Broyden update is one of the one-rank updates which solves the unconstrained optimization problem but this update does not guarantee the positive definite and the symmetric property of Hessian matrix.

In this paper the guarantee of positive definite and symmetric property for the Hessian matrix will be established by updating the vector  which represents the difference between the next gradient and the current gradient of the objective function assumed to be twice continuous and differentiable .Numerical results are reported to compare the proposed method with the Broyden method under standard problems.

Generalized multivariate transmuted Bessel distribution belongs to the family of probability distributions with a symmetric heavy tail. It is considered a mixed continuous probability distribution. It is the result of mixing the multivariate Gaussian mixture distribution with the generalized inverse normal distribution. On this basis, the paper will study a multiple compact regression model when the random error follows a generalized multivariate transmuted Bessel distribution. Assuming that the shape parameters are known, the parameters of the multiple compact regression model will be estimated using the maximum likelihood method and Bayesian approach depending on non-informative prior information. In addition, the Bayes factor was used

تناول البحث دراسة خمسة نصوص مسمارية لقروض غير منشورة من سلالة أور الثالثة وتحليلها وترجمتها وهي من مجموعة المتحف العراقي, يعود تاريخها الى زمن سلالة أور الثالثة (2012-2004ق.م) تحديدا الى زمن الملكين شوسين (2037- 2029ق.م) وابي سين (2028-2004 ق.م), اما مضامينها فهي قروض بمادتي الشعير(ثلاثة نصوص) الفضة (نصان), والقروض على نوعين قروض بفائدة (ur5 - ra), وقروض بدون فائدة (maš2 - nu - tuk), وقد حددت نسبة الفائدة في القروض 1/3 33% لمادة الشعير و20% لما

شهدت معظم المدن السومرية أزدهاراً أقتصادياً خلال عصر أور الثالثة ،أنعكس ذلك من خلال النصوص المسمارية المكتشفة ذات المضامين الاقتصادية المتنوعة ومنها (وصولات تسلم Bullae) التي تميزت بعصر أور الثالثة بأشكالها المتعددة ومنها: الكروية والمربعة والمستطيلة والمثلثة والمضلعة ومعظمها يحتوي على طبعات أختام فضلاً عن أنها تكون مثقوبة طولياً لغرض التعليق.

Technology developed at very rapid paces in the last decade of the twentieth century and what followed, especially communication technology, as the World Wide Web appeared in the mid-nineties of the last century, Facebook in 2004 and 2006, the mobile phone, 1993, 1994, and social networking sites. The other. These technological developments have had an impact on societies, whether among individuals in one country or among different peoples. The citizen in any part of the world has become a journalist who practices the work of a specialized or professional journalist, even if he does not know how to read and write, or has a low level of education, as he can now transmit events from wherever he is to the world, through his personal page, or v

Correlation equations for expressing the boiling temperature as direct function of liquid composition have been tested successfully and applied for predicting azeotropic behavior of multicomponent mixtures and the kind of azeotrope (minimum, maximum and saddle type) using modified correlation of Gibbs-Konovalov theorem. Also, the binary and ternary azeotropic point have been detected experimentally using graphical determination on the basis of experimental binary and ternary vapor-liquid equilibrium data.

            In this study, isobaric vapor-liquid equilibrium for two ternary systems: “1-Propanol – Hexane – Benzene” and its binaries “1-Propanol –

Lost circulation or losses in drilling fluid is one of the most important problems in the oil and gas industry, and it appeared at the beginning of this industry, which caused many problems during the drilling process, which may lead to closing the well and stopping the drilling process. The drilling muds are relatively expensive, especially the muds that contain oil-based mud or that contain special additives, so it is not economically beneficial to waste and lose these muds. The treatment of drilling fluid losses is also somewhat expensive as a result of the wasted time that it caused, as well as the high cost of materials used in the treatment such as heavy materials, cement, and others. The best way to deal with drilling fluid losses

Recommender Systems are tools to understand the huge amount of data available in the internet world. Collaborative filtering (CF) is one of the most knowledge discovery methods used positively in recommendation system. Memory collaborative filtering emphasizes on using facts about present users to predict new things for the target user. Similarity measures are the core operations in collaborative filtering and the prediction accuracy is mostly dependent on similarity calculations. In this study, a combination of weighted parameters and traditional similarity measures are conducted to calculate relationship among users over Movie Lens data set rating matrix. The advantages and disadvantages of each measure are spotted. From the study, a n