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1. Introduction to Lagrange optimization for engineering applications
2. AI-based Lagrange optimization adopting universally generalizable functions 3. An optimized design of reinforced concrete columns based on an ANN-based Hong-Lagrange method 4. Optimizing reinforced concrete beam cost using ANN-based Hong-Lagrange method 5. ANN-based structural designs using Lagrange multipliers optimizing multiple objective functions Appendix A Appendix B Appendix C Appendix D |