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In this article, we investigate some conditions for a real cyclic extension K   over QQ to satisfy the property that every totally positive unit of K is a square. As an application, we give a partial answer to Taussky's conjecture....

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A multiple-object auction is studied in which bidders' valuations are determined in a production game. The objects could be operating licenses or capacity. Expected revenue is maximized when they are all sold to a single bidder. A sequ...

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We consider weighted graphs, where the edge weights are positive definite matrices. In this paper, we obtain two upper bounds on the spectral radius of the Laplacian matrix of weighted graphs and characterize graphs for which the bounds...

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Autoradiographic analysis of the primary retinal projections in the thornback guitarfish reveals both contralateral and ipsilateral projections to diencephalic, pretectal, and tegmental nuclei and the optic tectum. A total of 12 retino-...

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The n-dimensional augmented cube, denoted as AQn, a variation of the hypercube, possesses some properties superior to those of the hypercube. In this paper, we show that every vertex in AQn lies on a fault-free cycle of every length fro...

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We show a principle of large deviations for sums of random variables which themselve obey a principle of large deviations with speed an and rate function I. The new rate function is again given by I, whereas the speed increases by a fac...

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Two recent papers in Cell have shown that a regulatory loop involving the WUSCHEL, AGAMOUS, and LEAFY genes controls the switch from continuous meristem growth to flower development in Arabidopsis. The paper by Humlum et al. (2013) sug...

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An analysis of a simply supported rectangular elastic plate forced into bending vibrations by the application of time harmonic voltages to piezoelectric actuators attached to its bottom and top surfaces is performed by using the equatio...

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The first description of Lepidopteris from theUpper Triassic Tonkin Air Jordan 2 flora (collection of Lyon University) is given; this genus was absent an all previously described collections from Vietnam.RésuméPremière description de...

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Addition of small amounts of lithium nitrate to natural phosphate followed by calcination gives a new catalyst LiNO3/NP. Several chalcones are efficiently prepared using a low amount of LiNO3/NP under mild reaction conditions. The yield...

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