Necessary and sufficient conditions for the operator equation I AXAX n*, to have a real positive definite solution X are given. Based on these conditions, some properties of the operator A as well as relation between the solutions X andAare given.

تحتل التنمية الزراعية في معظم بلدان العالم مكانة مهمة ومتميزة لما لها من دور مهم في الحياة الاقتصادية والاجتماعية .ففي البلدان المتقدمة كان هناك دعم كبير  مالي وفني وعلمي وتكنولوجي من قبل الحكومات الى القطاع الزراعي على الرغم من الامكانيات المالية والفنية والادارية والتكنولوجية التي يمتلكها القطاع الخاص الزراعي.لذا فمن الضروري قيام الحكومات في البلدان الناميه بشكل عام والعراق بشكل خاص بتقديم كل اشكال

Due to the large size of dealing in the transactions installment sales in durable products, especially real estate given the privacy to enjoy their property, among other products because of the large amount and the length of the repayment period leading to a risk of non-payment by the buyer because of the possibility to change the credit level to him, especially that most of this type of transaction customers are from limited income owners,  So it has been proposed the use of other transactions in handling real estate instead of installment sales transactions, a rental sale transactions because of the protection provided by this transaction for a vendor that will be mentioned later.

So proposes to st

The last decade of this 20th century provides a wide spread of applications of one of the computer techniques, which is called Fuzzy Logic. This technique depends mainly on the fuzzy set theory, which is considered as a general domain with respect to the conventional set theory. This paper presents in initiative the fuzzy sets theory and fuzzy logic as a complete mathematics system. Here it was explained the concept of fuzzy set and defined the operations of fuzzy logic. It contains eleven operations beside the other operations which related to fuzzy algebra. Such search is considered as an enhancement for supporting the others waiting search activities in this field.

The main aim of this paper is to study how the different estimators of the two unknown parameters (shape and scale parameter) of a generalized exponential distribution behave for different sample sizes and for different parameter values. In particular, 

. Maximum Likelihood, Percentile and Ordinary Least Square estimators had been implemented for different sample sizes (small, medium, and large) and assumed several contrasts initial values for the two parameters. Two indicators of performance Mean Square Error and Mean Percentile Error were used and the comparisons were carried out between different methods of estimation  by using monte carlo simulation technique .. It was obse

The main purpose of the paper is to identify the controllability of an existing production system; yogurt production line in Abu Ghraib Dairy Factory which has several machines of food processing and packing that has been studied. Through the starting of analysis, instability in production has been found in the factory. The analysis is built depending on experimental observation and data collection for different processing time of the machines, and statistical analysis has been conducted to model the production system. Arena Software is applied for simulating and analyzing the current state of the production system, and results are expanded to improve the system production and efficiency. Research method is applied to contribute in knowi

In this paper, a least squares group finite element method for solving coupled Burgers' problem in   2-D is presented. A fully discrete formulation of least squares finite element method is analyzed, the backward-Euler scheme for the time variable is considered, the discretization with respect to space variable is applied as biquadratic quadrangular elements with nine nodes for each element. The continuity, ellipticity, stability condition and error estimate of least squares group finite element method are proved.  The theoretical results  show that the error estimate of this method is . The numerical results are compared with the exact solution and other available literature when the convection-dominated case to illustrate the effic

          Using sodium4-((4,5-diphenyl-imidazol-2-yl)diazenyl)-3-hydroxynaphthalene-1-sulfonate (SDPIHN) as a chromogenic reagent in presence of non-ionic surfactant (Triton x-100) to estimate the chromium(III)  ion if the wavelength of this reagent 463 nm to form a dark greenish-brown complex in wavelength 586 nm at pH=10,the complex was stable for longer than 24 hours. Beer's low, molar absorptivity 0.244×10⁴L.mol^-1.cm^-1, and Sandal's sensitivity 0.021 µg/cm² are all observed in the concentration range 1-11 µg/mL. The limits of detection (LOD) and limit of quantification (LOQ), respectively, were 0.117 µg/mL and 0.385µg/mL. (mole ratio technique, job's method) were employed to

      يعد موضوع  الشباب- في الوقت الحاضر -  من الموضوعات المهمة  التي  يهتم  بها  علم النفس  والتربية  والأجتماع  والصحة . بل أن الدول  المتقدمة  تهتم بشبابها  أيمانآ بأن تقدم  الأمة لايقوم الاعلى الأمكانيات البشرية من الشباب .

      ومما لاشك  فيه  أن  دخول الشباب  الى عالم  المجتمع  الجامعي  يطرح عليه وبشدة مشكلة التصرف م

Witnessing the global arena many changes in the political, economic, social, scientific and technological have left their mark on the world as a whole, these changes require necessarily Advancement of the profession of auditing, and improve their performance, especially after the mixer skepticism the health of approach and the method followed by a check in the major audit firms global view as for the external audit of an active role in providing services to members of the community in various sectors, were to be provide these services to the highest level of quality.To ensure the quality of the audit process to be a proper planning is based on a scientific basis to be the substrate a strong underlying different audit works, and if planni