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. [2] A . Banerjee , K. K . Das , and S . Haque . Integral closure of powers of edge ideals of weighted oriented graphs . Preprint . [3] A . Banerjee , K. K . Das , and S . Selvaraja . Powers of edge ideals of weighted oriented graphs with

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“I Have Seen a Wonderful Dream…”: “The Dream of the Most Holy Mother of God” Great Russian religious folk songs in Christian folk piety and magical practices. A possible source, and the oldest one, of the dream motif in “The Dream of Mary” is the dream of Mundane, which was reported by Herodotus and can be traced as far back as the ancient Persian times. It has however a more concrete relation to the tree of Jesse (Isaiah 11, 1–2), based on the prophecy of Isaiah, in which some very important events of the History of Redemption may also be represented instead of the ancestors of Christ. The closure has a function of key importance in the texts of “The Dream of the Mother of God”. Indulgence or pardon and remission of sins were often termed as the same, thus the differences in their meanings were lost. The closure suffered a distortion when people started to regard the heavenly powers (Christ and the Mother of God) as distributors of indulgence and started to use the prayers as well as songs deemed useful in the closures for magical purposes. The Russian adoption of the theme resulted in a complete loss of the Russian equivalent of “indulgence”.

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Patents are important intellectual assets for companies to defend or to claim their technological rights. To control R&D cost, companies should carefully examine their patents by patent quality. Approaches to evaluating patent quality are mostly a posteriori uses of factual information of patent quality. This paper examined whether patent quality can be predicted a priori, i.e., during the early years after a patent is granted, by analyzing information embedded in a network of patent citations. Social network analysis was applied to analyze two network positions occupied by a patent, brokerage and closure to determine whether either position is a good predictor of patent quality. Patent renewal decisions and forward citations were adopted as surrogates of patent quality. The analytical results showed that forward citations can be positively predicted by the brokerage position and negatively predicted by the closure position in the early and mature stages. Renewal decisions can be negatively predicted by the brokerage position in the early stage, and the closure position influences the renewal decision in a different way in the early and mature stages. These analytical results imply that a company should focus on developing patents that bridge different technologies as its technological developments reach maturity.

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In this paper we study the semigroup ℐ (ℕ) of partial cofinal monotone bijective transformations of the set of positive integers ℕ. We show that the semigroup ℐ (ℕ) has algebraic properties similar to the bicyclic semigroup: it is bisimple and all of its non-trivial group homomorphisms are either isomorphisms or group homomorphisms. We also prove that every locally compact topology τ on ℐ (ℕ) such that (ℐ (ℕ); τ) is a topological inverse semigroup, is discrete. Finally, we describe the closure of (ℐ (ℕ); τ) in a topological semigroup.

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-point description of shape: a representation for action coding and its psychophysical correlates. Vision Res, 38 (15–16), 2323–2333. Kovacs, I., Julesz, B. (1993): A closed curve is much more than an incomplete one: effect of closure in

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. The closure of the problem was first performed by Boussinesq, who introduced the concept of eddy viscosity. The additional turbulence stresses are then treated by increasing the molecular viscosity with an eddy viscosity. Among the classical closure

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Acta Mathematica Hungarica
G. C. L. Brümmer
E. Giuli
, and
D. Holgate
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to other elements, hydrogen can diffuse in tourmaline until a closure temperature of about 200–300 °C ( Jibao and Yaquian, 1997 ). The diffusion coefficient for hydrogen in tourmaline is about 10 −14 to 10 −13  m 2 s −1 in the temperature range of

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