Zeitschriften und Ausgaben

Volumen 9 (2022): Heft 16 (June 2022)

Volumen 8 (2021): Heft 15 (November 2021)

Volumen 8 (2021): Heft 14 (October 2021)

Volumen 7 (2020): Heft 13 (November 2020)

Volumen 6 (2019): Heft 12 (December 2019)

Volumen 6 (2019): Heft 11 (September 2019)

Volumen 5 (2018): Heft 10 (December 2018)

Volumen 5 (2018): Heft 9 (September 2018)

Volumen 4 (2017): Heft 8 (December 2017)

Volumen 4 (2017): Heft 7 (May 2017)

Volumen 3 (2016): Heft 6 (December 2016)

Volumen 3 (2016): Heft 5 (March 2016)

Zeitschriftendaten
Format
Zeitschrift
eISSN
2182-1976
Erstveröffentlichung
16 Apr 2016
Erscheinungsweise
2 Hefte pro Jahr
Sprachen
Englisch

Suche

Volumen 6 (2019): Heft 11 (September 2019)

Zeitschriftendaten
Format
Zeitschrift
eISSN
2182-1976
Erstveröffentlichung
16 Apr 2016
Erscheinungsweise
2 Hefte pro Jahr
Sprachen
Englisch

Suche

4 Artikel
Open Access

The 5-Way Scale

Online veröffentlicht: 11 Oct 2019
Seitenbereich: 5 - 14

Zusammenfassung

Abstract

In this paper, we discuss coin-weighing problems that use a 5-way scale which has five different possible outcomes: MUCH LESS, LESS, EQUAL, MORE, and MUCH MORE. The 5-way scale provides more information than the regular 3-way scale. We study the problem of finding two fake coins from a pile of identically looking coins in a minimal number of weighings using a 5-way scale. We discuss similarities and differences between the 5-way and 3-way scale. We introduce a strategy for a 5-way scale that can find both counterfeit coins among 2k coins in k + 1 weighings, which is better than any strategy for a 3-way scale.

Schlüsselwörter

  • coin weighings
Open Access

Exploring mod 2 n-queens games

Online veröffentlicht: 11 Oct 2019
Seitenbereich: 15 - 25

Zusammenfassung

Abstract

We introduce a two player game on an n × n chessboard where queens are placed by alternating turns on a chessboard square whose availability is determined by the parity of the number of queens already on the board which can attack that square. The game is explored as well as its variations and complexity.

Schlüsselwörter

  • Chess
  • independence
  • -queens
Open Access

New Year Mathematical Card or V Points Mathematical Constant

Online veröffentlicht: 11 Oct 2019
Seitenbereich: 27 - 33

Zusammenfassung

Abstract

The article describes an attempt to define a new mathematical constant - the probability of obtaining a hyperbola or an ellipse when throwing five random points on a plane.

Schlüsselwörter

  • second-order plane curve
  • hyperbola
  • ellipse
  • Mathcad
  • pseudo-random number
Open Access

Xor-Magic Graphs

Online veröffentlicht: 11 Oct 2019
Seitenbereich: 35 - 44

Zusammenfassung

Abstract

A connected graph on 2n vertices is defined to be xor-magic if the vertices can be labeled with distinct n-bit binary numbers in such a way that the label at each vertex is equal to the bitwise xor of the labels on the adjacent vertices. We show that there is at least one 3-regular xor-magic graph on 2n vertices for every n ⩾ 2. We classify the 3-regular xor-magic graphs on 8 and 16 vertices, and give multiple examples of 3-regular xor-magic graphs on 32 vertices, including the well-known Dyck graph.

Schlüsselwörter

  • cubic graph
  • regular graph
  • graph theory
  • combinatorics
  • linear algebra
  • binary
  • xor
4 Artikel
Open Access

The 5-Way Scale

Online veröffentlicht: 11 Oct 2019
Seitenbereich: 5 - 14

Zusammenfassung

Abstract

In this paper, we discuss coin-weighing problems that use a 5-way scale which has five different possible outcomes: MUCH LESS, LESS, EQUAL, MORE, and MUCH MORE. The 5-way scale provides more information than the regular 3-way scale. We study the problem of finding two fake coins from a pile of identically looking coins in a minimal number of weighings using a 5-way scale. We discuss similarities and differences between the 5-way and 3-way scale. We introduce a strategy for a 5-way scale that can find both counterfeit coins among 2k coins in k + 1 weighings, which is better than any strategy for a 3-way scale.

Schlüsselwörter

  • coin weighings
Open Access

Exploring mod 2 n-queens games

Online veröffentlicht: 11 Oct 2019
Seitenbereich: 15 - 25

Zusammenfassung

Abstract

We introduce a two player game on an n × n chessboard where queens are placed by alternating turns on a chessboard square whose availability is determined by the parity of the number of queens already on the board which can attack that square. The game is explored as well as its variations and complexity.

Schlüsselwörter

  • Chess
  • independence
  • -queens
Open Access

New Year Mathematical Card or V Points Mathematical Constant

Online veröffentlicht: 11 Oct 2019
Seitenbereich: 27 - 33

Zusammenfassung

Abstract

The article describes an attempt to define a new mathematical constant - the probability of obtaining a hyperbola or an ellipse when throwing five random points on a plane.

Schlüsselwörter

  • second-order plane curve
  • hyperbola
  • ellipse
  • Mathcad
  • pseudo-random number
Open Access

Xor-Magic Graphs

Online veröffentlicht: 11 Oct 2019
Seitenbereich: 35 - 44

Zusammenfassung

Abstract

A connected graph on 2n vertices is defined to be xor-magic if the vertices can be labeled with distinct n-bit binary numbers in such a way that the label at each vertex is equal to the bitwise xor of the labels on the adjacent vertices. We show that there is at least one 3-regular xor-magic graph on 2n vertices for every n ⩾ 2. We classify the 3-regular xor-magic graphs on 8 and 16 vertices, and give multiple examples of 3-regular xor-magic graphs on 32 vertices, including the well-known Dyck graph.

Schlüsselwörter

  • cubic graph
  • regular graph
  • graph theory
  • combinatorics
  • linear algebra
  • binary
  • xor

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