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The relationship between the class %plane1D;518;2(R,S) of (0,1,2)-matrices and the collection of constellation matrices

โœ Scribed by Su-Mei Hou

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
341 KB
Volume
290
Category
Article
ISSN
0024-3795

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โœฆ Synopsis

Let ~I2(R, S) be the class of all (0, l, 2)-matrices with a prescribed row sum vector R and column sum vector S. A (0, 1,2)-matrix in N2(R,S) is defined to be parsimonious provided no (0, 1,2)-matrix with the same row and column sum vectors has fewer positive entries. In a parsimonious (0, 1,2)-matrix A there are severe restrictions on the (0, 1)-matrix A <,' which records the positions of the l's in A. Brualdi and Michael obtained some necessary arithmetic conditions for a set of matrices to serve simultaneously as the l-pattern matrices for parsimonious matrices in a given class. In this paper, we provide a direct construction that proves that these conditions are also sufficient.

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On the 1S โ†’ 1D emission of O by exciting O2 into and beyond the Schumann-Runge continuum in Ar matrices at 15 K
โœ Murthy S. Gudipati ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 553 KB

The excitation spectrum of a stable photoproduct of 0 2 is recorded by monitoring the 1S ~ 1D emission of O in Ar matrices at 15 K between 200 and 100 nm. The time evolution and changes in intensity of the tS ~ 1D emission of O at different excitation energies indicate the presence of a stable speci