We study the notions of positive cone, characteristic and C-characteristic in (Krasner) hyperfields. demonstrate how these interact order to produce interesting results theory For instance, we provide a criterion for deciding whether certain hyperfields cannot be obtained via Krasner’s quotient construction. prove that any integer (larger than 1) can realized as some infinite hyperfield an anal...

Precision-recall (PR) and receiver operating characteristic (ROC) curves are valuable measures of classifier performance. Here, we present the R-package PRROC, which allows for computing and visualizing both PR and ROC curves. In contrast to available R-packages, PRROC allows for computing PR and ROC curves and areas under these curves for soft-labeled data using a continuous interpolation betw...

We give a summary of known results on the maximal distances between Dehn fillings on a hyperbolic 3–manifold that yield 3–manifolds containing a surface of non-negative Euler characteristic that is either essential or Heegaard. AMS Classification 57M25; 57M50

BACKGROUND AND OBJECTIVES The Faces Pain Scale-Revised (FPS-R) and Color Analog Scale (CAS) are self-report pain scales commonly used in children but insufficiently validated in the emergency department setting. Our objectives were to determine the psychometric properties (convergent validity, discriminative validity, responsivity, and reliability) of the FPS-R and CAS, and to determine whether...

The modular reenement of object-oriented specii-cations requires a sound theory of behavioural compatibility of classes. Such a theory will depend on the way in which objects of a class interact with their environment. This paper deenes two notions of behavioural compatibility. Observational compatibility is relevant when an active object is placed within a passive environment and operational c...