A Failure of the Bolzano-Weierstrass Lemmaby J. Billing
โ Scribed by Review by: Alonzo Church
- Book ID
- 124945515
- Publisher
- Association for Symbolic Logic
- Year
- 1947
- Tongue
- English
- Weight
- 189 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0022-4812
- DOI
- 10.2307/2267223
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๐ SIMILAR VOLUMES
Many problems in mathematics and other natural sciences and techniques reduce themselves to determining all roots of generalized polynomial equations. We consider in this paper the situations in which the critical initial approximations {z:}, i = 1,. ,n, fail, when the iterative methods of Newton-We
On the other hand, suppose there exists a non-smooth minimizer ~(') to (2). By ( 5)-( 7), it is then necessary that there exist distinct ~'t and Fz in ~ such that Fz = F~ + a ยฎ n, I, Vv(F2)a = WF(~'t)u, and ## W~-F(I~z)[UยฎV]'UยฎV >10 and WFv(I'~OI'uยฎv-I'uยฎv >10 for all u and v in R s.