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

José Echegaray, dramaturgo español, obtuvo premio Nóbel de literatura en (1904), político, orador, economista y dramaturgo. Con su obra "El gran Galeoto" en 1881, llegó a la cumbre de la popularidad.
Henrik Ibsen, dramaturgo noruega, creador del drama moderno, por sus obras realistas que abordan problemas psicológicos y sociales. Y a que fue el iniciador del teatro de tesis del teatro social. Ibsen, dramaturgo noruega, cuya obra influyó notablemente en el teatro europeo de finales del s. XIX y principios del XIX ; en gran parte en la obra de Echegaray, Galdós (1) y Benavente (2).
Los presentes autores empezaron sus producciones bajo el romanticismo que fue poco a poco añadiendo ideas del naturalismo y el realismo dramátic

José Echegaray, dramaturgo español, obtuvo premio Nóbel de literatura en (1904), político, orador, economista y dramaturgo. Con su obra "El gran Galeoto" en 1881, llegó a la cumbre de la  popularidad.

   Henrik Ibsen, dramaturgo noruega, creador del drama moderno, por sus obras realistas que abordan problemas psicológicos y sociales. Y a que fue el iniciador del teatro de tesis del teatro social. Ibsen, dramaturgo noruega, cuya obra influyó notablemente en el teatro europeo de finales del s. XIX y principios del XIX ; en gran parte en la obra de Echegaray, Galdós (1) y Benavente (2).

   Los presentes autores empezaron sus producciones bajo el romanticismo que fue poco a poco añadiendo ide

The bit record is a part from the daily drilling report which is contain information about the type and the number of the bit that is used to drill the well, also contain data about  the used weight on bit  WOB ,revolution per minute RPM , rate of penetration ROP, pump pressure ,footage drilled and bit dull grade. Generally we can say that the bit record is a rich brief about the bit life in the hole. The main purpose of this research is to select the suitable bit to drill the next oil wells because the right bit selection avoid us more than one problems, on the other hand, the wrong bit selection cause more than one problem. Many methods are related to bit selection, this research is familiar with four of thos

An annotated list based both on personal collections and on literature records, is presented for twenty species and subspecies of Chrysomelinae from Iraq. Eight of which are newly recorded, bringing the total number of species and subspecies for Iraq to 25. Localities and host data are given for most species.

    A total of 533 specimens were collected in survey of Brachyceran species from different regions of Iraq during February to November 2014 .This study was reported 16 species belonging to 13 genera and 7 families, the results showed that Dicranosepsis Duda, 1926 (Family; Sepsidae) is  recorded the genus  for the first time in Iraq.

This work is the first study of the Curculionoidea fauna from Kurdistan region of Iraq, based on the intensive survey in different localities of Kurdistan from March 2016 to November 2017. In total, 41 species belonging to 28 genera, 21 tribes and 3 families were collected and identified, including 25 species newly recorded for the Iraqi fauna.

General distribution, collecting localities and methods, with plant association data for each species are given.

     In this paper we prove that the planar self-assembling micelle system

 has no Liouvillian, polynomial and Darboux first integrals. Moreover, we show that the system

has only one irreducible Darboux polynomial  with the cofactor being   if and only if  via  the weight homogeneous polynomials and  only two irreducible exponential factors  and  with  cofactors    and   respectively with be the unique Darbox invariant of system.

For many problems in Physics and Computational Fluid Dynamics (CFD), providing an accurate approximation of derivatives is a challenging task. This paper presents a class of high order numerical schemes for approximating the first derivative. These approximations are derived based on solving a special system of equations with some unknown coefficients. The construction method provides numerous types of schemes with different orders of accuracy. The accuracy of each scheme is analyzed by using Fourier analysis, which illustrates the dispersion and dissipation of the scheme. The polynomial technique is used to verify the order of accuracy of the proposed schemes by obtaining the error terms. Dispersion and dissipation errors are calculated

    Aims current research to identify the mistakes coding contained in the reading first grade. Encoding knew that he had failed in Retrieval or identifying information, the researcher diagnosis of mistakes and presented to a group of teachers first grade and they have an appropriate adjustment and using the percentage shows that the agreement on the mistakes ratio and adjusted researcher recommended a set of proposals and recommendations can work out the future for the advancement of scientific level