The aim of this article is to solve the Volterra-Fredholm integro-differential equations of fractional order numerically by using the shifted Jacobi polynomial collocation method. The Jacobi polynomial and collocation method properties are presented. This technique is used to convert the problem into the solution of linear algebraic equations. The fractional derivatives are considered in the Caputo sense. Numerical examples are given to show the accuracy and reliability of the proposed technique.

     Facing industrial companies many pressures and challenges due to rapid changes in the business environment of contemporary, which requires them to do their performance look more inclusive rather than limiting performance evaluation on the financial perspective in spite of its importance, prompting companies to rethink their reality competitive through the adoption of methodologies and new philosophies to manage competitiveness of total quality management, and re-engineering of production processes, and knowledge management,... etc., as This study framework cognitive and practical "to evaluate the performance of a company Diyala General Electric Industries and how to rehabilitate

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numerical study is applied to the mercury-argon mixture by solving the boltzman transport equation for different mixture percentage.

In fish, a complex set of mechanisms deal with environmental stresses including hypoxia. In order to probe the hypothesis that hypoxia-induced stress could be manifested in varieties of pathways, a model species, mirror carp (Cyprinus carpio), were chronically exposed to hypoxic condition (dissolved oxygen level: 1.80±0.6mg/l) for 21 days and subsequently allowed to recover under normoxic condition (dissolved oxygen level: 8.2±0.5mg/l) for 7 days. At the end of these exposure periods, an integrated approach was applied to evaluate several endpoints at different levels of biological organisation. These included determination of (i) oxidative damage to DNA in erythrocytes (using modified comet assay), (ii) lipid peroxidation in liver sample

This paper presents an in-depth stylistic analysis of the linguistic artistry andliterary techniques employed by Paulo Coelho in his novel By the River Piedra ISat Down and Wept. A close reading approach guided by stylistics and linguisticsframeworks reveals Coelho's extensive incorporation of imaginative metaphors,vivid imagery, poetic diction, and resonant symbols across the narrative. Analysisspecifically elucidates how Coelho adeptly manipulates various stylistic features toconvey thematic content, shape characterization, and produce aesthetic impacts.Findings provide critical insights into Coelho’s linguistic mastery and contribute toresearch in stylistics and literary linguistics through rigorous examination of anentire contemporary