In this study we looked at the theorm Azela-Ascoli and its application to functional analysis, ordinary dierential equations and complex analysis. This theorem simplies the checking of compactness for subsets of spaces of continuous functions in much the same way the Heine-Borel theorem does for subsets of Rn

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This paper examines some of the theoretical foundations of historical processes in the application of the Shakespeare vision, through which plays became the actual collective memory of the events they envision, even when those events are distorted. The debate over this distortion has focused on the possible political motives for applying Shakespeare. That this application on political intention, with official powers largely ignored the impact of these historical distortions was over 400 years later. I suggest that, because of Shakespeare's unique place in the historical calendar for the development of collective memory, Shakespeare's historical twisting application in history plays is a byproduct of the emerging ability to access historical sources while also shaping the emerging collective memory. Shakespeare became archon, in the sense of the Deriding, of English history. As such he exercised an interpretation of Areton's right to interpret English history.

In this article the effect of intensity-dependent coupling and the atomic dissipation on the interaction of a pair of three-level atoms in the Ξ configuration with a bi-mode cavity field are studied. The solution of the proposed model is obtained in the resonance case. Some statistical quantities are discussed to discover the characteristics of the model. With different nonlinearity functions, the population inversion and the photon number dynamics, which display the phenomenon of collapses and revivals are discussed. The non-classical effects by examining the Mandel Q-parameter are considered. The amount of correlation between the two atoms and the field is estimated by analyzing the results of the fidelity.