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Solving of Chromatic Number, Chromatic Polynomial and Chromaticity for a Kind of 6-Bridge Graph Using Maplesoft

Maplesoft is a technical computation forms which is a heart of problem solving in mathematics especially in graph theory. Maplesoft has established itself as the computer algebra system for researchers. Maplesoft has more mathematical algorithms which is covering a wide range of applications. A new family ( ) of 6-bridge graph still not completely solved for chromatic number, chromatic polynomial and chromaticity. In this paper we apply maplesoft on a kind of 6-bridge graph ( ) to obtain chromatic number, chromatic polynomial and chromaticity. The computations are shown that graph contents 3 different colours for all vertices, 112410 different ways to colour a graph such that any two adjacent vertices have different colour by using 3 different colour, graph has isomorphic graph which has same chromatic polynomial of graph . The odd number of vertices located in one of these bridges made chromatic number 3. The chromatic number was the important factor that made the number of way 112410. A bijection function created isomorphic graph to graph and the chromatic polynomial of was ( ) ( ).

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Publication Date
Sat Jul 01 2023
Journal Name
Iraqi Journal Of Veterinary Sciences
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Publication Date
Fri Sep 30 2022
Journal Name
Iraqi Journal Of Science
Computer Vision of Optimal Geometric Concentration Ratio for the Solar Ball Lens

      This research evaluates the optical properties of an inhomogeneous and non-paraxial system using a solar ball lens (SBL) as a new thermal solar concentrated collector. This evaluation is based on detecting a diacaustic curve in a straightforward and accurate manner, with the diagnostic relying on image processing as a computational tool using the MATLAB program rather than a complicated numerical analytic procedure. The circle of least confusion (CLC) of the (SBL), (Fluorinated ethylene propylene (FEP) polymer – water core), was calculated. Furthermore, the study evaluated the maximum geometrical concentration ratio (G C) of refracted solar radiation that can be captured by a receiver of the (SBL). Without energy losses due

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Publication Date
Tue Dec 05 2023
Journal Name
Baghdad Science Journal
Application of Sulfur-2,4-dinitrophenylhydrazine as Modifier for Producing an Advantageous Concrete

In this investigative endeavor, a novel concrete variety incorporating sulfur-2,4-dinitrophenylhydrazine modification was developed, and its diverse attributes were explored. This innovative concrete was produced using sulfur-2,4-dinitrophenylhydrazine modification and an array of components. The newly created sulfur-2,4-dinitrophenylhydrazine modifier was synthesized. The surface texture resulting from this modifier was examined using SEM and EDS techniques. The component ratios within concrete, chemical and physical traits derived from the sulfur-2,4-dinitrophenylhydrazine modifier, chemical and corrosion resistance of concrete, concrete stability against water absorption, concrete resilience against freezing, physical and mechanical p

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Publication Date
Fri Apr 01 2022
Journal Name
Baghdad Science Journal
Positive Definiteness of Symmetric Rank 1 (H-Version) Update for Unconstrained Optimization

Several attempts have been made to modify the quasi-Newton condition in order to obtain rapid convergence with complete properties (symmetric and positive definite) of the inverse of  Hessian matrix (second derivative of the objective function). There are many unconstrained optimization methods that do not generate positive definiteness of the inverse of Hessian matrix. One of those methods is the symmetric rank 1( H-version) update (SR1 update), where this update satisfies the quasi-Newton condition and the symmetric property of inverse of Hessian matrix, but does not preserve the positive definite property of the inverse of Hessian matrix where the initial inverse of Hessian matrix is positive definiteness. The positive definite prope

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Publication Date
Thu Oct 31 2019
Journal Name
Al-kindy College Medical Journal
Stethoscope as potential occupational hazards for intra hospital carries of pathogenic microorganisms

Background: The stethoscope is a tool that doctors use daily in the examination of patients and  it  can take part in the transmission of health care-associated infections. In a single day it may come in direct contact with multiple patients and the intra hospital environment  may be contaminated by various type of bacteria and possibly transmit to others.

Objective:- The study was to know the attitude and knowledge about   the stethoscope hygiene behavior among physicians  and to determine the types of  bacterial agents that can contaminate stethoscopes.

Type of the study: The study was a cross-sectional study

Metho

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Publication Date
Mon Dec 01 2014
Journal Name
2014 Ieee Student Conference On Research And Development
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Publication Date
Tue May 01 2018
Journal Name
Journal Of Physics: Conference Series
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Publication Date
Mon May 22 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Evaluation of The Nuclear Data on(α,n)Reaction for Natural Molybdenum

The cross section evaluation for (α,n) reaction was calculated according to the available International Atomic Energy Agency (IAEA) and other experimental published data . These cross section are the most recent data , while the well known international libraries like ENDF , JENDL , JEFF , etc.   We considered an energy range from threshold to 25 MeV in interval (1 MeV).   The average weighted cross sections for all available experimental and theoretical(JENDL) data and for all the considered isotopes was calculated . The cross section of the element is then calculated according to the cross sections of the isotopes of that element taking into account their abundance . A mathematical representative equation for eac

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Publication Date
Fri Dec 01 2023
Journal Name
Caspian Journal Of Environmental Sciences
Assessment of indoor air quality for closed cafés in Baghdad City, Iraq

The phenomenon of young people frequenting closed cafes spread in Baghdad to smoke hookahs and cigarettes has increased. This phenomenon is associated with unemployment, an increase in leisure time and the deterioration of economic conditions. This phenomenon has an impact on indoor air quality and exposes workers to the risk of exposure to various pollutants, including particulate matter, therefore, we examined some indicators (PM2.5, PM10) IAQ for a month in summer and another month in winter in six different locations in the Rusafa district. PM2.5 and PM10 concentrations, relative humidity (RH) and temperatures were measured using (Multifunction Air Quality Detector BENETECH -China). The results showed an increase in temperatures inside

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Publication Date
Sun Feb 03 2019
Journal Name
Journal Of The College Of Education For Women
Estimate the risk of runoff for six basins in the western plateau

The research risk of flooding on six water basins located in the eastern part of the western plateau, reached total area of the basin (22,998.9 km 2), has reached all the Basin area (basin to time 7056.1 km2 basin by 3585 km 2, Bath Alheiazi 6404 km 2, Abu beasts 544.1 km2 basin Abu Shannan 144.6 km 2, Bath Valley Faraj 5265.1 km 2), where it was specifically spatial degree of this risk by studying some of the hydrological basin transactions directly related to operations spate runoff study area and the occurrence of flood risks on the surface of ponds.

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