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Mathematical 3D Optimization GNU-Octave with Review of 2D/3D Critical Temperature Optimization Molecular Effect Model in High Temperature Superconductors Thallium Class [TC > 0°] and Superconducting Multifunctional Transmission Line Invent

Authors: Francisco Casesnoves;

Mathematical 3D Optimization GNU-Octave with Review of 2D/3D Critical Temperature Optimization Molecular Effect Model in High Temperature Superconductors Thallium Class [TC > 0°] and Superconducting Multifunctional Transmission Line Invent

Abstract

GNU-Octave System software was designed to obtain 3D/2D Graphical Optimization for Molecular Effect Model (MEM) in [ Tl- Sn-Pb-Ba-Si-Mn-Mg-Cu-O ] High Temperature Superconductors (HTSCs) class [ exclusively for TC > 0° ]. The study results show two parts, namely, GNU-Octave 3D Graphical Optimization and 2D/3D MEM optimization review. Series of 2D MEM GNU-Octave graphs with increasing ILS polynomial degree are developed to demonstrate the equaling of the MEM for this HTSCs class. Comparisons to Matlab solutions from previous contributions were also presented. Results comprise Inverse Tikhonov Regularization algorithms and mathematical methods for this HTSCs class. Solutions prove Numerical/Graphical coincidence between MEM and experimental data is proven. ILS norm-residuals for MEM show be acceptable and low. Electronics Physics applications for Superconductors and HTSCs and optimal TC selection/constraints are explained. Invention of Superconducting Multifunctional Transmission Line is proposed [Casesnoves, 2021].

Keywords

Interior Optimization (IO) Methods, Graphical Optimization, Systems of Nonlinear Equations, Inverse Tikhonov Regularization (ITR), Critical temperature [ Tc ], Inverse Least Squares (ILS), Electronics Superconductors(SC), High-Temperature Superconductors (HTSC), BCS Theory, [ Tl-Sn-Pb-Ba-Si-Mn-Mg-Cu-O ] Molecular HTSC Group, Molecular Mass (MO), Molecular Effect Model (MEM), SC-materials (superconductors materials), Superconducting Multifunctional Transmission Line (SCMTS), Interior Optimization (IO) Methods, Graphical Optimization, Systems of Nonlinear Equations, Inverse Tikhonov Regularization (ITR), Critical temperature [ Tc ], Inverse Least Squares (ILS), Electronics Superconductors(SC), High-Temperature Superconductors (HTSC), BCS Theory, [ Tl-Sn-Pb-Ba-Si-Mn-Mg-Cu-O ] Molecular HTSC Group, Molecular Mass (MO), Molecular Effect Model (MEM), SC-materials (superconductors materials), Superconducting Multifunctional Transmission Line (SCMTS)

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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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impulse
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