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Finite Element Based Solution of Laplace's Equation Applied to Electrical Activity of the Human Body

Computer models are used in the study of electrocardiography to provide insight into physiological phenomena that are difficult to measure in the lab or in a clinical environment.

The electrocardiogram is an important tool for the clinician in that it changes characteristically in a number of pathological conditions. Many illnesses can be detected by this measurement. By simulating the electrical activity of the heart one obtains a quantitative relationship between the electrocardiogram and different anomalies.

Because of the inhomogeneous fibrous structure of the heart and the irregular geometries of the body, finite element method is used for studying the electrical properties of the heart.

This work describes the implementation of the Conjugate Gradient iterative method for the solution of large linear equation systems resulting from the finite element method. A diagonal Jacobi preconditioner is used in order to accelerate the convergence. Gaussian elimination is also implemented and compared with the Precondition Conjugate Gradient (PCG) method and with the iterative method. Different types of matrix storage schemes are implemented such as the Compressed Sparse Row (CSR) to achieve better performance. In order to demonstrate the validity of the finite element analysis, the technique is adopted to solve Laplace's equation that describes the electrical activity of the human body with Dirichlet and Neumann boundary conditions. An automatic mesh generator is built using C++ programming language.  Initially a complete finite element program is built to solve Laplace's equation. The same accuracy is obtained using these methods. The results show that the CSR format reduces computation time compared to the order format. The PCG method is better for the solution of large linear system (sparse matrices) than the Gaussian Elimination and back substitution method, while Gaussian elimination is better than iterative method.

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Publication Date
Mon Sep 30 2019
Journal Name
College Of Islamic Sciences
Fairness in the ancestral quarrel at the meeting of subordinate and representative metaphors

Having signed my eyes on the manuscript labeled (equity in the ancestral quarrel at the meeting of subordinate and representative metaphors) I was impressed by the process of achieving it; That manuscript came to light; to be seen by specialists in Arabic rhetoric and students of science, and supplement the library of rhetoric one of the sources ..

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Publication Date
Sun Mar 15 2020
Journal Name
Al-academy
The Image of Woman by the Artist Jaber Alwan: احلام عبد الستار شنين

The woman represents an existential dualism with the man along history. This existence has been manifested through the history of Art starting from the arts of the old civilizations until modernism. It must be said that the history of Art refers to her presence as an extension for this history in the oriental arts, and the Arab countries including Iraq.  The woman has varying outputs in terms of the content of her presence and the style of presentation. In her characterizations: maternity, fertility, femininity and others. The Iraqi artists adopted these fields among them the artist Jaber Alwan who formulated his style of presentation and its units depending on the feminine presence and his experience in her formal and stylistic fie

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Publication Date
Sun Sep 27 2020
Journal Name
Journal Of The College Of Education For Women
The Term Delay and its Jurisprudences in the Section of Punishments and Felonies

Different Arabic and Islamic societies are free of evil instincts. Therefore, certain provisions of legitimacy came to stress the importance of the intentions of sharia to achieve the interests of all people that involve several aspects, including the five fundamental things: religion, oneself, offspring, mind and money. Almighty Allah has specified certain punishments on those who violate these things by imposing punishments on the part of the criminal to preserve souls. He imposes the penalty of theft to preserve property, the Hadd punishment for adultery to preserve the symptoms, the punishment on the drunk to preserve the mind, and the Hadd punishment for the apostate to preserve the religion. By the adherence to these punishments li

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Publication Date
Tue Jan 14 2020
Journal Name
Journal Of Accounting And Financial Studies ( Jafs )
The role of housing finance policies in reducing the housing crisis in Iraq

Finance is considered as an important and essential element when developing any housing policy which has a basic role creation of channels and effective means of saving money for individuals and institutions involved in the construction of housing units , and in particular that there is a deficit of residential dramatically in Iraq offset by a significant decline in the rates of construction housing and the accumulation of housing need in the coming years , the importance lies of the subject in creating mechanism for financing this sector and the impact of such a mechanism in solving the problem of the deficit number of housing units, through studying the experiences of some countries in the policies of housing finance to take advantage

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Publication Date
Sun Dec 01 2002
Journal Name
Bulletin Of The Iraq Natural History Museum (p-issn: 1017-8678 , E-issn: 2311-9799)
SEASONAL CHANGES OF THE TESTES IN THE MARSH FROGE RANA RIDIBUNDA PALLAS, 1771

Samples of marsh frog included 148 sexually mature males were collected in Baghdad
from December 1992 to December 1993 to December 1993. The testis weight was expressed
as percentage of the body weight. The percent mean weights of testis were at their minimal
weight (0.255%) during April (spawning period).
Testis weight has increased until reached its greatest average weight in August (0.785%).
During the winter there is a slight decrease in weight with a more obvious fall at the spawning
months. From the results obtained from the present work on Rana ridibunda and from the
observations on annual cycle in testis weight of some temperate zone anurans we notice that
testes tend to be lowest after spawning and the te

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Publication Date
Sat Dec 01 2012
Journal Name
Iraqi Journal Of Science
The Effect of Metallicity on the AGB Stars Evolution by Using Synthetic Model

Abstract: Stars whose initial masses are between (0.89 - 8.0) M☉ go through an Asymptotic Giant Branch (AGB) phase at the end of their life. Which have been evolved from the main sequence phase through Asymptotic Giant Branch (AGB). The calculations were done by adopted Synthetic Model showed the following results: 1- Mass loss on the AGB phase consists of two phases for period (P <500) days and for (P>500) days; 2- the mass loss rate exponentially increases with the pulsation periods; 3- The expansion velocity VAGB for our stars are calculated according to the three assumptions; 4- the terminal velocity depends on several factors likes metallicity and luminosity. The calculations indicated that a super wind phase (S.W) developed on the A

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Publication Date
Thu Oct 20 2022
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
On the Double of the Emad - Falih Transformation and Its Properties with Applications

In this paper, we have generalized the concept of one dimensional Emad - Falih integral transform into two dimensional, namely, a double Emad - Falih integral transform. Further, some main properties and theorems related to the double Emad - Falih transform are established. To show the proposed transform's efficiency, high accuracy, and applicability, we have implemented the new integral transform for solving partial differential equations. Many researchers have used double integral transformations in solving partial differential equations and their applications. One of the most important uses of double integral transformations is how to solve partial differential equations and turning them into simple algebraic ones. The most important

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Publication Date
Tue Jun 30 2015
Journal Name
College Of Islamic Sciences
The freedom of practicing the scriptures for their rituals Between Shari'a and law

The Islamic nation accuses these days of cruelty and extremism, and this is not strange. Every nation comes out
Including the hardline and the extremist, but the self-pity is that these charges have become
It went beyond the example and the mercy of the gift that the Almighty said (and you are to create great)
Al-Qalam: 4, and accusing him of not touching him in dealing with the people of the book and others, so try
It is our humble quest to urge our small speeches to clarify the position of Islam and its Prophet (peace and blessings of Allaah be upon him)
And deal with all human beings, and to show the low level of rights that our prophet has proved
Western laws are parts of his administration and adopted in the field

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Publication Date
Sun Oct 01 2017
Journal Name
Journal Of Economics And Administrative Sciences
THE MACROECONOMIC ENVIRANMENT OF THE FOOD INDUSTRY IN IRAQ AND ITS FUTURE PROSPECTS

Food industries are variety to include number of agricultural products (plantbotential and animal) which can be manufactured locally, thus, Iraqi market is full by different types of food products from neighbor countries, because of un equivalence and inability of competence, in away to cover (90%) average of local request need under commercial  opening.

In Iraq although its importance, this industry suffers from difficulties, the most important one is the rising  in  products costs, shortage in agricultural products, experience, and qualification, besides, the challenges , by flooding market in food products and what are contained of higher competitive features from quality and prices side

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Publication Date
Tue May 01 2018
Journal Name
Journal Of Physics: Conference Series
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