Abstract:
Multiferroic BiFe_{1-x}Cr_{x}O_{3} (x = 0.2 and 0.4) ceramics were synthesized in a single phase. The effects of
Cr^{3+} substitution on the crystal structure, dielectric permittivity
and leakage current were investigated. Preliminary X-ray structural studies
revealed that the samples had a rhombohedral perovskite crystal structure. The
dielectric constant ε' significantly increased
while the dielectric loss tanδ was substantially
decreased with the increase in Cr^{3+} substitution. The temperature
effect on the dielectric properties exhibited an anomaly corresponding to
magneto-electric coupling in the samples and was shifted to lower temperatures
with the increase in Cr^{3+} substitution. The leakage current density also
reduced in magnitude with the increase in the Cr^{3+} substitution.

Abstract:
Let be an injective function. For a vertex labeling f, the induced edge labeling is defined by, or ; then, the edge labels are distinct and are from . Then f is called a root square mean labeling of G. In this paper, we prove root square mean labeling of some degree splitting graphs.

Abstract:
We investigate the FFT (Fast Fourier Transform) model and G-CSF (granulocyte colony-stimulating factor) treatment of CN (Cyclical Neutropenia). We collect grey collies and normal dog’s data from CN and analyze the G-CSF treatment. The model develops the dynamics of circulating blood cells before and after the G-CSF treatment. This is quite natural and useful for the collection of laboratory data for investigation. The proposed interventions are practical. This reduces the quantity of G-CSF required for potential maintenance. This model gives us good result in treatment. The changes would be practical and reduce the risk side as well as the cost of treatment in G-CSF.

Aminoguanidine
lanthanide thiodipropionate hydrates of composition [Ln(Agun)_{2}(tdp)_{3}·nH_{2}O], Agun = Aminoguanidine, tdp =
thiodipropionic acid, where Ln = La, Pr, Nd and Sm if n = 2, have been prepared and characterized by physic-chemical
techniques.

Abstract:
Restructured electric market environment allows the power wheeling transactions between the power producers and customers to meet the growing load demand. This will lead to the possible of congestion in the transmission lines. The possible contingencies of power components further worsen the scenario. This paper describes the methodology for the identification of critical transmission line by computing the real power and reactive power performance indices. It also demonstrates the importance of fuzzy logic technique used to rank the transmission lines according to the severity and demonstrated on IEEE-30 bus system.

Abstract:
In scaled CMOS processes,
the single-event effects generate missing output pulses in Delay-Locked Loop
(DLL). Due to its effective sequence detection of the missing pulses in the
proposed Error Correction Circuit (ECC) and its portability to be applied to
any DLL type, the ECC mitigates the impact of single-event effects and
completes its operation with less design complexity without any concern about losing
the information. The ECC has been implemented in 180 nm CMOS process and
measured the accuracy of mitigation on simulations at LETs up to 100 MeV-cm^{2}/mg.
The robustness and portability of the mitigation technique are validated
through the results obtained by implementing proposed ECC in XilinxArtix 7
FPGA.

Abstract:
Power generation becomes the need of developed, developing and under developed countries to meet their increasing power requirements. When affordability increases their requirement of power increases, this happens when increased per capita consumption. The existing power scenario states that highest power is produced using firing of coals called thermal energy. A high efficiency Switched Reluctance Generator (SRG) based high frequency switching scheme to enhance the output for grid connectivity is designed, fabricated and evaluated. This proposed method generates the output for the low wind speed. It provides output at low speed because of multi-level DC-DC converter and storage system. It is an efficient solution for low wind power generation. The real time readings and results are discussed.

Abstract:
In this paper, we will derive the following formula for the value of the gravitational constant G: (1). This equation has only 0.81% error compared to the common accepted value [1]. The parameters in the equation are the following: the fine structure constant, qthe elementary charge, the mass of the electron, the permittivity of the free space, ethe exponential function and the relation between a circumference and its diameter. Values attached:[2],

Abstract:
The fine-structure constant α [1] is a constant in physics that plays a fundamental role in the electromagnetic interaction. It is a dimensionless constant, defined as: (1)
being q the elementary charge, ε0 the vacuum permittivity, h the Planck constant and c the speed of light in vacuum. The value shown in (1) is according CODATA 2014 [2].
In this paper, it will be explained that the fine-structure constant is one of the roots of the following equation: (2)
being e the mathematical constant e (the base of the natural logarithm). One of the solutions of this equation is: (3)
This means that it is equal to the CODATA value in nine decimal digits (or the seven most significant ones if you prefer). And therefore, the difference between both values is: (4)
This coincidence is higher in orders of magnitude than the commonly accepted necessary to validate a theory towards experimentation.
As the cosine function is periodical, the Equation (2) has infinite roots and could seem the coincidence is just by chance. But as it will be shown in the paper, the separation among the different solutions is sufficiently high to disregard this possibility.
It will also be shown that another elegant way to show Equation (2) is the following (being i the imaginary unit): (5)
having of course the same root (3). The possible meaning of this other representation (5) will be explained.

Abstract:
In the history of mathematics
different methods have been used to detect if a number is prime or not. In this
paper a new one will be shown. It will be demonstrated that if the following
equation is zero for a certain number p,
this number p would be prime. And
being m an integer number higher than (the lowest, the most efficient the operation). . If the result is an integer, this result will tell
us how many permutations of two divisors, the input number has. As you can
check, no recurrent division by odd or prime numbers is done, to check if the
number is prime or has divisors. To get to this point, we will do the
following. First, we will create a domain with all the composite numbers. This
is easy, as you can just multiply one by one all the integers (greater or equal
than 2) in that domain. So, you will get all the composite numbers (not getting
any prime) in that domain. Then, we will use the Fourier transform to change
from this original domain (called discrete time domain in this regards) to the
frequency domain. There, we can check, using Parseval’s theorem, if a certain
number is there or not. The use of Parseval’s theorem leads to the above
integral. If the number p that we
want to check is not in the domain, the result of the integral is zero and the
number is a prime. If instead, the result is an integer, this integer will tell
us how many permutations of two divisors the number p has. And, in consequence information how many factors, the number p has. So, for any number p lower than 2m？- 1, you can check if it is prime or not, just making the
numerical definite integration. We will apply this integral in a computer
program to check the efficiency of the operation. We will check, if no further
developments are done, the numerical integration is inefficient computing-wise
compared with brute-force checking. To be added, is the question regarding the
level of accuracy needed (number of decimals and number of steps in the
numerical integration) to have a reliable result for large numbers. This will
be commented on the paper, but a separate study will be needed to have detailed
conclusions. Of course,