A First Course in Analytic Geometry . Two and three dimensions treated simultaneously. H. Glenn Ayre and Rothwell Stephens. Van Nostrand, New York, 1956. 224 pp. Illus. $3.85.

Science ◽  
1957 ◽  
Vol 125 (3260) ◽  
pp. 1250-1250
Author(s):  
John A. Brown
Keyword(s):  
New York ◽  
Three Dimensions ◽  
Analytic Geometry

The Continuing Problem of Special Districts in American Government

2011 ◽  
Vol 11 (1) ◽  
pp. 52-67 ◽  
Author(s):  
Larita Killian
Keyword(s):  
New York ◽  
Local Governments ◽  
Census Bureau ◽  
Three Dimensions ◽  
The Public ◽  
Reporting Practices ◽  
Special Districts ◽  
Theoretical Perspectives ◽  
Policy Alignment ◽  
Definition Of

ABSTRACT Due to fiscal constraints and demands for increased accountability, scholars and public officials are reviewing the structure and reporting practices of local governments. These efforts are often incomplete, however, because they bypass special districts, which now comprise over 40 percent of all local governments. The proliferation of special districts has the potential to increase government costs, redirect the allocation of scarce resources, remove debt and expenditure practices from the public eye, and reduce democratic controls over elected officials. This paper highlights some of the public interest concerns related to these entities to inform future, localized research. For decades, scholars have approached special districts from two opposing theoretical perspectives: institutional reform and public choice. Literature from these opposing perspectives is used to analyze special districts along three dimensions: efficiency and economy of operations, policy alignment and allocation of resources, and democratic accountability. This paper uses the U.S. Census Bureau definition of special districts, though alternative definitions are discussed. Efforts by four states (Florida, Pennsylvania, Indiana, and New York) to improve local government, and their varying approaches to special districts, are reviewed, leading to the conclusion that the complex issues related to special districts must be resolved within state contexts.

scholarly journals On the Implicit Equation of Conics and Quadrics Offsets

Mathematics ◽  
2021 ◽  
Vol 9 (15) ◽  
pp. 1784
Author(s):  
Jorge Caravantes ◽  
Gema M. Diaz-Toca ◽  
Mario Fioravanti ◽  
Laureano Gonzalez-Vega
Keyword(s):  
Three Dimensions ◽  
Analytic Geometry ◽  
Implicit Equation ◽  
Determinantal Representation ◽  
Point Positioning ◽  
Geometric Queries ◽  
Expanded Form

A new determinantal representation for the implicit equation of offsets to conics and quadrics is derived. It is simple, free of extraneous components and provides a very compact expanded form, these representations being very useful when dealing with geometric queries about offsets such as point positioning or solving intersection purposes. It is based on several classical results in “A Treatise on the Analytic Geometry of Three Dimensions” by G. Salmon for offsets to non-degenerate conics and central quadrics.

A Treatise on the Analytic Geometry of Three Dimensions.

Biometrika ◽  
1959 ◽  
Vol 46 (1/2) ◽  
pp. 271
Author(s):  
F. N. David ◽  
George Salmon ◽  
C. H. Rowe
Keyword(s):  
Three Dimensions ◽  
Analytic Geometry

scholarly journals The financialisation of urban infrastructure: A framework of analysis

Urban Studies ◽  
2018 ◽  
Vol 56 (7) ◽  
pp. 1304-1325 ◽  
Author(s):  
Phillip O’Neill
Keyword(s):  
New York ◽  
Capital Structure ◽  
Balance Sheet ◽  
Urban Infrastructure ◽  
Three Dimensions ◽  
Financial Asset ◽  
Organisational Structure ◽  
Regulatory Structure ◽  
Infrastructure Investments ◽  
Insight Into

The literature on the financialisation of urban infrastructure typically traces how an infrastructure asset’s balance sheet is (re)engineered to create a financial asset. What the literature neglects are the processes by which an asset generates urban flows. Attention to these processes, we argue, not only gives better insight into the processes of financialisation of infrastructure but also exposes how the act of financing affects the operations of cities through its influence on the performance of infrastructure assets. The argument presented in the article is informed by case studies of infrastructure investments revealed in interviews conducted in New York, London and Sydney. This material is drawn on to generate a framework for understanding the relationships between infrastructure investing and the infrastructure-enabled flows of a city. This framework has three dimensions through which the financialisation process is seen to be mediated. These are capital structure, organisational structure and regulatory structure. The article argues that these mezzanine-level conceptualisations enable us to explore the to-and-fro between financing and operating cities. A key proposition is that the physical flows of a city are basic not only to the design and enactment of an investment instrument but also to its financial viability. The realisation of this relationship has changed the way investors approach infrastructure assets as investment products. Implications for urban management are drawn.

Introduction

1990 ◽  
Author(s):  
Steven Kim
Keyword(s):  
New York ◽  
Difficult Problem ◽  
Two Dimensions ◽  
Three Dimensions ◽  
High Yield ◽  
Acceptable Solution ◽  
Theory Of Intelligence ◽  
Creative Solutions ◽  
The World ◽  
The Face

The world around us abounds with problems requiring creative solutions. Some of these are naturally induced, as when an earthquake levels a city or an epidemic decimates a population. Others are products of our own creation, as in the “need” to curb pollution, to develop a theory of intelligence, or to compose works of art. Still others are a combination of both, as in the development of high-yield grains to feed an overpopulated planet, or the maintenance of health in the face of ravaging diseases. The word problem is used in a general sense to refer to any mental activity having some recognizable goal. The goal itself may not be apparent beforehand. Problems may be characterized by three dimensions relating to domain, difficulty, and size. These attributes are depicted in Figure 1.1. The domain refers to the realm of application. These realms may relate to the sciences, technology, arts, or social crafts. The dimension of difficulty pertains to the conceptual challenge involved in identifying an acceptable solution to the problem. A difficult problem, then, is one that admits no obvious solution, nor even a well-defined approach to seeking it. The size denotes the magnitude of work or resources required to develop a solution and implement it. This attribute differs from the notion of difficulty in that it applies to the stage that comes after a solution has been identified. In other words, difficulty refers to the prior burden in defining a problem or identifying a solution, while size describes the amount of work required to implement or realize the solution once it has jelled conceptually. For convenience in representation on a 2-dimensional page, the domain axis may be compressed into the plane of other attributes. The result is Figure 1.2, which presents sample problems to illustrate the two dimensions of difficulty and size. Cleaning up spilled milk is a trivial problem having numerous simple solutions. In contrast, refacing the subway trains in New York City with a fresh coat of paint is a formidable task that could require hundreds of workyears of effort.

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