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Elemente der Mathematik

Elemente der Mathematik Volume 78 (2023)
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Issue 1 _
Front matter
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Article Intriguing infinite words composed of zeros and ones
1
Article Dreiecke, Teildreiecke und Kreise
9
Article Is the spiral effect psychological?
21
Article Wolstenholme's theorem revisited
35
Article An inequality for the ratio of polynomials
37
Article Angle sum of polygons in space
41
Rubric Aufgaben
44
Back matter
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Issue 2 _
Front matter
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Article Cycles cross ratio : an invitation
49
Article Isogonal cevians and inequalities for quotients of cevians
62
Article Unit squares with unit line segments
68
Article Unlikely leading digits of powers of 2
77
Article The Garfunkel-Bankoff inequality and the Finsler-Hadwiger inequality
82
Rubric Aufgaben
85
Book review Rezensionen
90
Back matter
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Issue 3 _
Front matter
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Article Another extension of Lobachevsky's formula
93
Article Regression ellipses via hyperbolic geometry
101
Article Approximation of polynomials by Hermite interpolation
113
Article Isosceles tetrahedrons with integer edges and volume in the Z x Z x Z grid
123
Article A remark on an identity involving products of binomial coefficients
127
Article A simple proof of the Fundamental Theorem of Algebra
131
Book review Rezensionen
133
Rubric Aufgaben
135
Back matter
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Issue 4 _
Front matter
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Article Daniel Bernoulli's "immensly fertile equation" : notes on relations between a nonlinear and a linear second order equation
141
Article Die Infizierung des Z²
155
Article The equation x/y + y/z + z/x = 4 revisited
168
Article Hermite's identity and the quadratic reciprocity law
171
Article Two proofs of Bondy's theorem on induced subsets and two related questions
174
Book review Rezensionen
178
Rubric Aufgaben
180
Back matter
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