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1

The geometry of Minkowski spaces — A survey. Part I

Horst Martini, Konrad J. Swanepoel, Gunter Weiß

Journal:

Expositiones Mathematicae

Year:

2001

Language:

english

File:

PDF, 2.60 MB

english, 2001

2

The Fermat–Torricelli Problem, Part I: A Discrete Gradient-Method Approach

Kupitz, Yaakov S., Martini, Horst, Spirova, Margarita

Journal:

Journal of Optimization Theory and Applications

Year:

2013

Language:

english

File:

PDF, 717 KB

english, 2013

3

The Computation of Derivatives of Trigonometric Functions via the Fundamental Theorem of Calculus

Horst Martini and Walter Wenzel

Journal:

College Mathematics Journal

Year:

2005

Language:

english

File:

PDF, 518 KB

english, 2005

4

On Lexell’s Theorem

Hiroshi Maehara,, Horst Martini,

Journal:

American Mathematical Monthly

Year:

2017

Language:

english

File:

PDF, 1.11 MB

english, 2017

5

Concurrency of the altitudes of a triangle

Mowaffaq Hajja, Horst Martini

Journal:

Mathematische Semesterberichte

Year:

2013

Language:

english

File:

PDF, 459 KB

english, 2013

6

Angle measures, general rotations, and roulettes in normed planes

Balestro, Vitor, Horváth, Ákos G., Martini, Horst

Journal:

Analysis and Mathematical Physics

Year:

2016

Language:

english

File:

PDF, 731 KB

english, 2016

7

86.06 Infinite Roots of the Quadratic Equation and Tangents to Conic Sections at Infinity

Yaakov S. Kupitz and Horst Martini

Journal:

The Mathematical Gazette

Year:

2002

Language:

english

File:

PDF, 176 KB

english, 2002

8

Regular Simplices in Spaces of Constant Curvature

Journal:

American Mathematical Monthly

Year:

1993

Language:

english

File:

PDF, 360 KB

english, 1993

9

The Fermat-Torricelli point and isosceles tetrahedra

Yaakov S. Kupitz, Horst Martini

Journal:

Journal of Geometry

Year:

1994

Language:

english

File:

PDF, 755 KB

english, 1994

10

On the Equations xy = yx

Yaakov S. Kupitz, Horst Martini

Journal:

Elemente der Mathematik

Year:

2000

Language:

english

File:

PDF, 149 KB

english, 2000

11

Concepts of curvatures in normed planes

Balestro, Vitor, Martini, Horst, Shonoda, Emad

Journal:

Expositiones Mathematicae

Year:

2018

Language:

english

File:

PDF, 458 KB

english, 2018

12

Differential geometry of immersed surfaces in three-dimensional normed spaces

Balestro, Vitor, Martini, Horst, Teixeira, Ralph

Journal:

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg

Year:

2020

File:

PDF, 3.22 MB

2020

13

A characterization of constant width in Minkowski planes

Gennadiy Averkov, Horst Martini

Journal:

Aequationes Mathematicae

Year:

2004

Language:

english

File:

PDF, 164 KB

english, 2004

14

Tangent segments and orthogonality types in normed planes

Horst Martini, Senlin Wu

Journal:

Journal of Geometry

Year:

2010

Language:

english

File:

PDF, 226 KB

english, 2010

15

Orthocentric Simplices and Biregularity

Allan L. Edmonds, Mowaffaq Hajja, Horst Martini

Journal:

Results in Mathematics

Year:

2008

Language:

english

File:

PDF, 340 KB

english, 2008

16

Geometry Where Direction Matters—Or Does It?

Horst Martini, Margarita Spirova, Konrad J. Swanepoel

Journal:

The Mathematical Intelligencer

Year:

2011

Language:

english

File:

PDF, 861 KB

english, 2011

17

Some applications of cross-section measures in Minkowski spaces

Horst Martini, Zokhrab Mustafaev

Journal:

Periodica Mathematica Hungarica

Year:

2006

Language:

english

File:

PDF, 168 KB

english, 2006

18

On Napoleon's theorem in the isotropic plane]{On Napoleon's theorem in the isotropic plane

Horst Martini, Margarita Spirova

Journal:

Periodica Mathematica Hungarica

Year:

2006

Language:

english

File:

PDF, 183 KB

english, 2006

19

On inner quermasses of convex bodies

Journal:

Archiv der Mathematik

Year:

1989

Language:

english

File:

PDF, 201 KB

english, 1989

20

A new view on some characterizations of simplices

Journal:

Archiv der Mathematik

Year:

1990

Language:

english

File:

PDF, 291 KB

english, 1990

21

Orthocentric Simplices as the True Generalizations of Triangles

Hajja, Mowaffaq, Martini, Horst

Journal:

The Mathematical Intelligencer

Year:

2013

Language:

english

File:

PDF, 973 KB

english, 2013

22

Orthocentric simplices and their centers

Edmonds, Allan L., Hajja, Mowaffaq, Martini, Horst

Journal:

Results in Mathematics

Year:

2005

Language:

english

File:

PDF, 5.38 MB

english, 2005

23

Mice deficient for the glycoprotein show subtle abnormalities in myelin

Montag, Dirk, Giese, Karl Peter, Bartsch, Udo, Martini, Rudolf, Lang, Yolande, Blüthmann, Horst, Karthigasan, Jeevajothie, Kirschner, Daniel A., Wintergerst, Eva S., Nave, Klaus-Armin

Journal:

Year:

1994

Language:

english

File:

PDF, 17.07 MB

english, 1994

24

Reduced Convex Bodies in Finite Dimensional Normed Spaces: A Survey

Lassak, Marek, Martini, Horst

Journal:

Results in Mathematics

Year:

2014

Language:

english

File:

PDF, 535 KB

english, 2014

25

On the Erdős-Mordell inequality for normed planes and spaces

Ghandehari, Mostafa, Martini, Horst

Journal:

Studia Scientiarum Mathematicarum Hungarica

Year:

2018

Language:

english

File:

PDF, 315 KB

english, 2018

26

Bipartite Sets of Spheres and Casey-Type Theorems

Maehara, Hiroshi, Martini, Horst

Journal:

Results in Mathematics

Year:

2019

Language:

english

File:

PDF, 1.21 MB

english, 2019

27

Bodies of Constant Width (An Introduction to Convex Geometry with Applications) || Basic Properties of Bodies of Constant Width

Martini, Horst, Montejano, Luis, Oliveros, Déborah

Year:

2019

Language:

english

File:

PDF, 470 KB

english, 2019

28

Bodies of Constant Width (An Introduction to Convex Geometry with Applications) || Examples and Constructions

Martini, Horst, Montejano, Luis, Oliveros, Déborah

Year:

2019

Language:

english

File:

PDF, 1.38 MB

english, 2019

29

Bodies of Constant Width (An Introduction to Convex Geometry with Applications) || Convex Geometry

Martini, Horst, Montejano, Luis, Oliveros, Déborah

Year:

2019

Language:

english

File:

PDF, 983 KB

english, 2019

30

Holding convex polyhedra by circular rings

Maehara, Hiroshi, Martini, Horst

Journal:

L'Enseignement Mathématique

Year:

2018

File:

PDF, 1.26 MB

2018

31

Some topics in differential geometry of normed spaces

Balestro, Vitor, Martini, Horst, Teixeira, Ralph

Journal:

Advances in Geometry

Year:

2020

Language:

english

File:

PDF, 601 KB

english, 2020

32

Curvature types of planar curves for gauges

Balestro, Vitor, Martini, Horst, Sakaki, Makoto

Journal:

Journal of Geometry

Year:

2020

File:

PDF, 295 KB

2020

33

On Holditchâs theorem

CieÅlak, Waldemar, Martini, Horst, Mozgawa, Witold

Journal:

Journal of Geometry

Year:

2020

File:

PDF, 490 KB

2020

34

Automated determination of glycated hemoglobin: Comparative evaluation of five assay systems

Dr. Andreas Tiran, Thomas Pieber, Beate Tiran, Gabriele Halwachs-Baumann, Harald Dobnig, Horst Grubelnig, Martini M. Wilders-Truschnig

Journal:

Journal of Clinical Laboratory Analysis

Year:

1994

Language:

english

File:

PDF, 604 KB

english, 1994

35

Covering and Packing Problems in Lattices Associated with then-Cube

Horst Martini, Walter Wenzel

Journal:

European Journal of Combinatorics

Year:

2002

Language:

english

File:

PDF, 145 KB

english, 2002

36

Shadow-boundaries of convex bodies

Journal:

Discrete Mathematics

Year:

1996

Language:

english

File:

PDF, 689 KB

english, 1996

37

Low-degree minimal spanning trees in normed spaces

Horst Martini, Konrad J. Swanepoel

Journal:

Applied Mathematics Letters

Year:

2006

Language:

english

File:

PDF, 139 KB

english, 2006

38

A Lipschitz condition for the width function of convex bodies in arbitrary Minkowski spaces

Horst Martini, Walter Wenzel

Journal:

Applied Mathematics Letters

Year:

2009

Language:

english

File:

PDF, 348 KB

english, 2009

39

A new construction of curves of constant width

Horst Martini, Zokhrab Mustafaev

Journal:

Computer Aided Geometric Design

Year:

2008

Language:

english

File:

PDF, 138 KB

english, 2008

40

Geometric dilation of closed curves in normed planes

Horst Martini, Senlin Wu

Journal:

Computational Geometry

Year:

2009

Language:

english

File:

PDF, 176 KB

english, 2009

41

Geometric graphs which are 1-skeletons of unstacked triangulated polygons

Yaakov S. Kupitz, Horst Martini

Journal:

Discrete Mathematics

Year:

2008

Language:

english

File:

PDF, 1.04 MB

english, 2008

42

On regular 4-coverings and their application for lattice coverings in normed planes

Horst Martini, Margarita Spirova

Journal:

Discrete Mathematics

Year:

2009

Language:

english

File:

PDF, 1.04 MB

english, 2009

43

Visibility in crowds of translates of a centrally symmetric convex body

Javier Alonso, Horst Martini, Margarita Spirova

Journal:

European Journal of Combinatorics

Year:

2010

Language:

english

File:

PDF, 790 KB

english, 2010

44

Reduced convex bodies in Euclidean space—A survey

Marek Lassak, Horst Martini

Journal:

Expositiones Mathematicae

Year:

2011

Language:

english

File:

PDF, 603 KB

english, 2011

45

Median hyperplanes in normed spaces — a survey

Horst Martini, Anita Schöbel

Journal:

Discrete Applied Mathematics

Year:

1998

Language:

english

File:

PDF, 973 KB

english, 1998

46

A new characterization of convex plates of constant width

Endre Makai, Horst Martini

Journal:

Geometriae Dedicata

Year:

1990

Language:

english

File:

PDF, 510 KB

english, 1990

47

Some characterizing properties of the simplex

Journal:

Geometriae Dedicata

Year:

1989

Language:

english

File:

PDF, 258 KB

english, 1989

48

Determining classes of convex bodies by restricted sets of Steiner symmetrizations

Journal:

Geometriae Dedicata

Year:

1989

Language:

english

File:

PDF, 333 KB

english, 1989

49

On the isoperimetric inequalities for Reuleaux polygons

Yaakov S. Kupitz, Horst Martini

Journal:

Journal of Geometry

Year:

2000

Language:

english

File:

PDF, 971 KB

english, 2000

50

Convex polytopes whose projection bodies and difference sets are polars

Journal:

Discrete & Computational Geometry

Year:

1991

Language:

english

File:

PDF, 468 KB

english, 1991