On physical analysis of entropy measures for sodium oxide via statistical models
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Zhen, Wang
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Anhui Wonder Univ Informat Engn, Sch Liberal Studies, Hefei, Peoples R ChinaAnhui Wonder Univ Informat Engn, Sch Liberal Studies, Hefei, Peoples R China
Zhen, Wang
[1
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Hussain, Mazhar
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COMSATS Univ Islamabad, Dept Math, Lahore Campus, Islamabad, PakistanAnhui Wonder Univ Informat Engn, Sch Liberal Studies, Hefei, Peoples R China
Hussain, Mazhar
[2
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Siddiqui, Muhammad Kamran
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COMSATS Univ Islamabad, Dept Math, Lahore Campus, Islamabad, PakistanAnhui Wonder Univ Informat Engn, Sch Liberal Studies, Hefei, Peoples R China
Siddiqui, Muhammad Kamran
[2
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Javed, Sana
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COMSATS Univ Islamabad, Dept Math, Lahore Campus, Islamabad, PakistanAnhui Wonder Univ Informat Engn, Sch Liberal Studies, Hefei, Peoples R China
Javed, Sana
[2
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Khalid, Sadia
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COMSATS Univ Islamabad, Dept Math, Lahore Campus, Islamabad, PakistanAnhui Wonder Univ Informat Engn, Sch Liberal Studies, Hefei, Peoples R China
Khalid, Sadia
[2
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Amin, Naima
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COMSATS Univ Islamabad, Dept Phys, Lahore Campus, Islamabad, PakistanAnhui Wonder Univ Informat Engn, Sch Liberal Studies, Hefei, Peoples R China
Amin, Naima
[3
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机构:
[1] Anhui Wonder Univ Informat Engn, Sch Liberal Studies, Hefei, Peoples R China
This study delves into a comprehensive physical analysis of entropy measures applied to sodium oxide Na2O. A key idea in information theory and thermodynamics, entropy is essential to comprehending the stability of a system. The study clarifies the intricate relationships and physical properties of Na2O by combining theoretical analysis with statistical methods, providing important knowledge for material design and industrial operations. In a chemical graph, atoms are shown by vertices while their bonding are illustrated by edges. Sodium oxide is a major contributor to manufacture glass, it also has potential applications in CO2 sequestration, transparent materials, biomedical devices and nano grating glass. A topological index is a relationship between the molecular graph and its topology. We have computed various graph entropies based on different topological indices of chemical graph of sodium oxide. Further we have integrated these graph entropies with distinct thermodynamical measures of sodium oxide by developing mathematical models between both quantities. We have developed these mathematical frameworks in MATLAB. All the models are selected relying on the least mean squared error or sum of squared error. This study delves into a comprehensive physical analysis of entropy measures applied to sodium oxide. A key idea in information theory and thermodynamics, entropy is essential to comprehending the stability of a system. The study clarifies the intricate relationships and physical properties of by combining theoretical analysis with statistical methods, providing important knowledge for material design and industrial operations. In a chemical graph, atoms are shown by vertices while their bonding are illustrated by edges. Sodium oxide is a major contributor to manufacture glass, it also has potential applications in Copper Oxide sequestration, transparent materials, biomedical devices, and Nano grating glass. A topological index is a relationship between the molecular graph and its topology. We have computed various graph entropies based on different topological indices of chemical graph of sodium oxide. Further we have integrated these graph entropies with distinct thermodynamically measures of sodium oxide by developing mathematical models between both quantities. We have developed these mathematical frameworks in MATLAB. image
机构:
Wuhan Univ Technol, Sch Naval Architecture Ocean & Energy Power Engn, Wuhan 430070, Peoples R ChinaWuhan Univ Technol, Sch Naval Architecture Ocean & Energy Power Engn, Wuhan 430070, Peoples R China
Chen, Jiawei
Siddiqui, Muhammad Kamran
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COMSATS Univ Islamabad, Dept Math, Lahore Campus, Islamabad, PakistanWuhan Univ Technol, Sch Naval Architecture Ocean & Energy Power Engn, Wuhan 430070, Peoples R China
Siddiqui, Muhammad Kamran
Hussain, Mazhar
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COMSATS Univ Islamabad, Dept Math, Lahore Campus, Islamabad, PakistanWuhan Univ Technol, Sch Naval Architecture Ocean & Energy Power Engn, Wuhan 430070, Peoples R China
Hussain, Mazhar
Hussain, Nazir
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COMSATS Univ Islamabad, Dept Math, Lahore Campus, Islamabad, PakistanWuhan Univ Technol, Sch Naval Architecture Ocean & Energy Power Engn, Wuhan 430070, Peoples R China
Hussain, Nazir
Eldin, Sayed M.
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Future Univ Egypt, Fac Engn, Ctr Res, New Cairo 11835, EgyptWuhan Univ Technol, Sch Naval Architecture Ocean & Energy Power Engn, Wuhan 430070, Peoples R China
Eldin, Sayed M.
Cancan, Murat
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Van Yuzuncu Yil Univ, Fac Educ, Van, TurkiyeWuhan Univ Technol, Sch Naval Architecture Ocean & Energy Power Engn, Wuhan 430070, Peoples R China
机构:
United Arab Emirates Univ, Dept Math Sci, POB 15551, Al Ain, U Arab EmiratesUnited Arab Emirates Univ, Dept Math Sci, POB 15551, Al Ain, U Arab Emirates
Imran, Muhammad
Siddiqui, Muhammad Kamran
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COMSATS Univ Islamabad, Dept Math, Lahore Campus, Lahore, PakistanUnited Arab Emirates Univ, Dept Math Sci, POB 15551, Al Ain, U Arab Emirates
Siddiqui, Muhammad Kamran
Javed, Sana
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COMSATS Univ Islamabad, Dept Math, Lahore Campus, Lahore, PakistanUnited Arab Emirates Univ, Dept Math Sci, POB 15551, Al Ain, U Arab Emirates
Javed, Sana
Sherin, Lubna
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COMSATS Univ Islamabad, Dept Chem, Lahore Campus, Lahore, PakistanUnited Arab Emirates Univ, Dept Math Sci, POB 15551, Al Ain, U Arab Emirates
Sherin, Lubna
Khalid, Sadia
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COMSATS Univ Islamabad, Dept Math, Lahore Campus, Lahore, PakistanUnited Arab Emirates Univ, Dept Math Sci, POB 15551, Al Ain, U Arab Emirates
Khalid, Sadia
Asghar, Waqar
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COMSATS Univ Islamabad, Dept Math, Lahore Campus, Lahore, PakistanUnited Arab Emirates Univ, Dept Math Sci, POB 15551, Al Ain, U Arab Emirates