Compliance equations based on back-face strain or crack mouth opening displacement, and potential drop techniques are widely used to calculate fatigue growth rate. Standard ASTM E647 for rate testing does not include compliance single edge notched four-point bending (SENB-4P) specimens. Equations developed finite element (FE) analysis have been reported in literature; however, they limited the ...

the present study mainly aims to demonstrate the weaknesses and strengths of using marketing principles in academic libraries and finally presenting some important suggestions in order to improve their marketing. this study proceeds through expressing the current marketing situation of studied academic libraries from the view point of 4p model. in this regard, the current situation is analyzed ...

One often sees contradictory stories in the media from "reputable scientific sources" who claim, one day, that "Global warming will occur, and the results will be catastrophic unless something is done immediately," and, on another day, that "There is no direct evidence for global warming, and people should not waste money on something that may or may not happen." On yet another day, one hears t...

Interestingly, the previously reported patient with a different but overlapping deletion of chromosome 12 long arm (q13.3-q21.1) and the subject of this report have only a few features in common (table). The deletion in each includes the portion 12q13.3 to q21. 1. It is unclear whether the small difference in the portion of 12q deleted accounts for the fact that they do not resemble each other ...

Let p ≡ 7 mod 16 be a prime. Then there are integers a, b, c, d with a ≡ 15 mod 16, b ≡ 0 mod 4, p = a + 2(b + c + d), and 2ab = c − 2cd − d. We show that there is a regular Hadamard matrix of order 4p provided that p = a± 2b or p = a+ δ1b+4δ2c+4δ1δ2d with δi = ±1. ∗This research was done during a visit of the first two authors at the University of Augsburg

On the one hand, Socolar showed in 1990 that the n-fold planar tilings admit weak local rules when n is not divisible by 4 (the n = 10 case corresponds to the Penrose tilings and is known since 1974). On the other hand, Burkov showed in 1988 that the 8-fold tilings do not admit weak local rules, and Le showed the same for the 12-fold tilings (unpublished). We here show that this is actually the...

Economic competitiveness and prosperity are decreased when ubiquitous supply chains suffer disruptive and costly perturbations. Statistical physics shows that both the nature of the perturbations and the effectiveness of management attempts to minimize them depend strongly on the extent of rational information exchange between the entities in the chain. A new immersive interactive learning obje...

We determine and classify all finite-dimensional Hopf algebras over an algebraically closed field of characteristic zero whose coradicals are isomorphic to dual Radford dimension $4p$ for a prime $p>5$. In particular, we obtain families new examples without the Chevalley property.

A Wolf-Hirschhorn syndrome is a rare chromosomal anomaly, which results from deletion of the distal portion short arm chromosome 4 (4p-), diagnosis based on clinical picture, easily recognizable in children, confirmed by molecular cytogenetics. We report case baby with wolf-Hirschhorn revealed status epilepticus.