In the context of normed space, Banach's fixed point theorem for mapping is studied in this paper. This idea is generalized in Banach's classical fixed-point theory. Fixed point theory explains many situations where maps provide great answers through an amazing combination of mathematical analysis. Picard- Lendell's theorem, Picard's theorem, implicit function theorem, and other results are created by other mathematicians later using this fixed-point theorem. We have come up with ideas that Banach's theorem can be used to easily deduce many well-known fixed-point theorems. Extending the Banach contraction principle to include metric space with modular spaces has been included in some recent research, the aim of study proves some properties of Banach space.
This study included the preparation of the dihalogens -1,3 metalla-2[3] ferrocenophanes
like Cp2NbS2Fc,(tBuCp)2NbS2Fc,Cp2NbSe2Fc and (tBuCp)2NbSe2Fe where (Fc=ferrocence)
These complexes has been prepared from the reaction of (R)2 NbCl2 with FCLiM2 ,
where(R=Cp,tBuCp) (M = S,Se) under refluxing in toluene,the reaction was carried under
Argon atmosphere .
These complexes were characterized by elemental microanalysis ,Masse spectra scopy,
nuclear magnetic resonance (
1
HNMR) and melting points .
A series of experiments have been taken out to test the validity of the effect of Aluminum hydrate on its interaction with Aluminum during sintering of aluminum metal matrix. The approach has been shown to be valid and several compositions have been fabricated. The alumina hydrate particle size and the amount of alumina hydrate in the composites are also shown to have an influence on the extent of densification.
The densities for all sintered specimens were measured. It was found that density increases as compaction pressure increases, the density decreases as particles size increases. At 400 MPa there is an optimum particles size which is (90-125) µm to reach maximum density and the density decreases as volume fraction increase
... Show MoreObjective(s): To assess the types of violence among adolescents in Baghdad City.
A descripƟve study which was using the assessment approach was conducted on purposive sample of 60 parents of
adolescent for identify types of adolescents violence in their families, was selected according to specific criteria for
participating in health education program towards adolescents' violence control in Baghdad city.
Methodology: A questionnaire was constructed for the purpose of the study. It was consisted of two parts; the first
part which included the parents' demographic characteristics for parents (sex, age, educational level and socioeconomic
status); the second part included types of adolescent violence that reported by par
A survey of blood parasites among members of two species of Iraqi babblers Timaliidae,
Turodoides caudatus salvadori (de Fillipi, 1865) and Turdoides alterostris (Hartert, 1909)
was carried out in the middle and south of Iraq. Two species of haematozoa were recovered,
Haemoproteus turdoidus sp. nov. and Plasmodium relictum Grassi &Felleti. The description
of the new taxon is provided and discussed with pertinent literature.
The aerial part of Iraqi Anabasis aphylla (Chenopodiaceae) had been investigated for its alkaloidal contents.The alkaloid anabasine [2-(3-pyridyl)-piperidine] [1] & aphyllidine were isolated from an ethanolic extract of the plant. Isolation of the alkaloid was done by column chromatography followed by preperative thin layer chromatography. Identification of the isolated alkaloid was done by different spectroscopic methods (UV,IR), refractive index & TLC using authentic sample & preparation of a salt.
Vacuum gas oil (611-833)K was distilled from Kirkuk crude oil, which was obtained by blending the following fraction,
light vacuum gas oil (611 - 650) K, medium vacuum gas oil (650-690)K, heavy vacuum gas oil (690-727)K and very
heavy vacuum gas oil (727-833)K.
The vacuum gas oil was hydrotreated on a commercial cobalt-molybdenum alumina catalyst presulfied at specified
condition in a laboratory trickle bed reactor. The reaction temperature varied from (583-643)K over liquid hourly space
velocity ranging between (1.5-3.75)h-1 , Hydrogen pressure was kept constant at 3.5 MPa with a hydrogen to oil ratio
of about 250 L/L
The conversion results for desulfurization appeared to obey the second order kinetics. According to
In the present work, a program for calculating the coefficients of the Aplanatic Cassegrain Telescope (ACT) system, free from the effects of spherical and coma aberrations, were constructed. In addition, the two-mirrors of the optical system, as aspherical surfaces, were adopted. This means, that the two-equations of the mirrors are assumed to be polynomial function of five even terms only. The numerical method, least-squares curve fitting method to calculate the two-mirror coefficients system, was adopted. For choosing the values and ratios that give the best results, Rayleigh Criterion (Rayleigh Limit), for purpose of comparison and preference, was adopted.
Different percents(1.0,2.5,5.0 and 10)wt%of MgO powders were added to ZnO powder to study their effects on the physical properties of ZnO.Density, porpsity and water absorption of ZnO were decreased as MgO weigth percentage content increased. The values of vickers hardneess have double values especially at 1.0 wt % of MgO.
The inhibitory effect concentrated filtrate of local Lactobaciilus
gasseri against Candida albicans and Trichophyton mentagrophytes, T ruhrum and Aspergillus flavus which were isolated from infected cases in human beings, tested using two methods :well diffu ion and
Mixed with the mold medium (Sabouraud agar).
The results showed that the concentrated filtrate of L. gasseri have
inhibitory effect against Cundida ulbicans, the inhibition zone was 13 mm. As well as, the concentrated tiltrate inhibited, considerably Trichophyton mentagrophytes,
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