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].