wastewater production is increasing every year. the variety of contaminants necessitates the application of effective and advanced treatment methods. among the materials that  are predominantly used for wastewater treatment are carbon nanotubes. exposure to the residuals of carbon nanotubes after wastewater treatment through drinking, inhalation, and dermal contact during regular indoor activit...

At the finest scale of our coarse-to-fine alignment strategy, we require an alignment technique which performs well given large tile sizes but a very small search radius. In this context, techniques such as our previously-described fast subpixel L2 alignment, or even simpler techniques such as phase correlation [Kuglin and Hines 1975] are outperformed by a well-implemented brute-force procedure...

In this article, we discuss the effect of removing the independence assumptions between the residuals in two-level random effect models. We first consider removing the independence between the Level 2 residuals and instead assume that the vector of all residuals at the cluster level follows a general multivariate normal distribution. We demonstrate how this assumption can allow us to fit higher...

We study the behavior of the conjugate-gradient method for solving a set of linear equations, where the matrix is symmetric and positive definite with one set of eigenvalues that are large and the remaining are small. We characterize the behavior of the residuals associated with the large eigenvalues throughout the iterations, and also characterize the behavior of the residuals associated with ...

Rosenblatt's transformation has been used extensively for evaluation of model goodness-of-fit, but it only applies to models whose joint distribution is continuous. In this paper we generalize the transformation so that it applies to arbitrary probability models. The transformation is simple, but has a wide range of possible applications, providing a tool for exploratory data analysis and forma...

Large quantities of animal residuals are produced every day. In some cases, these residuals can be recycled by application to land in its raw form. In other cases, the residuals must be treated to reduce its strength in order to recycle that material on land. Large production units for producing animals are on the rise, thus no longer allowing recycling on land as a viable option. For processin...

At the finest scale of our coarse-to-fine alignment strategy, we require an alignment technique which performs well given large tile sizes but a very small search radius. In this context, techniques such as our previously-described fast subpixel L2 alignment, or even simpler techniques such as phase correlation [Kuglin and Hines 1975] are outperformed by a well-implemented brute-force procedure...

The most often used approaches to obtaining and using residuals in applied work with time series models, are unified and documented with both partially-known and new features. Specifically, three different types of residuals, namely "conditional residuals", "unconditional residuals" and "innovations", are considered with regard to (i) their precise definitions, (ii) their computation in practic...