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Monograph
One 78
pp. (master document prepared using
MTS by Gwen Nystuen)
Sandra L. Arlinghaus and John
D. Nystuen, 1986.
Mathematical Geography
and Global Art: the Mathematics of David Barr's `Four
Corners Project'.
2009: Link
to Supplementary Materials.
- Front
Matter
- Table of
Contents
- Chapter
1. Introduction
- Chapter
2. Four Corner Sites for the Tetrahedron
Sculpture
- Chapter
3. Extension of Barr's Problem to the Set of
Platonic Solids
- Chapter
4. Uniqueness Questions
- Appendix
A. Some Solid Geometry
- Appendix
B. Some Linear Algebra
- Appendix
C. Terrae Antipodum: Antipodal Landmass
Map
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Monograph
Two 79
pp. (master document prepared using
a typewriter)
Sandra L. Arlinghaus, 1986.
Down the Mail Tubes: the
Pressured Postal Era, 1853-1984.
2009: Link
to Supplementary Materials.
- Front
Matter
- Review by
Sylvia L. Thrupp
- Table of
Contents
- Introduction
- Pneumatic
Postal Networks in Western Europe
- Pneumatic
Postal Networks in the United States
- Transfer
of Technology
- Appendix
- Notes
- Source of
Maps and Figures
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Monograph
Three 167 pp. (original
document prepared by the author using a typewriter)
Sandra L. Arlinghaus, 1986.
Essays on Mathematical
Geography.
2009: Link to Supplementary Materials.
- Front
Matter
- Table of
Contents
- The
Well-tempered Map Projection
- Antipodal
Graphs
- Measuring
the Vertical City
- Concavity
and Human Settlement Patterns
- Steiner
Transformations
- Analogue
Clocks
- Fad and
Permanence in Human Systems
- Topological
Exploration
in Geography
- A Space
for Thought
- Chaos in
Human Systems--The Heine-Borel Theorem
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Monograph
Four 118 pp. plus front matter. (Original document prepared by the author
using a typewriter)
Robert F. Austin, 1986.
A Historical Gazetteer of
Southeast Asia.
2009: Link to Supplementary Materials.
- Cover
- Front
Matter
- Introduction
- Gazetteer
- Notes and
Abbreviations
- Additional
References
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Monograph
Five 101 pp. (original
document prepared by the author using ChiWriter)
Sandra L. Arlinghaus, 1987.
Essays on Mathematical
Geography-II.
- Cover
- Dedication
- Frontispiece:
The
Atlantic Drainage Tree
- Acknowledgment
- Table of
Contents
- Getting a
Handel on Water-graphs
- Terror in
Transit: A Graph Theoretic Approach to the
Passive Defense of Urban Networks
- Terrae
Antipodum
- Urban
Inversion
- Fractals:
Constructions,
Speculations,
and Concepts
- Solar
Woks
- A
Pneumatic Postal Plan: The Chambered
Interchange and ZIPPR Code
- Endpiece
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Monograph
Six 162
pp. (Original document prepared by
the authors using word processing software.)
Pierre Hanjoul, Hubert Beguin,
and Jean-Claude Thill, 1988.
Theoretical Market Areas
Under Euclidean Distance.
- Abstract
-- Acknowledgments
- Table of
Contents
- 1.
Introduction
- 2.
Modelling consumers' behaviour
- 3.
Delimitation of the problem and definitions
- 4.
Elementary properties of market areas
- 5.
Variation of the transportation cost difference
along specific curves
- 6.
Remarkable bounds and asymptotic behaviour:
spatial extension
- 7.
Variation of y with x along the indifference line
- 8.
The standpoint of mathematical topology:
spatial structure
- 9.
Properties of the measures of Zk and of the extra
territory of centre j
- 10.
Dependence of the market areas on the exponent a
when h = .^a
- 11. Some
limiting properties of market areas
- 12.
Relaxation of the assumptions about the
transportation cost function h
- 13.
Descartes' ovals
- Conclusion
- References
- Appendices
- List of
main symbols
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Monograph
Seven 115 pp. (Origiinal
document
prepared by the editor using word processing software.)
Keith J. Tinkler, Editor,
1988. With contributions by Keith J. Tinkler, John
D. Nystuen, and Michael F. Dacey.
Nystuen--Dacey Nodal
Analysis.
- Acknowledgments
- "Foreward"
(Nystuen)
- Table of
Contents
- Preface
(Tinkler)
- Statistics
for Nystuen Dacey Nodal Analysis (Tinkler)
- Appendix
A (Tinkler)
- Appendix
B (Tinkler)
- Appendix
C (Nystuen and Dacey)
- Appendix
D (Nystuen and Dacey)
- Appendix
E (Nystuen and Dacey)
- Appendix
F (Tinkler)
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Monograph
Eight 85 pp. (Original
document prepared by the author using word processing
software.)
James W. Fonseca, 1989.
The Urban Rank-size
Hierarchy: A Mathematical Interpretation.
- Introduction
- The Spiral Constant
- Other Derivations of the Ratio of the
Spiral Constant
- Generating Rank-Size by the Spiral
Constant
- The Slope of the Rank-Size Distribution
- The Spiral Constant and Concavity of
Rank-Size Distributions
- The Spiral Constant and the Primate City
- Traditional Rank-Size Relationships
- Rank-Size Central Place Theory
- Directions for Further Research
- Bibliography
- About the Author
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Monograph
Nine 84 pp. (original
document prepared by the author using Plain TeX)
Sandra L. Arlinghaus, 1989.
An Atlas of Steiner
Networks.
- Front
Matter
- Introduction
- Networks
of Minimal Total Length in the Triangle
- Networks
of Minimal Total Length, in General
- Geometric
Constructions: the Six Point Case
- Enumeration
of Candidate Steiner Networks
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Monograph
Ten 103
pp. (original document prepared by the
author using word processing software)
Daniel A. Griffith, 1989.
Simulating K=3
Christaller Central Place Structures: An Algorithm
Using A Constant Elasticity of Substitution
Consumption Function.
- Front
Matter
- Preface
- Table of
Contents
- Chapter
1.0. Introduction
- Chapter
2.0. Background
- Chapter
3.0. Mathematical and numerical solutions to
components of the K = 3 central place structure
problem
- Chapter
4.0. A multinomial logit classification model
for determining hierarchical levels for commodities
- Chapter
5.0. Results for contrived test data sets
- Chapter
6.0. About the algorithm
- Chapter
7.0. Conclusing comments
- Chapter
8.0. Bibliography
- Appendix
A: BASIC computer code for IBM-Compatible PCs
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Monograph
Eleven 104 pp. (original
document prepared by the authors using Plain TeX)
Sandra L. Arlinghaus and John
D. Nystuen, 1990.
Environmental Effects on
Bus Durability.
- Front
Matter
- Chapter
1: Climatic Effects
- Chapter
2: Terrain Effects
- Chapter
3: Congestion Effects
- Chapter
4: Combined Effects
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Monograph
Twelve 398 pp. (Original
document prepared by IMaGe using TeX.)
Daniel A. Griffith, Editor,
1990.
Spatial Statistics: Past,
Present, and Future
(because the
file for the entire book is large, over 147MB, pdfs for
individual chapters are also given)
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Monograph
Thirteen (original document
prepared by the editor using Plain TeX)
Sandra L. Arlinghaus, Editor,
1990.
Solstice: An
Electronic Journal of Geography and Mathematics,
Volume I.
- Front
matter for entire volume
- Front
matter for Volume I, Number 1, Summer, 1990
- Postulates
of the Science of Space (reprint), W. K. Clifford
- Beyond
the fractal, S. L. Arlinghaus
- Groups,
graphs, and God, W. C. Arlinghaus
- Regular
features
- Front
matter for Volume I, Number 2, Winter, 1990
- A city of
strangers: spatial aspects of alienation in
the Detroit metropolitan area (reprint), J. D.
Nystuen
- Scale and
dimension: their logical harmony, S. L.
Arlinghaus.
- Parallels
between parallels, S. L. Arlinghaus
- The
Hedetniemi matrix sum: a real-world
application, S. L. Arlinghaus, W. C. Arlinghaus, J.
D. Nystuen
- Fractal
geometry of infinite pixel sequences:
"Super-definition" resolution? S. L.
Arlinghaus
- Regular
Features
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Monograph
Fourteen 52
pp. (original document prepared by the
author using Plain TeX)
Sandra L. Arlinghaus, 1991.
Essays on Mathematical
Geography--III.
- Cover
- Dedication
- Copyright
statement
- Preface
- Table of
Contents
- Table for
Central Place Fractals
- Tiling
According to the "Administrative" Principle
- Moire
Maps
- Triangle
Partitioning
- An
Enumeration of Candidate Steiner Networks
- A
Topological Generation Gap
- Synthetic
Centers of Gravity: Conjecture
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Monograph
Fifteen (original document
prepared by the editor using Plain TeX)
Sandra L. Arlinghaus, Editor,
1991.
Solstice: An
Electronic Journal of Geography and Mathematics, Volume II.
- Front
Matter, Number 1, Volume II.
- The
Spatial Shadow: Light and Dark---Whole and
Part. S. Arlinghaus, D. Barr, J. Nystuen.
- Construction
Zone:
Logistic Curve. S. Arlinghaus.
- Construction
Zone:
Spatial Theory lectures. S. Arlinghaus.
- End
Matter, Number 1, Volume II.
- Front
Matter, Number 2, Volume II.
- Reprint:
Proof,
Truth, and Confusion. S. Mac Lane.
- Digital
Maps and Data Bases: Aesthetics versus
Accuracy. R. F. Austin
- End
Matter, Number 2, Volume II.
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Monograph
Sixteen (original document
prepared by the editor using Plain TeX)
Sandra L. Arlinghaus, Editor,
1992.
Solstice: An
Electronic Journal of Geography and Mathematics,.
Volume III.
- Front
Matter, Number 1, Volume III.
- Computing
Areas of Regions with Discretely Defined
Boundaries. H. L. Stern
- The
Quadratic World of Kinematic Waves. S.
Arlinghaus, J. Nystuen, M. Woldenberg.
- End
Matter, Number 1, Volume III.
- Front
Matter, Number 2, Volume III.
- Reprint:
What
Are Mathematical Models and What Should They
Be? Frank Harary
- Reprint:
Where
Are We? Comments on the Concept of the "Center
of Population". Frank Barmore.
- The Pelt
of the Earth: An Essay on Reactive
Diffusion. S. Arlinghaus, J. Nystuen.
- End
Matter, Number 2, Volume III.
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Monograph
Seventeen (original document
prepared by the editor using Plain TeX)
Sandra L. Arlinghaus, Editor,
1993.
Solstice: An
Electronic Journal of Geography and Mathematics,.
Volume IV.
- Front
Matter, Number 1, Volume IV.
- Electronic
Journals:
Observations Based on Actual Trials,
1987-Present. S. Arlinghaus and R. Zander
- Wilderness
As Place. J. Nystuen
- Reprint:
The
Earth Isn't Flat. And It Isn't Round
Either: Some Significant and Little Known
Effects of the Earth's Ellipsoidal Shape. F.
Barmore.
- Microcell
Hexnets? S. Arlinghaus
- Sum
Graphs and Geographic Information. S.
Arlinghaus, W. Arlinghaus, F. Harary.
- End
Matter, Number 1, Volume IV.
- Front
Matter, Number 2, Volume IV.
- Villages
in Transition: Elevated Risk of Micronutrient
deficiency. W. Drake, S. Pak, I. Tarwotjo,
Muhilal, J. Gorstein, R. Tilden
- End
Matter, Number 2, Volume IV.
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Monograph
Eighteen 109 pp. (Original
document prepared by the author using word processing
software.)
David J. Gordon. 1995.
The Cause of Location of
Roads in Maryland: A Study in Cartographic Logic.
- Chapter
1: Introduction to the Cause of Location of
Roads
- Chapter
2: Developing the Hypothesis of Ridge Roads
- Chapter
3: Constructing a Model of Ridge Roads
- Chapter
4: Central Maryland: a Case Study
- Chapter
5: Generalizing the Results
- References
Cited
- Appendix
A Glossary
- Appendix
B Constructing the Contour Map of Travel Cost
Added link
to folder containing figures. |
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Monograph
Nineteen (original document
prepared by the editor using Plain TeX)
Sandra L. Arlinghaus, Editor,
1994.
Solstice: An
Electronic Journal of Geography and Mathematics,.
Volume V.
- Front
Matter, Number 1, Volume V.
- Reprint:
Getting
Infrastructure Built, Virginia Ainslie and Jack
Licate.
- Reprint:
Center
Here; Center There; Center, Center Everywhere, Frank
Barmore.
- Equal-Area
Venn
Diagrams of Two Circles: Their Use with
Real-World Data, B. Burkhalter
- Los
Angeles, 1994--A Spatial Scientific Study
- End
Matter, Number 1, Volume V.
- Front
Matter, Number 2, Volume V.
- The Paris
Metro: Is its Graph Planar? S.
Arlinghaus, W. Arlinghaus, F. Harary.
- Interruption!
S.
Arlinghaus
- Reprint:
Imperfections
in
the Uniform Plane, M. Dacey.
- Construction
Zone:
The Braikenridge-MacLaurin Construction
- End
Matter, Number 2, Volume V.
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Monograph
Twenty
Sandra L. Arlinghaus, Editor,
1995.
Solstice: An
Electronic Journal of Geography and Mathematics,
Volume VI.
- Chapter
0: Front Matter
- Chapter
1: Fifth Anniversary of Solstice
- Chapter
2: New Format for Solstice
- Chapter
3: "Motor Vehicle Transport and Global Climate
Change: Policy Scenarios," R. Wallace
- Chapter
4: "Discrete Mathematics and Counting
Derangements in Blind Wine Tastings," J.
Nystuen, S. Arlinghaus, W. Arlinghaus
- Chapter
5: Index
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Monograph
Twenty
One
Sandra L. Arlinghaus, Editor,
1996.
Solstice: An
Electronic Journal of Geography and Mathematics,
Volume VII.
- Chapter
0: Front Matter
- Chapter
1: "The Greening of Detroit, 1975-1992:
Physical Effects of Decline," J. Nystuen, R. Ryznar,
T. Wagner
- Chapter
2: "Algebraic Aspects of Ratios," S.
Arlinghaus
- Chapter
3: "U.S. Route 12 Buffer," D. Jacobs
- Chapter
4: "Web Fractals," S. Arlinghaus
- Chapter
5: "Part II. Elements of Spatial
Planning: Theory. Merging Maps:
Node Labeling Strategies," S. Arlinghaus
- Chapter
6: Index
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Monograph
Twenty
Two
Sandra L. Arlinghaus, Editor,
1997
Solstice: An
Electronic Journal of Geography and Mathematics,
Volume VIII.
- Front
Matter
- "Why
Whales Don't Freeze or Kidney-Shaped Airports:
Spatial Analysis and Spatial Design." John D.
Nystuen
- "To the
Memory of Clyde Tombaugh, 1906-1997." Frank
Harary
- "The
Photographic Record. SunSweep: A Visit
on the Summer Solstice." John D. Nystuen
- "Buffers
and Duality." Sandra L. Arlinghaus, Frederick
L. Goodman, Daniel A. Jacobs
- "A Graph
Theoretic View of the Join-Count Statistic."
Sandra L. Arlinghaus and William C. Arlinghaus
- "Differences
in
Feature Representation in Digital Map Bases."
John D. Nystuen and Andrea I. Frank
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Monograph
Twenty
Three
Sandra L. Arlinghaus, Editor,
1998
Solstice: An
Electronic Journal of Geography and Mathematics,
Volume IX.
SEE ASSOCIATED ARTICLES
IN SOLSTICE TO VIEW ANIMATION...
- Front
Matter
- "Animaps."
Sandra
L. Arlinghaus, William D. Drake, and John D. Nystuen
with Audra Laug, Kris S. Oswalt, and Diana Sammataro
- "Spatial
Analysis, the Wisconsin Idea and the
UW-System: The Use and Abuse of Dispersion
Statistics." Frank E. Barmore
- "Revitalizing
Maps
or Images?" Sandra L. Arlinghaus and Ruben De
la Sierra
- Book
Review by John D. Nystuen: The Universe
Below by William J. Broad.
- "Animated
Four Color Theorem: Sample Map." Sandra
Lach Arlinghaus
- "Animaps,
II." Sandra Lach Arlinghaus
- Book
Review by Daniel Albert: Rising Tide: The
Great Mississippi Flood of 1927 and How it Changed
America by John M. Barry
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24
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Monograph Twenty
Four
William Charles
Arlinghaus, 2020.
Calculus 2 Workshops
- Series 1
- Series 2
- Series 3
- Series 4
- Series 5
- Series 6
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Monograph
Twenty Five
Sandra Lach Arlinghaus, William Charles Arlinghaus,
William Edward Arlinghaus, 2020
Pre-collegiate Education in Utopia
- Introduction
- Ladder
Curricular Structures
- Ladder
Boosts and Extensions
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