There are countless high mountains in Tibet, and ancient Tibetans believed that gods resided on every one of them. The worship of mountain gods was one of the most important forms of nature worship among ancient Tibetans; it was fundamental to their entire belief system. Each mountain god possessed his own territory and was in charge of particular affairs. Around each god sprang up myths, legen...

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The aim of this paper is to give new results about factorizations of the Fibonacci numbers Fn and the Lucas numbers Ln. These numbers are defined by the second order recurrence relation an+2 = an+1+an with the initial terms F0 = 0, F1 = 1 and L0 = 2, L1 = 1, respectively. Proofs of theorems are done with the help of connections between determinants of tridiagonal matrices and the Fibonacci and ...

Conventional assessment of welded joint impact toughness, as defined in relevant standards for welding procedure qualification is based on testing of real specimens taken from base metal, weld metal, and heat affected zone. Here particularly, testing of heat affected zone may become unreliable, mainly due to the welded joint configuration and placement of initial notch. In addition, from genera...

We have used data taken as part of the Herschel infrared Galactic Plane survey (Hi-GAL) to study 3171 infrared-dark cloud (IRDC) candidates that were identified in the mid-infrared (8 μm) by Spitzer (we refer to these as ‘Spitzer-dark’ regions). They all lie in the range l=300 − 330 ◦ and |b| 6 1 ◦. Of these, only 1205 were seen in emission in the far-infrared (250–500 μm) by Herschel (we call ...

Representative Elementary Watershed concepts provide a useful scale-independent framework for the representation of hydrological processes. The balance equations that underlie the concepts, however, require the definition of boundary flux closures that should be expected to be scale dependent. The relationship between internal state variables of an REW element and the boundary fluxes will be no...

1 2 3 SELF-ASSOCIATION OF THE GAL4 INHIBITOR PROTEIN, GAL80, IS 4 IMPAIRED BY GAL3: EVIDENCE FOR A NEW MECHANISM IN THE GAL 5 GENE SWITCH 6 7 8 Egriboz, Onur; Goswami, Sudip; Tao, Xiaorong; Dotts, Kathleen; Schaeffer, 9 Christie; Pilauri, Vepkhia; Hopper, James E. 10 11 12 13 14 15 The Ohio State University, Comprehensive Cancer Center 16 The Ohio State University, Department of Molecular Genet...

90. Ratepayer, Stonehaven Journal, 26 January 1911. 91. Ibid., 18 July 1912. 92. Ibid., 24 April 1913. 93. The reports are of great interest and include detailed accounts of marine biological research in Aberdeen and elsewhere. In charge of scientific investigations for over thirty years was T. Wemyss Fulton, an Edinburgh M.D. 94. Stonehaven Journal, 14 July 1859. 95. D.N.P. 'Obituary', Proc. R...

What is certain is that mathematics cannot possibly be a valid means (to advances in economic understanding) unless and until it is used properly. That means that dimensions must be used consistently and correctly. Barnett (Barnett, Quart J Austrian Econ, pp. 27-46, 2003) is about problems with the use of mathematics in economics involving the failure to use dimensions/units consistently and co...

1. Robert D. Carmichael, Introduction to the Theory of Groups of Finite Order, Ginn and Co., New York, 1937. 2. G. A. Miller, "Transitive groups of degree p = 2q + 1, p and q being prime numbers," Quart. Jn. of Math., v. 39, 1908, p. 210-216. 3. K. D. Fryer, "A class of permutation groups of prime degree," Canadian Jn. Math., v. 7, 1955, p. 24-34. 4. W. Burnside, Theory of Groups of Finite Orde...