and their relation with ionic liquids structure
Military Regimes, Political Power and Human Rights Violations in Postcolonial Algeria
No full textFollowing Algeria’s bloody war of independence, a new, revolutionary military establishment gradually formed out of several largely independent revolutionary units, stationed mostly on Algeria’s borders. It soon expanded with the addition of revolutionary fighters from within Algeria, and from French-trained forces, many of whom had fought against the revolutionary forces during the Revolution, and had deserted late in the war from the French military to join the new Algerian military. A particularly powerful group of officers emerged from the latter group, the “French Officers,” who apparently engaged in a long-term and ultimately successful bid for national political power.
This thesis, which is concerned with the politics behind the massive human rights violations in Algeria, particularly the periods immediately after Independence, and between 1991 and 2002, the “Algerian Civil War,” seeks to explore a central question: why did the Algerian military turn against its own people? While not denying the role of other groups (e.g., religious groups, ethnic groups) in the violence, the central focus of this thesis is on the distinctive and effective structure and role of the military, which was apparently the dominant political power in Algeria after Independence, and particularly on the role of the French Officers, who appear to have manipulated the presidency through coups d’état and assassinations, in their struggle to achieve political hegemony in Algeria by the 1990s. Central to this was the role played after Independence by Houari Boumédiène in establishing political and military organisations that were particularly susceptible to the growing influence of the French Officers.
Central topical foci of the thesis include examinations of the possible effects (on the central question, listed above) of: professionalization of the military; civil-military relations; historical influences; ethnic and religious influences; political parties and party formation; corruption and economic opportunism; international relations and continuing French influence; and the unique role of the French Officers in the national politics of Algeria.
Methodologies used in this study included the analysis of elite (non-random) interviews, based upon a questionnaire approved by the Faculty of Arts and Social Sciences Research Ethics Committee, which the author conducted in Europe and via “Skype” with nearly two dozen prominent Algerian expatriates, for the most part in exile, including former civilian leaders and military officers. Historical analysis was also a central part of the methodology, as well as discourse analysis applied to significant memoirs and newspaper accounts.
The thesis concludes that the immediate self-interests of the French Officers had a determinate effect on politics in Algeria, and particularly on the way in which the military turned against its own people after 1991. The continuing support that the French Officers apparently received from France, while not unexpected, is surprising in its extent and continuity, particularly after acts of terrorism thought to be linked to the Algerian government occurred in France. An unexpected finding of this research is the significance of corruption and economic opportunism in the Algerian military regime’s long-term strategy
