The aim of this paper is to prove a theorem on the Riesz means of expansions with respect to Riesz bases, which extends the previous results of [1] and [2] on the Schrödinger operator and the ordinary differential operator of 4-th order to the operator of order 2m by using the eigen functions of the ordinary differential operator. Some Symbols that used in the paper: the uniform norm. <,> the inner product in L2. G the set of all boundary elements of G. ˆ u the dual function of u.
In this study, gold nanoparticles (AuNPs) were synthesized using a plasma jet system at different exposure times. Using ultraviolet, visible spectra, X-ray diffraction, the nanoparticles were characterized (XRD). A Plasmon surface resonance concentrated at 530, 540, and 533 nm for the prepared AuNPs. The pattern of XRD showed that the extreme peaks of the film reflect crystalline existence. The face-centered cubic structure of the gold nanoparticles was prepared for all samples, with an average crystallite size of 25-40 nm. The effect of AuNPs in vivo on liver function levels was measured. For all doses, we notice an increase in the ranks of liver function in the blood during the period of dosing, and it begins to decrease when the dosi
... Show MoreSmoking have a direct and indirect effects on some organs of the body, this effect is duo to inhaled the smoke and reach the alveoli and in to pulmonary veins. The main objective of this study, to investigate the changes in liver enzymes Alanine aminotransferase(ALT), Aspartate aminotransferase(AST) and Alkaline phosphatase(ALP) and electrolytes like(K+, Na+, Fe+2, Ca+2,Cl- and Po4 -3) in male smokers. In this study collect of (100) blood samples from male smokers and divided in to (3) groups according to period of smoking, and compare with (40) nonsmoker persons (group 4), the age groups are between (25-40) year, in a period between (November 2015-April 2016), within the district of Baqubah in Diyala governorate .The results show increa
... Show MoreIn this paper, several types of space-time fractional partial differential equations has been solved by using most of special double linear integral transform â€double Sumudu â€. Also, we are going to argue the truth of these solutions by another analytically method “invariant subspace methodâ€. All results are illustrative numerically and graphically.
The main goal of this paper is to show that a
-arc in
and
is subset of a twisted cubic, that is, a normal rational curve. The maximum size of an arc in a projective space or equivalently the maximum length of a maximum distance separable linear code are classified. It is then shown that this maximum is
for all dimensions up to
.
In this work, we give an identity that leads to establishing the operator . Also, we introduce the polynomials . In addition, we provide Operator proof for the generating function with its extension and the Rogers formula for . The generating function with its extension and the Rogers formula for the bivariate Rogers-Szegö polynomials are deduced. The Rogers formula for allows to obtain the inverse linearization formula for , which allows to deduce the inverse linearization formula for . A solution to a q-difference equation is introduced and the solution is expressed in terms of the operators . The q-difference method is used to recover an identity of the operator and the generating function for the polynomials
... Show MoreThis study was performed by using the unsaturated polyester resin as matrix to the
composite materials with the rice husk as reinforced materials . The research included study
of wear test on the composite material The results show that the, wear is increased with the
increase of applied load and distance slipping and also with time increase . moreover the
shows that the higher value wear rate( 1.91gm/cm) from the load (20) N and the higher value
wear rate (1.43gm/cm) from the higher distance (4cm) and from the higher time (6min) higher
wear rate (5.33gm/cm).
Abstract: Stars whose initial masses are between (0.89 - 8.0) M☉ go through an Asymptotic Giant Branch (AGB) phase at the end of their life. Which have been evolved from the main sequence phase through Asymptotic Giant Branch (AGB). The calculations were done by adopted Synthetic Model showed the following results: 1- Mass loss on the AGB phase consists of two phases for period (P <500) days and for (P>500) days; 2- the mass loss rate exponentially increases with the pulsation periods; 3- The expansion velocity VAGB for our stars are calculated according to the three assumptions; 4- the terminal velocity depends on several factors likes metallicity and luminosity. The calculations indicated that a super wind phase (S.W) developed on the A
... Show MoreRadiotherapy is medical use of ionizing radiation, and commonly applied to the
cancerous tumor because of its ability to control cell growth.
The amount of radiation used in photon radiation therapy called dose (measured
in grey unit), which depend on the type and stage of cancer being treated.
In our work, we studied the dose distribution given to the tumor at different
depths (zero-20 cm) treated with different field size (4×4- 23×23 cm).
Results show that the deeper treated area has less dose rate at the same beam
quality and quantity. Also it has been noted increasing in the field increasing in the
depth dose at the same depth even if the radiation energy is constant. Increasing in
radiation dose attribut