Unique History, Unique Opportunity: Evangelicalism in Austria since 1945

The article deals with the history of evangelicalism in Austria, a subject on which there is hardly any scholarly research. In focus is the development of the newly recognized baptist, charismatic, mainline evangelical, mennonite and pentecostal denominations since 1945. The role of immigration in the growth of evangelicalism is examined, especially during two periods: the decade after WWII (1945-55) as well as the massive immigration from Eastern Europe (particularly from Romania) after the fall of the Iron Curtain in 1989. The article also presents examples of indigenous church movements among the Austrian people themselves, especially during the 1970\u27s and 1980\u27s. Although the story of its growth is remarkable, less than 0.3% of the population are members of evangelical churches. Conclusions are made as to how Austria\u27s evangelicals can learn from their past in order to more effectively shape their future

Forging Unique Nursing Careers

Three nursing alumni have melded their careers with other interests in unlikely locations — the legal arena and ships

Quantifying unique information

We propose new measures of shared information, unique information and synergistic information that can be used to decompose the multi-information of a pair of random variables $(Y,Z)$ with a third random variable $X$. Our measures are motivated by an operational idea of unique information which suggests that shared information and unique information should depend only on the pair marginal distributions of $(X,Y)$ and $(X,Z)$. Although this invariance property has not been studied before, it is satisfied by other proposed measures of shared information. The invariance property does not uniquely determine our new measures, but it implies that the functions that we define are bounds to any other measures satisfying the same invariance property. We study properties of our measures and compare them to other candidate measures.Comment: 24 pages, 2 figures. Version 2 contains less typos than version

Computing the Unique Information

Given a pair of predictor variables and a response variable, how much information do the predictors have about the response, and how is this information distributed between unique, redundant, and synergistic components? Recent work has proposed to quantify the unique component of the decomposition as the minimum value of the conditional mutual information over a constrained set of information channels. We present an efficient iterative divergence minimization algorithm to solve this optimization problem with convergence guarantees and evaluate its performance against other techniques.Comment: To appear in 2018 IEEE International Symposium on Information Theory (ISIT); 18 pages; 4 figures, 1 Table; Github link to source code: https://github.com/infodeco/computeU

Unique geodesics for Thompson's metric

In this paper a geometric characterization of the unique geodesics in Thompson's metric spaces is presented. This characterization is used to prove a variety of other geometric results. Firstly, it will be shown that there exists a unique Thompson's metric geodesic connecting $x$ and $y$ in the cone of positive self-adjoint elements in a unital $C^*$-algebra if, and only if, the spectrum of $x^{-1/2}yx^{-1/2}$ is contained in $\{1/\beta,\beta\}$ for some $\beta\geq 1$. A similar result will be established for symmetric cones. Secondly, it will be shown that if $C^\circ$ is the interior of a finite-dimensional closed cone $C$, then the Thompson's metric space $(C^\circ,d_C)$ can be quasi-isometrically embedded into a finite-dimensional normed space if, and only if, $C$ is a polyhedral cone. Moreover, $(C^\circ,d_C)$ is isometric to a finite-dimensional normed space if, and only if, $C$ is a simplicial cone. It will also be shown that if $C^\circ$ is the interior of a strictly convex cone $C$ with $3\leq \dim C<\infty$, then every Thompson's metric isometry is projectively linear.Comment: 30 page