A mathematical method with a new algorithm with the aid of Matlab language is proposed to compute the linear equivalence (or the recursion length) of the pseudo-random key-stream periodic sequences using Fourier transform. The proposed method enables the computation of the linear equivalence to determine the degree of the complexity of any binary or real periodic sequences produced from linear or nonlinear key-stream generators. The procedure can be used with comparatively greater computational ease and efficiency. The results of this algorithm are compared with Berlekamp-Massey (BM) method and good results are obtained where the results of the Fourier transform are more accurate than those of (BM) method for computing the linear equivalenc

This study aimed to identify the employment of the social networking platform «Twitter» in the 2016 presidential campaign led by the Republican candidate, Donald Trump; and analyse his tweets through his personal account on «Twitter»  for the period from: 10/ 8/2016 to: 11/ 8/2016 which represents the last month of the election campaign.

The study belongs to the type of descriptive studies using the analytical method through an analysis index that includes sub-categories and other secondary categories. The research has adopted the ordinary unit of information material (tweet) as an analysis unit for this purpose.

Architecture has evolved through the ages as forms, relationships, materials and mechanisms according to the data of each era and up to the era of digital technology, where the change in proportions and aesthetic dimensions of contemporary architectural formation due to the capabilities of digitization has created innovative plastic properties using the void formation in the facades and the introduction of void as a formative and aesthetic element, which led to The emergence of new creative concepts and ideas that contradict traditional ideas and are consistent with the spirit of the times, led to a revolution in the world of architectural form at the level of (architectural ideas and the generation of shapes, materials and construction

The term "semantic exchange" was popularized in Arabic, especially in derivatives, grammatical structures, etc., but it came under different names or terms, including deviation, deviation, transition, displacement, tooth breach, replacement, attention, etc. In the rooting of this term through its study in language and terminology, and among linguists, grammar and others, we have reached a number of results, including The existence of a harmonization between the lexical and idiomatic meaning of the term exchange, and the phenomenon of semantic exchange is a form of expansion in language, and that the first language scientists They had turned to this And studied under Cairo for different names, as noted above.

In this paper we present the theoretical foundation of forward error analysis of numerical algorithms under;• Approximations in "built-in" functions.• Rounding errors in arithmetic floating-point operations.• Perturbations of data.The error analysis is based on linearization method. The fundamental tools of the forward error analysis are system of linear absolute and relative a prior and a posteriori error equations and associated condition numbers constituting optimal of possible cumulative round – off errors. The condition numbers enable simple general, quantitative bounds definitions of numerical stability. The theoretical results have been applied a Gaussian elimination, and have proved to be very effective means of both a prior

Every cultural achievement is a creative text, and every text is a group of signs. The Winged Bull sculpture is a sort of text that is not confined to some signs; indeed, its cultural signs go far beyond as they are open-ended, everlasting and it lends itself to various horizons of interpretation. The recipient has to combine the signs of this sculpture, which belong to different patterns, in the pursuit for perfection so that he can decode its media message.
I have tackled this sculpture by adopting a semiotic approach. The semiotic approach is a modern critical approach which is as wide as culture and as rich as knowledge. It has been linked to modernism, which in turn has been linked to modern critical approaches, because it can