Let C be a finite set of n elements and R = {r1, r2, . . . , rm} a family of m subsets of C. A subset X of R verifies the Consecutive Ones Property (C1P) if there exists a permutation P of C such that each ri in X is an interval of P . A Minimal Conflicting Set (MCS) S ⊆ R is a subset of R that does not verify the C1P, but such that any of its proper subsets does. In this paper, we present a ne...

Dermatology is an incredibly simple subject. The fact that there are over 1000 different skin diseases, each of which may appear in several disguises, with a correspondingly confusing nomenclature, is irrelevant, since diagnosis is not necessary for successful therapy. Dermatological diagnosis is undoubtedly useful for impressing less gifted colleagues who are only to be trusted with mechanisti...

Our aim is to define a version of a simpler short extenders forcing preserving strong cardinals. 1 The Main Preparation Forcing In this section we will redefine the preparation forcing of [6] in order to allow eventually to preserve strong cardinals. The definition will follow those of [6] with certain additions. Fix two cardinals κ and θ such that κ < θ and θ is regular. Definition 1.1 The set...

As a company providing VR professionals with the immersive visualization and interaction devices they require for their daily tasks, we are witnessing the limitations of existing expert user interfaces that do not address nonadvanced users’ requirements. That is why we aimed at simplifying both 3D interaction devices and the interaction tasks they are associated with, and confronted actual user...