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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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