A k-matching is a set of k elements of a matrix, no two of which belong to the same row or column. The minimum weight k-matching of an m × n matrix C is the k-matching whose entries have the smallest sum. Coppersmith and Sorkin conjectured that if C is generated by choosing each entry independently from the exponential distribution of rate 1, then the expected value of the weight of the minimum...

The space of polynomials in two real variables with values in a 2-dimensional irreducible module of a dihedral group is studied as a standard module for Dunkl operators. The one-parameter case is considered (omitting the two-parameter case for even dihedral groups). The matrix weight function for the Gaussian form is found explicitly by solving a boundary value problem, and then computing the n...

A linear code E? is said to he in minimal-change order if each codeword differs from its predecessor by a word of minimum weight. A rule is presented to construct such an order in case that i? has a basis of codewords with minimum weight. Some consequences concem-ing the ranking and separability in 5 F are mentioned. It is well known that the set of all binary words of length n can be ordered i...

in the present study, modelling and vibration analysis of carbon nanotubes/ fiber/ polymer composite microplates are investigated. the governing equations of the carbon nanotubes/ fiber/ polymer composite microplates are derived based on first order shear deformation plate theory, rather than other plate theories, due to accuracy and simplicity of polynomial functions. the modified couple stres...

a consortium of biofertilizers (azotobacter chroococcum and bacillus subtilis) was applied in conventional as well as organic matrix entrapped granular forms as sole nutrient source in two different doses for cultivation of wheat (triticum aestivum l. cv. pbw-343). a double dose of conventional biofertilizers increased the growth of wheat plants as measured on 30, 60, 90, and 120 days after sow...