The paper establishes explicit representations of the errors and residuals of approximate
solutions of triangular linear systems by Jordan elimination and of general linear algebraic
systems by Gauss-Jordan elimination as functions of the data perturbations and the rounding
errors in arithmetic floating-point operations. From these representations strict optimal
componentwise error and residual bounds are derived. Further, stability estimates for the
solutions are discussed. The error bounds for the solutions of triangular linear systems are
compared to the optimal error bounds for the solutions by back substitution and by Gaussian
elimination with back substitution, respectively. The results confirm in a very

In this study, the flavonoid and alkaloid content in the alcoholic extract of the shoots and flowers were identified in four species of the tribe Apieae / Apiacese : Ammi majus, Ammi visgana, Anethum graveolens and Foeniculum  vulgaris, and the flavonoids that were detected are (Apigenin, Coumarin, Kaempferol and Quercetin). The species Foeniculum vulgaris has recorded the highest concentration of total flavonoid content (Shoots and Flowers) among the studied species, reaching 4139.2 µg / ml. The total alkaloids are estimated for these species, and the Foeniculum vulgaris has recorded the highest concentration of the total alkaloid content as well.

 Our research was launched in the study of the sustainable conflict of globalization and the rebalancing of the great powers that have made life on the earth unstable and insecure over the past and present eras, the purpose of which is to pay attention to the waste and instability that human societies are exposed to in different proportions between abstract right and continuous deviation.

The purpose of the study is to show the loss, waste and backwardness in managing and governing societies towards private interests, away from the standards of good institutional governance.

The study’s design was based on two demands, the first on the nature and eternity of

Four mushrooms were used in the present study, Agaricus bisporus (B62) strain (Lelion, Varrains , France) , Pleurotus ostreatus (Blue grey-BG) and P. ostreatus (White oyster-WH) from Mushroom Box Company, United Kingdom, while P. ostreatus (P2) was the local fungus isolated and identified in this study. Radical scavenging activity of alcoholic extracts from mushrooms was found to be higher than those of aqueous extracts at the same concentration tested in all results in the present study and alcoholic extract for P. osteatus (P2) gave the highest result in concentration (25) mg/ml (60.53+0.55 %) in DPPH test , reducing power (5.4±0.1), total phenolic component (11.46+0.05) mg/g, chelating activity (75.86+16.95%) and antioxidant activity

Applying load to a structural member may result in a bottle-shaped compression field especially when the width of the loading is less than the width of bearing concrete members. At the Building and Construction Department – the University of Technology-Iraq, series tests on fibre reinforced concrete specimens were carried out, subjected to compression forces at the top and bottom of the specimens to produce compression field. The effects of steel fibre content, concrete compressive strength, transverse tension reinforcement, the height of test specimen, and the ratio of the width of loading plate to specimen width were studied by testing a total of tenth normal strength concrete blocks with steel fibre and one normal s

Background The Medicines and Health care products Regulatory Agency stated in 2003 that doctors should endeavor to avoid using products in treatments not covered by their product license. Foley catheters are commonly used in the management of epistaxis although their product license does not cover this.
Aims : To study the extent of the use of these catheters and the knowledge that otolaryngologists had of their legal status.
Method : By undertaking a questionnaire survey of some Otolaryngologists in Baghdad 
Results : Most members appear to use Foley catheters in the management of epistaxis; however most of them are not aware that the product is not licensed for this purpose. Because of this lack o

Project deal with the study of the suitability of the planning standards of the select sites for sports facilities for the holy city of Karbala and the extent of convergence and divergence between these standards and points of strength and weakness in each of these standards.

It was found that there was a lack of the   role given to the sports as a kind of luxury does not deserve to spend money and efforts, and was then incorporated with a lot of entertainment services by planners.

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Fourty  -tow   Libyan     patients  with  hydatidosis,  which  were

referred to by the physician for the detection of hydatid cyst by X - rays, Ultrasound and CT-Scan.  The  infection rate  in  females and males was(69% )and (31% )respectively .The highest rate 69% was in the liver, followed by the lung( 23.8%), the brain (4.8%) and kidney

(2.4%).

A total of  42 serum  samples were gathered from Libyan patients infected with hydatidosis, 33 serum samples from patients cases with other parasitic diseases than hydatidosis and 30 serum samples from healthy normal controls and were tested by Dot-ELIZA utilizing antigen B from sheep hy

This study dealt with the concept of partnership, explaining that this term, has many definitions, and included in the legislation of the majority of countries, and addressed by many scholars, researchers and thinkers.  All this is due to the importance of its role in providing the necessary financing for the establishment, implementation, development and maintenance of projects, financing from the private sector, away from the state budget, or borrowing from abroad. It explained the relationship between the partnership system and the progress of developing countries, explaining that this system provides the necessary financing for the basic projects needed by the state, from two sources, the first is a set of objectives, which work

 Serum alkaline phosphatase activity has been investigated in three major types of tuberculosis (TB). These were Extra pulmonary primary, Acute miliary, and Primary tuberculosis. Activities were found elevated in these cases studied at basic PH and 37 C. The study concentrated an a comprehensive determination of the rate reaction kinetics of the enzyme reaction in both normal and TB sera. The pseudo first — order plot reflects both values of the first — order association constant (K I) and the half life time (t1/2) of the enzymatic reaction. The activation energy of the reaction (ES-complex formation) with Hill coefficient (n) were both estimated using Arrhenius and Hill plots respectively.