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Discuss of Error Analysis of Gauss-Jordan Elimination For Linear Algebraic Systems
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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 detailed form
that the errors of the solutions by Jordan elimination and by Gauss-Jordan elimination cannot
be essentially greater than the possible maximal errors of the solutions by back substitution
and by Gaussian elimination, respectively. Finally, the theoretical results are illustrated by
two numerical examples.

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Publication Date
Fri Sep 01 2017
Journal Name
Journal Of Baghdad College Of Dentistry
In Vitro the Effect of Canals Instrumented with Three Rotary Ni-Ti Systems on the Dislocation Resistanceo Guttafusion ® versus Single Cone Obturation Technique
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Background: Complete seal of the root canal system following its chemo-mechanical debridement plays a pivotal role for achieving successful endodontic treatment. This can be established by reducing the gaps between the core filling material and root canal wall. Aim: To assess and compare the dislocation resistance of root canals obturated with GuttaFusion® and TotalFill BC sealer versus single cone obturation technique and TotalFill BC sealer after instrumentation of the canals with WaveOne, ProTaper Next and ProTaper Universal system. Material and Method: Sixty extracted human permanent mandibular premolars were conducted in the current study. The teeth were decorated and left the root with 15mm length; the roots were divided randomly i

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Publication Date
Thu Aug 01 2013
Journal Name
Desalination And Water Treatment
Competitive biosorption of Pb(II), Cr(III), and Cd (II) from synthetic wastewater onto heterogeneous anaerobic biomass in single, binary, and ternary batch systems
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Biosorption of lead, chromium, and cadmium ions from aqueous solution by dead anaerobic biomass (DAB) was studied in single, binary, and ternary systems with initial concentration of 50 mg/l. The metal-DAB affinity was the same for all systems. The main biosorption mechanisms were complexation and physical adsorption of metallic cations onto natural active functional groups on the cell wall matrix of the DAB. It was found that biosorption of the metallic cations onto DAB cell wall component was a surface process. The main functional groups involved in the metallic cation biosorption were apparently carboxyl, amino, hydroxyle, sulfhydryl, and sulfonate. These groups were part of the DAB cell wall structural polymers. Hydroxyle groups (–O

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Publication Date
Tue Dec 01 2015
Journal Name
Journal Of Engineering
Importance of New Use of Concrete in Iraq Analysis of Development And Use of Concrete in Architecture
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Since its invention by the Ancient Romans and later developed during the mid-18th century, the concrete structure and finish, has been considered as the most powerful, practical, economic and constructional material that meets the building’s architectural and aesthetical requirements. By creating unique architectural forms, the pioneer architects used concrete widely to shape up their innovative designs and buildings.

The pre-mixed ultra-high performance concrete which manufactured by Lafarge.

The transparent concrete and cement that allow the light beams to pass through them, introduces remarkable well-lit architectural spaces within the same structural criteria. This product is a recyclable, sustainab

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Publication Date
Tue Feb 11 2025
Journal Name
Journal Of Studies And Researches Of Sport Education
The effectiveness of the use of yoga exercises and its impact on the reactions of the two Alvesologih nervous and respiratory systems in the correction of antenna pistol shooting accuracy
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Publication Date
Wed Mar 30 2022
Journal Name
Journal Of Economics And Administrative Sciences
Using Quadratic Form Ratio Multiple Test to Estimate Linear Regression Model Parameters in Big Data with Application: Child Labor in Iraq
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              The current paper proposes a new estimator for the linear regression model parameters under Big Data circumstances.  From the diversity of Big Data variables comes many challenges that  can be interesting to the  researchers who try their best to find new and novel methods to estimate the parameters of linear regression model. Data has been collected by Central Statistical Organization IRAQ, and the child labor in Iraq has been chosen as data. Child labor is the most vital phenomena that both society and education are suffering from and it affects the future of our next generation. Two methods have been selected to estimate the parameter

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Publication Date
Sun Oct 02 2011
Journal Name
The Iraqi Journal Of Agricultural Sciences
AN ECONOMIC ANALYSIS OF PRODUCTION AND CONSUMPTION OF SUGAR CANE AND SUGAR BEET IN IRAQ
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In spite of economic importance of sugar cane and sugar beet as they described as industrial crops they still face decreasing rates of production and productivity in Iraq , and their production was not able to satisfy the local industrial demands for sugar . Thus this study aimed at studying and analyzing, production and productivity of sugar cane and sugar beet in Iraq and this has been done by using non serial data that can be obtained from official offices in Iraq . The area and production of sugar cane in Iraq recorded positive annual growth rates during 1970- 1978 which were 6% and 5% consequently , while the productivity of sugar cane recorded at the same duration of time negative annual growth rate which was 1% , while they recorded

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Publication Date
Sun Mar 15 2020
Journal Name
Al-adab Journal
The Study and Analysis Grammatical of verbal sentence a fragment of "Zurita" (Leopoldo alas Clarín)
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This article deals with the study of theories about verbal periphrasis as a grammatical construction; the aim of this point it offers good and valid guidelines to improve the linguistic description. The interest in the subject comes from its importance in the process of language teaching for the students of Spanish and to clarify this type of curriculum of this research we analyzed a literary text. From "Zurita"

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Publication Date
Sun Jan 01 2017
Journal Name
Journal Of Clinical And Diagnostic Research
Treatment of Fistula-In-Ano with Tight (Cutting) Seton: Analysis of Outcomes and Efficacy Assessment
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Publication Date
Sun Jul 30 2023
Journal Name
Iraqi Journal Of Science
Analysis of Acetylcholinesterase Gene Expression in Male Mice Exposed to Sublethal Dose of Endosulfan Pesticide
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     The aim of the current study was to investigate endosulfan effects on the Acetylcholinesterase (AChE) enzyme and gene in albino mice. Thirty selected male albino mice were randomly divided into 3 groups. The first group was control group (G1), while the other two treated groups were injected intraperitoneally twice per week with two doses of endosulfanG2 (3 mg/kg) and G3 (17 mg/kg) for 21 and 45 days respectively. The results recorded a significant decrease in AChE enzyme in the group treated with 17 mg/kg b.wt. (3986.67 ±170.32 U/L),compared to the control (5584.33 ±140.35 U/L)and treatment group with 3 mg/kg b.wt.(5556.00 ±341.01) U/L for 21 days. Also, there was a significant decrease in the enzyme level

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Publication Date
Tue Mar 21 2023
Journal Name
International Journal Of Professional Business Review
Analysis of the Impact of Six Sigma and Risk Management on Iraq's Energy Sector Metrology
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Purpose: aims the study to show How to be can to enhance measurement management by incorporating a risk-based approach and the six sigma method into a more thorough assessment of metrological performance.   Theoretical framework: Recent literature has recorded good results in analyzing the impact of Six Sigma and risk management on the energy sector (Barrera García et al., 2022) (D'Emilia et al. 2015). However, this research came to validate and emphasize the most comprehensive assessment of metrological performance by integrating Risk management based approach and Six Sigma analysis.   Design/methodology/approach: This study was conducted in Iraqi petroleum refining companies. System quality is measured in terms of sigmas, and t

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