Let/. It :0 ---0 G be any two self maps of a compact connected oriented Lie group G. In this paper, for each positive integer k , we associate an integer with fk,hi . We relate this number with Lefschetz coincidence number. We deduce that for any two differentiable maps f, there exists a positive integer k such that k 5.2+1 , and there is a point x C G such that ft (x) = (x) , where A is the rank of G . Introduction Let G be an n-dimensional com -pact connected Lie group with multip-lication p ( .e 44:0 xG--+G such that p ( x , y) = x.y ) and unit e . Let [G, G] be the set of homotopy classes of maps G G . Given two maps f , f G ---• Jollowing [3], we write f. f 'to denote the map G-.Gdefined by 01.11® =A/WO= fiat® ,sea Given a point g EC and a differ-entiable map F: G G , write GA to denote the tangent space of G at g [4,p.10] , and denote by d x F the linear map rig F :Tx0 T, (x)G induced by F , it is called the differential of Fat g [4,p.22]. Let LA, Rx :0 G be respec-tively the left translation Lx(i)=4..(g,e) , and the right translation Rx(1)./..(gcg). Then there is a natural homomorphism Ad ,the adjoin representation, from G to GL(G•), (the group of nonsingular linear transformations of Qdefined as follows:- Ad(g)= deRe, od,Lx. Note that d xRc, ad.; =d(4,( Lx(e)))0 de; =d.(4, 04)=4(40 Re) = d(4(4, (e)))0 (44, =d ar, o (44, . Since G is connected , the image of Ad belongs to the connected component of G(G)containing the identity,i.e. for each g E 0, detAd(g) > 0 . By Exercise Al • Dr.-Prof.-Department of Mathematics- College of Science- University of Baghdad. •• Dr.-Department of Mathematics- College of Science for Woman- University of Baghdad.
Basketball is one of the most popular and popular games that have a large audience both globally and locally because of the magic it contains in terms of performance. For this sport to be a success, fundamental factors must exist and these factors is the referee. The referee plays a large and important role in the success of the game and the establishment and application of rules.The research aimed at identifying the effect of special on the development of referee's physical abilities. The researcher used the experimental method. The subjects were (12) first class basketball referees. The researcher recommended using special exercises due to their great role in developing the physical abilities of first class basketball referees
The aim of this study was to measure the concentration of some heavy metals (Lead, Cadmium ,Iron and Cupper) in blood samples of workers who operate the diesel generator in Baghdad city(Dora, Harthya, Bayaa and Hay al Jameaa ) ,and their effects on Testosterone hormone. The study included two groups: the first control group consisted of 20 normal male (non workers and non smoking), and the second consisted of 20 male (generator workers). Blood samples were collected from each two groups, where each sample was divided into two parts, the first part estimated blood concentrations of heavy metals while the second tested testosterone. Data were treated statistically using (Statistical Analysis System 2012) program, and the
... Show MoreABSTRACT:
The study aims at expounding the correlation and effect between the Human resource development strategy and Quality Municipality Service within a theoretical framework and a practical framework conducted at Directorate Of Municipalities in holy Karbala . The researcher found during a pilot study that there isn’t enough care paid by the Directorate Of Municipalities in developing its human resources using one strategy or a number of strategies and their effect on the Quality Municipality Service. Thus a number of research questions were set concerning the existence of clear perception in the Directorates Of Municipalities concerning the strategies of developing both the human resource an Qualit
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A new compound 2-(4-methoxyphcnyl)-5-(4-aminophenyl)-1,3,4-
oxadiazole (VI) was prepared by intramol ecular condensation reaction followed by elimination of some simple moieties such as IhO and HCI by using POCI3 with acid hydrazide. A series of new ShiffsÂ
bases 2-(4-methoxyphenyl)-5-[4(4:alkoxybenzoyloxy) benzylidene amino phenyl] I,3,4-oxadia:t.ole (VII].was synthesized from treatment
of oxadiazole derivative [VI] with an appropriate aromatic aldehyde
(IU). Struct\lfe of the resulting products have been ascertaim:d by their melting pointS, elemental analysis ( some of them) and spectral data.
New simple and sensitive spectrophotometric methods for the determination of paracetamol in aqueous medium were developed. The first method is based on coupling of paracetamol with p-amino-2-hydroxy sodium benzoate (AHB) in the presence of sodium periodate, as oxidizing agent, to form a brownish-orange compound which shows a λmax at 470 nm. The molar absorptivity (εmax) of the colored product was found to be (3371) l.mole1.cm-1 and Sandel’s index 0.0449 μg.cm-2. The method follows Beer’s law in the concentration range of 12.5-500.0 μg of paracetamol in a final volume of 25 ml (0.5-20.0) μg.ml-1 with relative standard deviation percent (R.S.D%) ranged between 0.26-4.71% and accuracy, expressed by recover
... Show MoreThis study is planned to find relationship between interleukin-33 (IL-33) with its receptor interleukin-1 receptor 4 (IL-1R4), and assurance IL-33/IL-1R4 proportion as biomarker to atherosclerosisin rheumatoid arthritis (RA) Iraqi female’s patients with and without dyslipidemia. This study was attempted at Baghdad Teaching Hospital included 60 female’s patients with RA that were isolated into: 30 patients with dyslipidemia(G2), 30 patients without dyslipidemia(G3) and 30 individuals as control group (G1). Patients were experiencing treatment by methortexiene medication, analyzed by rheumatoid factor (RF) and erythrocyte sedimentation rate (ESR) tests. All patients and control groups age ranged from (30-55) years. The results show an inc
... Show MoreObjective: To assess the Impact of Socio-economic status on age at menarche among secondary school students at
AL-Dora city in Baghdad, Iraq.
Methodology: This is a cross sectional study with multi-stage sampling was carried out during the period from the
3
th of December2013 to 12th of March 2014. The Sample comprised of 1760 girls, 1510 girls from urban area and
250 from rural area was included in the study. In first stage, selection of schools was done, and one class was
selected randomly from each level of Education, The data collection through a special questionnaire which Contain
the age of girl by year, class level, birth order, number of household, number of rooms, residency (urban/rural),
education level
(132)
(115)
The study objective was to conduct Pharmacoeconomics study (cost-effective analysis) between infliximab reference (Remicade) and its biosimilar (Remsima) in patients with rheumatoid arthritis (RA) in Iraqi hospitals.
This is a retrospective multicenter pharmacoeconomic analysis conducted at two large teaching governmental hospitals in Baghdad, Iraq which provided infliximab to patients with RA. Data were collected from patient’s medical records and face-to-face interviews with the patients from December 2021 to April 2022.
The study included 57 patients with rheumatoid arthritis (RA). The patients were categorized into two groups according to the type of infliximab they received over 30 weeks: 27 patients received
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