In this paper, we studied the scheduling of  jobs on a single machine.  Each of n jobs is to be processed without interruption and becomes available for processing at time zero. The objective is to find a processing order of the jobs, minimizing the sum of maximum earliness and maximum tardiness. This problem is to minimize the earliness and tardiness values, so this model is equivalent to the just-in-time production system. Our lower bound depended on the decomposition of the problem into two subprograms. We presented a novel heuristic approach to find a near-optimal solution for the problem. This approach depends on finding efficient solutions for two problems. The first problem is minimizing total completi

      Let  R  be a commutative ring  with identity  and  E  be a unitary left  R – module .We introduce  and study the concept Weak Pseudo – 2 – Absorbing submodules as  generalization of weakle – 2 – Absorbing submodules , where a proper submodule  A of  an  R – module  E is  called  Weak Pseudo – 2 – Absorbing  if   0 ≠ rsx   A   for  r, s  R , x  E , implies that  rx   A + soc ( E ) or  sx  A + soc (E)  or   rs  [ A + soc ( E ) E ]. Many basic  properties, char

In this paper, we study the common diskcyclic vectors for a path of diskcyclic operators. In particular, if  is a path of diskcyclic operators, we show that under certain conditions the intersection of diskcyclic vectors for theses operators is a dense  set.

     In this paper, we studied the travelling wave solving for some models of Burger's equations. We used sine-cosine method to solution nonlinear equation and we used direct solution after getting travelling wave equation.

A simple, sensitive, accurate and economic spectrophotometric method has been developed for the determination of sulfacetamide (SFA) in pure form, synthetic sample and urine. The method is based on diazotization of primary amine group of sulfacetamide with sodium nitrite and hydrochloric acid followed by coupling with chromotropic acid in alkaline medium to obtain a stable orange colored chromogen which exhibit a maximum absorption (λmax) at   511.5 nm. Different variables affecting the completion of reaction have been carefully optimized following the classical univariate sequence and  modified simplex method (MSM). Under optimized conditions, Beer’s law obeyed in the concentration range of (0.5-  &nbs

The eaction  of 2 4 .6-trihydroxyactophenonemonohydra1e  with

l hydr.azine monohydrate was realized ti·nder reflu.(( in methanol and i:l.

Jew drops of glacial acetic acid we.re added to give lhe'(int rmediate)

2-(1hydr pno-ctbyt)-benzcne-·1.3.5-r:Qql,       which      reacted     wittl

saEcy.laldehyde. jn methm)ql to gjy;e 'a new :tyRe CNzOi) Ligand  (H:flL]

f(2-{1-[(2-=bydroxy-bertzylide·ne)-bydrazqoo,J-e·thy.1}bcnze·neJ ;3·,5

          The effect of acute toxicity of chromium as (k2Cro4) on Simocephalus  expinosus (cladocera) and Mesocyclops hyalinus (cyclopoida) was studied in the present study .Both species can be used as asutible biological indecaters. In addition  Both of them are part of crustacean zooplankton.Their position in the fresh water  food chain, as the cladocerans constitutes the primary consumers while cyclopoids are part of secondary consumers.         To determine LC50 of chromium for the two species the following concentrations  of chromium  were  used 1,2, 3,4, 5,6, 14,18, 22,26,28, and 30 ppm. The results showed that LC 50 o

  Let R be a commutative ring with unity. In this paper we introduce and study fuzzy distributive modules and fuzzy arithmetical rings as generalizations of (ordinary) distributive modules and arithmetical ring. We give some basic properties about these concepts.  

  Reaction of Na2PdCl4 with benz-1,3-imidazole-2-thione or (bzimtH) benz-1,3-thiazoline2-thione (bztztH) in ethanol / NE3 afford complexes of the type [Pd(bzimt)2](1) and [Pd(bztzt)2](2) respectively. Treatment of [Pd(L)2] L= bzimt or bztzt with bidentate ligands (N^N) where N^N= bipyridine (Bipy) , phenanthroline (Phen) , ethylene diamine , or N,N′dimethylethylene diamine afford mononuclear complexes of the type [PdL2(N^N)]. The bzimt and bztzt ligands are coordinated as bidentate chelating ligands through the S and N in (1) and (2) whereas bonded as a monodentate fashion via the sulfur atom in other complexes. The prepared complexes were characterized by elemental CHN analysis, ir and 1H nmr spectra.
 

 The present study aimed to estimate percentage of red and white muscles fibers in two species of bony fishes belong to two different families which represented by Tenualosa ilisha (Hamilton , 1822) that belongs to the family Clupeidae and Cyprinus carpio (Linnaeus , 1758) that belongs to the family Cyprinidae . The samples were collected from local market at holy Karbala province. The results show difference clear in mean values of muscles numbers at different studied length groups, and the percentage of red muscles fibers were less than that of white muscle fibers at different body regions (R1,R2,and R3) among species.  The total average of red muscle fibers values ranged between (4.23 - 11.08 %) while the total average of wh

     The primary purpose of this subject is to define new games in ideal spaces via set. The relationships between games that provided and the winning and losing strategy for any player were elucidated.

First  instar  larvae    of  spiny  cottcn  boll  wonn   Earias insulana

(Bosid.)    were    Fed     on    different    concentrations    of    biological insecticides (Agerin) and growth  regulators (Match) for ( 5, 3 and one days) .The results showed  that Agerin at 1.5 giL caused   99.9 , 99.9. and  96.9  %  accumulative killing  percentages  while    0.5  g/L  of  this biological  insecticidt::s resulted  in  92.96 , 58.9 and 33.3% in the three periods  of  feeding  

This study included preparation for the unsaturated polyester samples before and after reinforced by Alumina oxide powder and copper oxide powder of different volume fraction amounting (3%,5%,8%). And this reearch included study of some of mechanical properties such as (hardness,compressive and wear).The results showed that increase of the hardness and compressive strength after the reinforced and increase with the volume fraction increase.As the wear test show that the wear rate increases with applied load from the different load(5,10,15)N,and the wear rate decreases with the volume fraction increase.

       Inhibitory effect  of  Lactobacillus plantarum was studied against Escherichia coli O157:H7 in  minced  beef , as well as the effect of some Spices ( Garlic , Cloves and Black Pepper ) was studied against this bacteria . Plate count method was used to estimate the viable cells of  E. coli O157:H7 in the treated meat samples for incubation periods( 0 , 24  and 48) h.   Results showed  that  Lactobacillus plantarum had inhibitory effect  against  E. coli O157:H7 , when reducing the number of cells after 24, 48 h., and reached to Zero after (24) h. As well as Spices in this study had inhibitory activity against  E. coli O157:H7 .Garlic had

This paper presents calculat,ion of thermal conductivity (K) of palm

leaf  experimentally  using  Lee s  disc  method   to  be  used  as   thermal

insulator. The therma l conducti vity is found to be equal to (k=0.03W/mK)

indicating  that  palm l eaf is a good thermal  insulator com pared to the other insulators. The effect of the thermal insulator   thickness  on temperature di lTt::rence,  heat   transfer    coefficient,   thermal     conductance,   thermal resistance,  thermal  insulation are in vestigated in this paper. It was  found that

      Bidentate Schiff base ligand 3-(3,4-Dihydroxy-phenyl)-2-[(4-dimethylamino-benzylidene)-amino]-2-methyl-propionic acid was prepared and characterized by spectroscopic techniques studies and elemental analysis. The Cd(II), Ni(II), Cu(II), Co(II), Cr(III),and Fe(III) of mixed-ligand complexes were structural explicate through moler conductance , [FT-IR, UV-Vis & AAS], chloride contents, , and magnetic susceptibility measurements. Octahedral geometries have been suggested for all complexes. The Schiff base and its  complexes were  tested against various bacterial species, two of {gram(G+) and gram(G-)} were shown weak to good activity against all bacteria.

      It is useful to analyze any optical system theoretically before proceeding with its design in order to ensure the effectiveness of the design through computer simulations that are important and useful in designs for the ability to predict the performance of solar concentrator under any conditions.  For this design, non-sequential ray tracing mode wasused in the Zimax program with a light source that simulated solar radiation.  The purpose of the design of a compound parabolic concentrator (CPC) is to take advantage of the solar radiation that falls on it without the need for an efficiently tracked system within certain limits of the angle of solar radiation fall known as the acceptance angle.&nbsp

      In this paper, we introduced module that satisfying strongly -condition modules and strongly -type modules as generalizations of t-extending. A module  is said strongly -condition if for every submodule of  has a complement which is fully invariant direct summand. A module   is said to be strongly -type modules if every t-closed submodule has a complement which is a fully invariant direct summand. Many characterizations for modules with strongly -condition for strongly -type module are given. Also many connections between these types of module and some related types of modules are investigated.

In the present study, we intend to evaluate the effect of temperature on the structural, morphological, and optical properties of tin oxide. For this purpose, tin oxide micro-flowers were prepared by the hydrothermal method at two different hydrothermal temperatures of 130 and 150°C. The synthesized samples were investigated and characterized using X-Ray Diffraction (XRD), Field Emission Scanning Electron Microscopy (FESEM), Ultraviolet–Visible Spectroscopy (UV-Vis). The XRD results showed that the synthesized samples have single-phase crystallinity with a rutile structure. The mean crystallite size for synthesized Micro- flowers was calculated by the Debby-Scherrer equation and the values were 21 and 28 nm for 130 and 150°C respecti

The aim of this work is an extension of the   -caps (  is the order, is the degree), where , in the three projective space of dimension over the Galois field of order thirteen, . The extensions have been done on the caps founded by action subgroups of projective general linear of order four over the finite field of order thirteen on .  The main condition for the completion of the expansion process on the degree of caps is  (number of points on the line in ) and the size  of the cap is points with a zero index zero, as it becomes complete when it is equal to zero. In this paper, we present fifteen caps (completes and incompletes) in  of degrees 2,3,4,7 are extended in size until they reach 14, which are then complete caps, and then

        The surface disintegration of metals and alloys in a particular surrounding environment is known as corrosion, in addition to its chemical qualities, corrosion processes change the physical and mechanical properties of a metal alloy. A new approach based on a unique material has been employed to prevent rusting. Conducting polymer-composites are material types that show promise for anticorrosion by electrochemical synthesis of polylimonene/metals oxide nanocomposite (ZnO,TiO₂) on Stainless Steel 304L, which plays as the working electrode by using the electropolymerization technique. The synthesized coating polymer was characterized by Fourier transform-infrared spectroscopy and atomic force microscopy checkups.

In this paper, a theoretical model has been presented to calculate the rate of photon emission. The photonic yield has been calculated for the interaction of heavy charm quarks with gluon from Bremsstrahlung processes. The rate of photon emission was evaluated for the interaction of the charm quarks with the gluons 

  The novel (La-PAA) of the ligand 8-[3-(pyrazoyl)azo]Adenine (PAA) was synthesized with the molar ratio (1:3), which was appointed by using the mole ratio method. The C.H.N.S elemental analysis, magnetic measurement, thermal analysis, and spectral methods (UV-Vis, FTIR, and HNMR) were employed to support the mode of binding and geometrical structure for ligand (PAA) and (La-PAA) complex. The FTIR and 1H N.M.R. spectral results showed that the (PAA) acts as neutral N, N-bidentate with La (III), as well as the absorption results in specific octahedral structures for (La-PAA) complex. The thermal decomposition of the (PAA) ligand and its (La-PAA) complex performed many steps, and the (La-PAA) complex is more thermal stable than the free l

In this paper, the complex of Lascoux in the case of partition (3,3,2) has been studied by using diagrams ,divided power of the place polarization ) (k ij ,Capelli identites and the idea of mapping Cone .

A (b,t)-blocking set B in PG(2,q) is set of b points such that every line of PG(2,q) intersects B in at least t points and there is a line intersecting B in exactly t points. In this paper we construct a minimal (b,t)-blocking sets, t = 1,2,3,4,5 in PG(2,5) by using conics to obtain complete arcs and projective codes related with them.

The current works included morphological features study (vegetative and floral parts) for five species of the genus Silene L., S. ampullata, S. chlorifolia, S. colorata, S. conoidea and S. longipetala belong to the family Caryophyllaceae, samples were collected from various areas of northern Iraq. Confirmation in the description was on the most critical parts of the plant, including the shape of the leaves, length, and shape of the calyx tube and venation, the modification shapes of coronal scales petals and appendages, anther ornamentation and structures of pistils. Images enhanced the morphological characteristics under study. Information on the locations and dates of the collection

In order to study the effect of inoculation with mycorrhiza and fertilization with plant residues on the growth of plants, we used two factors: the first two levels of mycorrhiza inoculation, Glumus mossea (0 and 10 g.pot^-1) and the second factor, four levels of plant residues (10 g.pot^-1) celery plant residues, 10 g pot^-1 mint residues, and 10 g pot^-1 black bean seed residues. Mychorrizal treatment (10 g pot^-1) increased the number of mycorrhiza spores and the infection percentage of mycorrhizal by 917.44% and 13088.23%, respectively; celery treatment (10 g.pot^-1) increased the chlorophyll index in the leaves and height of the chard plant by 31.34% and 94.04%, re

One of the most important methodologies in operations research (OR) is the linear programming problem (LPP). Many real-world problems can be turned into linear programming models (LPM), making this model an essential tool for today's financial, hotel, and industrial applications, among others. Fuzzy linear programming (FLP) issues are important in fuzzy modeling because they can express uncertainty in the real world. There are several ways to tackle fuzzy linear programming problems now available. An efficient method for FLP has been proposed in this research to find the best answer. This method is simple in structure and is based on crisp linear programming. To solve the fuzzy linear programming problem (FLPP), a new ranking function (R

This paper aims to study the quaternary classical continuous optimal control problem consisting of the quaternary nonlinear parabolic boundary value problem, the cost function, and the equality and inequality constraints on the state and the control. Under appropriate hypotheses, it is demonstrated that the quaternary classical continuous optimal control ruling by the quaternary nonlinear parabolic boundary value problem has a quaternary classical continuous optimal control vector that satisfies the equality constraint and inequality state and control constraint. Moreover, mathematical formulation of the quaternary adjoint equations related to the quaternary state equations is discovered, and then the weak form of the quaternary adjoint

A complete metric space is a well-known concept. Kreyszig shows that every non-complete metric space  can be developed into a complete metric space , referred to as completion of .

We use the b-Cauchy sequence to form  which “is the set of all b-Cauchy sequences equivalence classes”. After that, we prove  to be a 2-normed space. Then, we construct an isometric by defining the function from  to ; thus  and  are isometric, where  is the subset of  composed of the equivalence classes that contains constant b-Cauchy sequences. Finally, we prove that  is dense in ,  is complete and the uniqueness of  is up to isometrics