Results 291 to 300 of about 1,683,952 (323)
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Amputation in the Diabetic to Maximize Function
Seminars in Vascular Surgery, 2012For the patient facing a major lower extremity amputation, the surgeon's goal should be to salvage a residual limb with the maximum amount of function. This requires coordinating length with the available prosthetics and tenodesing muscle to optimize joint motion and maintain muscle tone.
Benjamin J, Brown +2 more
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Maximally Nonlinear Functions and Bent Functions
Designs, Codes and Cryptography, 1999The topic to which the present paper belongs has earlier been studied in several works of Dobbertin. Let \(GF(2^n)\) be the finite field of size \(2^n\). The mappings (denoted by \(F\)) from \(GF(2^n)\) to itself are studied. A quantity \(L(F)\) is introduced, it serves as a measure of the linearity of \(F\).
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REGULARITY OF THE FRACTIONAL MAXIMAL FUNCTION
Bulletin of the London Mathematical Society, 2003The purpose of this work is to show that the fractional maximal operator has somewhat unexpected regularity properties. Our main result shows that the fractional maximal operator maps \(L^p\)-spaces boundedly into certain first-order Sobolev spaces. We also prove that the fractional maximal operator preserves first-order Sobolev spaces.
Kinnunen, Juha, Saksman, Eero
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Maximal Functions in Sobolev Spaces
2008Applications of the Hardy-Littlewood maximal functions in the modern theory of partial differential equations are considered. In particular, we discuss the behavior of maximal functions in Sobolev spaces, Hardy in- equalities, and approximation and pointwise behavior of Sobolev functions.
Aalto Daniel, Kinnunen Juha
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Maximizing the potential of functional genomics
Nature Reviews Genetics, 2004Geneticists have made tremendous progress in understanding the genetic basis of phenotypes, and genomics promises to bring further insights at a rapid pace. The progress in functional genomics has been driven primarily by the development of new techniques that are used in a few dedicated research centres.
Lars M, Steinmetz, Ronald W, Davis
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Maximality in Function Algebras
Journal of the London Mathematical Society, 1980openaire +2 more sources