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Generalization of Gamma and Beta Functions with Certain Properties and Statistical Application
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     This work is devoted to define new generalized gamma and beta functions involving the recently suggested seven-parameter Mittag-Leffler function, followed by a review of all related special cases. In addition, necessary investigations are affirmed for the new generalized beta function, including, Mellin transform, differential formulas, integral representations, and essential summation relations. Furthermore, crucial statistical application has been realized for the new generalized beta function.  

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Publication Date
Thu May 25 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Multipole Mixing Ratios of Gamma Rays From Fe(n,nγ) Fe 56 56 26 26  Reaction Using Constant Statistical Tensor Method (CST).
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The - Multiple mixing ratios of -transitions from levels of 56Fe populated in 56 56 ( , ) Fe n n Fe  ï‚¢ reactions are calculated by using const. S.T.M.  This method has been used in other works [3,7] but with pure transition or with  transitions that can be considered as pure transitionsØŒ in our work we used   This method for mixed  - transitions in addition to pure  - transitions. The experimental angular distribution coefficients a2 was used from previous works [1] in order to calculet - values. It is clear from the results that the - values are in good agreement or consistent, within associated errors, with those reported previously [1]. The discrepancies that occur

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Publication Date
Tue Mar 30 2021
Journal Name
Journal Of Economics And Administrative Sciences
Some Estimation for the Parameters and Hazard Function of Kummer Beta Generalized Normal Distribution
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Transforming the common normal distribution through the generated Kummer Beta model to the Kummer Beta Generalized Normal Distribution (KBGND) had been achieved. Then, estimating the distribution parameters and hazard function using the MLE method, and improving these estimations by employing the genetic algorithm. Simulation is used by assuming a number of models and different sample sizes. The main finding was that the common maximum likelihood (MLE) method is the best in estimating the parameters of the Kummer Beta Generalized Normal Distribution (KBGND) compared to the common maximum likelihood according to Mean Squares Error (MSE) and Mean squares Error Integral (IMSE) criteria in estimating the hazard function. While the pr

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Publication Date
Sun Apr 30 2023
Journal Name
Iraqi Journal Of Science
Certain Types of Weakly Closed Function
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The purpose of this paper is to give the condition under which every weakly closed
function is closed and to give the condition under which the concepts of weaklysemi
closed function and weakly pre-closed function are equivalent. Moreover,
characterizations and properties of weakly semi closed functions and weakly preclosed
function was given.

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Publication Date
Sun Mar 06 2011
Journal Name
Baghdad Science Journal
The Relationships between Relatively Cancellation Modules and Certain Types of Modules
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Let R be a commutative ring with identity and M be unitary (left) R-module. The principal aim of this paper is to study the relationships between relatively cancellation module and multiplication modules, pure submodules and Noetherian (Artinian) modules.

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Publication Date
Sat Jul 03 2021
Journal Name
Periodicals Of Engineering And Natural Sciences (pen)
Comparison between VG-levy and Kernel function estimation with application
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Publication Date
Tue Jan 01 2019
Journal Name
Energy Procedia
The relationship of Nuclear Decay Methods (alpha and beta) Particles with the Nuclear Deformation for Nuclei inUranium-238 and Thorium -232 Series
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Publication Date
Tue Sep 25 2018
Journal Name
Iraqi Journal Of Science
Estimation of Levels of Interleukin-1 beta and Interleukin-10 in Sera of some Iraqi Patients with Chronic Rheumatoid Arthritis
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Serum samples were obtained from patients suffering from chronic Rheumatoid Arthritis (RA) disease. They were divided into three groups; 20 patients with RA taking biological treatment Etanercept (Enbrel), 20 patients with RA not taking biological treatment (disease modifying anti-rheumatic drug) and 10 people as healthy control group. The ages of these patients and control group were between 46-50 years old; one male and 19 female in each group. The samples were used for measuring the levels of Interleukin (IL)-1 Beta and Interleukin-10 using the Enzyme Linked Immunosorbent Assay technique. Both interleukins were at their highest levels in the group of RA patients treated with biological treatment followed by the RA patients group that

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Publication Date
Tue Jan 04 2022
Journal Name
Iraqi Journal Of Science
On Weakly Soft Omega Open Functions and Weakly Soft Omega Closed Functions in Soft Topological Spaces
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The main purpose from this paper is to introduce a new kind of soft open sets in soft
topological spaces called soft omega open sets and we show that the collection of
every soft omega open sets in a soft topological space (X,~,E) forms a soft topology
  ~
on X which is soft finer than  ~
. Moreover we use soft omega open sets to define
and study new classes of soft functions called weakly soft omega open functions and
weakly soft omega closed functions which are weaker than weakly soft open functions
and weakly soft closed functions respectively. We obtain their basic properties, their
characterizations, and their relationships with other kinds of soft functions between
soft topological spaces.<

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Publication Date
Mon Aug 01 2022
Journal Name
Baghdad Science Journal
Lymphocytes Prediction of Homeostasis Model Assessment of Beta-cells Function (HOMA-B) and C-peptide Level during Pregnancy: New Insight into Beta-cells Proliferation and Insulin Sensitivity
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This work aims to detect the associations of C-peptide and the homeostasis model assessment of beta-cells function (HOMA2-B%) with inflammatory biomarkers in pregnant-women in comparison with non-pregnant women. Sera of 28 normal pregnant women at late pregnancy versus 27 matched age non-pregnant women (control), were used to estimate C-peptide, triiodothyronine (T3), and thyroxin (T4) by Enzyme-linked-immunosorbent assay (ELISA), fasting blood sugar (FBS) by automatic analyzer Biolis 24i, hematology-tests by hematology analyzer and the calculation of HOMA2-B% and homeostasis model assessment of insulin sensitivity (HOMA2-S%) by using C-peptide values instead of insulin. The comparisons, correlations, regression analysis tests were perfo

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Publication Date
Sat Jun 01 2013
Journal Name
Journal Of The College Of Basic Education
Beta-2-Microglobulin as a Biomarker in Iraqi Female Patients with Autoimmune Thyroid and Renal Autoimmune Thyroid Diseases
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The present study was performed on 80 female subjects between (30-60) years, who attended the Specialized Center for Endocrinology and Diabetes during the period from April to July; 2011. The subjects were divided into 3 groups : controls , non diabetic autoimmune thyroid patients , and non diabetic autoimmune thyroid patient with renal diseases as complication The results showed a significant increase in serum T 3 T4 levels in hyperthyroidism patients, and significant decrease in serum T3,T4 levels in hypothyroidism patients ,while a significant difference in serum TSH levels in hyperthyroidism and hypothyroidism patients when compared to control group The results show also a significant increase in serum antibodies to thyroid peroxidas

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