Abstract:
In this paper, we propose a refinement in the analytical definition of the s_{2}-convex classes of functions aiming to progress further in the direction of including s_{2}-convexity properly in the body of Real Analysis.

Abstract:
The temple entry movement of the 1920s and ’30s in Kerala, South India, has become a landmark in the history of social reform and nationalist movements for its uniqueness and sweeping success. Popular history has presented the episode as an integral part of the Nationalist Movement and the Gandhian Constructive Programme mainly because the temple-entry issue was endorsed by the Kerala State Congress Committee and the agitation was concluded under its auspices. But this popular and idealist impression of the movement has been challenged from various quarters. It is pointed out that there have been very little attempts at linking the event with the advancing civic rights movement led by the lower caste people for freedom of worship and social equality which was gaining a radical turn by the 20s and 30s; the pressure exerted by the untouchables to achieve civic freedom even at the cost of renouncing Hinduism had created an alarming situation which no caste-Hindu could ignore. Even more surprising is the absence of academic attempts to link the agitation with the Malabar Rebellion of 1921; in fact the Rebellion had challenged the very survival of the Congress organization in Kerala; this factor forced them to retreat from the earlier secular plane to a religious idiom of politics for which the question of temple-entry served their purpose. The Temple entry movement, therefore, has to be studied in the light of the antipathy shown by the Congress towards popular and radical agitations and in the context of its growing tendency to incline towards Hindu symbols in politics as a means to escape addressing vital and burning social issues.

In this note, we analyze a few major claims about . As a consequence, we
rewrite a major theorem, nullify its proof and one remark of importance, and
offer a valid proof for it. The most important gift of this paper is probably
the reasoning involved in all: We observe that a constant, namely t, has been changed into a variable, and
we then tell why such a move could not have been made, we observe the
discrepancy between the claimed domain and the actual domain of a supposed
function that is created and we then explain why such a function
could not, or should not, have been created, along with others.

Abstract:
In this note, we discuss the definition of the S_{1}-convexity Phenomenon. We first make use of some
results we have attained for？？ in the past, such as those contained in[1], to refine the
definition of the phenomenon. We then observe that easy counter-examples to the
claim extends K_{0} are found. Finally, we make use of one theorem from[2] and a new theorem
that appears to be a supplement to that one to infer that？ does not properly extend K_{0} in both its original and its
revised version.

Abstract:
In cascaded H-bridge
multilevel inverter, a variable frequency inverted sine PWM technique is
modeled for hybrid electric vehicles. It has a particular advantage of
increasing power which is achieved using series connection of H-bridge and also
this topology is capable to produce superior spectral quality with considerable
improvement of fundamental voltage. The variable frequency inverted sine PWM
technique produces lesser torque ripple and enhances the fundamental output
voltage mainly at lower modulation index ranges. The topologies of multilevel
inverter are flying capacitor, diode clamped and cascaded inverter. In the
paper, we will discuss about the cascaded multilevel inverter based on inverted
sine PWM technique. The two switching strategies widely used to control
multilevel inverters are constant frequency inverted sine PWM (CF-ISPWM) and
variable frequency inverted sine PWM (VF-ISPWM). This implies that switch
utilization substantially reduces 32.35% of the constant frequency inverted
sine PWM switching technique. The performance of the technique is validated in
terms of Total Harmonic Distortion (THD) and Torque ripple which significantly
reduces when compared to constant frequency ISPWM. The analysis of conventional
triangular PWM inverter and inverted sine PWM inverter using constant and
variable switching scheme is done in MATLAB Simulink and verified
experimentally by FPGA Spartan 3E processor.

Abstract:
Randić energy was first defined in the paper [1]. Using minimum covering set, we have introduced the minimum covering Randić energy RE_{C} (G) of a graph G in this paper. This paper contains computation of minimum covering Randić energies for some standard graphs like star graph, complete graph, thorn graph of complete graph, crown graph, complete bipartite graph, cocktail graph and friendship graphs. At the end of this paper, upper and lower bounds for minimum covering Randić energy are also presented.

Abstract:
In this paper, we compute Atom-bond connectivity index, Fourth atom-bond connectivity index, Sum connectivity index, Randic connectivity index, Geometric-arithmetic connectivity index and Fifth geometric-arithmetic connectivity index of Dutch windmill graph.

Abstract:
The modelling results from numerical simulations of the Early Cretaceous, Mannville coal measures with anisotropic permeability provide insights into development strategies not readily visualized or otherwise intuitive. The complex relationships between water and gas production, the contribution from multiple coal seams as well as from organic rich shales, and the impact of well interference combined with anisotropic fracture permeability are investigated through a series of numerical simulations of four well-pads (on the corners of a square mile of land with decreasing well spacing from 1, 3, to 4 laterals per pad). After 25 years of production, the two pads with optimally-oriented laterals with respect to the fracture permeability anisotropy produce 61% of the recovered gas for the 1 lateral/pad model, 52% for the 3 laterals/pad model, and 50% for the 4 laterals/pad model. Downspacing has a greater impact on increasing the gas production from pads with the poorly-oriented main laterals than from the pads with the optimally-oriented main laterals. The cumulative gas production at the end of the 25 year history is 4.2% higher for an optimally-oriented pad (pad1) and 1.1× higher for a poorly-oriented pad (pad3) for a model with 4 laterals/pad than 3 laterals/pad and an optimally-oriented pad is 1.1% higher for an optimally-oriented pad and 1.5× higher for a poorly-oriented pad for a model with 3 laterals/pad than 1 lateral/pad. Although downspacing from 3 to 4 laterals/pad has a greater impact on increasing the cumulative gas production from optimally-oriented pads than downspacing from 1 to 3 laterals/pad, the lower impact on poorly-oriented pads results in a lower total increase the cumulative gas production from the four pads. At the end of the 25-year production history, 9.0% more gas is recovered for the 4 lateral/pad model than the 3 lateral/pad model, which predicts 1.2× more gas than the 1 lateral/pad model. The recovered shale gas exceeds the recovered coal gas after ~7 years of production. The higher contribution of produced coal gas predicted due to downspacing results from a higher contribution of recovered gas from the main coal seam, while the contribution from the minor coal seams is lower. Downspacing has a minimal impact on the cumulative water production; after 25 years of production a difference of 1.0% is predicted between models with 4 and 3 laterals/pad and 1.7% between models with 1 and 3 laterals/pad. While downspacing increases the cumulative water production for the poorly-oriented pads (1.1× for 3 to 4 laterals/pad and 1.3× for

Abstract:
This paper proposes a new secure e-voting protocol. This new scheme does not require a special voting channel and communication can occur entirely over the existing Internet. This method integrates Internet convenience and cryptology. In the existing protocols either the tallier has to wait for the decryption key from voter till the voting process is over or the verification process has to wait until the election is over. But in the proposed single transaction voting protocol the entire voting process as well as the verification process is done as a single transaction compared to multiple transactions in the existing protocol. The advantage of single transaction is that it consumes less time that results in overall speeding up the voting process. It is shown that the proposed scheme satisfies the more important requirements of any e-voting scheme: completeness, correctness, privacy, security and uniqueness. Finally, the proposed protocol is compared with the existing protocols such as Simple, Two Agency, Blind Signatures and sensus protocols.

Abstract:
One of the most important factors affecting the precision of the performance of a GPS receiver is the relative positioning of satellites to each other. Therefore, it is essential to choose appropriate accessible satellites utilized in the calculation of GPS positions. Optimal subsets of satellites are determined using the least value of their Geometric Dilution of Precision (GDOP). The most correct method of calculating GPS GDOP uses inverse matrix for all combinations and selecting the lowest ones. However, the inverse matrix method, especially when there are so many satellites, imposes a huge calculation load on the processor of the GPS navigator. In this paper, the rapid and precise calculation of GPS GDOP based on Recurrent Wavelet Neural Network (RWNN) has been introduced for selecting an optimal subset of satellites. The method of NNs provides a realistic calculation approach to determine GPS GDOP without any need to calculate inverse matrix.