The Mathematics Of Voting And Elections

The Mathematics of Voting and Elections PDF
Author: Jonathan K. Hodge
Publisher: American Mathematical Soc.
ISBN: 0821837982
Size: 72.63 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 226
View: 5319

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The Mathematics of Voting and Elections: A Hands-on Approach will help you discover answers to these and many other questions. Easily accessible to anyone interested in the subject, the book requires virtually no prior mathematical experience beyond basic arithmetic, and includes numerous examples and discussions regarding actual elections from politics and popular culture.

The Mathematics Of Voting And Elections A Hands On Approach

The Mathematics of Voting and Elections  A Hands On Approach PDF
Author: Jonathan K. Hodge
Publisher: American Mathematical Soc.
ISBN: 1470442876
Size: 37.44 MB
Format: PDF, ePub, Mobi
Category : Elections
Languages : en
Pages : 238
View: 5311

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The Mathematics of Voting and Elections: A Hands-On Approach, Second Edition, is an inquiry-based approach to the mathematics of politics and social choice. The aim of the book is to give readers who might not normally choose to engage with mathematics recreationally the chance to discover some interesting mathematical ideas from within a familiar context, and to see the applicability of mathematics to real-world situations. Through this process, readers should improve their critical thinking and problem solving skills, as well as broaden their views of what mathematics really is and how it can be used in unexpected ways. The book was written specifically for non-mathematical audiences and requires virtually no mathematical prerequisites beyond basic arithmetic. At the same time, the questions included are designed to challenge both mathematical and non-mathematical audiences alike. More than giving the right answers, this book asks the right questions. The book is fun to read, with examples that are not just thought-provoking, but also entertaining. It is written in a style that is casual without being condescending. But the discovery-based approach of the book also forces readers to play an active role in their learning, which should lead to a sense of ownership of the main ideas in the book. And while the book provides answers to some of the important questions in the field of mathematical voting theory, it also leads readers to discover new questions and ways to approach them. In addition to making small improvements in all the chapters, this second edition contains several new chapters. Of particular interest might be Chapter 12 which covers a host of topics related to gerrymandering.

The Mathematics Of Voting And Elections

The Mathematics of Voting and Elections PDF
Author: Jonathan K. Hodge
Publisher:
ISBN: 9781470449827
Size: 16.56 MB
Format: PDF, ePub, Docs
Category : POLITICAL SCIENCE
Languages : en
Pages : 255
View: 767

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The Mathematics of Voting and Elections: A Hands-On Approach, Second Edition, is an inquiry-based approach to the mathematics of politics and social choice. The aim of the book is to give readers who might not normally choose to engage with mathematics recreationally the chance to discover some interesting mathematical ideas from within a familiar context, and to see the applicability of mathematics to real-world situations. Through this process, readers should improve their critical thinking and problem solving skills, as well as broaden their views of what mathematics really is and how it ca.

Gemeinschaftliches Entscheiden

Gemeinschaftliches Entscheiden PDF
Author: Kai Diethelm
Publisher: Springer-Verlag
ISBN: 3662487802
Size: 49.11 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : de
Pages : 138
View: 6328

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Eine Gruppe, deren Mitglieder sich zwischen mehreren zur Wahl stehenden Alternativen entscheiden müssen, hat eine große Anzahl von Möglichkeiten, aus den Präferenzen der Einzelnen eine von der Gemeinschaft getragene Entscheidung zu ermitteln. Wie lässt sich sicherstellen, dass diese gemeinschaftliche Entscheidung den Willen der Gruppe sinnvoll widerspiegelt? Die Untersuchung von Methoden, die die vielen individuellen Meinungen zu einer einzigen Entscheidung für die gesamte Gruppe zusammenfassen, und die Darstellung der wichtigsten Eigenschaften dieser Verfahren sind Inhalt dieses Buches. Neben theoretischen Überlegungen steht dabei gleichberechtigt die Betrachtung zahlreicher Beispiele, die oft unerwartete Eigenschaften erkennen lassen.

Redistricting Die Wahlkreiseinteilung F R Das Repr Sentantenhaus In Den Vereinigten Staaten

Redistricting   Die Wahlkreiseinteilung f  r das Repr  sentantenhaus in den Vereinigten Staaten PDF
Author: Michael Partmann
Publisher: Nomos Verlag
ISBN: 3845285001
Size: 37.83 MB
Format: PDF, Kindle
Category : Political Science
Languages : de
Pages : 404
View: 2074

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In den Vereinigten Staaten findet in regelmäßigen Abständen eine Neueinteilung der Wahlkreise für das Repräsentantenhaus statt. Dieses unter dem Namen Redistricting bekannte Verfahren ist von hoher politischer Sprengkraft, da Wahlkreisgrenzen über künftige Mehrheitsverhältnisse entscheiden. In diesem Band werden die unterschiedlichen Verfahren, Kriterien und Strategien der Wahlkreiseinteilung in den USA anhand zahlreicher Beispiele und detaillierter Fallstudien dargestellt. Insbesondere wird auf den Missbrauch der Wahlkreiseinteilung durch die beiden großen Parteien – Republikaner und Demokraten – eingegangen. Darauf aufbauend wird ein Reformmodell entwickelt, um die Wahlkreiseinteilung dem parteipolitischen Zugriff zu entziehen und die demokratietheoretische Legitimation der Wahlergebnisse zu erhöhen. Der Autor ist Referent für Hochschulpolitik und Hochschulentwicklung im Büro des Rektors der Technischen Universität Chemnitz.

Czech Yearbook Of International Law The Role Of Governmental And Non Governmental Organizations In The 21st Century 2014

Czech Yearbook of International Law   The Role of Governmental and Non governmental Organizations in the 21st Century   2014 PDF
Author: Alexander J. Bělohlávek,
Publisher: Juris Publishing, Inc.
ISBN: 1578233445
Size: 14.53 MB
Format: PDF, Docs
Category : Administrative agencies
Languages : en
Pages : 450
View: 4899

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The Czech Yearbooks Project, for the moment made up of the Czech Yearbook of International Law® and the Czech (& Central European) Yearbook of Arbitration®, began with the idea to create an open platform for presenting the development of both legal theory and legal practice in Central and Eastern Europe and the approximation thereof to readers worldwide. This platform should serve as an open forum for interested scholars, writers, and prospective students, as well as practitioners, for the exchange of different approaches to problems being analyzed by authors from different jurisdictions, and therefore providing interesting insight into issues being dealt with differently in many different countries.

The Mathematics Of Politics Second Edition

The Mathematics of Politics  Second Edition PDF
Author: E. Arthur Robinson
Publisher: CRC Press
ISBN: 149879890X
Size: 33.73 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 477
View: 6502

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It is because mathematics is often misunderstood, it is commonly believed it has nothing to say about politics. The high school experience with mathematics, for so many the lasting impression of the subject, suggests that mathematics is the study of numbers, operations, formulas, and manipulations of symbols. Those believing this is the extent of mathematics might conclude mathematics has no relevance to politics. This book counters this impression. The second edition of this popular book focuses on mathematical reasoning about politics. In the search for ideal ways to make certain kinds of decisions, a lot of wasted effort can be averted if mathematics can determine that finding such an ideal is actually impossible in the first place. In the first three parts of this book, we address the following three political questions: (1) Is there a good way to choose winners of elections? (2) Is there a good way to apportion congressional seats? (3) Is there a good way to make decisions in situations of conflict and uncertainty? In the fourth and final part of this book, we examine the Electoral College system that is used in the United States to select a president. There we bring together ideas that are introduced in each of the three earlier parts of the book.

Understanding The Fundamentals Of The U S Presidential Election System

Understanding the Fundamentals of the U S  Presidential Election System PDF
Author: Alexander S. Belenky
Publisher: Springer Science & Business Media
ISBN: 364223819X
Size: 58.37 MB
Format: PDF, ePub
Category : Law
Languages : en
Pages : 426
View: 3887

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This is the first book on the U.S. presidential election system to analyze the basic principles underlying the design of the existing system and those at the heart of competing proposals for improving the system. The book discusses how the use of some election rules embedded in the U.S. Constitution and in the Presidential Succession Act may cause skewed or weird election outcomes and election stalemates. The book argues that the act may not cover some rare though possible situations which the Twentieth Amendment authorizes Congress to address. Also, the book questions the constitutionality of the National Popular Vote Plan to introduce a direct popular presidential election de facto, without amending the Constitution, and addresses the plan’s “Achilles’ Heel.” In particular, the book shows that the plan may violate the Equal Protection Clause from the Fourteenth Amendment of the Constitution. Numerical examples are provided to show that the counterintuitive claims of the NPV originators and proponents that the plan will encourage presidential candidates to “chase” every vote in every state do not have any grounds. Finally, the book proposes a plan for improving the election system by combining at the national level the “one state, one vote” principle – embedded in the Constitution – and the “one person, one vote” principle. Under this plan no state loses its current Electoral College benefits while all the states gain more attention of presidential candidates.

The Moore Method

The Moore Method PDF
Author: Charles Arthur Coppin
Publisher: MAA
ISBN: 9780883851852
Size: 66.87 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 245
View: 7168

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The Moore Method: A Pathway to Learner-Centered Instruction offers a practical overview of the method as practiced by the four co-authors, serving as both a "how to" manual for implementing the method and an answer to the question, "what is the Moore method?". Moore is well known as creator of The Moore Method (no textbooks, no lectures, no conferring) in which there is a current and growing revival of interest and modified application under inquiry-based learning projects. Beginning with Moore's Method as practiced by Moore himself, the authors proceed to present their own broader definitions of the method before addressing specific details and mechanics of their individual implementations. Each chapter consists of four essays, one by each author, introduced with the commonality of the authors' writings.Topics include the culture the authors strive to establish in the classroom, their grading methods, the development of materials and typical days in the classroom. Appendices include sample tests, sample notes, and diaries of individual courses. With more than 130 references supporting the themes of the book the work provides ample additional reading supporting the transition to learner-centered methods of instruction.

Presidential Elections And Majority Rule

Presidential Elections and Majority Rule PDF
Author: Edward B. Foley
Publisher: Oxford University Press
ISBN: 0190060174
Size: 26.60 MB
Format: PDF
Category : Law
Languages : en
Pages : 352
View: 4805

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The Electoral College that governs America has been with us since 1804, when Thomas Jefferson's supporters redesigned it for his re-election. The Jeffersonians were motivated by the principle of majority rule. Gone were the days when a president would be elected by acclamation, as George Washington had been. Instead, given the emergence of intense two-party competition, the Jeffersonians wanted to make sure that the Electoral College awarded the presidency to the candidate of the majority, rather than minority, party. They also envisioned that a candidate would win by amassing a majority of Electoral College votes secured from states where the candidate's party was in the majority. For most of American history, this system has worked as intended, producing presidents who won Electoral College victories derived from state-based majorities. In the last quarter-century, however, there have been three significant aberrations from the Jeffersonian design: 1992, 2000, and 2016. In each of these years, the Electoral College victory depended on states where the winner received only a minority of votes. In this authoritative history of the American Electoral College system, Edward Foley analyzes the consequences of the unparalleled departure from the Jeffersonians' original intent-and delineates what we can do about it. He explains how states, by simply changing their Electoral College procedures, could restore the original Jeffersonian commitment to majority rule. There are various ways to do this, all of which comply with the Constitution. If only a few states had done so before 2016, the outcome might have been different. Doing so before future elections can prevent another victory that, contrary to the original Jeffersonian intent, a majority of voters did not want.

Human Computation

Human Computation PDF
Author: Edith Law
Publisher: Morgan & Claypool Publishers
ISBN: 1608455165
Size: 41.87 MB
Format: PDF, Mobi
Category : Computers
Languages : en
Pages : 105
View: 5154

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Human computation is a new and evolving research area that centers around harnessing human intelligence to solve computational problems that are beyond the scope of existing Artificial Intelligence (AI) algorithms. With the growth of the Web, human computation systems can now leverage the abilities of an unprecedented number of people via the Web to perform complex computation. There are various genres of human computation applications that exist today. Games with a purpose (e.g., the ESP Game) specifically target online gamers who generate useful data (e.g., image tags) while playing an enjoyable game. Crowdsourcing marketplaces (e.g., Amazon Mechanical Turk) are human computation systems that coordinate workers to perform tasks in exchange for monetary rewards. In identity verification tasks, users perform computation in order to gain access to some online content; an example is reCAPTCHA, which leverages millions of users who solve CAPTCHAs every day to correct words in books that optical character recognition (OCR) programs fail to recognize with certainty. This book is aimed at achieving four goals: (1) defining human computation as a research area; (2) providing a comprehensive review of existing work; (3) drawing connections to a wide variety of disciplines, including AI, Machine Learning, HCI, Mechanism/Market Design and Psychology, and capturing their unique perspectives on the core research questions in human computation; and (4) suggesting promising research directions for the future. Table of Contents: Introduction / Human Computation Algorithms / Aggregating Outputs / Task Routing / Understanding Workers and Requesters / The Art of Asking Questions / The Future of Human Computation

Geometri Eskie Svojstva Krivyh Vtorogo Por Dka

Geometri eskie svojstva krivyh vtorogo por  dka PDF
Author: Arseny V. Akopyan
Publisher: American Mathematical Soc.
ISBN: 9780821884324
Size: 31.98 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 134
View: 743

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"Geometry Of Conics deals with the properties of conics (plane curves of second degree) that can be formulated and proved using only elementary geometry. Starting with the well-known optical properties of conics, this book moves to less trivial results, both classical and contemporary. It demonstrates the advantage of purely geometric methods of studying conics."--Publisher's website.

In Search Of A Pedagogy Of Conflict And Dialogue For Mathematics Education

In Search of a Pedagogy of Conflict and Dialogue for Mathematics Education PDF
Author: Renuka Vithal
Publisher: Springer Science & Business Media
ISBN: 9781402015045
Size: 51.87 MB
Format: PDF, Kindle
Category : Education
Languages : en
Pages : 400
View: 3315

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This book is of interest to mathematics educators, researchers in mathematics education, gender, social justice, equity and democracy in education; and practitioners/teachers interested in the use of project work in mathematics teaching and learning. The book builds theoretical ideas from a careful substantial description of practice, in the attempt to improve both theory and practice in mathematics education. It thus interrogates and develops theoretical research tools for mathematics education and provides ideas for practice in mathematics classrooms.