WebbPalais-Smale condition at the level t, if every sequence {xk}k∈N ⊂ Rn such that f(xk) → t and mf(xk) → 0 as k → ∞ possesses a convergence subsequence. The following result extends [24, Theorem B] from polynomial functions to semi-algebraic functions. WebbStephen Smale (1930 - ) - Biography - MacTutor History of Mathematics Stephen Smale Quick Info Born 15 July 1930 Flint, Michigan, USA Summary Stephen Smale received the …

The Mathematics of Emergence

WebbIn 1957 Stephen Smale startled the mathematical world by showing that, in a theoretical sense, it is possible to turn a sphere inside out. A few years later, from the beaches of Rio, he introduced the horseshoe map, demonstrating that simple functions could have chaotic dynamics. His next stunning mathematical accomplishment was to solve the ... WebbStephen Smale: The Mathematician Who Broke the Dimension Barrier Steve Batterson Publisher: American Mathematical Society Publication Date: 2000 Number of Pages: 306 Format: Hardcover Price: 35.00 ISBN: 0-8218-2045-1 Category: General MAA Review Table of Contents [Reviewed by Shirley B. Gray , on 04/19/2001 ] csf hypotension syndrome

‪Stephen SMALE‬ - ‪Google Scholar‬

• Smale, Stephen (1959a). "A classification of immersions of the two-sphere". Transactions of the American Mathematical Society. 90 (2): 281–290. doi:10.1090/S0002-9947-1959-0104227-9. MR 0104227. Zbl 0089.18102. • Smale, Stephen (1959b). "The classification of immersions of spheres in Euclidean spaces". Annals of Mathematics. Second Series. 69 (2): 327–344. doi:10.2307/1970186. JSTOR 1970186. MR 0105117. Zbl 0089.18201. WebbThe Smale conjecture, named after Stephen Smale, is the statement that the diffeomorphism group of the 3-sphere has the homotopy-type of its isometry group, the … WebbSmale’s Mean Value conjecture: M = 1 or even Md = d 1 d, where d = degP. S. Smale, The fundamental theorem of algebra and complexity theory, Bull. Amer. Math. Soc. 4 (1981), … csf hypotension mri