Langerhans cells histiocytosis (LCH) is a disease caused by the proliferation and abnormal accumulation of Langerhans cells in different tissues and organs. It is a rare disease that still hides many of its mysteries as to its etiology and pathophysiology. The cerebral localization remains exceptional and dominated by hypothalamic-pituitary axis involvement. We report a case of a 20-year-old patient followed for acquired central diabetes insipidus with Panhypopituitarism and multiple dermatological lesions, who recently had visual acuity decline with progressive cerebellar syndrome in a state of apyrexia. Brain MRI showed multiples scattered plaques and nodular lesions involving the periventricular white matter, the basal ganglia, cerebellum, brainstem and cervical medulla. The two diagnoses suggested in this clinical presentation sarcoidosis with pituitary localization and cerebral Langerhans cells histiocytosis. A skin biopsy confirmed the diagnosis of langherans cell histiocytosis.

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:
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,

Abstract:
Rain attenuation values were calculated using empirical raindrop-size distributions, which were, Marshall-Palmer (M-P), Best, Polyakova-Shifrin (P-S) and Weibull raindrop-size distributions, and also calculated using a specific rain attenuation model for prediction methods recommended by ITU-R. Measurements of Terahertz wave taken at 313 GHz (0.96 mm) were compared with our calculations. Results showed that the propagation experiment was in very good agreement with a calculation from the specific attenuation model for use in prediction methods by ITU-R.

Abstract:
If are the eigen values of a p-vertex graph , the energy of is . If , then is said to be hyperenergetic. We show that the Frucht graph, the graph used in the proof of well known Frucht’s theorem, is not hyperenergetic. Thus showing that every abstract group is isomorphic to the automorphism group of some non-hyperenergetic graph. AMS Mathematics Subject Classification: 05C50, 05C35

Abstract:
The optimum ferrite can be obtained through free-microstructural defects where such defects are always encountered in the conventional ferrites often caused by chemical inhomogeneity. In this study, Ni-Zn ferrite was synthesized and fabricated by means of a sol-gel route. Thermal gravimetric analysis (TGA) was used to study the thermal transforma-tion of the ferrite in air. Parts of the sol-gel powder heated at elevated temperatures were characterized by X-ray dif-fraction (XRD) method and Scanning Electron Microscopy (SEM) to reveal the crystallized single-phase and the struc-ture of the obtained ferrite. Fourier transform infrared spectroscopy (FT-IR) was assisted to investigate the structure. The microstructures of the toroidal cores were obtained at two different sintering temperatures and compared with those obtained via the classic method. In addition to that, the magnetic properties were measured. The initial magnetic permeability was found to increase with the increasing of the frequency as a result of the domain wall motions and the corresponding loss was small. Therefore, a well defined polycrystalline microstructure ferrite via an easier preparation methodology as compared to the classic method is obtained.

Abstract:
Although the application of Symmetrical Components to time-dependent variables was introduced by Lyon in 1954, for many years its application was essentially restricted to electric machines. Recently, thanks to its advantages, the Lyon transformation is also applied to power network calculation. In this paper, time-dependent symmetrical components are used to study the dynamic analysis of asymmetrical faults in a power system. The Lyon approach allows the calculation of the maximum values of overvoltages and overcurrents under transient conditions and to study network under non-sinusoidal conditions. Finally, some examples with longitudinal asymmetrical faults are illustrated.