The search is an application for one of the problems of mathematics in the computer; as providing construction and design of a major program to calculate the inverse permutations of the symmetric group Sn , where 1 ≤ n ≤ 13; using some of the methods used in the Number Theory by computer . Also the research includes design flow chart for the main program and design flow chart for the program inverse permutations and we give some illustrative examples for different symmetric groups and their inverse permutations.

   In this paper, we find the two solutions of two dimensional stochastic Fredholm integral equations contain two gamma processes differ by the parameters in two cases and equal in the third are solved by the Adomain decomposition method. As a result of the solutions probability density functions and their variances at the time t are derived by depending upon the maximum variances of each probability density function with respect to the three cases. The auto covariance and the power spectral density functions are also derived. To indicate which of the three cases is the best, the auto correlation coefficients are calculated.

The present study conducted on 30 female patients with osteoarthritis 0A a
attending Baghdad teaching hosp ital, in addition to 30 healthy females , all subjects
were ( 35-65) years old.
Some biochemical parameters were measured in the sera of patients and healthy
group s. The parameters were Glutathione (GSH). Ceruloplasmin (Cp) and some trace
elements ,including Copper (Cu) ,Cu/ Cp ratio and Selenium (Se) were determined . The
results revealed a significant reduction in all parameters of patients sera compared to
healthy group .
The reduction in GSH and Cu/Cp ratio confirms tissue damage associated with
oxidative stress injury
A conclusion was obtained hrer ,that Cu wasn’t an important ele

        Let R be a commutative ring with unity. In this paper we introduce the notion of chained fuzzy modules as a generalization of chained modules. We investigate several characterizations and properties of this concept

    BaCoxTixFe12-2xO19 (x=0.1, 0.5, 0.7, 0.9, 1.7) were prepared using powder technology technique . X-ray diffraction with diffractometer CuKα radiation analysis and Rietveld refinement of the samples were studied and showed a single phase of hexagonal structure with SP63/mmc space group . Lattice parameters, cell volume , crystallite size and x-ray density were determined .The hexagonal structure was represented by using PowderCell program showing the atomic positions of Co ,Ti, and Fe ions.
 

A design and construction of Fabry -Perot Interometer  system  were achivcd to spcify  and  calculate wavelengths to the neart  nanometers for spectroscopic research investigation, this  accuracy  required  for as the refractive index is a function of pressure on the medium   when the space between  the two windows is keptn constant .

He-Ne  laser (632.8)  nrn and  the green  laser (532)  nm  were  used  as

coherent sources.

Lasers of  (632.8)  & (532)nm  respeCtively,  were  used  as  coherent sources. Results  showed accuracy  of (0.2)nm in determining  the waveleng

The optical modulator was designed by using iterated function

systems (IFSs) by IFS Construction Kit program. The modulator was inserted into the optical system using ZEMAX optical design program. In this program, it is assumed that the modulator is made from one of Ø¢ the infrared transmitting materials. Eight materials at room temperature were used in this study; these are IRTRAN materials, Si, and Ge for the range of 3-9 l-lm.

Systems were evaluated and analyzed by using different criteria,

including spot diagram, modulation transfer function, and point spread function. The effect of optical modulator change with the chang of Ø¢ its material results in focusing of functions and frequencies as requ

Protein bound fucose (PBF), protein  bound hexose (PBHex), and total calcium {T.Ca) were 'determined in sera of (40) hy-p.ertnyroidism , (40)  hypothyroidism patients and (40) controL The resultsr vealed  a significant decrease in the kwel of PBF,  PBHex and T.Ca in sera of patients with .hyperthyroidism  compared  to control; Inc se Qf PBF. there nQ difference in its level betwe.en patients with hypothyroidism and  control  group.  While there  is a significant increment in  PBHex leveli:n both hyper and hypothyroidism With respect to that of control Result  indicates, that total calcium levels were i.n  the nomml range for all p tients groups. Patient  compa

In  this  work,  three  inorganic  additives were 1,1sed,  these  are  (I)  ;

tetraethyl ammonium bromodichloro phenylphsphin, (II) Chlorinated paraffine. and (ITI) a mixture  of  (50%  by weight  of each) to study the synergetic effect.  These  additives \'v·cre used  as flame retardants with unsaturated  polyester  and  epoxy  resins.;, since  these  resins  are industrially important  and of \Vide uses in life.

Results showed efficiency of these  additives to retard  fl mmabillty and stop burning of resins throqght the ASTM tests used Measurement of Limiting oxygen  index (LOI), &nbs

The study was carried out for  the period    March 2007 -

January 2008 , in order to describe the status of the environmental sanitation and the prevalence of rodents infestation in nine quarters in Baghdad city . The results showed that the PI varied between 40 -

100% in garbage accumulation places and between 33.3 - 100% in the

other sites (houses , shops , bakeries and book shops) . It was noticed that, no rodents control activities were carried out from 2003 till now because of the unsuitable conditions a especially in Baghdad city . The level of ES was bad in general according to three degrees of evaluation (weak , mid and good)

Linear Feedback Shift Register (LFSR) systems are used  widely in stream cipher systems field. Any system of LFSR's which wauldn't be attacked must first construct the system of linear equations of the LFSR unit. In this paper methods are developed to construct a system of linear/nonlinear equations of key generator (a LFSR's system) where the effect of combining (Boolean) function of LFSR is obvious. Before solving the system of linear/nonlinear equations by using one of the known classical methods, we have to test the uniqueness of the solution. Finding the solution to these systems mean finding the initial values of the LFSR's of the generator. Two known generators are used to test and apply the ideas of the paper,

High   Alumina   Glasses   "Alumina   Silicate   Glasses"   was prepared by utilizing powder technology technique. The starting materials are wasted soda-lime glass from an industrial site, Iraqi­ Duekhla raw kaolin and small amounts of potassium carbonates.

X-ray Diffraction and FTIR analysis show complete vitreous glasses are obtained. Increasing Alumina content plays an obvious role in improving physical and mechanical properties of the prepared high  alumina  glass.   In  addition,  the   increased  alumina  content enhanced the dielectric constant and reduced dielectric loss. These results may be interpreted as du

Samarium(III) ions react with (l-2(2-benzoinidazolyl-azo)-2-hydroxy-3-naphthoic acid in basic medium (pH = 8.0) forms a red-orange complex at A.max (550nm). The complex was found to be stable for at least 48 hrs. at the given pH. The apparent molar absorptivity is 7776.77  L.mol-1.Cm-1 and a linear calibration curve is obtained in the range (0.639x  10-5M - 6.350x 10 -5M). The stoichiometry of complex was confirmed by using mole ratio method which indicated that ratio of reagent to metal is 3:1. The effects of the presence of different cations and anions as interferences in the determination of samarium(III) under the given conditions were investigated

The present study included the effect of acute exposure of different concentrations of sodium chloride on the Zooplankton Crustacean Daphnia pulex which belong to the order Cladocera. The lethal concentrations killing 50% of the population (LC50) after 24hrs and 48hrs were 2.95‰ and 2.63‰ respectively While lethal concentrations killing 100%  of the population (LC100) and non lethal concentrations (LC0) were 6‰ and 0.5‰ after 24hrs of exposure to NaCl. The acute exposure of the Crustacean Daphnia pulex showed increasing in mortality percentages with increasing the concentrations and exposure time

This research includes the synthesis of new series of heterocyclic compounds. Reaction of 2-nitro benzylidene)thiosemicarbazide(1) with ethyl chloro acetate gave (2-nitro benzylidene amino)-2-thioxomidazolidine-4-one(2) ,treatment(2) with methyl iodide to give(3)which was reacted with hydrazine to give 2-hydrazinyl-1-[(2-nitrobenzylidene)amino]- 1H-imidazol-5(4H)-one, andreation of compound(2) with aromatic aldehydes to give 5arylidene -3-({2-nitro benzylidene}amino)2-thioxo-3,5-dihydro-4H-imidazole-4-one(5a,5b), which was reacted with ethyl aceto acetate to give 4-aryl-1-[2-nitrobenzylidene, amino -6oxo-2-thioxo octa hydro-1H-benzo[d]imidazole-5-carboxylate and followed synthesis of βlactamederivtives(9a,9b) by treatment derivatives(

   This paper concerns is the preparation and characterization of a bidentate ligand [4-(5,5dimethyl-3-oxocyclohex-1-enylamino)-N-(5-methylisoxazol-3-yl) benzene sulfonamide].  The ligand was prepared from fusing of sulfamethoxazole and dimedone at (140) ºC for half hour.              The complex was prepared by refluxing the ligand with a bivalent cobalt ion using ethanol as a solvent. The prepared ligand and complex were identified using Spectroscopic methods. The proposed tetrahedral geometry around the metal ions studied were concluded from these measurements. Both molar ratio and continuous variation method were studied to determine metal to ligand ratio (M:L). The M to L ratio wa

Mn(II), Co(II), Ni(II), Cu(II), and Cr(III) metal complexes with the ligand (L) [3-(2nitro benzylidene) amino-2-thioxoimidazolidin-4-one] have been prepared and characterized in their solid state using the elemental micro analysis (C.H.N.S), flame atomic absorption, UV-Vis spectroscopy, FT-IR, magnetic susceptibility measurements, and electrical molar conductivity. The ratio of metal to ligand [M:L] was got for all complexes in the ethanol by using the molar ratio method, which produced comparable results with those results obtained for the solid complexes. From the data of all techniques, octahedral geometry was proposed for Cr(III), Mn(II), and Co(II) complexes, while tetrahedral structure was proposed for Ni(II), Cu(II) complexes.

     In this research, poly acetal has been prepared from poly vinyl alcohol reaction with the para methyl benzaldehyde. The solution casting process was used to create the polymer blends of poly acetal and PVP. The aim of this study is to investigate the influence of the gold and silver nanoparticles on the anticancer activity of the prepared compounds. Using onion peel extract as a reducing agent, the gold nanoparticles (AuNPs) and silver nanoparticles (AgNPs) were created. Nanocomposite were prepared by solution casting by mixing poly acetal /PVP /Au, Ag nano particles with different ratios. The AuNPs And AgNPs were characterized through XRD analysis and FESEM microscopy. The poly acetal, polymer blends and nano c

    Identifying the optimum solution that satisfies the restrictions and maximizes or minimizes the objective function is the aim of fully fuzzy fractional programming (FFFLP). Due to the inclusion of both fuzzy parameters and fractional variables, this problem is difficult to solve. Several approaches, including linear programming, nonlinear programming, genetic algorithms, and computational intelligence algorithms, have been suggested to handle fully fuzzy fractional linear programming (FFFL) problems. For describing the uncertainty, vagueness, or imprecision of information in the real world, triangular and trapezoidal fuzzy numbers are frequently used. Indeed, it is not always practical to limit the membership function

Bromelain is a proteolytic enzyme rich in cysteine proteases, extracted from the stem and fruit of pineapple (Ananas comosus). There are several therapeutic applications of the bromelain enzyme, where it has anti-inflammatory, anti-cancer, and antimicrobial activity, reduces joint pain, and accelerates wound healing. In the current study, bromelain enzyme was loaded on silver nanoparticles (Br-AgNPs) prepared using the citrate-reduction Turkevich method. Different characterization analyses were performed, including UV-Vis spectrophotometers, FTIR, SEM, and XRD analyses. Moreover, the antioxidant activity of prepared Br-AgNPs was evaluated by DPPH assay. The results of UV-Vis showed a peak at 434 nm, which referred to the AgNPs f

The method of operational matrices based on different types of polynomials such as Bernstein, shifted Legendre and Bernoulli polynomials will be presented and implemented to solve the nonlinear Blasius equations approximately. The nonlinear differential equation will be converted into a system of nonlinear algebraic equations that can be solved using Mathematica^®12. The efficiency of these methods has been studied by calculating the maximum error remainder ( ), and it was found that their efficiency increases as the polynomial degree (n) increases, since the errors decrease. Moreover, the approximate solutions obtained by the proposed methods are compared with the solution of the 4^th order Runge-Kutta meth

     Proteus mirabilis is one of the most common Gram-negative bacteria that can cause UTIs. The purpose of this research was to identify virulence genes in P. mirabilis strains obtained from the urine of Iraqi patients diagnosed with urinary tract infections. From October 2022 to February 2023, AL-Imam Ali Hospital collected 100 urine specimens from patients exhibiting symptoms and signs of UTI. All specimens were identified based on morphological characteristics on media of culture like pale, non-lactose ferment colonies on MaCconkey agar, swarming on blood agar, and salmonella shigella agar for hydrogen sulfide production, more diagnosed via utilizing molecular detection and the VITEK system, giving positive resu

The structural and optical properties of silver telluride films with doped 2% aluminum (Ag₂Te:2%Al), prepared using the thermal evaporation technique, were studied on glass substrates with a thickness of (400+ 20) nm after changing the annealing temperature to (300° C) for one hour. The films were found to be polycrystalline, and monoclinic at room temperature (R.T.), the structure became cubic after annealing. In XRD test we found that the crystallite size of the doped films is larger before annealing than it is for the (Ag₂Te:2%Al) films, and AFM tests showed that the grain size increases after annealing It also shows that the structure is nano, UV-visible optical tests of Ag₂Te films revealed t

In this research, we investigate and evaluate the efficiency of a hetero junction N749-  device based on a simple donor-acceptor model for electron transfer. Electron transfer from a photo-excited N749 sensitized into a wide-band gap  is the basic charge separation in dye-sensitized solar cells, or "DSSCs". Due to the understanding of the current of the DSSCs functioning mechanism, the energy levels of the hetero junction N749-  device surrounded by DCM solvent as polar media must be continuum levels. The current-voltage (J-V) characteristics of the N749- device are calculated in two concentrations at room temperature (T=300 k) and 100   irradiation. The fill factor and efficiency of the device are found to be 0.134 and 6.990 for con

Metal oxide nanocomposites (MONCs) manufacturing is increasingly gaining popularity. The primary cause of this is the broad range of applications for such materials, which include fuel cells, photovoltaics, cosmetics, medicine, semiconductor packing materials, water treatment, and catalysts. Due to their size, stability, high surface area, catalytic activity, simplicity in fabrication, and selectivity for particular reactions. The MONCs with various morphologies have been created by physical, chemical, and biological processes, such as sol-gel, hydrothermal, co-precipitation, solvothermal, and microwave irradiation. Eugenol (4-allyl-2-methoxyphenol) is a major component of clove essential oil and it was found in various plant groups, has

Volumetric Modulated Arc Therapy (VMAT) and Intensity Modulated Radiation Therapy (IMRT) are comparable for nasopharyngeal cancerous radiation therapy. This research intends to analyze the high-quality plan using accomplishment, conformance, and homogeneity criteria.

The study involved 40 patients with a postnasal cancerous tumor. The patients underwent computed tomography (CT) simulation to scan the anatomical details of the patients' heads. Then, their data was forwarded to the treatment planning system (TPS) workstation for IMRT and VMAT planning. The plans were evaluated using the IOA, HI, and CI indices.

The nasopharynx coverage results consist of the GTV and PTV at 95%. The statistical study reveals that VMAT provides

The research aims to develop the best possible design for the widely used Cassegrain telescope. The system consists of two models of different designs: (a) the telescope consists of a Maksutov lens, a spherical primary mirror, and a secondary mirror attached to the lens; (b) it consists of a Maksutov lens and a spherical primary mirror, plus a non-lens attached secondary mirror located between the lens and the primary mirror. The image was evaluated and analyzed using the analysis tools in Zemax software. The results of the two designs showed that the telescope whose secondary mirrors are not adjacent to the Maksutov lens produces high quality image that is almost free from aberration, and then comes the telescope whose secondary mirrors

     In the current work, Calculate cross sections for  ²⁵²Cf (α,3n)²⁵³Fm  reaction Use of interpolation and cross-section sampling published in the international literature to select the appropriate interaction of ground-level energies in a computer-based program (MATALAB-17.0) , in steps of energies (0.2 Million electron volts). Given the importance of the ²⁵²Cf isotope and its entry into the industrial and medical fields, there was a need to determine the energy of the incident neutron to produce this isotope, relying on the masses of the entering and leaving particles and the values ​​of angular momentum to obtain an equation and according to the theory of the opposite reac

The availability of different processing levels for satellite images makes it important to measure their suitability for classification tasks. This study investigates the impact of the Landsat data processing level on the accuracy of land cover classification using a support vector machine (SVM) classifier. The classification accuracy values of Landsat 8 (LS8) and Landsat 9 (LS9) data at different processing levels vary notably. For LS9, Collection 2 Level 2 (C2L2) achieved the highest accuracy of (86.55%) with the polynomial kernel of the SVM classifier, surpassing the Fast Line-of-Sight Atmospheric Analysis of Spectral Hypercubes (FLAASH) at (85.31%) and Collection 2 Level 1 (C2L1) at (84.93%). The LS8 data exhibits similar behavior. C

Titanium dioxide (TiO₂) nanoparticles were combined with a mixture of polymers: polyvinyl alcohol (PVA), polyethylene glycol (PEG), and polyvinylpyrrolidone (PVP). TiO₂ nanoparticles were formed by the sol–gel process, and nanocomposites were prepared with concentrations 1, 5, 10, 15, 20, and 25 wt% of TiO₂ nanoparticles after subjecting them to a calcination process at temperatures of about 400 °C and 700 °C, and with polymer blends of different concentrations (PVA various wt%, PEG constant wt%, and PVP constant wt%). A UV–Vis spectrometer was used to determine the optical constants of the prepared samples, namely, the absorption coefficients and Urbach energies. It was observed that the Urbach ene