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.

We study clusters in warm dark matter (WDM) models of a thermally produced dark matter particle 0.5 keV in mass. We show that, despite clusters in WDM cosmologies having similar density profiles as their cold dark matter (CDM) counterparts, the internal properties, such as the amount of substructure, show marked differences. This result is surprising as clusters are at mass scales that are a thousand times greater than that at which structure formation is suppressed. WDM clusters gain significantly more mass via smooth accretion and contain fewer substructures than their CDM brethren. The higher smooth mass accretion results in subhaloes which are physically more extended and less dense. These fine-scale differences can be probed by strong

The present article includes an experimental study of the behavior of dry and saturated dense sandy soil under the action of a single impulsive load. Dry and saturated dense sand models were tested under impact loads. Different falling masses from different heights were conducted using the falling weight deflectometer (FWD) to provide the single pulse energy. The responses of dense soils were evaluated at surface of soil under impact load. These responses include; displacements, velocities, and accelerations that are developed due to the impact acting at top and the displacement at different depths within the soil using the falling weight deflectometer (FWD) and accelerometers (ARH-500A waterproof, and low capacity acceleration tran

The research aims to identify the reasons that lead to asymmetry of information between economic unity administration and the parties that use accounting information such as shareholders, So,  the ability to reach to the solutions that would reduce this problem, these factors have been divided into two types: the first one is the internal factors which represent the administration's desire   in order to expand the self-interest of getting the profits and increase the value and competitive entity and investors to obtaining greater returns for their shares, so the second type is the external factors, which represent the failer that occurs ​​in the laws and regula

Is the subject of the mind took a dimension in philosophy and psychology , and has cared psychologists this topic to a large extent , I started education institutions interest in the capabilities of intelligence since the early twentieth century , and the development of interest in them until he arrived to find Standards and Criteria to identify the degree IQ of any individual , and began to educational institutions interested in mental talent and talented .

The United States is the country chock first of these research projects , but they devoted all their attention on the wish talent mental and Gifted , until I got to the projects, the so-called time ( ( wars of the mind ) ) and projects Schools gifted

Since its inception, the theatrical performance has been based on the principle of permanence, continuity, renewal and innovation in the structure of its visual elements. These innovations and the effectiveness of continuity cannot be achieved without searching for everything that is new and different at the level (form and content) in order to create an image with innovative and effective features in the theatrical discourse, and from Among the elements of the theatrical performance (theatrical costumes) that have been subject to variation since the beginning of the theater until now, and for this purpose, the current research was conducted with the question of the research problem: What are the variations of costumes in the contemporar

Al-Yaqubi was biased in favor of Shia. May be du to his choice of source, materials. All historians as with other human beings are biased in their attitudes and preconceptions in one degree or another as well as in one direction or another.
The choice of source materials, their nature and the use made of them is an important index for measuring the achievement of ang historian.
Several specific questions arise. What sources did author use that were either unknown to or were not employed by his predecessors and contemporaries for whatever reason?
What sources are common to al- Yaqubi and his colleagues among the early Arab historians and what evidence of tendentiousness can be ascert- ained in these? To what extent can the author