In a bivariate data plot, every two points determine an “elementary slope.” For n points with distinct x-values, there are n(n – 1)/2 elementary slopes. These elementary slopes are examined under the two classical regression assumptions: (1) the regressor variable values are fixed and the error is independent and normal, and (2) the data is bivariate normal. For case (1), it is demonstrated tha...

For each prime number p which does not divide N there is a linear operator Tp acting on Sk(N,C), known as the p-th Hecke operator. (In fact, the Tp stabilize Sk(N,Q).) A modular form which is an eigenvector for all of these linear operators simultaneously is called an eigenform; the space Sk(N,C) has a basis made up of eigenforms, and the Fourier coefficients of these eigenforms can be normaliz...

Abstract The condition of Ciawi – Sukabumi Toll Road section 2 has various topographies with difference elevation. To get a safe and comfortable road alignment, cut fill works are carried out. During the landfill work at STA.18 + 700 900 landslides occurred on slopes. ensure that slope conditions during service period, redesign bodies is out to produce slopes safety factor value (SF) ≥ 1.25 (Bo...

In open pit mines, the slope stability of benches, inter-ramps, and overall is vital not only for economy extraction process but also safety personnel equipment. Geological discontinuities, geometry, other factors can induce different failure modes in hard rock masses such as planar, wedge sliding, toppling. Hence, analysis must be carried out carefully using a suitable technique by considering...

classification and utilization of lands based on their capability are necessary for sustainable land use management. the purpose of this study was to identify and grade the effective qualities on the rainfed farming in the roin area, north khorasan province, during the year of 2011. based on field observations and literature review the land qualities including climate, rooting conditions, moist...

Opencast mining method is one of the most productive methods available at present, which generally associated with removal and handling a huge amount overburden material. Hence it imposes serious challenge dump slope stability that too, mainly in case internal dumps. The study primarily focused on dragline dumps subsequent development rating system to classify profiles. Initially, numerical sim...

This article seeks to reframe the ethical discussion of genetic enhancement, which is the use of genetic engineering to supply a characteristic that a parent might want in a child that does not involve the treatment or prevention of disease. I consider whether it is likely that enhancement can be successfully prohibited. If genetic enhancement is feasible, it is likely that there will be demand...

Phase separation in a polymer dispersed liquid crystal (PDLC), consisting of a main chain liquid crystal (E7) and polymethyl methacryhte (PMMA), was studied by means of light scattering and optical microscopy. The PMMAm mixture exhibits an upper critical solution temperature (UCST), overlapping with a nematic-isotropic transition of the E7 liquid crystal. Several temperature quenches were under...

The paper presents the impact of irregular rainfall events triggering landslides in the regional context of landslides in Hungary. The author’s experience, gathered from decades of observations, confirms that landslide processes are strongly correlate with precipitation events in all three landscape types (hill regions of unconsolidated sediments; high bluffs along river banks and lake shores; ...