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A Comparative Study of Laparoscopic Skills Between Novices and Experts: How to Steepen the Learning Curve. [PDF]
Haber JJ, Helou E.
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Convexity and convex sets [PDF]
The history of convexity History of convexity is rather astonishing, even paradoxical, and we explain why. On the one hand, the notion of convexity Convexity is extremely natural, so much so that we find it, for example, in works on artArt and anatomyAnatomy without it being defined.
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Convexity without convex combinations
Journal of Geometry, 2015Separation theorems play a central role in the theory of Functional Inequalities. The importance of Convex Geometry has led to the study of convexity structures induced by Beckenbach families. The aim of the present note is to replace recent investigations into the context of an axiomatic setting, for which Beckenbach structures serve as models ...
Mihály Bessenyei, Bella Popovics
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Convex Functionals on Convex Sets and Convex Analysis
1985Over the last 20 years, parallel to the theory of monotone operators, a calculus for the investigation of convex functionals designated by convex analysis has emerged, which allows one to solve a number of problems in a simple way. To this calculus belong: (α) The subgradient ∂F (a generalization of the classical concept of derivative).
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Convex and anti-convex languages
International Journal of Computer Mathematics, 1998We define here the counterpart of Jensen convex and anti-convex sets of real numbers for the case of languages. We investigate the existence of languages consisting only of strings in which a set of symbols is convex or anti-convex, as well as the place of such languages in Chomsky hierarchy. Local convexity is also briefly investigated.
Jürgen Dassow+2 more
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Convex Sets and Convex Functions
2002This chapter explores sets that can be represented as intersections of (a possibly infinite number of) halfspaces of Rn . As will be shown, these are exactly the closed convex subsets. Furthermore, convex functions are studied, which are closely connected to convex sets and provide a natural generalization of linear functions.
Ulrich Faigle, Walter Kern, Georg Still
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Convex Sets and Convex Functions
2014Convex sets and functions have been studied since the nineteenth century; the twentieth century literature on convexity began with Bonnesen and Fenchel’s book [1], subsequently reprinted as [2].
Dan A. Simovici, Chabane Djeraba
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