On reciprocal symmetry

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On reciprocal symmetry

On the positive half-line, there are two natural, and complementary, analogues of the single notion of symmetry of distributions on the real line. One is the R-symmetry recently proposed and investigated by Mudholkar and Wang (2007); the other is the ‘log-symmetry’ investigated here. Log-symmetry can be thought of either in terms of a random variable having the same distribution as its reciproc...

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Crystallographic Symmetry in Reciprocal Space.

8 Oliver, J., Harvey Lectures, Series XL, 1944-1945, p. 102. J. Mount Sinai Hosp. 15, 175, (1948). 9 Dock, W., New Eng. J. Med., 227, 633 (1942). 10 Randerath, E., Ergeb. d. Allg. Path. u. Path. Anat. des Menschen u. der Tiere, 32, 91 (1937). 11 Smetana, H., Am. J. Path., 18, 1029 (1942) and 23, 255 (1947). 12 Monke, J. V., and Yuile, C. L., J. Exp. Med., 72, 149 (1940). Yuile, C. L., and Clark...

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Tetrahedrally close-packed structures with juxtaposed pentagonal antiprisms, such as the F, C14 Laves and the newly found C phases, were studied by means of HREM and SAD. It was found that each bright spot in the structural image corresponds to an antiprism. Differently oriented domains of these phases intergrow frequently with a fairly good match at the interphase boundary. All diffraction pat...

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It is necessary to generate the automorphism group of a chemical graph in computer-aided structure elucidation. An Euclidean graph associated with a molecule is defined by a weighted graph with adjacency matrix M = [dij], where for i≠j, dij is the Euclidean distance between the nuclei i and j. In this matrix dii can be taken as zero if all the nuclei are equivalent. Otherwise, one may introduce...

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ژورنال

عنوان ژورنال: Journal of Statistical Planning and Inference

سال: 2008

ISSN: 0378-3758

DOI: 10.1016/j.jspi.2007.11.006