Book Review: Research Methods in Education, 7th Edition

This article reviews the book, “Research Methods in Education” by Louis Cohen, Lawrence Manion, Keith Morrison (Authors)

Positioning systems in Minkowski space-time: Bifurcation problem and observational data

In the framework of relativistic positioning systems in Minkowski space-time, the determination of the inertial coordinates of a user involves the {\em bifurcation problem} (which is the indeterminate location of a pair of different events receiving the same emission coordinates). To solve it, in addition to the user emission coordinates and the emitter positions in inertial coordinates, it may happen that the user needs to know {\em independently} the orientation of its emission coordinates. Assuming that the user may observe the relative positions of the four emitters on its celestial sphere, an observational rule to determine this orientation is presented. The bifurcation problem is thus solved by applying this observational rule, and consequently, {\em all} of the parameters in the general expression of the coordinate transformation from emission coordinates to inertial ones may be computed from the data received by the user of the relativistic positioning system.Comment: 10 pages, 7 figures. The version published in PRD contains a misprint in the caption of Figure 3, which is here amende

Positioning systems in Minkowski space-time: from emission to inertial coordinates

The coordinate transformation between emission coordinates and inertial coordinates in Minkowski space-time is obtained for arbitrary configurations of the emitters. It appears that a positioning system always generates two different coordinate domains, namely, the front and the back emission coordinate domains. For both domains, the corresponding covariant expression of the transformation is explicitly given in terms of the emitter world-lines. This task requires the notion of orientation of an emitter configuration. The orientation is shown to be computable from the emission coordinates for the users of a `central' region of the front emission coordinate domain. Other space-time regions associated with the emission coordinates are also outlined.Comment: 20 pages; 1 figur

On the degrees of freedom of a semi-Riemannian metric

A semi-Riemannian metric in a n-manifold has n(n-1)/2 degrees of freedom, i.e. as many as the number of components of a differential 2-form. We prove that any semi-Riemannian metric can be obtained as a deformation of a constant curvature metric, this deformation being parametrized by a 2-for

The characterization of the soil biological quality of organic viticulture can be achieved by analyzing soil nematofauna

Soil nematofauna is a bioindicator that can highlight changes in biological functioning when changing agricultural practices. In the present study, the effects of conversion of vineyards to organic agriculture on biological soil quality were evaluated. Twenty four conventional plots and organic plots in Cruscades (Aude) were studied: they were divided into four groups: (1) conventional, (2) converted for 7 years (Bio 7 years), (3) converted for 11 years (Bio 11) and (4) converted for 17 (Bio 17). The nematofauna was analyzed in 96 soil samples (four samples per plot) taken from the surface layer of soil (0-15 cm). The more longer the conversion of plots to organic viticulture, the higher the biological activity of the soil; it is the abundance of non-plant parasitic nematodes that gives this indication. The effects of conversion on soil biological functioning were significant relatively late (≥ 11 years) after the change of practices. Moreover, the study of the functional diversity of nematodes shows that the soil remained disturbed in the organic as in the conventional system (no increasing complexity of the soil food web measured by the structure index)