When is Betweenness Preserved?

When every $P$-flat ideal is flat

In this paper‎, ‎we study the class of rings in which every $P$-flat‎ ‎ideal is flat and which will be called $PFF$-rings‎. ‎In particular‎, ‎Von Neumann regular rings‎, ‎hereditary rings‎, ‎semi-hereditary ring‎, ‎PID and arithmetical rings are examples of $PFF$-rings‎. ‎In the context domain‎, ‎this notion coincide with‎ ‎Pr"{u}fer domain‎. ‎We provide necessary and sufficient conditions for‎...

Sequence Learning is Preserved in Individuals with Cerebellar Degeneration when the Movements are Directly Cued

Cerebellar pathology is associated with impairments on a range of motor learning tasks including sequence learning. However, various lines of evidence are at odds with the idea that the cerebellum plays a central role in the associative processes underlying sequence learning. Behavioral studies indicate that sequence learning, at least with short periods of practice, involves the establishment ...

Reverse Shoulder Arthroplasty is Superior to Hemiarthroplasty for Cuff Tear Arthropathy with Preserved Motion

Background: It is unclear whether hemiarthroplasty (HA) or reverse shoulder arthroplasty (RS) are superior for patientswith cuff tear arthropathy (CTA) and preserved preoperative motion (elevation >90˚).Methods: This was a retrospective, single institution study. Patients who underwent RSA or HA for CTA were included ifthey had preserved preoperative motion with a minimum of 2...

when appropriate statistical analysis is dismissed

KADABRA is an ADaptive Algorithm for Betweenness via Random Approximation

We present KADABRA, a new algorithm to approximate betweenness centrality in directed and undirected graphs, which significantly outperforms all previous approaches on real-world complex networks. The efficiency of the new algorithm relies on two new theoretical contribution, of independent interest. The first contribution focuses on sampling shortest paths, a subroutine used by most algorithms...