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An arithmetic proof of John’s ellipsoid theorem

✍ Scribed by Peter M. Gruber; Franz E. Schuster

Book ID
105755344
Publisher
Springer
Year
2005
Tongue
English
Weight
114 KB
Volume
85
Category
Article
ISSN
0003-889X

No coin nor oath required. For personal study only.

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A quintessential proof of van der Waerde
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✍ George Mills 📂 Article 📅 1983 🏛 Elsevier Science 🌐 English ⚖ 362 KB

A particularly well suited induction hypothesis is employed to give a short and relatively direct formulation of van der Waerden's argument which establishes that for any partition of the natural numbers into two classes, one of the classes contains arbitrarily long arithmetic progressions.