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1

A Discrete Form of the Beckman-Quarles Theorem

Apoloniusz Tyszka

Journal:

American Mathematical Monthly

Year:

1997

Language:

english

File:

PDF, 156 KB

english, 1997

2

A Discrete Form of the Beckman-Quarles Theorem

Tyszka, Apoloniusz

Journal:

American Mathematical Monthly

Year:

1997

Language:

english

File:

PDF, 367 KB

english, 1997

3

Beckman-Quarles type theorems for mappings from( mathbb{R}^n )to( mathbb{C}^n )

Apoloniusz Tyszka

Journal:

Aequationes Mathematicae

Year:

2004

Language:

english

File:

PDF, 304 KB

english, 2004

4

The Beckman–Quarles theorem for continuous mappings from({{mathbb{C}}}^{n})to({{mathbb{C}}}^{n})

Apoloniusz Tyszka

Journal:

Aequationes Mathematicae

Year:

2006

Language:

english

File:

PDF, 152 KB

english, 2006

5

A discrete form of the Beckman-Quarles theorem for mappings from({mathbb{R}}^{{ ext{2}}} {left( {{mathbb{C}}^{{ ext{2}}} } ight)})to({mathbb{F}}^{{ ext{2}}},)where({mathbb{F}})is a subfield of a commutative field extending({mathbb{R}}({mathbb{C}}))

Apoloniusz Tyszka

Journal:

Journal of Geometry

Year:

2006

Language:

english

File:

PDF, 117 KB

english, 2006

6

Conjecturally computable functions which unconditionally do not have any finite-fold Diophantine representation

Tyszka, Apoloniusz

Journal:

Information Processing Letters

Year:

2013

Language:

english

File:

PDF, 193 KB

english, 2013

7

Annals of Computer Science and Information Systems [IEEE 2017 Federated Conference on Computer Science and Information Systems - (2017.9.3-2017.9.6)] Proceedings of the 2017 Federated Conference on Computer Science and Information Systems - Is there a computable upper bound on the heights of rational solutions of a Diophantine equation with a finite number of solutions?

Molenda, Krzysztof, Peszek, Agnieszka, Sporysz, Maciej, Tyszka, Apoloniusz

Year:

2017

Language:

english

File:

PDF, 170 KB

english, 2017

8

Is there a computable upper bound for the height of a solution of a Diophantine equation with a unique solution in positive integers?

Tyszka, Apoloniusz

Journal:

Open Computer Science

Year:

2017

Language:

english

File:

PDF, 459 KB

english, 2017

9

A hypothetical upper bound on the heights of the solutions of a Diophantine equation with a finite number of solutions

Tyszka, Apoloniusz

Journal:

Open Computer Science

Language:

english

File:

PDF, 580 KB

english

10

Two conjectures on the arithmetic in ℝ and ℂ

Apoloniusz Tyszka

Journal:

Mathematical Logic Quarterly

Year:

2010

Language:

english

File:

PDF, 163 KB

english, 2010

11

A stronger form of the theorem on the existence of a rigid binary relation on any set

Apoloniusz Tyszka

Journal:

Aequationes Mathematicae

Year:

2003

Language:

english

File:

PDF, 126 KB

english, 2003

12

A discrete form of the theorem that each field endomorphism of( mathbb{R}{left( {mathbb{Q}_{{ ext{p}}} } ight)} )is the identity

Apoloniusz Tyszka

Journal:

Aequationes Mathematicae

Year:

2006

Language:

english

File:

PDF, 160 KB

english, 2006