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On two conjectures in the fixed membrane eigenvalue problem

✍ Scribed by Lawrence E. Payne


Publisher
Springer
Year
1973
Tongue
English
Weight
404 KB
Volume
24
Category
Article
ISSN
0044-2275

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πŸ“œ SIMILAR VOLUMES


Two conjectures on the arithmetic in ℝ a
✍ Apoloniusz Tyszka πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 163 KB

We discuss two conjectures. (1) If a system S βŠ† En is consistent over R (C), then S has a real (complex) solution which consists of numbers whose absolute values belong to [0, 2 2 n-2 ]. (2) If a system S βŠ† Wn is consistent over G, then S has a solution (x1, . . . , xn) ∈ (G ∩ Q) n in which |xj| ≀