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Solving the multi-criteria: total completion time, total late work, and maximum earliness problem
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Within this research, The problem of scheduling jobs on a single machine is the subject of study to minimize the multi-criteria and multi-objective functions. The first problem, minimizing the multi-criteria, which include Total Completion Time, Total Late Work, and Maximum Earliness Time (∑𝐶𝑗, ∑𝑉𝑗, 𝐸𝑚𝑎𝑥), and the second problem, minimizing the multi-objective functions ∑𝐶𝑗 + ∑𝑉𝑗 +𝐸𝑚𝑎𝑥 are the problems at hand in this paper. In this study, a mathematical model is created to address the research problems, and some rules provide efficient (optimal) solutions to these problems. It has also been proven that each optimal solution for ∑𝐶𝑗 + ∑𝑉𝑗 + 𝐸𝑚𝑎𝑥 is an efficient solution to the problem (∑𝐶𝑗, ∑𝑉𝑗, 𝐸𝑚𝑎𝑥). Because these problems are NP-hard problems so it is difficult to determine the efficient (optimal) solution set for these problems so some special cases are shown and proven which find some efficient (optimal) solutions suitable for the discussed problem, and highlight the significance of the Dominance Rule (DR), which can be applied to this problem to enhance efficient solutions.

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Publication Date
Thu Dec 01 2011
Journal Name
Journal Of Economics And Administrative Sciences
Commercial banks in Iraq had applied in practice different forms of its activities upon surplus funds that deposited from individual, firms and many governments units
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These deposits take many forms like current acc, deposits in order to growth and serve national economy Various in varicose perspectives .

The problem of this paper its concern with un applied the mathematical models that used in profitability analysis of current acc , and deposits in view of risk, profit efficiency and financial leverage for this reason the paper discussion use the cumulate mathematical model to solve these problem, that content three variables that be used to measuring profitability by consequent replacement method by stable base and by moving base for 2007 – 2009 applied the data collect from Iraq middle east bank.           &nbs

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Publication Date
Wed Jan 15 2025
Journal Name
Journal Of Baghdad College Of Dentistry
An evaluation of canal transportation and centering ability at different levels of root canals prepared by self-adjusting file using computed tomography (A comparative study)
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Background: The new concepts and technologies continue to change the dynamics of endodontic practices in the world. Rapid and significant changes in techniques, instrument design, and the type of metals used to manufacture endodontic instruments which have been made during the last few years in an attempt to overcome canal preparation errors. The purpose of this study is to measure and compare canal transportation and centering ability of Self Adjusting File with two rotary nickel-titanium (Ni-Ti) systems, ProTaper and BioRaCe at different levels. Material and Methods: Forty five distal roots of mandibular first molars with moderate curvature were selected using Schneider method. Roots were divided randomly into 3 groups of 15 each and were

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Publication Date
Sun Oct 08 2023
Journal Name
الدراسات اللغوية والترجمية/translation Studies In Bait Al-hikma
Translating adjectives into Arabic in Chekhov’s story -ward No.6
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Chekhov is well known and perceived in Arab countries. His stories and plays are very popular. They translated it into Arabic by different translators from different languages of the world Many of his stories require new translation solutions to achieve partial, if not complete, equivalence. Chekhov's works are a very difficult subject to analyze and interpret, which is explained by the fact that Chekhov's collections are constantly republished in foreign languages. It is impossible to preserve in translation all the elements of the original text containing historical and national details but, of course, the reader should have the impression that they represent the historical and national situation. When translating, it makes sense to prese

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Publication Date
Fri Sep 30 2022
Journal Name
College Of Islamic Sciences
Thematic consistency in Surat Al-Gashiyah
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research aims: 1- Demonstrating an aspect of the rhetorical miracle of the Qur’an represented in the accuracy of its verses and the consistency of its topics. 2- Clarifying the intent of Surat Al-Ghashiya, and clarifying the link between the topics of the surah and its purpose. 3- Studying the topics included in Surat Al-Gashiya, and highlighting their consistency among them. 4- Referring to the gifts contained in the noble verses.Research Methodology: In preparing this study, I followed the inductive-analytical approach, according to the procedures outlined in the introduction.From the search results: 1- The purpose of Surat Al-Gashiya: Reminding the Hereafter and its scenes of reward

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Publication Date
Mon Sep 25 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Novel Approach of Oxidative Coupling Reaction with 1-Naphthol of the Simultaneous Metformin Drug Determination in Either Pharmaceutics Formulations or Environmental Samples of Water Using Homemade CFIA- Merging Zones Techniques
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A newly developed FIA-merging zones spectrophotometric system, the method is rapid, accurate and sensitive for metformin hydrochloride determination through the oxidation of 1- naphthol by sodium hypochlorite and coupling with metformin.HCl in the presence of sodium hydroxide to form a blue soluble ion pair   and this product was determined using homemade CFIA-Merging zones techniques , at 580 nm. Data treatment shows that linear range is (0.5-35) µg/ ml. The optimization conditions for various chemical and physical conditions of [MTF- NaOCl-α-naphthol-NaOH] system were investigated. The LOD was 0.01µg / ml and LOQ 0.1µg/ml from the lowest concentration of the calibration graph with r2% 99.18 and RSD% did

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Publication Date
Sun Apr 01 2012
Journal Name
2012 International Conference On Future Communication Networks
Efficient method to find the multiplicative inverse in GF (2<sup>m</sup>) using FPGA by exponentiation to (2<sup>k</sup>)
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Publication Date
Sun Apr 01 2012
Journal Name
2012 International Conference On Future Communication Networks
Efficient method to find the multiplicative inverse in GF (2<sup>m</sup>) using FPGA by exponentiation to (2<sup>k</sup>)
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Multiplicative inverse in GF (2 m ) is a complex step in some important application such as Elliptic Curve Cryptography (ECC) and other applications. It operates by multiplying and squaring operation depending on the number of bits (m) in the field GF (2 m ). In this paper, a fast method is suggested to find inversion in GF (2 m ) using FPGA by reducing the number of multiplication operations in the Fermat's Theorem and transferring the squaring into a fast method to find exponentiation to (2 k ). In the proposed algorithm, the multiplicative inverse in GF(2 m ) is achieved by number of multiplications depending on log 2 (m) and each exponentiation is operates in a single clock cycle by generating a reduction matrix for high power of two ex

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Publication Date
Sun Oct 22 2023
Journal Name
Iraqi Journal Of Science
New Approach for an On-Line Turbidimetric Determination of Cadmium (II) in Different River Water Via the Use of A homemade Ayah 6SX1-T-2D Solar-Continuous Flow Injection Analyser
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A newly developed analytical method characterized by its speed and sensitivity for
the determination of cadmium (II) in aqueous solution in three randomly chosen
samples from river water at different locations via turbidimetric measurement by
Ayah 6SX1-T-2D Solar - CFI analyser. The method is based on the formation of
yellowish white precipitate for the complex Cd3[Fe(CN)6]2 by direct reaction of the
cadmium (II) with potassium hexacyano ferrate (III) in aqueous medium. Turbidity
was measured via the reflection of incident light that collides on the surfaces
precipitated particles at 0-180o. Chemical and physical parameters were investigated.
Linear dynamic of cadmium (II) is ranged from 0.05-12 mmol.L-1, with cor

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Publication Date
Fri Apr 01 2016
Journal Name
Journal Of Economics And Administrative Sciences
التنبؤ بقيم السلاسل الزمنية بأستعمال أنموذج (ARMAX) مع تطبيق عملي
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Abstract :

          Researchers have great interest in studying the black box models this thesis has been focused in the study one of the black box models , a ARMAX model which is one of the important models and can be accessed through a number of special cases which models (AR , MA , ARMA, ARX) , which combines method of the time series that depend on historical data and and regression method as explanatory variables addition to that past errors , ARMAX model importance has appeared in many areas of application that direct contact with our daily lives , it consists of constructing ARMAX model several traditional stages of the process , a iden

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Publication Date
Fri May 05 2023
Journal Name
Journal Of Molecular Structure
Synthesis, spectral studies, DFT, biological evaluation, molecular docking and dyeing performance of 1-(4-((2-amino-5-methoxy)diazenyl)phenyl) ethanone complexes with some metallic ions
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Four Co(II), (C1); Ni(II), (C2); Cu(II), (C3) and Zn(II), (C4) chelates have been synthesized with 1-(4-((2-amino- 5‑methoxy)diazenyl)phenyl)ethanone ligand (L). The produced compounds have been identified by using spectral studies, elemental analysis (C.H.N.O), conductivity and magnetic properties. The produced metal chelates were studied using molar ratio as well as sequences contrast types. Rate of concentration (1 ×10􀀀 4 - 3 ×10􀀀 4 Mol/L) sequence Beer’s law. Compound solutions have been noticed height molar absorptivity. The free of ligand and metal chelates had been applied as disperse dyes on cotton fabrics. Furthermore, the antibacterial activity of the produced compounds against various bacteria had been investigated. F

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