Jump to ContentJump to Main Navigation

You are looking at 1-20 of 28 items

  • Keywords: polygon x
Clear All Modify Search

View:

The Income Concept

Fred Campano and Dominick Salvatore

in Income Distribution: Includes CD

Published in print:
2006
Published Online:
May 2006
ISBN:
9780195300918
eISBN:
9780199783441
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0195300912.003.0002
Subject:
Economics and Finance, Development, Growth, and Environmental

The definition of income in developed and developing countries is introduced. The use of household sample surveys to gather information on income distribution is discussed as well as the derived ... More


Quadratic Forms of Type F4

Bernhard M¨uhlherr, Holger P. Petersson, and Richard M. Weiss

in Descent in Buildings (AM-190)

Published in print:
2015
Published Online:
October 2017
ISBN:
9780691166902
eISBN:
9781400874019
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691166902.003.0009
Subject:
Mathematics, Combinatorics / Graph Theory / Discrete Mathematics

This chapter presents various results about quadratic forms of type F₄. The Moufang quadrangles of type F₄ were discovered in the course of carrying out the classification of Moufang polygons and ... More


Residues

Bernhard M¨uhlherr, Holger P. Petersson, and Richard M. Weiss

in Descent in Buildings (AM-190)

Published in print:
2015
Published Online:
October 2017
ISBN:
9780691166902
eISBN:
9781400874019
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691166902.003.0010
Subject:
Mathematics, Combinatorics / Graph Theory / Discrete Mathematics

This chapter deals with the residues of a Bruhat-Tits building whose building at infinity is an exceptional quadrangle. It begins with the remark that if Λ‎ is an arbitrary quadratic space of type Eℓ ... More


Unramified Quadrangles of Type E6, E7 and E8

Bernhard M¨uhlherr, Holger P. Petersson, and Richard M. Weiss

in Descent in Buildings (AM-190)

Published in print:
2015
Published Online:
October 2017
ISBN:
9780691166902
eISBN:
9781400874019
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691166902.003.0011
Subject:
Mathematics, Combinatorics / Graph Theory / Discrete Mathematics

This chapter deals with the case that the building at infinity of the Bruhat-Tits building Ξ‎ is a Moufang quadrangle of type E⁶, E₇, and E₈. It begins with a hypothesis that takes into account a ... More


Quadrangles of Type E6, E7 and E8: Summary

Bernhard M¨uhlherr, Holger P. Petersson, and Richard M. Weiss

in Descent in Buildings (AM-190)

Published in print:
2015
Published Online:
October 2017
ISBN:
9780691166902
eISBN:
9781400874019
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691166902.003.0014
Subject:
Mathematics, Combinatorics / Graph Theory / Discrete Mathematics

This chapter summarizes the different cases about Moufang quadrangles of type E⁶, E₇ and E₈. The first case is that the building at infinity of the Bruhat-Tits building Ξ‎ is an unramified ... More


The Mineral Nutrition of Single Plants in Soil

Peter B. Tinker and Peter Nye

in Solute Movement in the Rhizosphere

Published in print:
2000
Published Online:
November 2020
ISBN:
9780195124927
eISBN:
9780197561324
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780195124927.003.0014
Subject:
Earth Sciences and Geography, Soil Science

Earlier chapters in this book have dealt with the various components of the soil –root system. In this chapter we aim to synthesize them into a unified treatment of a ... More


Distributions of data—four plots

Steve Selvin

in The Joy of Statistics: A Treasury of Elementary Statistical Tools and their Applications

Published in print:
2019
Published Online:
May 2019
ISBN:
9780198833444
eISBN:
9780191872280
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198833444.003.0002
Subject:
Mathematics, Probability / Statistics, Applied Mathematics

An introduction to four graphic statistical descriptions, namely histograms, stem-leaf plots, frequency polygons, and frequency distributions.


Danebury Revisited: A English Iron Age Hillfort in a Digital Landscape

Gary R. Lock and Trevor M. Harris

in Anthropology, Space, and Geographic Information Systems

Published in print:
1996
Published Online:
November 2020
ISBN:
9780195085754
eISBN:
9780197560495
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780195085754.003.0016
Subject:
Archaeology, Archaeological Methodology and Techniques

The doyen of British field archaeology, O. G. S. Crawford, noted that “The surface of England is a palimpsest, a document that has been written on and erased over and ... More


The Use of GIS to Measure Spatial Patterns of Ethnic Firms in the Los Angeles Garment Industry

Christopher G. Arnold and Richard P. Appelbaum

in Anthropology, Space, and Geographic Information Systems

Published in print:
1996
Published Online:
November 2020
ISBN:
9780195085754
eISBN:
9780197560495
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780195085754.003.0006
Subject:
Archaeology, Archaeological Methodology and Techniques

The purpose of this chapter is to describe the methodology and present some initial results in our efforts to understand the role of spatial organization in ethnic ... More


Convex lattice vesicles and directed animals

E.J. Janse Van Rensburg

in The Statistical Mechanics of Interacting Walks, Polygons, Animals and Vesicles

Published in print:
2015
Published Online:
August 2015
ISBN:
9780199666577
eISBN:
9780191748653
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199666577.003.0006
Subject:
Mathematics, Mathematical Physics

Chapter 6 covers partition and stack polygons and their scaling. Solutions of the staircase vesicle and convex polygons are reviewed, as well as the solutions of bargraph and column convex vesicles. ... More


Self-avoiding walks and polygons

E.J. Janse Van Rensburg

in The Statistical Mechanics of Interacting Walks, Polygons, Animals and Vesicles

Published in print:
2015
Published Online:
August 2015
ISBN:
9780199666577
eISBN:
9780191748653
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199666577.003.0007
Subject:
Mathematics, Mathematical Physics

Chapter 7 provides an overview of self-avoiding walks, polygons and half-space walks. The Hammersley-Welsh construction is discussed, as well as the bridge decomposition of half-space walks. Loops, ... More


Statistics

Patrick Magee and Mark Tooley

in The Physics, Clinical Measurement and Equipment of Anaesthetic Practice for the FRCA

Published in print:
2011
Published Online:
November 2020
ISBN:
9780199595150
eISBN:
9780191918032
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780199595150.003.0006
Subject:
Clinical Medicine and Allied Health, Anesthesiology

This chapter will provide background to enable the reader to understand basic statistics and be able then to follow more complex statistical ideas. Although statistics ... More


Definition of the Plaid Model

Richard Evan Schwartz

in The Plaid Model: (AMS-198)

Published in print:
2019
Published Online:
September 2019
ISBN:
9780691181387
eISBN:
9780691188997
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691181387.003.0002
Subject:
Mathematics, Educational Mathematics

This chapter defines the plaid model. The input to the plaid model is a rational A = p/q ɛ (0, 1) with pq even. The output is the union PLA of plaid polygons. The chapter is organized as follows. ... More


Using the Model

Richard Evan Schwartz

in The Plaid Model: (AMS-198)

Published in print:
2019
Published Online:
September 2019
ISBN:
9780691181387
eISBN:
9780691188997
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691181387.003.0004
Subject:
Mathematics, Educational Mathematics

This chapter explores some consequences of the results in Chapter 2, especially Theorem 2.3. It suggests that Theorem 2.3 gives a way to extract information from the geometry of the low capacity ... More


Three-Dimensional Interpretation

Richard Evan Schwartz

in The Plaid Model: (AMS-198)

Published in print:
2019
Published Online:
September 2019
ISBN:
9780691181387
eISBN:
9780691188997
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691181387.003.0006
Subject:
Mathematics, Educational Mathematics

This chapter explains the 3-dimensional interpretation of the plaid model. Section 5.2 stacks the blocks on top of each other in such a way that remotely adjacent blocks appear actually adjacent to ... More


The Plaid Master Picture Theorem

Richard Evan Schwartz

in The Plaid Model: (AMS-198)

Published in print:
2019
Published Online:
September 2019
ISBN:
9780691181387
eISBN:
9780691188997
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691181387.003.0009
Subject:
Mathematics, Educational Mathematics

This chapter aims to prove Theorem 1.4 and Theorem 0.3, the Plaid Master Picture Theorem. Both of these results are deduced from Theorem 8.2, which says that the union PLA of plaid polygons is ... More


Pinwheels and Quarter Turns

Richard Evan Schwartz

in The Plaid Model: (AMS-198)

Published in print:
2019
Published Online:
September 2019
ISBN:
9780691181387
eISBN:
9780691188997
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691181387.003.0015
Subject:
Mathematics, Educational Mathematics

This chapter is the first of three that will prove a generalization of the Graph Master Picture Theorem which works for any convex polygon P without parallel sides. The final result is Theorem 16.9, ... More


Existence of Infinite Orbits

Richard Evan Schwartz

in The Plaid Model: (AMS-198)

Published in print:
2019
Published Online:
September 2019
ISBN:
9780691181387
eISBN:
9780691188997
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691181387.003.0022
Subject:
Mathematics, Educational Mathematics

This chapter begins Part 5 of the book. This part is devoted mostly to the study of the distribution of the plaid polygons: their size and number depending on the parameter. Section 21.2 gives a ... More


Existence of Many Large Orbits

Richard Evan Schwartz

in The Plaid Model: (AMS-198)

Published in print:
2019
Published Online:
September 2019
ISBN:
9780691181387
eISBN:
9780691188997
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691181387.003.0023
Subject:
Mathematics, Educational Mathematics

A plaid polygon is called N-fat if it is not contained in any strip of width N. As a related notion, a plaid polygon is called N-long if it has diameter at least N. This chapter will prove Theorem ... More


Areas, Angles, and Polyhedra

Glen Van Brummelen

in Heavenly Mathematics: The Forgotten Art of Spherical Trigonometry

Published in print:
2017
Published Online:
May 2018
ISBN:
9780691175997
eISBN:
9781400844807
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691175997.003.0007
Subject:
Mathematics, History of Mathematics

This chapter explains how to find the area of an angle or polyhedron. It begins with a discussion of how to determine the area of a spherical triangle or polygon. The formula for the area of a ... More


View: