In this paper, we introduce an exponential of an operator defined on a Hilbert space H, and we study its properties and find some of properties of T inherited to exponential operator, so we study the spectrum of exponential operator e^T according to the operator T.

The interplay of species in a polluted environment is one of the most critical aspects of the ecosystem. This paper explores the dynamics of the two-species Lokta–Volterra competition model. According to the type I functional response, one species is affected by environmental pollution. Whilst the other degrades the toxin according to the type II functional response. All equilibrium points of the system are located, with their local and global stability being assessed. A numerical simulation examination is carried out to confirm the theoretical results. These results illustrate that competition and pollution can significantly change the coexistence and extinction of each species.

Fallacies are incorrect reasoning that make an argument seem less logically credible and easier to be identified as unsound. They are widespread; individuals commit them while engaging in various activities, including at work, at home, while creating advertisements, and in the media. This study aims to investigate the rhetorical strategies accompanied with producing the fallacious arguments selected from the American Film “12 Angry Men (1957)”. The study adopts Damer’s (2009) model for the identification of fallacy. As for rhetorical analysis, the study adopts Aristotle’s triangle of rhetoric and McGuigan’s (2007) taxonomy of rhetorical devices. The results uncover that the most violated criteria are relevance, acceptabili

Econazole nitrate (EN) is considered as the most effective agent for the treatment of all forms of dermatomycosis caused by dernatophytes. It was formulated as a topical solution in our laboratories. This study was designed to evaluate the effectiveness of Econazol Nitrate in the prepared formula and compared with that of commercial brand, Pevaryl®. A total of 104 patient suffering from dermatomycoses were involved in this investigation. Both formula were applied to the affected skin region in the morning and evening from week to 16 weeks with light massage until complete healing effect was achieved. The data revealed that the percentage of cured patient treated with the prepared formula and reference formula of Ecanozol Nitrate 1% so

        Assimilation is defined ,by many phoneticians like  Schane ,Roach ,and many others, as a phonological process when there is a change of one sound into another because of  neighboring sounds.This study investigates the  phoneme assimilation as a phonological process in English and Arabic  and it is concerned specifically with the differences and similarities in both languages.   Actually ,this study reflects the different terms which are used  in Arabic to refer to this phenomenon and in this way it  shows whether the term 'assimilation ' can have the same meaning of  'idgham' in Arabic or not . Besides, in Arabic , this phenomenon is discussed from&nb

Abstract:
If we neglect the value of historical fashions as a source of inspiration for
contemporary fashion designers we will neglect a treasure of original designs.
In neglecting such a treasure how could we then know what is original. Today
the most famous fashion designers are often inspired, in the outwardly from
and internal lines of their fashions, by fashion designed during the ages of the
past.
Designers can find such fashions in books of history and museums. But
the historical ages are not equal in the fertility of the originality and novelty of
their fashions. Thus the contemporary designer may not find the old designs
inspiring so he invents them.
The researcher was keen in this paper to inclu

This research investigates the engagement of the Iraqi audience with ethnographic programs and their impact on knowledge enhancement and intellectual perspectives. A questionnaire consisting of closed-ended questions was designed and administered to a purposive sample of 400 participants who exclusively follow ethnographic programs and documentary channels. The data were transcribed and subjected to statistical analysis using the SPSS software to ensure reliability and test hypotheses. The findings revealed that Al Jazeera Documentary Channel had the highest viewership percentage among respondents for ethnographic programs, while DW (Deutsche Welle) had the lowest viewership percentage. This suggests that Al Jazee

Gray-Scale Image Brightness/Contrast Enhancement with Multi-Model
Histogram linear Contrast Stretching (MMHLCS) method