Abstract:
Large amplitude ion-acoustic and electron-acoustic waves in an unmagnetized multi-component plasma system consisting of cold background electrons and ions, a hot electron beam and a hot ion beam are studied using Sagdeev pseudo-potential technique. Three types of solitary waves, namely, slow ion-acoustic, ion-acoustic and electron-acoustic solitons are found provided the Mach numbers exceed the critical values. The slow ion-acoustic solitons have the smallest critical Mach numbers, whereas the electron-acoustic solitons have the largest critical Mach numbers. For the plasma parameters considered here, both type of ion-acoustic solitons have positive potential whereas the electron-acoustic solitons can have either positive or negative potential depending on the fractional number density of the cold electrons relative to that of the ions (or total electrons) number density. For a fixed Mach number, increases in the beam speeds of either hot electrons or hot ions can lead to reduction in the amplitudes of the ion-and electron-acoustic solitons. However, the presence of hot electron and hot ion beams have no effect on the amplitudes of slow ion-acoustic modes. Possible application of this model to the electrostatic solitary waves (ESWs) observed in the plasma sheet boundary layer is discussed.

Abstract:
This paper investigates the influence that a nonuniform gravitational field has on the dynamics of a space robot. This is accomplished by obtaining the differential equations of motion of the space robot using three gravitational field potential approximations: a uniform field approximation, a zeroth-order Taylor series expansion of the field about the center of mass of each body, and a second-order binomial series expansion of the gravitational field. The three models are then simulated in a free-fall from identical initial conditions. The results indicate that a zeroth-order series expansion of the gravitational field about the center of mass of each body provides a sufficiently high degree of accuracy without resulting in a significant computational burden.

Abstract:
In this paper, we present simultaneous observations of temporal and spatial variability of total electron content (TEC) and GPS amplitude scintillations on L1 frequency (1.575 GHz) during the time of equatorial spread F (ESF) while the MST radar (53 MHz) located at Gadanki (13.5° N, 79.2° E, Dip latitude 6.3° N), a low latitude station, made simultaneous observations. In particular, the latitudinal and longitudinal extent of TEC and L-band scintillations was studied in the Indian region for different types of ESF structures observed using the MST radar during the low solar activity period of 2004 and 2005. Simultaneous radar and GPS observations during severe ESF events in the pre-midnight hour reveal that significant GPS L band scintillations, depletions in TEC, and the double derivative of the TEC index (DROTI), which is a measure of fluctuations in TEC, obtained at low latitudes coincide with the appearance of radar echoes at Gadanki. As expected, when the irregularities reach higher altitudes as seen in the radar map during pre-midnight periods, strong scintillations on an L-band signal are observed at higher latitudes. Conversely, when radar echoes are confined to only lower altitudes, weak scintillations are found and their latitudinal extent is small. During magnetically quiet periods, we have recorded plume type radar echoes during a post-midnight period that is devoid of L-band scintillations. Using spectral slopes and cross-correlation index of the VHF scintillation observations, we suggest that these irregularities could be "dead" or "fossil" bubbles which are just drifting in from west. This scenario is consistent with the observations where suppression of pre-reversal enhancement (PRE) in the eastward electric field is indicated by ionosonde observations of the height of equatorial F layer and also occurrence of low spectral width in the radar observations relative to pre-midnight period. However, absence of L-band scintillations during post-midnight event, when radar observed plume like structures and scintillations were recorded on VHF band, raises questions about the process of evolution of the irregularities. A possible explanation is that whereas small scale (~3 m) irregularities are generated through secondary waves that grow on the walls of km scale size irregularities, in this case evolution of the Rayleigh-Taylor instability itself did not extend to irregularities of scale sizes of a few hundred meters that produce scintillation on a L-band signal.

Abstract:
A study of the spatial and temporal changes in land use and land cover (LULC) was conducted using Remote Sensing and GIS. We analyzed the LULC of Bharathapuzha river basin, south India using multispectral LANDSAT imageries of 1973-2005 time periods. 31% depletion in the natural vegetation cover and 8.7% depletion in wetland agriculture area were seen in the basin during the period. On the other hand the urban spread in the basin increased by 32%. The study highlights the need for a scientific management plan for the sustainability of the river basin, keeping in view the recent climatic anomalies and hydrological conditions of the basin.

Abstract:
Baseline morphometric information at a sub basin level is essential to develop appropriate strategy for sustainable, socially acceptable, ecologically benign and economically viable development of a river basin. The present study was carried out in one of the less studied Bharathapuzha river basin (BRB), the second longest river in the state of Kerala, India. The annual discharge of the river is 3.94 km3. Nevertheless the basin, which receives about 1828 mm of annual rainfall, in recent years has been facing dearth of water. We used GIS and RS tools to study the morphometric characteristics of the basin. The seventh order main river is formed by several lower order streams forming a dentritic flow pattern. Basin geology, slope and rainfall pattern in the basin determine the morphometric characteristics of the basin. The linear aspects of the basin including stream length ratio and bifurcation ratio indicate the role of relief in the basin while the areal ratios indicate the elongate nature of the basin.

Abstract:
Let G be a graph with p vertices and q edges and let A= vertex labeling is said to
be a vertex equitable labeling of G if it induces an edge labeling given by such that and , where is the number of vertices v with for A graph G is said to be a vertex equitable graph if it admits vertex equitable labeling. In this paper, we establish the vertex equitable labeling of a Tp-tree, where T is a Tp-tree with even number of vertices, bistar the caterpillar and crown

Recently the new unique
classes of hyperbolic functions-hyperbolic
Fibonacci functions based on the “golden ratio”, and hyperbolic Fibonacci l-functions based on the “metallic
proportions” (l is a given natural number), were introduced in mathematics. The principal
distinction of the new classes of hyperbolic functions from the classic hyperbolic
functions consists in the fact that they have recursive properties like the
Fibonacci numbers (or Fibonacci l-numbers), which are “discrete” analogs of
these hyperbolic functions. In the classic hyperbolic functions, such relationship with integer
numerical sequences does not exist. This unique property of the new hyperbolic
functions has been confirmed recently by the new geometric theory of
phyllotaxis, created by the Ukrainian researcherOleg
Bodnar(“Bodnar’s hyperbolic geometry). These new hyperbolic functions underlie the original
solution of Hilbert’s Fourth Problem (Alexey Stakhov and Samuil Aranson). These
fundamental scientific results are overturning our views on hyperbolic
geometry, extending fields of its applications (“Bodnar’s hyperbolic geometry”)
and putting forward the challenge for theoretical natural sciences to search
harmonic hyperbolic worlds of Nature. The goal of the present article is to
show the uniqueness of these scientific results and their vital importance for
theoretical natural sciences and extend the circle of readers. Another
objective is to show a deep connection of the new results in hyperbolic
geometry with the “harmonic ideas” of Pythagoras, Plato and Euclid.

This work studied CuO/CeO_{2}-Co_{3}O_{4} with wt% Ce:Co ratio 95:5 for selective CO oxidation with effect of wt% Cu loading.The catalysts were prepared by co-precipitation. Characterizations of catalysts were carried out by XRD and BET techniques. The results showed a good dispersion of CuO for 5 wt% Cu loading catalysts and showed high specific surface area of catalyst. For selective CO oxidation, both 5CuO and 30CuO catalysts could remove completely CO in the presence of excess hydrogen at 423 K and 20CuO could eliminate CO completely at 443 K. Moreover, considering the selectivity to CO oxidation, the 5CuO catalyst has shown the highest selectivity of 85% while the 30CuO catalyst obtains the selectivity of 65% at the reaction temperature of 423 K.

We give a survey on the history, the main mathematical results and
applications of the Mathematics of Harmony as a new interdisciplinary direction
of modern science. In its origins, this direction goes back to Euclid’s “Elements”. According to “Proclus hypothesis”, the main goal of Euclid was to create a full
geometric theory of Platonic solids, associated with the ancient conception of the“Universe Harmony”. We consider the main periods in the development of the “Mathematics of
Harmony” and its main mathematical results: algorithmic measurement theory,
number systems with irrational bases and their applications in computer science,
the hyperbolic Fibonacci functions, following from Binet’s formulas, and the hyperbolic
Fibonacci l-functions (l = 1, 2, 3, …), following from Gazale’s formulas, and their applications for hyperbolic
geometry, in particular, for the solution of Hilbert’s Fourth Problem.