Optimization is essentially the art, science and mathematics of choosing the best among a given set of finite or infinite alternatives. Though currently optimization is an interdisciplinary subject cutting through the boundaries of mathematics, economics, engineering, natural sciences, and many other fields of human Endeavour it had its root in antiquity. In modern day language the problem mathematically is as follows - Among all closed curves of a given length find the one that closes maximum area. This is called the Isoperimetric problem. This problem is now mentioned in a regular fashion in any course in the Calculus of Variations. However, most problems of antiquity came from geometry and since there were no general methods to solve suc

Criticism is inherently impolite and a face-threatening act generally leading to conflicts among interlocutors. It is equally challenging for both native and non-native speakers, and needs pre-planning before performing it. The current research examines the production of non-institutional criticism by Iraqi EFL university learners and American native speakers. More specifically, it explores to what extent Iraqi EFL learners and American native speakers vary in (i) performing criticism, (ii) mitigating criticism, and (iii) their pragmatic choices according to the contextual variables of power and distance. To collect data, a discourse-completion task was used to elicit written data from 20 Iraqi EFL learners and 20 American native speaker

Women are considered important characters and subjects of discussion in the Glorious  Qur’an. Some are portrayed in a positive light while others are condemned . Most women in the Glorious Qur’an are represented as either the mothers or wives of certain leaders and prophets. But the lexical items “Imra’a” امراة and “zawj” زوج occur in the Glorious Qur’an with different meanings depending on the context where they occur.

     Translation of the Glorious Qur'an has always been a problematic and difficult issue. Since the Glorious Qur'an is regarded as miraculous and inimitable (i'jaz al-Qur'an), Muslims argue that the Qur'anic text should not be separated from its

MR Younus, 1998

Women are considered important characters and subjects of discussion in the Glorious Qur‟an. Some are portrayed in a positive light while others are condemned . Most women in the Glorious Qur‟an are represented as either the mothers or wives of certain leaders and prophets. But the lexical items “Imra‟a” شاحِا and “zawj” طٚص occur in the Glorious Qur‟an with different meanings depending on the context where they occur. Translation of the Glorious Qur'an has always been a problematic and difficult issue. Since the Glorious Qur'an is regarded as miraculous and inimitable (i'jaz al-Qur'an), Muslims argue that the Qur'anic text should not be separated from its true form to another different form keeping the A

AI in teaching English is reshaping language learning. While interest in AI-supported education is growing worldwide, research in this area is still emerging in Iraq. This review synthesizes empirical AI-based intervention studies to enhance English language learning in Iraqi higher education, and the perceptions of stakeholders regarding AI tools in language instruction. The reviewed intervention studies, comprising studies employed different AI platforms to support grammar instruction, speaking fluency, writing feedback, and pragmatic competence. These interventions yielded improvements in learners’ performance, motivation, and communicative confidence. In parallel, perception-focused studies revealed positive attitudes toward A

The present study analyzes the violation of the strategies of conversation in two English plays namely Richard II and King Lear. The present study tries to achieve the following goals: 1. showing how the strategies of real conversation can be applied to conversation in plays. 2. analyzing how the characters communicate with each other to discover how Shakespeare violates the strategies of conversation in depicting his characters. The study has been conducted on the bases of the following hypotheses:

1. The strategies of conversation which are derived from the study of natural conversation can be applied to conversation in drama with some modification for dramatic purposes.

Let G be a graph, each edge e of which is given a weight w(e). The shortest path problem is a path of minimum weight connecting two specified vertices a and b, and from it we have a pre-topology. Furthermore, we study the restriction and separators in pre-topology generated by the shortest path problems. Finally, we study the rate of liaison in pre-topology between two subgraphs. It is formally shown that the new distance measure is a metric