Magazine et Edition

AHEAD OF PRINT

Volume 41 (2022): Edition 2 (June 2022)

Volume 41 (2022): Edition 1 (March 2022)

Volume 40 (2021): Edition 4 (December 2021)

Volume 40 (2021): Edition 3 (September 2021)

Volume 40 (2021): Edition 2 (June 2021)

Volume 40 (2021): Edition 1 (March 2021)

Volume 39 (2020): Edition 4 (December 2020)

Volume 39 (2020): Edition 3 (September 2020)

Volume 39 (2020): Edition 2 (June 2020)

Volume 39 (2020): Edition 1 (March 2020)

Volume 38 (2019): Edition 4 (December 2019)

Volume 38 (2019): Edition 3 (September 2019)

Volume 38 (2019): Edition 2 (June 2019)

Volume 38 (2019): Edition 1 (March 2019)

Volume 37 (2018): Edition 4 (December 2018)

Volume 37 (2018): Edition 3 (September 2018)

Volume 37 (2018): Edition 2 (June 2018)

Volume 37 (2018): Edition 1 (March 2018)

Volume 36 (2017): Edition 4 (December 2017)

Volume 36 (2017): Edition 3 (September 2017)

Volume 36 (2017): Edition 2 (June 2017)

Volume 36 (2017): Edition 1 (March 2017)

Volume 35 (2016): Edition 4 (December 2016)

Volume 35 (2016): Edition 3 (September 2016)

Volume 35 (2016): Edition 2 (June 2016)

Volume 35 (2016): Edition 1 (March 2016)

Volume 34 (2015): Edition 4 (December 2015)

Volume 34 (2015): Edition 3 (September 2015)

Volume 34 (2015): Edition 2 (June 2015)

Volume 34 (2015): Edition 1 (March 2015)

Volume 33 (2014): Edition 4 (December 2014)

Volume 33 (2014): Edition 3 (September 2014)

Volume 33 (2014): Edition 2 (June 2014)

Volume 33 (2014): Edition 1 (March 2014)

Volume 32 (2013): Edition 4 (December 2013)

Volume 32 (2013): Edition 3 (September 2013)

Volume 32 (2013): Edition 2 (June 2013)

Volume 32 (2013): Edition 1 (March 2013)

Volume 31 (2012): Edition 4 (December 2012)

Volume 31 (2012): Edition 3 (October 2012)

Volume 31 (2012): Edition 2 (June 2012)

Volume 31 (2012): Edition 1 (March 2012)

Volume 30 (2011): Edition 4 (December 2011)

Volume 30 (2011): Edition 3 (September 2011)

Volume 30 (2011): Edition 2 (June 2011)

Volume 30 (2011): Edition 1 (March 2011)

Volume 29 (2010): Edition 4 (December 2010)

Volume 29 (2010): Edition 3 (September 2010)

Volume 29 (2010): Edition 2 (June 2010)

Volume 29 (2010): Edition 1 (March 2010)

Détails du magazine
Format
Magazine
eISSN
2081-6383
Première publication
01 Jun 1974
Période de publication
4 fois par an
Langues
Anglais

Chercher

Volume 34 (2015): Edition 4 (December 2015)

Détails du magazine
Format
Magazine
eISSN
2081-6383
Première publication
01 Jun 1974
Période de publication
4 fois par an
Langues
Anglais

Chercher

9 Articles
access type Accès libre

Introduction

Publié en ligne: 30 Dec 2015
Pages: 5 - 6

Résumé

access type Accès libre

Cloud-Capped Towers: Capturing Terrain Characteristics Using Topographic Functionals

Publié en ligne: 30 Dec 2015
Pages: 7 - 23

Résumé

Abstract

We introduce three related mathematical measures of terrain based on a particularly elegant combination of relief and steepness, which we term omnidirectional relief and steepness (ORS). One measure, reduced ORS (RORS), is particularly suited to creating lists of notable features, and another, domain relief and steepness (DRS), measures the ruggedness of a region.

Mots clés

  • topography
  • orography
  • hypsometry
  • landforms
  • mathematical measures of terrain
access type Accès libre

Methodological Triangulation In Movement Pattern Research

Publié en ligne: 30 Dec 2015
Pages: 25 - 37

Résumé

Abstract

The application of GIS and GPS methods together with qualitative sociological methods is one of the current fields of discussion in studies of human behaviour in space. The authors ask about the justification, manner and value of using the ‘triad’: quantitative GIS measurement methods – qualitative sociological methods – quasi-experiment. A mixed-method approach in an analysis of human movement patterns is introduced. Also, the role of the investigator in such projects is discussed.

Mots clés

  • methodological triangulation
  • movement pattern research
  • qualitative sociological methods
  • behavioural experiment
  • role of researcher
access type Accès libre

On The Eigenvalue Distribution Of Adjacency Matrices For Connected Planar Graphs

Publié en ligne: 30 Dec 2015
Pages: 39 - 60

Résumé

Abstract

This paper describes the previously unknown statistical distribution of adjacency matrix spectra for planar graphs, also known as spatial weights matrices, in terms of the following three readily available eigenvalue properties: extremes, rank orderings, and sums of powers. This distribution is governed by at most six parameters that, once known, allow accurate approximations of eigenvalues to be computed without resorting to numerical matrix methods applied on a case-by-case basis. Parameter estimates for illustrative real-world examples are obtained using nonlinear least squares regression techniques. Three conjectures are proposed, and graphical and trend results are reported for a diverse set of planar graph-based matrices.

Mots clés

  • adjacency matrix
  • connected graph
  • eigenvalue distribution
  • planar graph
  • serial structure
access type Accès libre

Category Theory In Geography?

Publié en ligne: 30 Dec 2015
Pages: 61 - 68

Résumé

Abstract

Is mathematical category theory a unifying tool for geography? Here we look at a few basic category theoretical ideas and interpret them in geographic example. We also offer links to indicate how category theory has been used as such in other disciplines. Finally, we announce the direction of our research program on this topic as a way to facilitate the learning, and maintenance of learning, of GIS software – and in the spirit of Quaestiones Geographicae, invite debate, comment, and contribution to this program in spatial mathematics.

Mots clés

  • category theory
  • mathematics
  • geography
  • Geographic Information Systems
  • web mapping
  • commutative diagrams
access type Accès libre

Entropy In Regional Analysis

Publié en ligne: 30 Dec 2015
Pages: 69 - 78

Résumé

Abstract

Entropy has been proposed as a significant tool for an analysis of spatial differences. Using Semple and Gauthier’s (1972) transformation of the Shannon entropy statistic into an entropy measure of inequality and their algorithm, an estimation is made of changes in regional inequality in Poland over the years 2005–2012. The inequality is decomposed into total, inter- and intra-regional types, and an analysis is made of relations holding between them.

Mots clés

  • entropy measure of inequality
  • decomposition of regional inequalities
  • changes in regional inequality pattern
  • Poland
access type Accès libre

Mathematics: What’s Spatial, What’s Not

Publié en ligne: 30 Dec 2015
Pages: 79 - 81

Résumé

Abstract

Probably, almost everyone has some idea of what is meant by the words ‘spatial mathematics.’ The problem is that 100 people have 100 different ideas, because the concept is not easy to codify. In this paper we suggest a few ways to illustrate differences between ‘spatial’ and ‘non-spatial’ concepts, and ways to introduce spatial approaches where none was present before.

Mots clés

  • spatial
  • non-spatial
  • mathematics
  • Latin square
access type Accès libre

From Cantor To Christaller?

Publié en ligne: 30 Dec 2015
Pages: 83 - 84

Résumé

Abstract

It is possible that Georg Cantor and Walter Christaller may have been aware of one another during their careers, however, there is no indication the two collaborated. Also, there is no documentation that Christaller’s central place theory (CPT) contains any tenets derived from Cantor’s middle third set (CMT). Regardless, CMT and CPT are linked by their constructions as nested hierarchies and the geometry of hexagons. The end points and intervals of CMT may be incorporated, respectively, as anchor points and radii for the hexagonal tessellations of central place theory.

Mots clés

  • fractal
  • urban model
  • Cantor set
  • central place theory
access type Accès libre

The Curious Case Of 2½ D

Publié en ligne: 30 Dec 2015
Pages: 85 - 89

Résumé

Abstract

Some geographical phenomena are continuous and exist in whole number dimensions. Topography, for example. Other phenomena, such as population density, depend heavily on the area used in their computation. Some refer to this as existing in 2½ dimensions. Is the difference just because it is a computed, rather than an observed quantity? I argue the case for considering treatment of discrete geographic data as continuous.

Mots clés

  • continuous
  • discrete
  • fractal
9 Articles
access type Accès libre

Introduction

Publié en ligne: 30 Dec 2015
Pages: 5 - 6

Résumé

access type Accès libre

Cloud-Capped Towers: Capturing Terrain Characteristics Using Topographic Functionals

Publié en ligne: 30 Dec 2015
Pages: 7 - 23

Résumé

Abstract

We introduce three related mathematical measures of terrain based on a particularly elegant combination of relief and steepness, which we term omnidirectional relief and steepness (ORS). One measure, reduced ORS (RORS), is particularly suited to creating lists of notable features, and another, domain relief and steepness (DRS), measures the ruggedness of a region.

Mots clés

  • topography
  • orography
  • hypsometry
  • landforms
  • mathematical measures of terrain
access type Accès libre

Methodological Triangulation In Movement Pattern Research

Publié en ligne: 30 Dec 2015
Pages: 25 - 37

Résumé

Abstract

The application of GIS and GPS methods together with qualitative sociological methods is one of the current fields of discussion in studies of human behaviour in space. The authors ask about the justification, manner and value of using the ‘triad’: quantitative GIS measurement methods – qualitative sociological methods – quasi-experiment. A mixed-method approach in an analysis of human movement patterns is introduced. Also, the role of the investigator in such projects is discussed.

Mots clés

  • methodological triangulation
  • movement pattern research
  • qualitative sociological methods
  • behavioural experiment
  • role of researcher
access type Accès libre

On The Eigenvalue Distribution Of Adjacency Matrices For Connected Planar Graphs

Publié en ligne: 30 Dec 2015
Pages: 39 - 60

Résumé

Abstract

This paper describes the previously unknown statistical distribution of adjacency matrix spectra for planar graphs, also known as spatial weights matrices, in terms of the following three readily available eigenvalue properties: extremes, rank orderings, and sums of powers. This distribution is governed by at most six parameters that, once known, allow accurate approximations of eigenvalues to be computed without resorting to numerical matrix methods applied on a case-by-case basis. Parameter estimates for illustrative real-world examples are obtained using nonlinear least squares regression techniques. Three conjectures are proposed, and graphical and trend results are reported for a diverse set of planar graph-based matrices.

Mots clés

  • adjacency matrix
  • connected graph
  • eigenvalue distribution
  • planar graph
  • serial structure
access type Accès libre

Category Theory In Geography?

Publié en ligne: 30 Dec 2015
Pages: 61 - 68

Résumé

Abstract

Is mathematical category theory a unifying tool for geography? Here we look at a few basic category theoretical ideas and interpret them in geographic example. We also offer links to indicate how category theory has been used as such in other disciplines. Finally, we announce the direction of our research program on this topic as a way to facilitate the learning, and maintenance of learning, of GIS software – and in the spirit of Quaestiones Geographicae, invite debate, comment, and contribution to this program in spatial mathematics.

Mots clés

  • category theory
  • mathematics
  • geography
  • Geographic Information Systems
  • web mapping
  • commutative diagrams
access type Accès libre

Entropy In Regional Analysis

Publié en ligne: 30 Dec 2015
Pages: 69 - 78

Résumé

Abstract

Entropy has been proposed as a significant tool for an analysis of spatial differences. Using Semple and Gauthier’s (1972) transformation of the Shannon entropy statistic into an entropy measure of inequality and their algorithm, an estimation is made of changes in regional inequality in Poland over the years 2005–2012. The inequality is decomposed into total, inter- and intra-regional types, and an analysis is made of relations holding between them.

Mots clés

  • entropy measure of inequality
  • decomposition of regional inequalities
  • changes in regional inequality pattern
  • Poland
access type Accès libre

Mathematics: What’s Spatial, What’s Not

Publié en ligne: 30 Dec 2015
Pages: 79 - 81

Résumé

Abstract

Probably, almost everyone has some idea of what is meant by the words ‘spatial mathematics.’ The problem is that 100 people have 100 different ideas, because the concept is not easy to codify. In this paper we suggest a few ways to illustrate differences between ‘spatial’ and ‘non-spatial’ concepts, and ways to introduce spatial approaches where none was present before.

Mots clés

  • spatial
  • non-spatial
  • mathematics
  • Latin square
access type Accès libre

From Cantor To Christaller?

Publié en ligne: 30 Dec 2015
Pages: 83 - 84

Résumé

Abstract

It is possible that Georg Cantor and Walter Christaller may have been aware of one another during their careers, however, there is no indication the two collaborated. Also, there is no documentation that Christaller’s central place theory (CPT) contains any tenets derived from Cantor’s middle third set (CMT). Regardless, CMT and CPT are linked by their constructions as nested hierarchies and the geometry of hexagons. The end points and intervals of CMT may be incorporated, respectively, as anchor points and radii for the hexagonal tessellations of central place theory.

Mots clés

  • fractal
  • urban model
  • Cantor set
  • central place theory
access type Accès libre

The Curious Case Of 2½ D

Publié en ligne: 30 Dec 2015
Pages: 85 - 89

Résumé

Abstract

Some geographical phenomena are continuous and exist in whole number dimensions. Topography, for example. Other phenomena, such as population density, depend heavily on the area used in their computation. Some refer to this as existing in 2½ dimensions. Is the difference just because it is a computed, rather than an observed quantity? I argue the case for considering treatment of discrete geographic data as continuous.

Mots clés

  • continuous
  • discrete
  • fractal

Planifiez votre conférence à distance avec Sciendo