Due to its importance in physics and applied mathematics, the non-linear Sturm-Liouville problems
witnessed massive attention since 1960. A powerful Mathematical technique called the Newton-Kantorovich
method is applied in this work to one of the non-linear Sturm-Liouville problems. To the best of the authors’
knowledge, this technique of Newton-Kantorovich has never been applied before to solve the non-linear
Sturm-Liouville problems under consideration. Accordingly, the purpose of this work is to show that this
important specific kind of non-linear Sturm-Liouville differential equations problems can be solved by
applying the well-known Newton-Kantorovich method. Also, to show the efficiency of applying this method
to solve these problems, a comparison is made in this paper between the Newton-Kantorovich method and the
Adomian decomposition method applied to the same non-linear Sturm-Liouville problems under consideration
in this work. As a result of this comparison, the results of the Newton-Kantorovich method agreed with the
results obtained by applying Adomian’s decomposition method.
The study deals with the issue of multi-choice linear mathematical programming. The right side of the constraints will be multi-choice. However, the issue of multi-purpose mathematical programming can not be solved directly through linear or nonlinear techniques. The idea is to transform this matter into a normal linear problem and solve it In this research, a simple technique is introduced that enables us to deal with this issue as regular linear programming. The idea is to introduce a number of binary variables And its use to create a linear combination gives one parameter was used multiple. As well as the options of linear programming model to maximize profits to the General Company for Plastic Industries product irrigation sy
... Show MoreThis paper presents a new algorithm in an important research field which is the semantic word similarity estimation. A new feature-based algorithm is proposed for measuring the word semantic similarity for the Arabic language. It is a highly systematic language where its words exhibit elegant and rigorous logic. The score of sematic similarity between two Arabic words is calculated as a function of their common and total taxonomical features. An Arabic knowledge source is employed for extracting the taxonomical features as a set of all concepts that subsumed the concepts containing the compared words. The previously developed Arabic word benchmark datasets are used for optimizing and evaluating the proposed algorithm. In this paper,
... Show More. The Larsa dynasty was one of the contemporary Amorite dynasties that disputed sovereignty in the Old Babylonian era, along with other dynasties such as Isin - First Babylon - Eshnunna - Ashur - Mari - Uruk - Kish - Kisura - Kazalu and Manana. It can be considered the first of these dynasties, which were founded at the end of the era of the Third Ur Dynasty during the time of its last ruler, Ibi-Sin. It was founded by one of the sheikhs of the Amorite tribes. The rule of the Larsa dynasty lasted about 262 years, from 2025 BC to 1763 BC, during which 16 rulers and kings ruled, some of whom achieved wide fame and some of whom did not, depending on their strength and achievements, according to what has reached us through their date formulas
... Show MoreThis paper deals with the Kufis and basris agreements in Abo Al _ Barakat Al _ anbary’s
work “ Al- Insaf Fi Masael Al - Khilaf.It attempts to settle the disputes and find out the right
views.
The book presents the issnes that the two schools of Kufa and Basra dispute upon and try to
evaluate them so as to support the correct ones .The present researcher has noticed that the
author of the above work was not always right or accurate in picturing a number of issues as
disputable whereas they implicitly shared the same views .Accordingly ,this papor sheds light
on such cases and drew acadernic researchers, attention to the invalidity of Al –anbary’s
misjudged views.
In this paper, the effect size measures was discussed, which are useful in many estimation processes for direct effect and its relation with indirect and total effects. In addition, an algorithm to calculate the suggested measure of effect size was suggested that represent the ratio of direct effect to the effect of the estimated parameter using the Regression equation of the dependent variable on the mediator variable without using the independent variable in the model. Where this an algorithm clear the possibility to use this regression equation in Mediation Analysis, where usually used the Mediator and independent variable together when the dependent variable regresses on them. Also this an algorithm to show how effect of the
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