The point (0.5, 0.5, 0.5) ∈ P1, i.e. it satisfies the constraints above; however it is not in the convex hull of the matching vectors. The above example motivates the following family of additional constraints (introduced by Edmonds). Observe that for any matching M , the subgraph induced by M on any odd cardinality vertex subset U has at most (|U | − 1)/2 edges. Thus, without losing any of the...

It was proved by Michel Talagrand in [10] that the Parisi formula for the free energy in the Sherrington-Kirkpatrick model is differentiable with respect to inverse temperature parameter. We present a simpler proof of this result by using approximate solutions in the Parisi formula and give one example of application of differentiability to prove non self-averaging of the overlap outside of the...

In 1863, Michel described a condition characterized by a total absence of differentiated inner ear structures associated with other skull base anomalies, including an abnormal course of the facial nerve and jugular veins. Michel aplasia clearly differs from Michel dysplasia, in which arrest of embryologic development occurs later. Recently, the role of otic capsule formation on mesenchymal diff...

The patients of today are more often than previously said to act as consumers towards healthcare. However, the definition of the concept of consumer is often unclear and not based on theory. The present paper applies a theoretical framework that emphasizes the role of technological devices for the construction of calculating consumers as outlined by Michel Callon. The focus is on to what extent...

This paper explores the different yet complementary aspects of the panopticon and the panspectron using the case study of the Israeli controlled Palestinian territory, the Gaza Strip. Beginning with a brief theoretical discussion of the concept of panopticon and panspectron expanding on the existing literature, the paper moves on to discuss the implementation of panoptical and panspectral techn...

This chapter focusses on Foucault, Butler, and video-sharing on sexual social networking sites. It argues that the use and prevalence of video-sharing technologies on sexual social networking websites, has a direct impact on our notions of sexual identity. Though sometimes pitted against one another and at times contradictory, the ideas of Michel Foucault and Judith Butler on the nature and exp...

Purpose – Using Michel Foucault’s notion of heterotopia as a guide, the purpose of this paper is to explore the implications of considering the library as place, and specifically as a place that has the “curious property of being in relation with all the other sites, but in such a way as to suspect, neutralize, or invent the set of relations that they happen to designate, mirror, or reflect” (F...

I examine the debate between Michel Janssen and Harvey Brown over the arrow of explanation in special relativity. Brown argues that the symmetries of the dynamical laws explain the symmetries of space-time, whereas Janssen argues for the converse. Janssen has recently argued against Brown’s position on the grounds that it recommends trying to infer information from the relativistic effects, e.g...

Michel Planat, Peter Levay and Metod Saniga 1 Institut FEMTO-ST, CNRS, 32 Avenue de l’Observatoire, F-25044 Besançon, France. 2 Departement of Theoretical Physics, Institute of Physics, Budapest University of Technology and Economics, H-1521 Budapest, Hungary 3 Astronomical Institute, Slovak Academy of Sciences, SK-05960 Tatranskà Lomnica, Slovak Republic. 4 Center for Interdisciplinary Researc...

-In this paper, we investigate some properties of Michel Penot subdifferentials of locally Lipschitz functions and establish Lagrange multiplier rule in terms of Michel-Penot subdifferentials for nonsmooth mathematical programming problem. Key-Words: Nonsmooth optimization; approximate subdifferentials; generalized gradient; Michel Penot subdifferential; Banach space.