The construction of density-functional approximations is explored by modeling the adiabatic connection locally, using energy densities defined in terms of the electrostatic potential of the exchange-correlation hole. These local models are more amenable to the construction of size-consistent approximations than their global counterparts. In this work we use accurate input local ingredients to a...

The analysis of local changes in sequence data is of interest for various applications such as the segmentation of DNA and other genetic sequences, or financial data sequences. Patterns of change that can be characterized as local jump change or slope change are of special interest. We propose simple graphical tools to visualize such patterns of local change. The concept of mode trees, develope...

From a rediscussion of Local Group membership, and of distances to individual galaxies, we obtain MV values for 35 probable and possible Local Group members. The luminosity function of these objects is well fitted by a Schechter function with faint end slope α = −1.1 ± 0.1. The probability that the luminosity distribution of the Local Group is a single Schechter function with α steeper than −1....

Extraction of vegetation information from remotely sensed images has remained a long-term challenge due to the influence of soil background. To reduce this effect, the slope and intercept of the soil line (SL) should be known to calculate SL-related vegetation indices (VIs). These VIs can be used to estimate the biophysical parameters of agricultural crops. However, it is a difficult task to re...

Water loss can be minimized and conserve through constructing small storage dams for various irrigation purposes to support local livelihood. Geographic information system provides powerful techniques for many hydrological modeling and suitable dam site selection. The current study explored potential sites for small storage dams to meet agricultural requirements in district Malakand, Khyber Puk...

This paper investigates to what extent statements, Whquestions, Yes/No-questions and declarative questions in Dutch can be automatically discriminated on the basis of global and local F0-parameters. Global parameters were the slope and mean pitch of upper and lower trend lines that were fitted through F0-curves; local parameters were onset and offset F0 of a terminal question-marking pitch rise...

We discuss the link between the observations of distant quasars and those of massive dark objects in the cores of many local galaxies. We show how the formation of early black holes gives rise to the luminosity function of high z quasars, while it imprints into their dark local relics a related shape of the mass-dispersion correlation. We propose that in its lower section the correlation slope ...

We propose a new method for local linear smoothing, filtering and prediction of noisy data. Its novelty consists in two of its steps: a sliding window filter that uses Student’s t-statistics to perform smoothing and filtering, and a trend change detection scheme that uses a convex hull construction to determine a change of slope or intercept of the local linear trend. The final linear trend det...