I dedicate this dissertation to all my loved ones, those with me today and those who have passed on.

An immediate corollary is that it is always possible to pick a Z-lattice inside QS so that the corresponding p-modular reduction is isomorphic to the dual of the conventional p-modular reduction (coming from the standard basis and written FpS λ). Thus our theorem gives a rich source of examples of non-isomorphic p-modular reductions. It would be interesting to know how far it is possible, by pi...

We provide sharp lower and upper bounds for the Gelfand widths of lp-balls in the N -dimensional lNq -space for 0 < p ≤ 1 and p < q ≤ 2. Such estimates are highly relevant to the novel theory of compressive sensing, and our proofs rely on methods from this area.

In this paper, the utility of Landsat TM imagery for water quality studies in East Texas is investigated. Remote sensing has an important and effective role in water quality management. Remote sensing satellites measure the amount of solar radiation reflected by surface water and the reflectance of water depend upon the concentration and character of water quality parameters. Three water qualit...

abstract the amount of needed fertilizer in agricultural soils depends to the type of crop. absence of enough fertilizer may cause in tensions in plants and consequently result in decrease in amount of product. according to the agricultural literature, soils containing total nitrogen amounts (n %) between 0.1-0.15 percent are considered as soils containing normal amounts of nitrogen. the values...

the interaction of a nitrosyl hydride (hno) molecule with b12n12 nanocage was explored by means of density functional calculations. it was found that hno prefers to be adsorbing on a boron atom of the cage with adsorption energy of -0.65 ev. this adsorption process significantly shifts the homo-lumo gap (eg) of the cage to lower energies, thereby reducing eg of the cage from 6.84 to 2.45 ev. ti...

We analyze single binary-choice voting rules and identify the presence of the No-Show paradox in this simple setting, as a consequence of specific turnout or quorum conditions that are included in actual rules. Since these conditions are meant to ensure a representative outcome, we formalize this concern and reach our main result: no voting rule can ensure representation if abstention is possib...