The paper is concerned with the state and proof of the existence theorem of a unique solution (state vector) of couple nonlinear hyperbolic equations (CNLHEQS) via the Galerkin method (GM) with the Aubin theorem. When the continuous classical boundary control vector (CCBCV) is known, the theorem of existence a CCBOCV with equality and inequality state vector constraints (EIESVC) is stated and proved, the existence theorem of a unique solution of the adjoint couple equations (ADCEQS) associated with the state equations is studied. The Frcéhet derivative derivation of the "Hamiltonian" is obtained. Finally the necessary theorem (necessary conditions "NCs") and the sufficient theorem (sufficient conditions" SCs") for optimality of the stat

Beta Distribution

Abstract

             Gamma and Beta Distributions has very important in practice in various areas of statistical and applications reliability and quality control of production. and There are a number of methods to generate data behave on according to these distribution. and These methods bassic primarily on the shape parameters of each distribution and the relationship between these distributions and their relationship with some other probability distributions.    &nb

    HIV is a leading cause of death, in particular, in Sub-Saharan Africa. In this paper, a fractional differential system in vivo deterministic models for HIV dynamics is presented and analyzed. The main roles played by different HIV treatment methods are investigated using fractional optimal control theory. We use three treatment regimens as system control variables to determine the best strategies for controlling the infection. The optimality system is numerically solved using the fractional Adams-Bashforth technique.

      The EMERGE application from Hampsson-Russell suite programs was used in the present study. It is an interesting domain for seismic attributes that predict some of reservoir three dimensional or two dimensional properties, as well as their combination. The objective of this study is to differentiate reservoir/non reservoir units with well data in the Yamama Formation by using seismic tools. P-impedance volume (density x velocity of P-wave) was used in this research to  perform a three dimensional seismic model on the oilfield of Nasiriya by using post-stack data of  5 wells. The data (training and application) were utilized in the EMERGE analysis for estimating the reservoir properties of P-wave ve

The purpose of this research is to find the estimator of the average proportion of defectives based on attribute samples. That have been curtailed either with rejection of a lot finding the kth defective or with acceptance on finding the kth non defective.

The MLE (Maximum likelihood estimator) is derived. And also the ASN in Single Curtailed Sampling has been derived and we obtain a simplified Formula All the Notations needed are explained.

To achieve excellence in the quality of performance in school sports administration, which has suffered a lot of problems and constraints on the administrative system, supervision and education level as well as the regulatory environment and available resources available and contribute to the provision of some processors and overcome difficulties to participate in the formation of the individual good of itself and society through sports activities. Hence the importance came this study to create a reference to the quality of the performance criteria school sports from the perspective of supervisors (specialists and technicians) in the districts of breeding Baghdad, to be of help to all those involved in school sports and maintaining an excep

One of the most demanded studies is wind turbine site assessment. It is difficult to build a simulation program because of the many variables that affect the wind speed and direction. The procedure of this research depend on two approaches, the Wind Atlas Analysis model and the Inverse Distance Wait interpolation. These procedures give the estimated annual energy production for each turbine (V82) with 82m blades diameter at 70m hub heights. The output at this location for each turbine is about (4.3 GWh). The studied area is about 20x20km2 and could be plant at least 600 turbine and have about 2500 GWh of annual energy production.