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Commuting Involution Graphs for Certain Exceptional Groups of Lie Type
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Abstract<p>Suppose that <italic>G</italic> is a finite group and <italic>X</italic> is a <italic>G</italic>-conjugacy classes of involutions. The commuting involution graph <inline-formula><alternatives><tex-math>$${\mathcal {C}}(G,X)$$</tex-math><math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mrow> <mi>C</mi> <mo>(</mo> <mi>G</mi> <mo>,</mo> <mi>X</mi> <mo>)</mo> </mrow> </math></alternatives></inline-formula> is the graph whose vertex set is <italic>X</italic> with <inline-formula><alternatives><tex-math>$$x, y \in X$$</tex-math><math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mrow> <mi>x</mi> <mo>,</mo> <mi>y</mi> <mo>∈</mo> <mi>X</mi> </mrow> </math></alternatives></inline-formula> being joined if <inline-formula><alternatives><tex-math>$$x \ne y$$</tex-math><math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mrow> <mi>x</mi> <mo>≠</mo> <mi>y</mi> </mrow> </math></alternatives></inline-formula> and <inline-formula><alternatives><tex-math>$$xy = yx$$</tex-math><math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mrow> <mi>x</mi> <mi>y</mi> <mo>=</mo> <mi>y</mi> <mi>x</mi> </mrow> </math></alternatives></inline-formula>. Here for various exceptional Lie type groups of characteristic two we investigate their commuting involution graphs.</p>
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Publication Date
Wed Feb 16 2022
Journal Name
Journal Of Economics And Administrative Sciences
Solving Resource Allocation Model by Using Dynamic Optimization Technique for Al-Raji Group Companies for Soft Drinks and Juices
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In this paper, the problem of resource allocation at Al-Raji Company for soft drinks and juices was studied. The company produces several types of tasks to produce juices and soft drinks, which need machines to accomplish these tasks, as it has 6 machines that want to allocate to 4 different tasks to accomplish these tasks. The machines assigned to each task are subject to failure, as these machines are repaired to participate again in the production process. From past records of the company, the probability of failure machines at each task was calculated depending on company data information. Also, the time required for each machine to complete each task was recorded. The aim of this paper is to determine the minimum expected ti

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Publication Date
Sat Feb 01 2020
Journal Name
Journal Of Economics And Administrative Sciences
Applying some hybrid models for modeling bivariate time series assuming different distributions for random error with a practical application
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Abstract

  Bivariate time series modeling and forecasting have become a promising field of applied studies in recent times. For this purpose, the Linear Autoregressive Moving Average with exogenous variable ARMAX model is the most widely used technique over the past few years in modeling and forecasting this type of data. The most important assumptions of this model are linearity and homogenous for random error variance of the appropriate model. In practice, these two assumptions are often violated, so the Generalized Autoregressive Conditional Heteroscedasticity (ARCH) and (GARCH) with exogenous varia

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Publication Date
Mon Oct 01 2012
Journal Name
Al–bahith Al–a'alami
Semantic Confusion of the Term in Cultural Pages for Students of College of Arts (University of Baghdad)
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The research is exposed to an important issue, related to communication obstacles that prevent the media message contained in cultural topics published in local newspapers to reach the hands of the readers; or related to lack of awareness of aspects of that media message, Because it contains immersed vocabulary in elitism where, sometime, the average reader of the newspaper of medium-sized educated, and even the academic reader are unable to decode it and understand its significance.

After determining the problem of the study and the tools that the researcher wants to use to accomplish his research, a sample of students of college of Arts at the University of Baghdad was selected. As they are clo

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Publication Date
Sat Jun 28 2025
Journal Name
Journal Of Physical Education
The effect of using the strategy Learning by playing for some skills handball patting According to the curriculum for female students Second stage, College of Physical Education and Sports Sciences, University of Baghdad
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The aim of the research was to identify  On the effect of the learning-by-play strategy on learning some handball skills among second-stage female students,Comparing the results of students' performance before and after implementing the learning by playing strategy,Providing development proposals for teaching handball skills in light of the research results.,I dependresearcherCurriculumexperimentalIn research procedures as an appropriate approach to achieving research objectives,For two groups, one experimental and the other control,Community of female studentsSecondFor the academic year 2024-2025, consisting of (4Female people (numbering)151) StudentChosen.Research sample30 female students from Section (B) were selected and (4) fe

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Publication Date
Tue Jun 15 2021
Journal Name
Al-academy
The Relations Of Design And The Role Of It Making The Idea For Fashion Design
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Publication Date
Mon Sep 09 2024
Journal Name
Научный Форум
the functioning of artificial intelligence for the development of communication skills among foreigners learning Russian
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Publication Date
Wed Mar 10 2021
Journal Name
Baghdad Science Journal
Study for evidence of bacteria contamination in the southern part of the Diyala River / Iraq
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Were studied some bacteria evidence of pollution as well as the total number of live bacteria in the waters of the Diyala river and selected five stations within the 17 km final Diyala River before its mouth in the Tigris River was the first before the new bridge of the Diyala River about 4 km and the second after the mouth of the water purification plant Rustumiya suit inverselywith temperatures

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Publication Date
Sat Jan 12 2019
Journal Name
Journal Of The College Of Education For Women
STUDY THE CHARACATERISTIC OF SOILS TO DETERMINE SOME TYPES OF LANDS DEGRADATION FOR MAHMUDIYA DISTRICT
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This study comprised three traverses extending parallel through the Northern, Central and Southern Mahmudiya districts, and perpendicular to the course of the Euphrates River. They were identified to collect (15) soil samples and some water samples as distributed within the land cover classes of the study area. Those classes were determined by visual interpretation and supervised classification for Landsat (TM) images obtained in August/2007. The digital classification was based on Maximum Likelihood method using six spectral bands excluding the thermal band. Chemical and physical laboratory analysis for the soil characteristics was performed to determine the types of land degradation in the study area.
The results showed that the hig

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Publication Date
Wed Jul 19 2017
Journal Name
International Journal Of Advances In Chemical Engineering And Biological Sciences
Detection of Aflatoxin M1 in Pasteurized Canned Milk and Using of UV Radiation for Detoxification
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The current study was designed to investigate the presence of aflatoxin M1 in 25 samples of pasteurized canned milk which collected randomly from some Iraqi local markets using ELISA technique. Aflatoxin M1 was present in 21 samples, the concentration of aflatoxin M1 ranged from (0.25-50 ppb). UV radiation (365nm wave length) was used for detoxification of aflatoxin M1 (sample with highest concentration /50 ppb of aflatoxin M1 in two different volumes ((25 & 50 ml)) for two different time (15 & 30 min) and 30, 60, 90 cm distance between lamp and milk layer were used for this purpose). Results showed that distance between lamp and milk layer was the most effective parameter in reduction of aflatoxin M1, and whenever the distance increase the

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Publication Date
Sat Oct 01 2016
Journal Name
2016 Ieee Nuclear Science Symposium, Medical Imaging Conference And Room-temperature Semiconductor Detector Workshop (nss/mic/rtsd)
Comparison of columnar and pixelated scintillators for small field of view hybrid gamma camera imaging
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