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## Convex Optimization Euclidean Distance Geometry 2e

Author | : Dattorro |

Publsiher | : Lulu.com |

Total Pages | : 702 |

Release | : 2017-09-12 |

ISBN 10 | : 0578161400 |

ISBN 13 | : 9780578161402 |

Language | : EN, FR, DE, ES & NL |

**Convex Optimization Euclidean Distance Geometry 2e Book Review:**

Convex Analysis is an emerging calculus of inequalities while Convex Optimization is its application. Analysis is the domain of the mathematician while Optimization belongs to the engineer. In layman's terms, the mathematical science of Optimization is a study of how to make good choices when confronted with conflicting requirements and demands. The qualifier Convex means: when an optimal solution is found, then it is guaranteed to be a best solution; there is no better choice. As any convex optimization problem has geometric interpretation, this book is about convex geometry (with particular attention to distance geometry) and nonconvex, combinatorial, and geometrical problems that can be relaxed or transformed into convexity. A virtual flood of new applications follows by epiphany that many problems, presumed nonconvex, can be so transformed. This is a BLACK & WHITE paperback. A hardcover with full color interior, as originally conceived, is available at lulu.com/spotlight/dattorro

## Euclid s Phaenomena

Author | : J. L. Berggren,R. S. D. Thomas |

Publsiher | : Routledge |

Total Pages | : 132 |

Release | : 2019-05-29 |

ISBN 10 | : 0429656793 |

ISBN 13 | : 9780429656798 |

Language | : EN, FR, DE, ES & NL |

**Euclid s Phaenomena Book Review:**

Originally published in 1996, this book contains a translation and study of Euclid's Phaenomena, a work which once formed part of the mathematical training of astronomers from Central Asia to Western Europe. Included is an introduction that sets Euclid's geometry of the celestial sphere, and its application to the astronomy of his day, into its historical context for readers not already familiar with it. So no knowledge of astronomy or advanced mathematics is necessary for an understanding of the work. The book shows mathematical astronomy shortly before the invention of trigonometry, which allowed the calculation of exact results and the subsequent composition of Ptolemy's Almagest. This work and the (roughly) contemporaneous treatises of Autolycus and Aristarchos form a corpus of the oldest extant works on mathematical astronomy. Together with Euclid's Optics one has the beginnings of the history of science as an application of mathematics.

## Phaenomena

Author | : Aratus,Solensis Aratus,Eudoxus |

Publsiher | : JHU Press |

Total Pages | : 72 |

Release | : 2010-07 |

ISBN 10 | : 0801894654 |

ISBN 13 | : 9780801894657 |

Language | : EN, FR, DE, ES & NL |

**Phaenomena Book Review:**

After the Iliad and the Odyssey, the Phaenomena was the most widely read poem in the ancient world. Its fame was immediate. It was translated into Latin by Ovid and Cicero and quoted by St. Paul in the New Testament, and it was one of the few Greek poems translated into Arabic. Aratus’ Phaenomena is a didactic poem—a practical manual in verse that teaches the reader to identify constellations and predict weather. The poem also explains the relationship between celestial phenomena and such human affairs as agriculture and navigation. Despite the historical and pedagogical importance of the poem, no English edition suitable for students and general readers has been available for decades. Aaron Poochigian’s lively translation makes accessible one of the most influential poets of antiquity. Poochigian's interpretation of the Phaenomena reestablishes the ancient link between poetry and science and demonstrates that verse is an effective medium for instruction. Featuring references to Classical mythology and science, star charts of the northern and southern skies, extensive notes, and an introduction to the work’s stylistic features and literary reception, this dynamic work will appeal to students of Ancient Greece who want to deepen their understanding of the Classical world.

## Gayellow Pages 37 2015 2016

Author | : Frances Green |

Publsiher | : Renaissance House |

Total Pages | : 560 |

Release | : 2015-07-28 |

ISBN 10 | : 1885404301 |

ISBN 13 | : 9781885404305 |

Language | : EN, FR, DE, ES & NL |

**Gayellow Pages 37 2015 2016 Book Review:**

Please check our website for the latest monthly update (free) and details to buy the annual print edition. We are a directory of resources (business and organizational) for LGBTQI USA, sold in gay-friendly bookstores since 1973 and available online (updated monthly) at no charge. Canada online only at present. "The most reliable Gay print source in the Gay community. I've been using it since the 1970s." -- Dr Charles Silverstein, author of 'The Joy of Gay Sex'.

## Causal Analytics for Applied Risk Analysis

Author | : Louis Anthony Cox Jr.,Douglas A. Popken,Richard X. Sun |

Publsiher | : Springer |

Total Pages | : 588 |

Release | : 2018-06-19 |

ISBN 10 | : 3319782428 |

ISBN 13 | : 9783319782423 |

Language | : EN, FR, DE, ES & NL |

**Causal Analytics for Applied Risk Analysis Book Review:**

Causal analytics methods can revolutionize the use of data to make effective decisions by revealing how different choices affect probabilities of various outcomes. This book presents and illustrates models, algorithms, principles, and software for deriving causal models from data and for using them to optimize decisions with uncertain outcomes. It discusses how to describe and summarize situations; detect changes; evaluate effects of policies or interventions; learn what works best under different conditions; predict values of as-yet unobserved quantities from available data; and identify the most likely explanations for observed outcomes, including surprises and anomalies. The book resents practical techniques for causal modeling and analytics that practitioners can apply to improve understanding of how choices affect probabilities of consequences and, based on this understanding, to recommend choices that are more likely to accomplish their intended objectives.The book begins with a survey of modern analytics methods, focusing mainly on techniques useful for decision, risk, and policy analysis. Chapter 2 introduces free in-browser software, including the Causal Analytics Toolkit (CAT) software, to enable readers to perform the analyses described and to apply modern analytics methods easily to their own data sets. Chapters 3 through 11 show how to apply causal analytics and risk analytics to practical risk analysis challenges, mainly related to public and occupational health risks from pathogens in food or from pollutants in air. Chapters 12 through 15 turn to broader questions of how to improve risk management decision-making by individuals, groups, organizations, institutions, and multi-generation societies with different cultures and norms for cooperation. These chapters examine organizational learning, community resilience, societal risk management, and intergenerational collaboration and justice in managing risks.

## Theory of the Border

Author | : Thomas Nail |

Publsiher | : Oxford University Press |

Total Pages | : 288 |

Release | : 2016-08-30 |

ISBN 10 | : 0190618655 |

ISBN 13 | : 9780190618650 |

Language | : EN, FR, DE, ES & NL |

**Theory of the Border Book Review:**

Despite -- and perhaps because of -- increasing global mobility, there are more types of borders today than ever before in history. Borders of all kinds define every aspect of social life in the twenty-first century. From the biometric data that divides the smallest aspects of our bodies to the aerial drones that patrol the immense expanse of our domestic and international airspace, we are defined by borders. They can no longer simply be understood as the geographical divisions between nation-states. Today, their form and function has become too complex, too hybrid. What we need now is a theory of the border that can make sense of this hybridity across multiple domains of social life. Rather than viewing borders as the result or outcome of pre-established social entities like states, Thomas Nail reinterprets social history from the perspective of the continual and constitutive movement of the borders that organize and divide society in the first place. Societies and states are the products of bordering, Nail argues, not the other way around. Applying his original movement-oriented theoretical framework "kinopolitics" to several major historical border regimes (fences, walls, cells, and checkpoints), Theory of the Border pioneers a new methodology of "critical limology," that provides fresh tools for the analysis of contemporary border politics.

## Geometry Euclid and Beyond

Author | : Robin Hartshorne |

Publsiher | : Springer Science & Business Media |

Total Pages | : 528 |

Release | : 2013-11-11 |

ISBN 10 | : 0387226761 |

ISBN 13 | : 9780387226767 |

Language | : EN, FR, DE, ES & NL |

**Geometry Euclid and Beyond Book Review:**

This book offers a unique opportunity to understand the essence of one of the great thinkers of western civilization. A guided reading of Euclid's Elements leads to a critical discussion and rigorous modern treatment of Euclid's geometry and its more recent descendants, with complete proofs. Topics include the introduction of coordinates, the theory of area, history of the parallel postulate, the various non-Euclidean geometries, and the regular and semi-regular polyhedra.

## Introduction to Number Theory

Author | : Richard Michael Hill |

Publsiher | : World Scientific Publishing Company |

Total Pages | : 264 |

Release | : 2017-12-04 |

ISBN 10 | : 1786344734 |

ISBN 13 | : 9781786344731 |

Language | : EN, FR, DE, ES & NL |

**Introduction to Number Theory Book Review:**

Introduction to Number Theory is dedicated to concrete questions about integers, to place an emphasis on problem solving by students. When undertaking a first course in number theory, students enjoy actively engaging with the properties and relationships of numbers. The book begins with introductory material, including uniqueness of factorization of integers and polynomials. Subsequent topics explore quadratic reciprocity, Hensel's Lemma, p-adic powers series such as exp(px) and log(1+px), the Euclidean property of some quadratic rings, representation of integers as norms from quadratic rings, and Pell's equation via continued fractions. Throughout the five chapters and more than 100 exercises and solutions, readers gain the advantage of a number theory book that focuses on doing calculations. This textbook is a valuable resource for undergraduates or those with a background in university level mathematics.

## The Spatial Reformation

Author | : Michael J. Sauter |

Publsiher | : University of Pennsylvania Press |

Total Pages | : 344 |

Release | : 2018-12-14 |

ISBN 10 | : 0812250664 |

ISBN 13 | : 9780812250664 |

Language | : EN, FR, DE, ES & NL |

**The Spatial Reformation Book Review:**

In The Spatial Reformation, Michael J. Sauter offers a sweeping history of the way Europeans conceived of three-dimensional space, including the relationship between Earth and the heavens, between 1350 and 1850. He argues that this "spatial reformation" provoked a reorganization of knowledge in the West that was arguably as important as the religious Reformation. Notably, it had its own sacred text, which proved as central and was as ubiquitously embraced: Euclid's Elements. Aside from the Bible, no other work was so frequently reproduced in the early modern era. According to Sauter, its penetration and suffusion throughout European thought and experience call for a deliberate reconsideration not only of what constitutes the intellectual foundation of the early modern era but also of its temporal range. The Spatial Reformation contends that space is a human construct: that is, it is a concept that arises from the human imagination and gets expressed physically in texts and material objects. Sauter begins his examination by demonstrating how Euclidean geometry, when it was applied fully to the cosmos, estranged God from man, enabling the breakthrough to heliocentrism and, by extension, the discovery of the New World. Subsequent chapters provide detailed analyses of the construction of celestial and terrestrial globes, Albrecht Dürer's engraving Melencolia, the secularization of the natural history of the earth and man, and Hobbes's rejection of Euclid's sense of space and its effect on his political theory. Sauter's exploration culminates in the formation of a new anthropology in the eighteenth century that situated humanity in reference to spaces and places that human eyes had not actually seen. The Spatial Reformation illustrates how these disparate advancements can be viewed as resulting expressly from early modernity's embrace of Euclidean geometry.

## Structure and Interpretation of Computer Programs

Author | : Harold Abelson,Gerald Jay Sussman,Julie Sussman |

Publsiher | : MIT Electrical Engineering and Computer Science |

Total Pages | : 657 |

Release | : 1996 |

ISBN 10 | : 0262510871 |

ISBN 13 | : 9780262510875 |

Language | : EN, FR, DE, ES & NL |

**Structure and Interpretation of Computer Programs Book Review:**

NOT AVAILABLE IN THE US AND CANADA. Customers in the US and Canada must order the Cloth edition of this title.

## Convex Optimization Euclidean Distance Geometry

Author | : Jon Dattorro |

Publsiher | : Meboo Publishing USA |

Total Pages | : 570 |

Release | : 2005-01-01 |

ISBN 10 | : 0976401304 |

ISBN 13 | : 9780976401308 |

Language | : EN, FR, DE, ES & NL |

**Convex Optimization Euclidean Distance Geometry Book Review:**

The study of Euclidean distance matrices (EDMs) fundamentally asks what can be known geometrically given onlydistance information between points in Euclidean space. Each point may represent simply locationor, abstractly, any entity expressible as a vector in finite-dimensional Euclidean space.The answer to the question posed is that very much can be known about the points;the mathematics of this combined study of geometry and optimization is rich and deep.Throughout we cite beacons of historical accomplishment.The application of EDMs has already proven invaluable in discerning biological molecular conformation.The emerging practice of localization in wireless sensor networks, the global positioning system (GPS), and distance-based pattern recognitionwill certainly simplify and benefit from this theory.We study the pervasive convex Euclidean bodies and their various representations.In particular, we make convex polyhedra, cones, and dual cones more visceral through illustration, andwe study the geometric relation of polyhedral cones to nonorthogonal bases biorthogonal expansion.We explain conversion between halfspace- and vertex-descriptions of convex cones,we provide formulae for determining dual cones,and we show how classic alternative systems of linear inequalities or linear matrix inequalities and optimality conditions can be explained by generalized inequalities in terms of convex cones and their duals.The conic analogue to linear independence, called conic independence, is introducedas a new tool in the study of classical cone theory; the logical next step in the progression:linear, affine, conic.Any convex optimization problem has geometric interpretation.This is a powerful attraction: the ability to visualize geometry of an optimization problem.We provide tools to make visualization easier.The concept of faces, extreme points, and extreme directions of convex Euclidean bodiesis explained here, crucial to understanding convex optimization.The convex cone of positive semidefinite matrices, in particular, is studied in depth.We mathematically interpret, for example,its inverse image under affine transformation, and we explainhow higher-rank subsets of its boundary united with its interior are convex.The Chapter on "Geometry of convex functions",observes analogies between convex sets and functions:The set of all vector-valued convex functions is a closed convex cone.Included among the examples in this chapter, we show how the real affinefunction relates to convex functions as the hyperplane relates to convex sets.Here, also, pertinent results formultidimensional convex functions are presented that are largely ignored in the literature;tricks and tips for determining their convexityand discerning their geometry, particularly with regard to matrix calculus which remains largely unsystematizedwhen compared with the traditional practice of ordinary calculus.Consequently, we collect some results of matrix differentiation in the appendices.The Euclidean distance matrix (EDM) is studied,its properties and relationship to both positive semidefinite and Gram matrices.We relate the EDM to the four classical axioms of the Euclidean metric;thereby, observing the existence of an infinity of axioms of the Euclidean metric beyondthe triangle inequality. We proceed byderiving the fifth Euclidean axiom and then explain why furthering this endeavoris inefficient because the ensuing criteria (while describing polyhedra)grow linearly in complexity and number.Some geometrical problems solvable via EDMs,EDM problems posed as convex optimization, and methods of solution arepresented;\eg, we generate a recognizable isotonic map of the United States usingonly comparative distance information (no distance information, only distance inequalities).We offer a new proof of the classic Schoenberg criterion, that determines whether a candidate matrix is an EDM. Our proofrelies on fundamental geometry; assuming, any EDM must correspond to a list of points contained in some polyhedron(possibly at its vertices) and vice versa.It is not widely known that the Schoenberg criterion implies nonnegativity of the EDM entries; proved here.We characterize the eigenvalues of an EDM matrix and then devisea polyhedral cone required for determining membership of a candidate matrix(in Cayley-Menger form) to the convex cone of Euclidean distance matrices (EDM cone); \ie,a candidate is an EDM if and only if its eigenspectrum belongs to a spectral cone for EDM^N.We will see spectral cones are not unique.In the chapter "EDM cone", we explain the geometric relationship betweenthe EDM cone, two positive semidefinite cones, and the elliptope.We illustrate geometric requirements, in particular, for projection of a candidate matrixon a positive semidefinite cone that establish its membership to the EDM cone. The faces of the EDM cone are described,but still open is the question whether all its faces are exposed as they are for the positive semidefinite cone.The classic Schoenberg criterion, relating EDM and positive semidefinite cones, isrevealed to be a discretized membership relation (a generalized inequality, a new Farkas''''''''-like lemma)between the EDM cone and its ordinary dual. A matrix criterion for membership to the dual EDM cone is derived thatis simpler than the Schoenberg criterion.We derive a new concise expression for the EDM cone and its dual involvingtwo subspaces and a positive semidefinite cone."Semidefinite programming" is reviewedwith particular attention to optimality conditionsof prototypical primal and dual conic programs,their interplay, and the perturbation method of rank reduction of optimal solutions(extant but not well-known).We show how to solve a ubiquitous platonic combinatorial optimization problem from linear algebra(the optimal Boolean solution x to Ax=b)via semidefinite program relaxation.A three-dimensional polyhedral analogue for the positive semidefinite cone of 3X3 symmetricmatrices is introduced; a tool for visualizing in 6 dimensions.In "EDM proximity"we explore methods of solution to a few fundamental and prevalentEuclidean distance matrix proximity problems; the problem of finding that Euclidean distance matrix closestto a given matrix in the Euclidean sense.We pay particular attention to the problem when compounded with rank minimization.We offer a new geometrical proof of a famous result discovered by Eckart \& Young in 1936 regarding Euclideanprojection of a point on a subset of the positive semidefinite cone comprising all positive semidefinite matriceshaving rank not exceeding a prescribed limit rho.We explain how this problem is transformed to a convex optimization for any rank rho.

## Guide to U S Environmental Policy

Author | : Sally K. Fairfax,Edmund Russell |

Publsiher | : CQ Press |

Total Pages | : 536 |

Release | : 2014-08-14 |

ISBN 10 | : 1483346552 |

ISBN 13 | : 9781483346557 |

Language | : EN, FR, DE, ES & NL |

**Guide to U S Environmental Policy Book Review:**

Guide to U.S. Environmental Policy provides the analytical connections showing readers how issues and actions are translated into public policies and persistent institutions for resolving or managing environmental conflict in the U.S. The guide highlights a complex decision-making cycle that requires the cooperation of government, business, and an informed citizenry to achieve a comprehensive approach to environmental protection. The book’s topical, operational, and relational essays address development of U.S. environmental policies, the federal agencies and public and private organizations that frame and administer environmental policies, and the challenges of balancing conservation and preservation against economic development, the ongoing debates related to turning environmental concerns into environmental management, and the role of the U.S. in international organizations that facilitate global environmental governance. Key Features: 30 essays by leading conservationists and scholars in the field investigate the fundamental political, social, and economic processes and forces driving policy decisions about the protection and future of the environment. Essential themes traced through the chapters include natural resource allocation and preservation, human health, rights of indigenous peoples, benefits of recycling, economic and other policy areas impacted by responses to green concerns, international cooperation, and immediate and long-term costs associated with environmental policy. The essays explore the impact made by key environmental policymakers, presidents, and politicians, as well as the topical issues that have influenced U.S. environmental public policy from the colonial period to the present day. A summary of regulatory agencies for environmental policy, a selected bibliography, and a thorough index are included. This must-have reference for political science and public policy students who seek to understand the forces that U.S. environmental policy is suitable for academic, public, high school, government, and professional libraries.

## The Government Took My Property

Author | : Silas Flint |

Publsiher | : Silas Flint |

Total Pages | : 102 |

Release | : 2014-11-14 |

ISBN 10 | : 1311440682 |

ISBN 13 | : 9781311440686 |

Language | : EN, FR, DE, ES & NL |

**The Government Took My Property Book Review:**

Most people don't think much about acquisitions or "takings" of private property by the government--until they receive a letter that their land is about to be taken! This complex subject is made easy to understand in this volume. The author uses zany humor and bizarre examples to describe the history of acquisitions in Australia and the USA, and how they have come to be what they are today. While the book is written from an Australian perspective, it also provides significant insights into American takings and how they operate.

## Gayellow Pages USA 34 2012 2013

Author | : Frances Green |

Publsiher | : Renaissance House |

Total Pages | : 552 |

Release | : 2012-04 |

ISBN 10 | : 188540428X |

ISBN 13 | : 9781885404282 |

Language | : EN, FR, DE, ES & NL |

**Gayellow Pages USA 34 2012 2013 Book Review:**

A directory of resources (business and organizational) for LGBTQI USA, sold in gay-friendly bookstores since 1973 and available online (updated monthly) at no charge. "The most reliable gay print source in the gay community. I've been using it since the 1970s."NDr. Charles Silverstein, author of "The Joy of Gay Sex."

## The Quantum of Explanation

Author | : Randall E. Auxier,Gary L. Herstein |

Publsiher | : Taylor & Francis |

Total Pages | : 370 |

Release | : 2017-03-31 |

ISBN 10 | : 1351792482 |

ISBN 13 | : 9781351792486 |

Language | : EN, FR, DE, ES & NL |

**The Quantum of Explanation Book Review:**

The Quantum of Explanation advances a bold new theory of how explanation ought to be understood in philosophical and cosmological inquiries. Using a complete interpretation of Alfred North Whitehead’s philosophical and mathematical writings and an interpretive structure that is essentially new, Auxier and Herstein argue that Whitehead has never been properly understood, nor has the depth and breadth of his contribution to the human search for knowledge been assimilated by his successors. This important book effectively applies Whitehead’s philosophy to problems in the interpretation of science, empirical knowledge, and nature. It develops a new account of philosophical naturalism that will contribute to the current naturalism debate in both Analytic and Continental philosophy. Auxier and Herstein also draw attention to some of the most important differences between the process theology tradition and Whitehead’s thought, arguing in favor of a Whiteheadian naturalism that is more or less independent of theological concerns. This book offers a clear and comprehensive introduction to Whitehead’s philosophy and is an essential resource for students and scholars interested in American philosophy, the philosophy of mathematics and physics, and issues associated with naturalism, explanation and radical empiricism.

## Advanced Real Analysis

Author | : Anthony W. Knapp |

Publsiher | : Springer Science & Business Media |

Total Pages | : 466 |

Release | : 2008-07-11 |

ISBN 10 | : 9780817644420 |

ISBN 13 | : 0817644423 |

Language | : EN, FR, DE, ES & NL |

**Advanced Real Analysis Book Review:**

* Presents a comprehensive treatment with a global view of the subject * Rich in examples, problems with hints, and solutions, the book makes a welcome addition to the library of every mathematician

## Category Theory in Context

Author | : Emily Riehl |

Publsiher | : Courier Dover Publications |

Total Pages | : 272 |

Release | : 2017-03-09 |

ISBN 10 | : 0486820807 |

ISBN 13 | : 9780486820804 |

Language | : EN, FR, DE, ES & NL |

**Category Theory in Context Book Review:**

Introduction to concepts of category theory — categories, functors, natural transformations, the Yoneda lemma, limits and colimits, adjunctions, monads — revisits a broad range of mathematical examples from the categorical perspective. 2016 edition.

## His Broken Body

Author | : Laurent Cleenewerck |

Publsiher | : Euclid University Press |

Total Pages | : 448 |

Release | : 2007 |

ISBN 10 | : 0615183611 |

ISBN 13 | : 9780615183619 |

Language | : EN, FR, DE, ES & NL |

**His Broken Body Book Review:**

A comprehensive, objective, scholarly and yet easy-to-read presentation of the differences, both historical, theological and liturgical between Roman Catholicism and Eastern Orthodoxy. The ideal complement (or even antidote) to such books as Upon this Rock; Jesus, Peter and the Keys; Two Paths; The Primacy of Peter; etc. Discusses Peter's Primacy and Succession, Ecclesiology, Infallibility, the Filioque, Celibacy, etc.

## The Endangered Species Act

Author | : J. Peyton Doub |

Publsiher | : CRC Press |

Total Pages | : 282 |

Release | : 2016-04-19 |

ISBN 10 | : 1000219046 |

ISBN 13 | : 9781000219043 |

Language | : EN, FR, DE, ES & NL |

**The Endangered Species Act Book Review:**

The complex regulations of the Endangered Species Act can be challenging for environmental professionals who must comply with them or assist clients in compliance. This volume discusses the Act using clear scientific prose that all professionals can readily comprehend. It explores the history and the basic scientific theory underlying the Act. It provides an overview of its key provisions and examines the Act in the context of other key environmental planning statutes. The book also details the regulatory processes faced by other government agencies and private developers who must routinely ensure that their actions are in compliance.

## Private Property Community Development and Eminent Domain

Author | : Robin Paul Malloy |

Publsiher | : Routledge |

Total Pages | : 230 |

Release | : 2016-04-15 |

ISBN 10 | : 1317075668 |

ISBN 13 | : 9781317075660 |

Language | : EN, FR, DE, ES & NL |

**Private Property Community Development and Eminent Domain Book Review:**

The contributors in this volume address the fundamental relationship between the state and its citizens, and among the people themselves. Discussion centers on a recent decision by the United States Supreme Court in the case of Kelo v. City of New London. This case involved the use of eminent domain power to acquire private property for purposes of transferring it by the State to another private party that would make "better" economic use of the land. This type of state action has been identified as an "economic development taking". In the Kelo case, the Court held that the action was legal within provisions of the US Constitution but the opinion was contentious among some of the Justices and has been met with significant negative outcry from the public. The Kelo case and the public debate arising in its aftermath give cause to assess the legal landscape related to the ability of government to fairly balance the tension between private property and the public interest. The tension and the need to successfully strike a balance are not unique to any one country or any one political system. From the United States to the United Kingdom, to the People's Republic of China, property and its legal regulation are of prime importance to matters of economic development and civic institution building. The Kelo decision, therefore, explores a rich set of legal principles with broad applicability.