The current study is concerned with presenting a descriptive study of the history of the city of Astrabath in the sixth century AH. The problem that the research tried to answer is represented in the investigation of historical news, and the study of the most prominent cultural aspects which characterizing that city. The research also aims to reach the geographical location of that city, its name and its suburbs. The importance of the research lies in the knowledge of everything related to the role of the civilization of Astrabath, as well as tracing the entry of the Arabs to it, so that it became a cultural, economic and scientific center and its historical role in the sixth century AH. The research reminde us with the scientific role o

This paper is attempt to study the nonlinear second order delay multi-value problems. We want to say that the properties of such kind of problems are the same as the properties of those with out delay just more technically involved. Our results discuss several known properties, introduce some notations and definitions. We also give an approximate solution to the coined problems using the Galerkin's method.

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 In this work, we introduced the Jacobson radical (shortly Rad (Ș)) of the endomorphism semiring Ș =  ( ), provided that  is principal P.Q.- injective semimodule and some related concepts, we studied some properties and added conditions that we needed. The most prominent result is obtained in section three

-If   is a principal self-generator semimodule, then (_ȘȘ) = W(Ș).

Subject Classification: 16y60

        The purpose of this research is to highlight the nature of the relationship between the mental abilities of decision makers and strategic orientation . The intellectual capacity of decision-makers is the cornerstone for the implementation of all the tasks and duties of the Organization and constitutes the most important of its capabilities. As a result of the sharp changes in the environment in which it operates, this organization must accurately define its strategic directions to ensure its

survival and continuity. The problem of field research was to answer a fundamental question: Is the Iraqi director aware of how to employ mental abilities in strategic direc

In The Bluest Eye (1970) , Toni Morrison addresses a timeless problem of white racial dominance in the United States and points to the impact it has on the life of black females growing up in the 1930's. Morrison in this novel explores how Western standards of ideal beauty are created and propagated with and among the black community. The novel not only portrays the lives of those whose dark skinned and negroid features blight their lives; it also shows how the standards of white beauty are imposed on black youth to cause a damage of one's self-love and esteem which usually occurs when beauty goes unrecognized

Cryptographic applications demand much more of a pseudo-random-sequence
generator than do most other applications. Cryptographic randomness does not mean just
statistical randomness, although that is part of it. For a sequence to be cryptographically
secure pseudo-random, it must be unpredictable.
The random sequences should satisfy the basic randomness postulates; one of them is
the run postulate (sequences of the same bit). These sequences should have about the same
number of ones and zeros, about half the runs should be of length one, one quarter of length
two, one eighth of length three, and so on.The distribution of run lengths for zeros and ones
should be the same. These properties can be measured determinis