JOURNAL OF ADVANCES IN PHYSICS https://rajpub.com/index.php/jap Khalsa Publications en-US JOURNAL OF ADVANCES IN PHYSICS 2347-3487 <p><a href="http://creativecommons.org/licenses/by/4.0/" rel="license"><img src="https://i.creativecommons.org/l/by/4.0/88x31.png" alt="Creative Commons License" /></a> All articles published in <em>Journal of Advances in Linguistics</em> are licensed under a <a href="http://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution 4.0 International License</a>.</p> Numerical Differentiation and Integration https://rajpub.com/index.php/jap/article/view/8938 <p>There are several reasons why numerical differentiation and integration are used. The function that integrates <em>f (x)</em> can be known only in certain places, which is done by taking a sample. Some supercomputers and other computer applications sometimes need numerical integration for this very reason. The formula for the function to be integrated may be known, but it may be difficult or impossible to find the antiderivation that is an elementary function. One example is the function <em>f (x)</em> = exp <em>(−x<sup>2</sup>),</em> an antiderivation that cannot be written in elementary form. It is possible to find antiderivation symbolically, but it is much easier to find a numerical approximation than to calculate antiderivation (anti-derivative). This can be used if antiderivation is given as an unlimited array of products, or if the budget would require special features that are not available to computers.</p> Dragan Obradovic Lakshmi Narayan Mishra Vishnu Narayan Mishra Copyright (c) 2021 Dragan Obradovic, Lakshmi Narayan Mishra, Vishnu Narayan Mishra https://creativecommons.org/licenses/by/4.0 2021-01-25 2021-01-25 19 1 5 10.24297/jap.v19i.8938 Proposed Innovative Correlations for some Nuclear and Radiological Fields using Theorem of S. El-Mongy https://rajpub.com/index.php/jap/article/view/8946 <p>Thinking and thought are divine urge in the Great Quran. The published S. El-Mongy theorem (L= eπrs<sup>A</sup>) correlates eπ with radius r of circular and spherical geometries by a factor s<sup>A</sup> (θ/10ϕ) to be used for calculations of arc length and astronomical distance. In this article, Sayed’s formula was used to produce correlations with the well-established laws and formulas of different nuclear and radiological fields. The formula was directed to be correlated with half-life time, activity, flux, reaction rate, reactor power, mean free path, photon fluence rate, radiation dose rate and half value thickness equations. It was also oriented to calculate fuel rods circumstances of different reactor types; PWR, BWR, VVER1200 and Candu-6. The produced correlations of eπ and s<sup>A </sup>with the above mentioned topics are given with simplified reduced forms, limitation and some comparative calculations between old and the proposed innovative formulas. New formulas for sphere volume and surface area and cylinder are also given based on eπ term.</p> Sayed El-Mongy Copyright (c) 2021 Sayed El-Mongy https://creativecommons.org/licenses/by/4.0 2021-01-25 2021-01-25 19 6 12 10.24297/jap.v19i.8946