Krawtchouk polynomials (KPs) and their moments are promising techniques for applications of information theory, coding theory, and signal processing. This is due to the special capabilities of KPs in feature extraction and classification processes. The main challenge in existing KPs recurrence algorithms is that of numerical errors, which occur during the computation of the coefficients in large polynomial sizes, particularly when the KP parameter (p) values deviate away from 0.5 to 0 and 1. To this end, this paper proposes a new recurrence relation in order to compute the coefficients of KPs in high orders. In particular, this paper discusses the development of a new algorithm and presents a new mathematical model for computing the

In this paper, a computer simulation is implemented to generate of an optical aberration by means of Zernike polynomials. Defocus, astigmatism, coma, and spherical Zernike aberrations were simulated in a subroutine using MATLAB function and applied as a phase error in the aperture function of an imaging system. The studying demonstrated that the Point Spread Function (PSF) and Modulation Transfer Function (MTF) have been affected by these optical aberrations. Areas under MTF for different radii of the aperture of imaging system have been computed to assess the quality and efficiency of optical imaging systems. Phase conjugation of these types aberration has been utilized in order to correct a distorted wavefront. The results showed that

Leishmaniasis diseases constitute an important public health problem in both tropical and subtropical areas. The aim of this study is to evaluate the epidemiological situation of cutaneous leishmaniasis (CL) in Babylon province, Iraq. The current work included the recording of 142 new cases of CL infection in Babylon province for the period from November 2019 to February 2020. Male infection was represented by 87 cases (61.27%), while females composed 55 samples (38.73%), with a significant difference (p<0.05) between the two groups. The age group of 5-14 years was found to have the highest recorded CL cases  (56; 39.44%), while the age group of less than one year had the lowest  cases  (1; 0.70%), with the differences

Exposure assays to magnetized water have so far revealed striking results. The present study was conducted to determine the effects of magnetized water treatment with in different intensities 500 , 1000 and 1500 Gauss on some biological aspects for species of freshwater Gastropod Lymnaea lagotis (Schrank, 1803) which important species in faun of aquatic habitats of Iraq. This species are considered a component of the food chain. The obtained results compared with these species which lived in the river(control). Result of these experiments showed increased significance the shell size (shell high, shell aperture length, shell aperture width and shell width) for L. lagotis with increased intensity magnetized water such as treated water with 1

      In this work, a weighted H lder function that approximates a Jacobi polynomial which solves the second order singular Sturm-Liouville equation is discussed. This is generally equivalent to the Jacobean translations and the moduli of smoothness. This paper aims to focus on improving methods of approximation and finding the upper and lower estimates for the degree of approximation in weighted H lder spaces by modifying the modulus of continuity and smoothness. Moreover, some properties for the moduli of smoothness with direct and inverse results are considered.

Lipopolysaccharide (LPS) of Campylobacter coli was extracted using digestive enzyme and hot phenol water method. Anti-LPS was prepared by injecting rabbits with different concentration of LPS. The result showed that the titer of anti-LPS antibodies using precipitation test is 40, the result also showed Histopathological effect of partial pure LPS. It was found that the LPS caused slightly effect represent as intestinal villi atrophy and aggregation of hyperplasia of lymphocyte cells payers patch, while effect on liver was sinusoids dilation with few inflammation cell infiltration, congestion and dispersed necrotized hepatocyte. Also we found effects on spleen cell as widening of white and red pulp, diffused hyperplasia of lymphoid cells and

The present investigation revealed cytological variations for six species (Eruca sativa, Sisymbirium irio, Diplotaxis harra, Erucaria hispanica, Schimpera Arabica and Brassica tournefortii ) belong to the Brassicaceaefamily.The flower buds were collected from Al-Habania lake that located in Al-Anbar-Iraq. Using iron-acetocarmine squash technique in anther-smear studies which revealed a chromosomal anomalies such as Lagging/brddge chromosomes, Micronuclei & initiated delay of four daughter cells.The frequency of abnormalities ranged (0.04 - 0.77%) which indicated the unstable heredity source of most wildplants. The pollen grains viability was estimated using acetocarmine stain, viable grains had stained, while sterile grains had not.T

The present investigation revealed cytological variations for six species (Eruca
sativa, Sisymbirium irio, Diplotaxis harra, Erucaria hispanica, Schimpera Arabica
and Brassica tournefortii ) belong to the Brassicaceaefamily.The flower buds were
collected from Al-Habania lake that located in Al-Anbar-Iraq. Using ironacetocarmine
squash technique in anther-smear studies which revealed a
chromosomal anomalies such as Lagging/brddge chromosomes, Micronuclei &
initiated delay of four daughter cells.The frequency of abnormalities ranged (0.04 -
0.77%) which indicated the unstable heredity source of most wildplants. The pollen
grains viability was estimated using acetocarmine stain, viable grains had stained,while st

L’Enfer est un roman de chambre par excellence. Tous les événements s'y sont presque déroulés. Le sujet de ce roman se résume: un jeune homme quitte la campagne pour vivre à Paris .Il loue une chambre dans un hôtel. Il tombe, par un pur hasard, sur une fente dans le mur de sa par laquelle chambre il peut voir tout ce qui se passe dans la chambre voisine .L'histoire racontée par ce narrateur, est la vie intime des couples venant dans cette chambre. Il médite sur sa propre condition à la lumière de ce qui se déroule dans la chambre voisine .C'est pour cette raison,que le roman se caractérise par une stabilité.Quoi qu’elle soit manifeste, le héros démontre une mobilité à son niveau psychique. Car il y a une évolution