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Publication Date
Fri Jun 30 2023
Journal Name
Iraqi Journal Of Science
Volume
64
Issue Number
6
DOI
10.24996/ijs.2023.64.6.25
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Scopus (1)
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ijs-6836
Triple Γ-Homomorphisms and Bi - Γ -Derivations on Jordan Γ-algebra
Derivation
Jordan algebra
Triple homomorphism
Centroid
Rajaa C.
Hasan R.
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In this paper, we introduce the concept of Jordan  –algebra, special Jordan  –algebra and triple  –homomorphisms. We also introduce Bi -  –derivations and Annihilator of Jordan algebra. Finally, we study the triple  –homomorphisms and Bi -  –derivations on Jordan algebra.

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Publication Date
Sun Sep 01 2019
Journal Name
Al-dhad Book Store
Multivariate Analysis - First Edition
matrix algebra
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Characteristic root
Eigen value
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Multivariate Normal Distribution.
Omar Abdulmohsin
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This Book is intended to be textbook studied for undergraduate course in multivariate analysis. This book is designed to be used in semester system. In order to achieve the goals of the book, it is divided into the following chapters. Chapter One introduces matrix algebra. Chapter Two devotes to Linear Equation System Solution with quadratic forms, Characteristic roots & vectors. Chapter Three discusses Partitioned Matrices and how to get Inverse, Jacobi and Hessian matrices. Chapter Four deals with Multivariate Normal Distribution (MVN). Chapter Five concern with Joint, Marginal and Conditional Normal Distribution, independency and correlations. Many solved examples are intended in this book, in addition to a variety of unsolved relied pro

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Publication Date
Fri Feb 01 2019
Journal Name
Al-dhad - Book Store And Publishing
Multivariate Analysis (First Edition)
matrix algebra
Linear Equation System
Characteristic root
Eigen value
vectors
Partitioned Matrices
Jacobian Matrix
Hessian matrix
Multivariate Normal Distribution
Omar Abdulmohsen
Asmaa Ghalib
Nabila
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This Book is intended to be textbook studied for undergraduate course in multivariate analysis. This book is designed to be used in semester system. In order to achieve the goals of the book, it is divided into the following chapters. Chapter One introduces matrix algebra. Chapter Two devotes to Linear Equation System Solution with quadratic forms, Characteristic roots & vectors. Chapter Three discusses Partitioned Matrices and how to get Inverse, Jacobi and Hessian matrices. Chapter Four deals with Multivariate Normal Distribution (MVN). Chapter Five concern with Joint, Marginal and Conditional Normal Distribution, independency and correlations. Many solved examples are intended in this book, in addition to a variety of unsolved relied pro

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Publication Date
Tue Mar 01 2022
Journal Name
Iraqi Journal Of Agricultural Sciences
CORRELATION OF TMPRSS2-ERG GENE FUSION STATUS WITH CLINICOPATHOLOGICAL CHARACTERISTICS IN PROSTATE CANCER OF IRAQI PATIENTS
The aim of this study was to establish the existence and interaction of TMPRSS2 – ERG gene fusion status with clinicopathological features of prostate cancer patients. This research consisted of 123 embedded formalin-fixed tissues obtained from the prostate tumor patients. The above gene fusion is detected through the technique of fluorescent in situ hybridization (FISH) by means of a triple color probe. Seven samples have not been scored due to technical difficulties and 46 patients have fusion (39.6%)
while the remaining (70) have not been seen with fusion. Of the 46 fusion-positive
17 (36%) were caused by ERG-translocation
of the other 29 (63%) were caused by the interstitial segment deletion between the two genes due to their sequential position. In order to find a substantial correlation between 116 patients (fusion took place in 46 and non-fusion in 70) with clinicopathological features
the following findings were calculated: Our findings recorded non-significant correlation at age
BMI and tumor size at which (P-value >0.05).While results showed significant association with: pathological T stage (P value = 0.011)
Gleason score (P value = 0.002)
perineural invasion (P value = 0.047) and PSA (P value = 0.033). The clinicopathological features which had a considerable correlation with fusion status are very important as they aid the doctors in prognosis and treatment of such tumor.
Ammar
Maha
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