We analyze the consequences of a recent argument justifying the validity of the “geodesic rule” which can be used to determine the density of global topological defects. We derive a formula that provides a rough estimate of the number of string-like defects formed in a phase transition. We apply this formula to vacua which are spheres. We provide some reasons for the deviation of our prediction...

This incorrect argument is often used, or accepted, because it seems at first sight to be so self-evident that we do not think about its validity. But in safety engineering we have to be concerned with hard physical realities, so we must be able to recognise incorrect statements and false arguments – like this one – even where we want to believe them because they give us a warm and fuzzy feelin...

The validity of global quadratic stability inequalities for uniquely regular area minimizing hypersurfaces is proved to be equivalent to the uniform positivity of the second variation of the area. Concerning singular area minimizing hypersurfaces, by a “quantitative calibration” argument we prove quadratic stability inequalities with explicit constants for all the Lawson’s cones, excluding six ...

It is generally accepted that optimal TCP receive buffer size is based on network conditions. We argue that processing limitations at the end hosts should also be a consideration. We present initial analysis as to the validity of this argument, noting process-receive buffer dynamics and its affect on throughput. Based on our observations, we offer suggestions as to how better network performanc...

This essay provides a close reading of Karl Barth's doctrine of election, attending not only to his argument but also to the patterns of his rhetoric and to his idiosyncratic use of terminology in order to uncover the theological logic that drives his doctrine, and thus to assess its validity. Particular attention is given to the telos of election as Barth conceived it, his theological method, ...