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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


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.


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


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


Buildings

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/9780691166902.003.0001
Subject:
Mathematics, Combinatorics / Graph Theory / Discrete Mathematics

This chapter assembles a few standard definitions, fixes some notation, and reviews a few of the results about buildings and Moufang polygons. It also summarizes the basic facts about Coxeter groups ... More


Moufang Polygons

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/9780691166902.003.0003
Subject:
Mathematics, Combinatorics / Graph Theory / Discrete Mathematics

This chapter introduces some basic facts about Moufang polygons and root group sequences. For each root group sequence Ω‎, there is a unique Moufang polygon Δ‎ such that Ω‎ is isomorphic to a root ... More


Movement patterns and telemetry

Bruce A. Kingsbury and Nathan J. Robinson

in Reptile Ecology and Conservation: A Handbook of Techniques

Published in print:
2016
Published Online:
June 2016
ISBN:
9780198726135
eISBN:
9780191825934
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198726135.003.0009
Subject:
Biology, Biodiversity / Conservation Biology, Animal Biology

This chapter offers a methodological ‘road-map’ to assist researchers contemplating telemetry projects. Telemetry devices are often used in these studies to track the animals’ movements and this ... More


Lattice Models of Linear and Ring Polymers

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/9780199666577.003.0001
Subject:
Mathematics, Mathematical Physics

In Chapter 1 the self-avoiding walk connective constant, growth constant and subadditivity are introduced. Concatenation and the supermultiplicativity of lattice polygons are discussed. Scaling, ... More


Directed lattice paths

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/9780199666577.003.0005
Subject:
Mathematics, Mathematical Physics

Chapter 5 is an overview of Dyck, Motzkin and partially directed path models of polymer entropy. Adsorbing paths, the Temperley method and factorisation methods are discussed, including the Bethe ... More


Spatially balanced sampling

David G. Hankin, Michael S. Mohr, and Ken B. Newman

in Sampling Theory: For the Ecological and Natural Resource Sciences

Published in print:
2019
Published Online:
December 2019
ISBN:
9780198815792
eISBN:
9780191853463
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198815792.003.0012
Subject:
Biology, Biomathematics / Statistics and Data Analysis / Complexity Studies, Ecology

In many ecological and natural resource settings, there may be a high degree of spatial structure or pattern to the distribution of target variable values across the landscape. For example, the ... More


Advanced statistical techniques: spatial patterns, life tables, modelling, and population viability analysis

David J. Gibson

in Methods in Comparative Plant Population Ecology, Second Edition

Published in print:
2014
Published Online:
January 2015
ISBN:
9780199671465
eISBN:
9780191792496
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199671465.003.0008
Subject:
Biology, Plant Sciences and Forestry

This chapter moves forward from Chapter 7 (planning, choosing, and using statistics) and introduces some more advanced statistical methods that are of particular importance to plant population ... 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


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