The research aims to propose a plan to reduce the waiting times in the Multiple Server queuing model (M, M, C) (FCFS, ∞, ∞), and adopt this plan, mainly on the arrival rate (λ), some process have been achieved in order to reduce the arrival rate per service channel that should  reduces the overall waiting time in the system.  This research is on two sections where the first deals with theory and how it has been approved the proposed method in theory and in mathematical equations as well as the second section, which dealt with the practical goal of applying the proposed method and comparing it with the traditional way, which was followed in calculating the performance measures in this model.  
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  In this paper, we introduce and study the concept of S-coprime submodules, where a proper submodule N of an R-module M is called S-coprime submodule if M N is S-coprime Rmodule. Many properties about this concept are investigated.

    In this work, we construct complete (K, n)-arcs in the projective plane over Galois field GF (11), where 12 2 ≤ ≤ n  ,by using geometrical method (using the union of some maximum(k,2)- Arcs , we found (12,2)-arc, (19,3)-arc , (29,4)-arc, (38,5)-arc , (47,6)-arc, (58,7)-arc, (68,6)-arc, (81,9)-arc, (96,10)-arc, (109,11)-arc, (133,12)-arc, all of them are complete arc in PG(2, 11) over GF(11).  

  The aim of this paper is to introduce a new type of proper mappings called semi-p-proper mapping by using semi-p-open sets, which is weaker than the proper mapping. Some properties and characterizations of this type of mappings are given.

    In this work, we use the explicit and the implicit finite-difference methods to solve the nonlocal problem that consists of the diffusion equations together with nonlocal conditions. The nonlocal conditions for these partial differential equations are approximated by using the composite trapezoidal rule, the composite Simpson's 1/3 and 3/8 rules. Also, some numerical examples are presented to show the efficiency of these methods.

2-Amino-5-aryl- 1,3-thiazole-4-carboxylic acid (A1-A3) were synthesized from the reaction of various aromatic aldehyde with dichloro acetic acid and thiourea. The synthesis of 2-[[(Saminosulfinim-idoyl)(aryl)methyl](benzoyl)amino]-5-aryl-1,3-thiazole-4-carboxylic acid (A22-A30) was perfomed starting from (A1-A3) by two steps using Schiff's base (A4-A12) prepared  from the reactant compounds (A1-A3) with different aromatic aldehyde. Finally two types of imide derivatives were obtained from reactant compounds (A1-A3) with malic anhydride (A31-A33) and phthalic anhydride (A34-A36) in the presence of glacial acetic acid. All proposed structures were supported by FT-IR and UV-Visible spectroscopic data.  
 

   Complexes  of  (Co2+, Ni2+, Cu2+, Zn2+, Cd2+ and Hg2+)  with  the  ligand  Ethyl  cyano  (2methyl  carboxylate phenyl  azo  acetate)  (ECA)  have  been  prepared  and characterized  by FTIR, (UV-Visible), Atomic  absorption spectroscopy, Molar conductivity measurements and magnetic moments measurements. The following general formula has been suggested for  the prepared  complexes  [M(ECA)2]Cl2 where M = (Co2+, Ni2+, Cu2+ ,Zn2+, Cd2+, Hg2+) and the geometry is octahedral.

This study is concerned with the adsorption of Congo red from solution on the surface of Chaff. The adsorption isotherm is of L-curve type according to Giles classification and the experimental data were best fitted to Langmuir isotherm model. The adsorption phenomenon was examined as a function of temperature (25, 40, 55 oC). The extent of adsorption of Congo red on Chaff was found to increase with the increase of temperature (endothermic process). The basic thermodynamic functions have also been calculated. The effect of contact time was investigated and found that the adsorption process of dye on Chaff surface reached complete equilibrium within 90 min. The maximum uptake of Congo red by Chaff was found to be 92.9% at 25oC. The kineti

A description of the theoretical of the reorganization energies have been described  according to the outer-sphere Marcus model .It  is a given expression according this model unable to evaluate the reorganization energy for electron transfer at liquid /liquid interface. The spherical model approach have been used to  evaluate the radius of donor and acceptor liquid alternatively .Theoretical results of  the reorganization free energy for electron transfer at liquid/liquid interface system was  carried out . Matlap program is then used to calculate 𝐸0 for electron transfer reaction between water donor stated and many liquid acceptor state. This shows a good  agreement with the experiment. The results

  In   this  research  ,  the  structural   and  optical   properties   of  pure of cadmium  oxide, pure (CdO) were studided thin films in a thermal evaporation in a vacuum depositing metal cadmium pure rules of the glass at room temperature (300K) and thickness (300 ± 20nm) and the time of deposition (1.25sec) was oxidation of thin films cadmium (Cd) record temperature (673k) for a period of one hour to the presence of air optical energy gap for direct electronic transitions were calculated (permitted) as a function of absorption coefficient and permeability and reversibility by recording the spectrum absorbance and permeability of the membrane the record

    In this work, animal bones with different shapes and sizes were used to study the characteristics of the ground penetrating Radar system wares reflected by these bones. These bones were buried underground in different depths and surrounding media. The resulting data showed that the detection of buried bones with the GPR technology is highly dependent upon the surrounding media that the bones were buried in. Humidity is the main source of signal loss in such application because humidity results in low signal-to-noise ratio which leads to inability to distinguish between the signal reflected by bones from that reflected by the dopes  in the media such as rock .

   The cytotoxic effect of different concentrations of Crude extracts of  Solanum melongena  , Curcuma longa and  Daucus carota  on  mice mammary adenocarcinoma cell line was  studied . The concentrations  used were 62.5 125 , 250, 500 Microgram/militer for 24,48 and 72 hour . These exracts were prepared by  using alcoholic and  hot water methods . The preliminary chemical tests revealed acidic pH of all  extracts. The results showed  a clear  toxic effect of all extracts in a time and dose –dependent manner . The Curcuma longa  had the highest effect on adenocarcinoma 94.61% , followed by Solanum melonga( 93.20%)   and the lowest effect was by Da

The monogenean Gyrodactylus lavareti Malmberg, 1957 is recorded here in the present study for the first time in Iraq from gills of the common carp Cyprinus carpio. This is the twentieth gyrodactylid species to be recorded from fishes of Iraq. The description and measurements of this parasite as well as its illustration were given.   
 

   Laboratory and field experiment were conducted at MustansiryahUniversity in 2010 to investigate the possible allelopathic potential ofDigitariasanguinalis (L.) Large crabgrass andClerodenduminerme on the seed germination and seedling growth of bladygrass (Imperata cylindrica), the results showed areduce of 44%and 43% in seed germinationby leaves extracts ofClerodenduminermeandDigitariasanguinalisrespectively in 50% concentration and  61% and  62% in 100% concentration. Root and shoot length of blady grass seedlings growth were reduced by an average of 75-70%.  Field experiments indicated thatcrude material of Clerodenduminerme and Digitariasanguinalisin50 gm/ m2 gave the highest control on blady grass than the

  A series of N- benzoyl  - 2 – alkyl -1- ( 2- thio – 1,3,4- thiadiazole -5- yl ) , have been synthesized from DL- α– amino acids , The methyl and sulfon thio ethers of these compounds were also prepared , representative samples of the prepared compounds were characterized from their IR- spectrum and elemental analysis .
 

 Application of a Fe-bentonite nano clay (Fe-BNC) as modified clay has been investigated for the removal of birlliant green (BG) from aqueous solutions. Atomic force microscope measurements give a detailed information on pore shape and pore size distribution about the clay. These measurements show that the average diameter of the improved clay is 346.84 nm. Batch adsorption experiments were carried out for the removal of (BG) from aqueous solutions onto Fe-BNC.       Equilibrium data were fitted to Freundlich and Langmuir isotherm equations and the isotherm constants were determined. Thermodynamic parameters such as free energy, entropy and enthalpy, have been calculated.     &n

    Anastatica hierochuntica is believed to be very useful in Arab countries for treating various health disorders. The aqueous extract of Anastatica hierochuntica was investigated for its effects on hormones in mice females. the aqueous extract of plant at a dose level of 100mg/1mL showed significant increase (p<0.05) on levels of hormones LH, FSH, PRL level and PRO level. Clomid treated group showd significant increase in LH, FSH, and PRL while there was non-significant increase in PRO. From the above results, it is concluded for the first time that aqueous Anastatica hierchuntica extract offers significant effect of LH, FSH, PRL, and PRO in this mice females scompared with control.  

   In this work , we applied the nuclear shell model by using Modified Surface Delta Interaction ( MSDI ) to study the nuclear structure for Ti42-44 nuclei from the calculation of the energy level values and its total angular momentum .      After comperation with the experiment values which found to be rather in good agreement and determined the total angular momentum values of energy levels which are not assigned experimently , as soon as , we certify some values that were not certained experimently .  

  The ceramics specimens as superconducting phase (Bi2PbxSr2Ca2Cu3O10+δ) with different concentrations of Pb from (0.0-0.5) were prepared by solid-state reaction method. Superconducting samples were exposed to high humidity (RH 75% at 25ºC) for seven weeks time interval. The humidity has a negative effect on the transition temperature of superconductor phase .It destroys the superconducting phase and the samples were converting to insulator.  
 

    In this project we analyze data of a large sample of gas rich dwarfs galaxies including; Low Surface Brightness Galaxies (LSBGs), Blue Compact Galaxies (BCGs), and dwarfs Irregulars (dIr). We then study the difference between properties of these galaxies in the range of radio frequencies (B-band).       The data are available in HIPASS catalogue and McGaugh’s Data Page.  We depended also NASA/IPACExtragalactic Databes web site http://ned.ipac.caltech.edu in the data reduction.       We measured the gas evolution (HI mass), gas mass-to-luminosity ratio, and abundance of the elements such as the oxygen abundance for these galaxies. Our results show a

   In this paper, we applied the concept of the error analysis using the linearization method and new condition numbers constituting optimal bounds in appraisals of the possible errors. Evaluations of finite continued fractions, computations of determinates of tridiagonal systems, of determinates of second order and a "fast" complex multiplication. As in Horner's scheme, present rounding error analysis of product and summation algorithms. The error estimates are tested by numerical examples. The executed program for calculation is "MATLAB 7" from the website "Mathworks.com

    This paper devoted to the analysis of regular singular initial value problems for ordinary differential equations with a singularity of the first kind , we propose semi - analytic technique using two point osculatory interpolation to construct polynomial solution, and discussion behavior of the solution in the neighborhood of the regular singular points and its numerical approximation, two examples are presented to demonstrate the applicability and efficiency of the methods. Finally , we discuss behavior of the solution in the neighborhood of the singularity point which appears to perform satisfactorily for singular problems.

 This paper devoted to the analysis of regular singular boundary value problems for ordinary differential equations with a singularity of the different kind , we propose semi - analytic technique using two point osculatory interpolation to construct polynomial solution, and discussion behavior of the solution in the neighborhood of the regular singular points and its numerical approximation. Many examples are presented to demonstrate the applicability and efficiency of the methods. Finally , we discuss behavior of the solution in the neighborhood of the singularity point which appears to perform satisfactorily for singular problems.

  The Nano compound (Ba1-xSrxTiO3) as (X=0,0.26,0.28,0.30,0.32,0.34) was synthesized by using sol-gel method, the structural properties of result compound were studied by using xray diffraction test (XRD) and scanning electron microscope (SEM). the results were exhibited and by using software indexing to x-ray diffraction pattern that all prepared samples possess tetragonal phase and there is not any other phases were existed. also the substitution  process didn't change the phase of compound and increase in (Sr+2) ion concentration leads to decrease lattice parameters (a,c) then the unite cell volume was decreased, as the particle size calculated from Debye-Scherrer and Williamson-Hall  equations , and the calculated dens

 Morphological description and histological structure of the liver have been studied in Durra bird Melopsittacus undulatus. The liver is a bilobed organ , the left lobe with three secondary lobes and slightly larger than the right lobe which is elliptical in shape. Liver is surrounded by a capsule that consists of thin layer of connective tissue with no distinction between interlobular septa . The parenchyma tissue consists of hepatic cells arranged with thickness 2_1 cell. Portal area appears within the liver parenchyma tissue composed of hepatic artery, portal vein and bile duct and supported by connective tissue. A gallbladder was not noticed in this species.             

The laboratory experment was conducted to study the effect of H2O2 with 5ppm,10 ppm and Uric Acid with 5ppm,10 ppm concentration on seed germination and seedling growth of Zea Mays L.
The result showed that the H2O2 and Uric Acid effect significantly to increase percentage of seed germination , seedling vigor index,dry weight and proline concentration compared with control treatment ,given the concentration of each H2O2 and Uric Acid of the best result of seed germination 70.00%,76.00% and seedling vigor index 21.00%,26.00% and dry weight give in 5ppm to Uric Acid significantly increased 0.34%,the 10 ppm to H2O2 increased proline concentration in plant compared with control treatment

  5-(mercapto-1,3,4-thiadiazole-2yl)α,α-(diphenyl)methanol have been synthesized by ring closer of potassium xanthate[which  have been prepared by reaction of benzilic acid hydrazide with carbon disulphide in potassium hydroxide] using conc.sulphuric acid at (0-5)°C scheme(I).       Their characterization was carried out from T.L.C, M.P, FT.IR and 1H-NMR.

This research studies Reinforcing and applied load of  Wear Rate for Epoxy composites contains from epoxy resin (Ep) as a matrix material and reinforced by Gawain red wood flour , Russian white wood flour , glass powder and rock wool fibers , with volume fraction (20%) for all samples in lab conditions.  by using the load (10,20 ,30 ,40) Newton of iron disc for testing  time(10) minute, and the results have shown that the reinforcing of epoxy resin led to decrease  wear rate for all samples except the hybrid composites reinforced earth glass powder , that the wear rate values  decrease  from   (22×10-9g/cm) to (4×10-9g/cm) of composite material(Ep+R.W.F) and thus(Ep+W.W.F)   at la

  This research studies the effect of grain size for the final stage in sintering Al2O3 .The experimental results for α- Al2O3 powder are modeled using ( L2-Regression ) technique in  order to study the effect grain size distribution on densification rate using four kinds for the initial particle size which were ( 1.44 , 2.54 , 0.7-2.54 ,1.15-3.53 ) µm , and for sintering time  (0-241) min. The mathematical simulation for grain size changing shows that the densification rates boots up as the grain size goes lower, this was due to the increase of contact area between the grains.

   One hundred and twenty eight currency notes samples 250, 500, and 1000 Iraqi Dinars (ID) values were collected from students, markets, banks, and hospitals in Erbil city , Iraq. The results showed that all collected samples were contaminated with one or more bacteria and fungi  species representing 100% contamination and none from the new (control) notes. Seventeen bacterial species and twelve fungal species were isolated, which include Staphylococcus aureus (83.3%), Streptococcus pyogenes (83.3%), Pseudomonas species (83.3%), Aspergillus niger (83.3%), Klebsiella species (75%), Staphylococcus epidermidis (66.6%), and Escherichia coli (66.6%) being the most prevalent. The lower values of currency notes (250 ID and 500 I