A criterion for Erdös spaces

In 1940 Paul Erds introduced the 'rational Hilbert space', which consists of all vectors in the real Hilbert space'

Complete Erdös space is unstable

It is proved that the oountably infinite power of complete Erdos space

When the "golden" standard should be the general standard:Response to a commentary on the use of Randomised Controlled Trials to examine the effectiveness of Family Group Conferencing

Recently, a critical commentary was published in the British Journal of Social Work in which the use of Randomised Controlled Trials (RCTs) to examine the effects of Family Group Conferencing (FGC) was questioned and alternatives were proposed to better examine the effects of FGC. According to the authors, a critical approach towards the evidence provided by RCTs is warranted given the uncontrollability of the social reality of FGC and the generally small sample sizes of FGC studies. We think many of the arguments are based on a misunderstanding of RCTs, while the problems indicated are not solved by using a weaker research design. Because we believe it is a moral imperative to support children and families with evidence-based practice, we feel the need to respond to the misunderstandings and correct them. In addition, we emphasise the necessity for conducting research that allows unbiased conclusions about the effectiveness of FGC

Distributed Path Computation without Transient Loops: An Intermediate Variables Approach

Paths with loops, even transient ones, pose significant stability problems in networks. As a result, much effort has been devoted over the past thirty years to designing distributed algorithms capable of avoiding loops. We present a new algorithm, Distributed path computation with Intermediate Variables (DIV), that guarantees that no loops, transient or steady-state, can ever form. DIV’s novelty is in that it is not restricted to shortest paths, can easily handle arbitrary sequences of changes and updates, and provably outperforms earlier approaches in several key metrics. In addition, when used with distance-vector style path computation algorithms, DIV also prevents counting-to-infinity; hence further improving convergence. The paper introduces DIV and its key properties. Simulation quantifying its performance gains are also presented