water quality is a most important factor in areas facing water crisis the survival of which is based upon it. in a determination of water value the factors that should be attended to are: the given volume, specified quality(preservation value), as well as the specific time and place.valuation of water in iran is dependent on types of exploited water resources which include: human consumption(qu...

The methods of defining and evaluating evolution of information in economic systems are often based on abstract measuretheoretic mean-preserving transformations (MPTs), also known as second-order stochastic dominance. This study first points out that such abstract MPTs have distributional equivalents and then shows that the distributional MPTs often provide analytical settings that are more acc...

In a discrete-time financial market setting, the paper relates various concepts introduced for dynamic portfolios (both in discrete and in continuous time). These concepts are: value preserving portfolios, numeraire portfolios, interest oriented portfolios, and growth optimal portfolios. It will turn out that these concepts are all associated with a unique martingale measure which agrees with t...

A reduced order representation of a large data set is often realized through a principal component analysis based upon a singular value decomposition (SVD) of the data. The left singular vectors of a truncated SVD provide the reduced basis. In several applications such as facial analysis and protein dynamics, structural symmetry is inherent in the data. Typically, reflective or rotational symme...