The expression is a prominent feature of the Arabic language, but it is one of the characteristics that are inseparable from it. The expressive aspects of each other.
The issue of Arab differences and their impact on the divergence of meaning is one of the issues that have preoccupied the minds of the Arabic language owners and their views went to various doctrines. Introduction: (Whenever I finished a question concluded with a verse related to any download, and followed by the need for expressing, interpretation and interpretation) I found him in some of the Aarabip more than the face of some of the vocabulary raised and erected and a jar, when the verses of the Koran, resulting in a research lies between Grammar and the Koran under the title: (Similar to Godfather in explaining the roots of gold), the similarity of the expression in the posts a wider presence than others. This research indicates that the Arabic language consists of eloquence, where the expression forms a solid column without which it is not valid.
The primary objective of the current paper is to suggest and implement effective computational methods (DECMs) to calculate analytic and approximate solutions to the nonlocal one-dimensional parabolic equation which is utilized to model specific real-world applications. The powerful and elegant methods that are used orthogonal basis functions to describe the solution as a double power series have been developed, namely the Bernstein, Legendre, Chebyshev, Hermite, and Bernoulli polynomials. Hence, a specified partial differential equation is reduced to a system of linear algebraic equations that can be solved by using Mathematica®12. The techniques of effective computational methods (DECMs) have been applied to solve some s
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Unlike welding, soldering does not involve melting the work pieces. Soldering is a process in which two or more items are joined together by melting and putting a filler metal (solder) into the joint. Failure in the solder joint may make the system components lose their functions. Electrical wiring and electronic components are joined to devices and printed circuit boards using soldering. Soldering and brazing are both used in the assembly of musical instruments. Lead-tin alloy solder employed in the current investigation which has a diameter of 4 mm and a density of 11.0103 kg/m3 with continuous heat flux heating from the domain's left side and complete insulation on the other side. The melting of PCM was simulated using the ANSYS
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We propose an intraguild predation ecological system consisting of a tri-trophic food web with a fear response for the basal prey and a Lotka–Volterra functional response for predation by both a specialist predator (intraguild prey) and a generalist predator (intraguild predator), which we call the superpredator. We prove the positivity, existence, uniqueness, and boundedness of solutions, determine all equilibrium points, prove global stability, determine local bifurcations, and illustrate our results with numerical simulations. An unexpected outcome of the prey's fear of its specialist predator is the potential eradication of the superpredator.
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