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 problems at the end of each chapter to enrich the statistical knowledge of our students.
Highly plastic soils exhibit unfavorited properties upon saturation, which produce different defects in engineering structures. Attempts were made by researchers to proffer solutions to these defects by experimenting in practical ways. This included various materials that could possibly improve the soil engineering properties and reduce environmental hazards. This paper investigates the strength behavior of highly plastic clay stabilized with brick dust. The brick dust contents were 10%, 20%, and 30% by dry weight of soil. A series of linear shrinkage and unconfined compression tests were carried out to study the effect of brick dust on the quantitative amount of shrinkage experienced by highly plastic clay and the undra
... Show MoreThis study emphasizes the infinite-boundary integro-differential equation. To examine the approximate solution of the problem, two modified optimization algorithms are proposed based on generalized Laguerre functions. In the first technique, the proposed method is applied to the original problem by approximating the solution using the truncated generalized Laguerre polynomial of the unknown function, optimizing coefficients through error minimization, and transforming the integro-differential equation into an algebraic equation. In contrast, the second approach incorporates a penalty term into the objective function to effectively enforce boundary and integral constraints. This technique reduces the original problem to a mathematical optimi
... Show MoreThis article deals with the approximate algorithm for two dimensional multi-space fractional bioheat equations (M-SFBHE). The application of the collection method will be expanding for presenting a numerical technique for solving M-SFBHE based on “shifted Jacobi-Gauss-Labatto polynomials” (SJ-GL-Ps) in the matrix form. The Caputo formula has been utilized to approximate the fractional derivative and to demonstrate its usefulness and accuracy, the proposed methodology was applied in two examples. The numerical results revealed that the used approach is very effective and gives high accuracy and good convergence.
The equation of Kepler is used to solve different problems associated with celestial mechanics and the dynamics of the orbit. It is an exact explanation for the movement of any two bodies in space under the effect of gravity. This equation represents the body in space in terms of polar coordinates; thus, it can also specify the time required for the body to complete its period along the orbit around another body. This paper is a review for previously published papers related to solve Kepler’s equation and eccentric anomaly. It aims to collect and assess changed iterative initial values for eccentric anomaly for forty previous years. Those initial values are tested to select the finest one based on the number of iterations, as well as the
... Show MoreSummary:The anatomy of the arterial and venous vessels of the mammalian oviduct is well describedin women and in laboratory and farm animals. The arteries are derived from the ovarian anduterine stems; the relative contribution of these vessels, however, or variations in that contributionwith the menstrual or estrus cycle and/or gamete or embryo transport is unknown.
The current research seeks to identify the role of the marketing intelligence system in its dimensions (customer intelligence, market intelligence, competitor intelligence, insurance product intelligence, sales representatives) and its reflection on improving the quality of the insurance service provided by the National Insurance Company represented in its dimensions (reliability, response, tangibility, Safety, the spirit of empathy, communication) adopted in the current research, and based on that, the research came as an attempt to find out the extent to which the research sample company can apply the approach of the marketing intelligence system and its impact on improving the quality of the insurance service provided to custo
... Show MoreIn this paper the queuing system (M/Er/1/N) has been considered in equilibrium. The method of stages introduced by Erlang has been used. The system of equations which governs the equilibrium probabilities of various stages has been given. For general N the probability of j stages of service are left in the system, has been introduced. And the probability for the empty system has been calculated in the explicit form.
A QR code is a type of barcode that can hold more information than the familiar kind scanned at checkouts around the world. The “QR” stands for “Quick Response”, a reference to the speed at which the large amounts of information they contain can be decoded by scanners. They are being widely used for advertising campaigns, linking to company websites, contest sign-up pages and online menus. In this paper, we propose an efficient module to extract QR code from background and solve problem of rotation in case of inaccurate image taken from mobile camera.
Background: Toxoplasma gondiiis an obligate intracellular protozoan that may infect nearly all warm-blooded animals, including humans. T gondiiis thought to infect one-third of the human population.The symptoms depending on the adequacy of the immune antiparasitic response. In humans, the main source of infection is through contact with the feces of infected cats, the final host in which the T. gondii completes its life cycle. Other source of infection occurs when drinking raw milk, ingestion of contaminated meat. Aim: This descriptive study estimated the seroprevalence and risk variables for Toxoplasma gondii infection forundergraduate students of a college of Pharmacy who were studying at University of Baghdad. The frequency rate ofToxopl
... Show MoreThe topic area of that’s paper dealing with regionalism hegemony upon ruling affairs and political life in Tunisia, this phenomena had historical origins, even before region of French occupation in 1881, after independence, the regionalism domination was practice and normal, the political system justified it's with many causes, like level of education, connection with Western civilization, enlighten intelligent, economic conditions in coast region and North of Tunisia compared with the South, also the role of President Bourqiba as founder of Modern Tunisia, he was from Monster (North of country) which was dominated as charismatic leader dedicate the regionalism domination through decades, yet after revolution in 2011, little changes ha
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