Discrete Mathematics And Historical Analysis: A Study Of Magellan

1995 ◽  
Vol 88 (2) ◽  
pp. 106-112
Author(s):  
Arnold E. Perham ◽  
Bernadette H. Perham
Keyword(s):  
Game Theory ◽  
Graph Theory ◽  
Historical Analysis ◽  
Discrete Mathematics ◽  
Historical Narratives ◽  
Political Movements ◽  
Modeling Tools

Historical narratives often involve the lives of kings and queens, periods of exploration, or political movements. In these narratives, identifying the strategic elements and analyzing their interrelationships are interesting problems. Topics in discrete mathematics used to model conflict, like graph theory and game theory, could be helpful modeling tools of history.

BRINGING HISTORY BACK IN: PAST, PRESENT, AND CONFLICT IN RWANDA AND THE EASTERN DEMOCRATIC REPUBLIC OF CONGO

2017 ◽  
Vol 58 (3) ◽  
pp. 465-487 ◽  
Author(s):  
GILLIAN MATHYS
Keyword(s):  
Democratic Republic ◽  
Democratic Republic Of Congo ◽  
Historical Analysis ◽  
Historical Narratives ◽  
Republic Of Congo ◽  
Historical Discourse ◽  
The Past

AbstractThis article argues that on the borderland between eastern DRC and Rwanda, the past and its representations have been constantly manipulated. The cataclysmic events in both Rwanda and Congo since the 1990s have widened the gap between partial and politicized historical discourse and careful historical analysis. The failure to pay attention to the multiple layers in the production of historical narratives risks reproducing a politicized social present that ‘naturalizes’ differences and antagonisms between different groups by giving them more time-depth. This is a danger both for insiders and outsiders looking in. The answer is to focus on the historical trajectories that shape historical narratives, and to ‘bring history back in’.

Finding Dead-Point Positions of Planar Pin-Connected Linkages Through Graph Theoretical Duality Principle

2005 ◽  
Vol 128 (3) ◽  
pp. 599-609 ◽  
Author(s):  
O. Shai ◽  
I. Polansky
Keyword(s):  
Graph Theory ◽  
Discrete Mathematics ◽  
Duality Principle ◽  
Mathematical Foundation ◽  
The Dead

The paper brings another view on detecting the dead-point positions of an arbitrary planar pin-connected linkage by employing the duality principle of graph theory. It is first shown how the dead-point positions are derived through the interplay between the linkage and its dual determinate truss—the relation developed in the previous works by means of graph theory. At the next stage, the process is shown to be performed solely upon the linkage by employing a new variable, the dual of potential, termed face force. Since the mathematical foundation of the presented method is discrete mathematics, the paper points to possible computerization of the method.

The ontology of person-centered healthcare: Theoretical essentials to reground medicine within its humanistic framework. Part I - A centered concept of personhood: Some tools to conceptualise subjectivity

2018 ◽  
Vol 6 (1) ◽  
pp. 146
Author(s):  
Thomas Frölich ◽  
F F Bevier ◽  
Alicja Babakhani ◽  
Hannah H Chisholm ◽  
Peter Henningsen ◽  
...  
Keyword(s):  
Graph Theory ◽  
Free Space ◽  
Rooted Tree ◽  
The Other ◽  
Discrete Mathematics ◽  
Soap Bubble ◽  
Soap Bubbles ◽  
In Series ◽  
The One ◽  
Individual Trees

To address subjectivity, as a generally rooted phenomenon, other ways of visualisation must be applied than in conventional objectivistic approaches. Using ‘trees’ as operational metaphors, as employed in Arthur Cayley’s ‘theory of the analytical forms called trees’, one rooted ‘tree’ must be set beneath the other and, if such ‘trees’ are combined, the resulting ‘forest’ is nevertheless made up of individual ‘trees’ and not of a deconstructed mix of ‘roots’, ‘branches’, ‘leaves’ or further categories, each understood as addressable both jointly and individually. The reasons for why we have chosen a graph theory and corresponding discrete mathematics as an approach and application are set out in this first of our three articles. It combines two approaches that, in combination, are quite uncommon and which are therefore not immediately familiar to all readers. But as simple as it is to imagine a tree, or a forest, it is equally simple to imagine a child blowing soap bubbles with the aid of a blow ring. A little more challenging, perhaps, is the additional idea of arranging such blow rings in series, transforming the size of the soap bubble in one ring after the other. To finally combine both pictures, the one of trees and the other of blow rings, goes beyond simple imagination, especially when we prolong the imagined blow ring becoming a tunnel, with a specific inner shape. The inner shape of the blow ring and its expansion as a tunnel are understood as determined by discrete qualities, each forming an internal continuity, depicted as a scale, with the scales combined in the form of a glyph plot. The different positions on these scales determine their length and if the endpoints of the spines are connected with an enveloping line then this corresponds to the free space left open in the tunnel to go through it. Using so many visualisation techniques at once is testing. Nevertheless, this is what we propose here and to facilitate such a visualisation within the imagination, we do it step by step. As the intended result of this ‘juggling of three balls’, as it were, we end up with a concept of how living beings elaborate their principal structure to enable controlled outside-inside communication.

Using Dynamic Geometry Software to Teach Graph Theory: Isomorphic, Bipartite, and Planar Graphs

1997 ◽  
Vol 90 (4) ◽  
pp. 328-332
Author(s):  
Anne Larson Quinn
Keyword(s):  
Graph Theory ◽  
Planar Graphs ◽  
Software Package ◽  
Dynamic Geometry ◽  
Bipartite Graphs ◽  
Dynamic Geometry Software ◽  
Discrete Mathematics ◽  
Geometer's Sketchpad ◽  
Mathematics Courses ◽  
Mathematics Course

I have always used concrete marupulatives, such as marshmallows and toothpicks, to create models for my geometry and discrete-mathematics courses. These models have come in handy when discussing volume, introducing the 4-cube, or illustrating isomorphic or bipartite graphs. However, after discovering what a dynamic geometry–software package could do for geometry teaching, which has been well documented by research (e.g., Battista and Clements [1995]), I realized that this type of technology also had much to offer for teaching graph theory in my discrete-mathematics course. Although this article discusses The Geometer's Sketchpad 3 (Jackiw 1995), any software that can draw, label, and drag figures can be substituted for Sketchpad.

Virtus Romana

2017 ◽  
Author(s):  
Catalina Balmaceda
Keyword(s):  
Roman Republic ◽  
Cultural Values ◽  
Political System ◽  
Historical Analysis ◽  
Historical Narratives ◽  
The Political ◽  
Political Transformation ◽  
Political Concept ◽  
The Republic ◽  
The Ideal

The political transformation that took place at the end of the Roman Republic was a particularly rich area for historical analysis. The crisis that saw the end of the Roman Republic and the changes which gave birth to a new political system were narrated by major Roman historians who took the Roman idea of virtus as a way of interpreting and understanding their history. Tracing how virtus informed Roman thought over time, the book explores the concept and its manifestations in the narratives of four successive Latin historians who span the late republic and early principate: Sallust, Livy, Velleius, and Tacitus. Balmaceda demonstrates that the concept of virtus in these historical narratives served as a form of self-definition which fostered and propagated a new model of the ideal Roman more fitting to imperial times. As a crucial moral and political concept, virtus worked as a key idea in the complex system of Roman socio-cultural values and norms which underpinned Roman attitudes about both present and past. This book offers a re-appraisal of the historians as promoters of change and continuity in the political culture of both the Republic and the Empire.

A review of evolutionary graph theory with applications to game theory

Biosystems ◽  
2012 ◽  
Vol 107 (2) ◽  
pp. 66-80 ◽  
Author(s):  
Paulo Shakarian ◽  
Patrick Roos ◽  
Anthony Johnson
Keyword(s):  
Game Theory ◽  
Graph Theory ◽  
Evolutionary Graph Theory

The behavioral sciences are historical sciences of emergent complexity

2007 ◽  
Vol 30 (1) ◽  
pp. 18-19 ◽  
Author(s):  
Larry Arnhart
Keyword(s):  
Game Theory ◽  
Natural History ◽  
Cultural History ◽  
Evolutionary Game Theory ◽  
Social Life ◽  
Evolutionary Game ◽  
Historical Narratives ◽  
Behavioral Sciences ◽  
Emergent Complexity ◽  
Nested Hierarchy

Unlike physics and chemistry, the behavioral sciences are historical sciences that explain the fuzzy complexity of social life through historical narratives. Unifying the behavioral sciences through evolutionary game theory would require a nested hierarchy of three kinds of historical narratives: natural history, cultural history, and biographical history.

scholarly journals Pengembangan Buku Ajar Kompilasi Teori Graf dengan Model Addie

2019 ◽  
Vol 3 (1) ◽  
pp. 137
Author(s):  
Ratih Puspasari
Keyword(s):  
Graph Theory ◽  
Small Groups ◽  
Development Model ◽  
Discrete Mathematics ◽  
Learning Design ◽  
Development Research ◽  
Test Results ◽  
Design Development ◽  
Analysis Design ◽  
Addie Model

Latar belakang penelitian ini adalah selama proses perkuliahan Teori Graf berlangsung buku yang digunakan oleh mahasiswa mengacu pada berbagai buku teks yang beredar di pasaran namun urutan penyampaiannya tidak seragam dan terstruktur. Buku teks khusus teori graf sangat jarang sekali ada. Kalaupun ada, seringkali masuk pada sub bab matematika diskrit, sehingga dosen sering mengalami kesulitan untuk meramu materi yang sesuai dengan silabus dan RPS. Ketidaktersediaan buku Teori Graf yang dijadikan acuan sebagai sumber belajar menyebabkan mahasiswa sulit memahami konsep. Tujuan dari penelitian ini adalah menghasilkan buku ajar kompilasi Teori Graf yang berkualifikasi baik dan layak diterapkan dalam perkuliahan teori graf oleh dosen dan mahasiswa di STKIP PGRI Tulungagung. Penelitian ini merupakan penelitian dengan model ADDIE yang terdiri dari analisis, perancangan, pengembangan, implementasi, dan evaluasi. Metode pengumpulan data menggunakan kuesioner. Hasil validasi buku ajar teori graf menunjukkan bahwa ahli isi/materi menilai buku ajar berkualifikasi baik, ahli desain pembelajaran menilai buku ajar berkualifikasi baik, dan ahli media pembelajaran menilai buku ajar berkualifikasi baik. Rerata hasil uji pada kelompok kecil baik dosen maupun mahasiswa menunjukkan bahwa buku ajar yang dihasilkan berada pada kualifikasi baik. Hasil penelitian pengembangan adalah buku ajar kompilasi teori graf berkualifikasi baik, layak, dan siap digunakan oleh dosen dan mahasiswa di STKIP PGRI Tulungagung. Kata kunci: buku ajar kompilasi, teori graf, model ADDIE.   ABSTRACT The background of this research is, during the Graph Theory lecture, the books used by students are textbooks on the market which have an unstructured contents and order. Special textbooks on graph theory are very rare, even if they are often included in the sub-chapter of discrete mathematics, so that lecturers often have difficulty compiling material that is in accordance with the syllabus and lesson plans. The unavailability of the graph theory book as learning sources has made the lack of students’ understanding the concept. The purpose of this study is to produce good quality and feasible text theory compilation textbooks in lectures on graph theory by lecturers and students at STKIP PGRI Tulungagung. This research is a development research. The development model used in this study is the ADDIE model, which includes five steps: analysis, design, development, implementation, and evaluation. Data is collected using questionnaire. The results of the validation of graph theory textbooks are content/material experts assess textbooks as well qualified, learning design experts assess textbooks as well qualified, and learning media experts assess textbooks as well qualified. The average test results in small groups both lecturers and students indicate that the textbook is in good qualification. Thus the development research stated that the textbook compilation of qualified graph theory is good, feasible, and ready to be used by lecturers and students at STKIP PGRI Tulungagung. Keywords: compilation textbook, graph theory, ADDIE model.

Rational Choice and British Politics: An Analysis of Rhetoric and Manipulation from Peel to Blair. By Iain McLean. Oxford: Oxford University Press, 2001. 256p. $65.00 cloth, $29.95 paper.

2002 ◽  
Vol 96 (4) ◽  
pp. 858-859
Author(s):  
Terrence Casey
Keyword(s):  
Rational Choice ◽  
Political Development ◽  
Historical Analysis ◽  
British Politics ◽  
Political Movements ◽  
Oxford University ◽  
Margaret Thatcher ◽  
Critical Junctures ◽  
Political Dimensions ◽  
Enoch Powell

In Rational Choice and British Politics, Iain McLean applies William Riker's concept of “heresthetics” to British political history. In contrast to rhetoric (the art of persuasion), heresthetics is “the art and science of political manipulation” (p. 10). Rather than trying to convince others of one's position, heresthetics is about transforming the question and altering political dimensions so as to change the rational calculus of key actors and manufacture a supportive coalition. McLean employs the device of “analytical narratives” (historical analysis informed by rational choice methodology) to explore critical junctures in British political development, including the repeal of the Corn Laws, the Second Reform Act, the signing of the Anglo-Irish Treaty in 1922, and the political and economic revolution of Margaret Thatcher. He also explores broader political movements, including the realignment of Victorian political parties and the attempts by Joseph Chamberlain and Enoch Powell to connect race and empire into winning coalitions.

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