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Elemente der Mathematik

Elemente der Mathematik Volume 79 (2024)
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Issue 1 _
Front matter
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Table of Contents
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Article Integers expressible as sums of primes and composites
1
Article Bridges between three remarkable inequalities
8
Article Ein chinesisches Orakel und zyklische Matrizen über dem Körper F2
15
Article Three collinear triangle centres
25
Article A ring-theoretic approach to the double-sidedness of the matrix inverse
30
Article A geometric property of the Möbius transformation
34
Rubric Aufgaben
38
Back matter
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Issue 2 _
Front matter
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Table of Contents
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Article Regular spatial heptagons based on symmetry
45
Article An interesting theorem on circumscribed hexagon
57
Article On quasi-Heronian equable triangles
65
Article The circle as generator of Pythagorean triangles
71
Article Generalizing Lehmer's totient problem
77
Article The generalized Binet formula for k-bonacci numbers
80
Rubric Aufgaben
84
Back matter
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Issue 3 _
Front matter
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Table of Contents
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Article On squares circumscribing quadrangles
89
Article Geometrie der Zahlen
98
Article Equicevian points in a triangle
109
Article A note on rings in which each element is a sum of two idempotents
126
Article Vandermonde's identity proved by complex analysis
128
Rubric Aufgaben
131
Back matter
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Issue 4 _
Front matter
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Table of Contents
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Article A combinatorial approach for computing the determinants of the generalized Vandermonde matrices
137
Article Similarity of quadrilaterals as starting point for a geometric journey to orthocentric systems and conics
148
Article Construction of a quadrilateral from its vertex angles and the diagonal angle
159
Article A new refinement of the Garfunkel-Bankoff inequality
167
Article An improvement of the Weitzenböck inequality
171
Article A generalization of Boole's formula derived from a system of linear equations
173
Rubric Aufgaben
176
Back matter
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