𝔖 Bobbio Scriptorium
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How to solve Blum's paradox

✍ Scribed by Dana K. Nelkin; Samuel C. Rickless


Book ID
108518887
Publisher
Oxford University Press
Year
2001
Tongue
English
Weight
40 KB
Volume
61
Category
Article
ISSN
0003-2638

No coin nor oath required. For personal study only.


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Let f be an analytic function defined on a complex domain and A ∈ M n (C). We assume that there exists a unique α satisfying f (α) = 0. When f (α) = 0 and A is non-derogatory, we completely solve the equation XA -AX = f (X). This generalizes Burde's results. When f (α) / = 0, we give a method to sol