scholarly journals A Polynomial Composites and Monoid Domains as Algebraic Structures and their Applications

Author(s):  
Łukasz Matysiak ◽  
Magdalena Jankowska

This paper contains the results collected so far on polynomial composites in terms of many basic algebraic properties. Since it is a polynomial structure, results for monoid domains come in here and there. The second part of the paper contains the results of the relationship between the theory of polynomial composites, the Galois theory and the theory of nilpotents. The third part of this paper shows us some crypto systems. We find generalizations of known ciphers taking into account the infinite alphabet and using simple algebraic methods. We also find two cryptosystems in which the structure of Dedekind rings resides, namely certain elements are equivalent to fractional ideals. Finally, we find the use of polynomial composites and monoid domains in cryptology.

Filomat ◽  
2019 ◽  
Vol 33 (2) ◽  
pp. 367-383 ◽  
Author(s):  
Ibrahim Senturk ◽  
Tahsin Oner

In this paper, we analyze the algebraic properties of categorical syllogisms by constructing a logical calculus system called Syllogistic Logic with Carroll Diagrams (SLCD).We prove that any categorical syllogism is valid if and only if it is provable in this system. For this purpose, we explain firstly the quantitative relation between two terms by means of bilateral diagrams and we clarify premises via bilateral diagrams. Afterwards, we input the data taken from bilateral diagrams, on the trilateral diagram. With the help of the elimination method, we obtain a conclusion that is transformed from trilateral diagram to bilateral diagram. Subsequently, we study a syllogistic conclusion mapping which gives us a conclusion obtained from premises. Finally, we allege valid forms of syllogisms using algebraic methods, and we examine their algebraic properties, and also by using syllogisms, we construct algebraic structures, such as lattices, Boolean algebras, Boolean rings, and many-valued algebras (MV-algebras).


Author(s):  
Daniel Martin Feige

Der Beitrag widmet sich der Frage historischer Folgeverhältnisse in der Kunst. Gegenüber dem Gedanken, dass es ein ursprüngliches Werk in der Reihe von Werken gibt, das späteren Werken seinen Sinn gibt, schlägt der Text vor, das Verhältnis umgekehrt zu denken: Im Lichte späterer Werke wird der Sinn früherer Werke neu ausgehandelt. Dazu geht der Text in drei Schritten vor. Im ersten Teil formuliert er unter der Überschrift ›Form‹ in kritischer Abgrenzung zu Danto und Eco mit Adorno den Gedanken, dass Kunstwerke eigensinnig konstituierte Gegenstände sind. Die im Gedanken der Neuverhandlung früherer Werke im Lichte späterer Werke vorausgesetzte Unbestimmtheit des Sinns von Kunstwerken wird im zweiten Teil unter dem Schlagwort ›Zeitlichkeit‹ anhand des Paradigmas der Improvisation erörtert. Der dritte und letzte Teil wendet diese improvisatorische Logik unter dem Label ›Neuaushandlung‹ dann dezidiert auf das Verhältnis von Vorbild und Nachbild an. The article proposes a new understanding of historical succession in the realm of art. In contrast to the idea that there is an original work in the series of works that gives meaning to the works that come later, the text proposes to think it exactly the other way round: in the light of later works, the meanings of earlier works are renegotiated. The text proceeds in three steps to develop this idea. Under the heading ›Form‹ it develops in the first part a critical reading of Danto’s and Eco’s notion of the constitution of the artworks and argues with Adorno that each powerful work develops its own language. In the second part, the vagueness of the meaning of works of art presupposed in the idea of renegotiating earlier works in the light of later works is discussed under the term ›Temporality‹ in terms of the logic of improvisation. The third and final part uses this improvisational logic under the label ›Renegotiation‹ to understand the relationship between model and afterimage in the realm of art.


Author(s):  
Isao Okayasu ◽  
Chi-Ok Oh ◽  
Duarte B Morais

Running is one of the most popular activities in the world. Runners’ attitudes and behaviors vary depending on their running style. This study aims to construct different measures of running specialization based on the theory of specialization. This study also tests a runner’s stage of specialization segmentation based on recreation specialization and examines the predictive relationship between a runner’s specialization and event attachment. Three groups of sampling data assess the performance of diverse specialization measures for running in three marathon events. First, two surveys were conducted with marathon participants to assess the performance of diverse specialization measures for runners. Second, the third dataset was used to examine the relationship between a runner’s recreation specialization and event attachment.The study results showed that the 15 measures of specialization showed a good fit to the data. Our research showed how runners’ recreation specialization is connected to their event attachment. In addition, this study suggested event management for subdivisions of runners. Its practical implication is that recreation specialization for running can help us understand event attachment.


Materials ◽  
2021 ◽  
Vol 14 (14) ◽  
pp. 4046
Author(s):  
Mateusz Bronis ◽  
Edward Miko ◽  
Lukasz Nowakowski

This article discusses the relationship between the kinematic system used in drilling and the quality of through-holes. The drilling was done on a CTX Alpha 500 universal turning center using a TiAlN-coated 6.0 mm drill bit with internal cooling, mounted in a driven tool holder. The holes were cut in cylindrical 42CrMo4 + QT steel samples measuring 30 mm in diameter and 30 mm in length. Three types of hole-drilling kinematic systems were considered. The first consisted of a fixed workpiece and a tool performing rotary (primary) and linear motions. In the second system, the workpiece rotated (primary motion) while the tool moved linearly. In the third system, the workpiece and the tool rotated in opposite directions; the tool also moved linearly. The analysis was carried out for four output parameters characterizing the hole quality (i.e., cylindricity, straightness, roundness, and diameter errors). The experiment was designed using the Taguchi approach (orthogonal array). ANOVA multi-factor statistical analysis was used to determine the influence of the input parameters (cutting speed, feed per revolution and type of kinematic system) on the geometrical and dimensional errors of the hole. From the analysis, it is evident that the kinematic system had a significant effect on the hole roundness error.


2021 ◽  
Vol 12 ◽  
pp. 215145932199861
Author(s):  
Yun-fa Yang ◽  
Jian-wen Huang ◽  
Xiao-sheng Gao ◽  
Zai-li Liu ◽  
Jian-wei Wang ◽  
...  

Objective: To identify whether the timing of surgery affects red blood cell (RBC) transfusion requirements in the elderly with intertrochanteric fractures. Methods: We retrospectively studied all patients undergoing surgical fixation of their intertrochanteric fractures in our hospital between January 2009 and December 2018 and analyzed the relationship between the timing of surgery and RBC transfusion. Results: A total of 679 patients were included in this study. The need for RBC transfusion was lower in the patients who underwent surgery within 12 h after admission (timing of surgery <12 h, <12 h group) than those who underwent surgery over 12 h after admission (timing of surgery >12 h, >12 h group) (P = 0.046); lower in the the patients who underwent surgery within 24 h after admission (timing of surgery <24 h, <24 h group) than in those who underwent surgery over 24 h after admission (timing of surgery >24 h, >24 h group) (P = 0.008), and lower in the <24 h group compared to the patients who underwent surgery within 48 h after admission (timing of surgery <48 h, <48 h group) (P = 0.035). Moreover, the need for RBC transfusion was lower in the <24 h group (in the first 24 h from admission to surgery) than in the 24-48 h group (in the second 24 h from admission to surgery) (P = 0.016), and also lower in the <24 h group compared to the 48-72 h group (in the third 24 h from admission to surgery) (P = 0.047). However, there were no differences between the <12 h group and 12-24 h group, between the <12 h group and <24 h group, and between the 12-24 h group and <24 h group, respectively. Conclusion: Timing of surgery within 24 h contributes to the reduction of RBC transfusion in the elderly with intertrochanteric fractures.


2021 ◽  
Vol 10 (1) ◽  
pp. 15-40
Author(s):  
Archana Prasad

This article explores some questions arising from recent debates on patriarchy and capitalism. The focus is on the role of women in communist-led peasant movements in India and the implications of such struggles on the project of women’s emancipation. The first section lays out a framework for discussing the interface between class consciousness and the anti-patriarchal project, whereby patriarchy is located within the structural contradictions arising out of the contestations within the process of accumulation. The second section documents the historical context, focusing on the relationship between land reforms and social transformation in semi-feudal and early capitalist contexts, and analyzes the extent to which communist-led struggles are anti-patriarchal in character. The third section turns to the participation of women in the contemporary struggles of both agricultural workers and peasant movements and underlines the new emerging dialectics between women’s and peasant organizations under a neoliberal state and with deepening agrarian distress.


2017 ◽  
Vol 12 (1-2) ◽  
pp. 317-335
Author(s):  
Ngar-sze Lau

Abstract This practice report describes how Chinese meditators understand the “four foundations of mindfulness” (satipaṭṭhāna, sinianzhu 四念住) as a remedy for both mental and physical suffering. In the tradition of Theravāda Buddhism, satipaṭṭhāna is particularly recognized as the core knowledge for understanding the relationship between mind and body, and the core practice leading to liberation from suffering. Based on interviews with Chinese meditation practitioners, this study develops three main themes concerning how they have alleviated afflictions through the practice of satipaṭṭhāna. The first theme highlights how practitioners learn to overcome meditation difficulties with “right attitude.” The second theme is about practicing awareness with “six sense doors” open in order to facilitate the balance of the “five faculties.” The third theme explores how practitioners cultivate daily life practice through an understanding of the nature of mind and body as impermanent and as not-self. This paper details how these themes and embodied practices of satipaṭṭhāna constitute ways of self-healing for urban educated Buddhists in the contemporary Chinese context.


Author(s):  
H. Danin-Mankowitz ◽  
A. Ugarph-Morawski ◽  
F. Braunschweig ◽  
P. Wändell

AbstractVenous thromboembolism (VTE) is the third most common cause of cardiovascular disease. Connection between high level of physical activity (PA) and the onset of VTE is unknown. We searched the literature on the possible association between PA level, especially high levels, and the risk of VTE. A systematic review was carried out to identify relevant articles on the relation between PA level and VTE. The initial search was conducted together with the Karolinska Institutet University Library in February 2018, with follow-up searches after that. In total, 4383 records were found and then screened for exclusion of duplicates and articles outside the area of interest. In total, 16 articles with data on 3 or more levels of PA were included. Of these, 12 were cohort and 4 were case-control studies. Totally 13 studies aimed at investigating VTE cases primarily, while three studies had other primary outcomes. Of the 16 studies, five found a U-shaped association between PA level and VTE risk, although non-significant in three of them. Two articles described an association between a more intense physical activity and a higher risk of VTE, which was significant in one. Nine studies found associations between increasing PA levels and a decreasing VTE risk. Available literature provides diverging results as to the association between high levels of PA and the risk of venous thromboembolism, but with several studies showing an association. Further research is warranted to clarify the relationship between high level PA and VTE.


Itinerario ◽  
2020 ◽  
Vol 44 (3) ◽  
pp. 471-473
Author(s):  
Paolo Sartori

AbstractThis thematic issue of Itinerario brings together a selection of papers presented at the international conference Beyond the Islamicate Chancery: Archives, Paperwork, and Textual Encounters across Eurasia, which was held at the Austrian Academy of Sciences in Vienna in early October 2018. The conference was the third instalment in a series of collaborations between the Institute of Iranian Studies at the Austrian Academy of Sciences and the University of Pittsburgh examining Islamicate cultures of documentation from different angles. Surviving precolonial and colonial chancery archives across Eurasia provide an unparalleled glimpse into the inner workings of connectivity across writing cultures and, especially, documentary practices. This particular meeting has attempted to situate what has traditionally been a highly technical discipline in a broader historical dialogue on the relationship between state power, the archive, and cultural encounters.


2021 ◽  
pp. 1-22
Author(s):  
Tofigh Maboudi ◽  
Ghazal P. Nadi ◽  
Todd A. Eisenstadt

Abstract Since the third wave of democracy, term limits have become a popular fixture of most constitutions intended to constrain the executive. Yet, recent constitutional reforms around the world show that presidents seeking re-election sometimes overturn the entire constitutional order to extend their power. What is the impact of these constitutional manipulations on the longevity of the executive in office? Using survival analysis of all political leaders and national constitutions from 1875 to 2015, this article demonstrates, for the first time, that when ‘authoritarian-aspiring’ presidents remove constitutional term limits, they increase their stay in office by more than 40%. Our findings contrast with a widely held position in the comparative authoritarian literature suggesting that dictators survive longer under institutional constraints. On the contrary, we argue that by removing constitutional barriers, rulers consolidate more power at the expense of their most ambitious allies and can stay in power longer.


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