We walk through an optimization problem step by step, clearly explaining how to identify variables, set up the correct function, apply derivatives, and find maximum or minimum values. Each step is ...

Abstract: Many engineering design optimization problems can be represented as mixed-variable optimization problems. This study presents a heuristic approach for solving mixed-variable optimization ...

Solving optimization problems is challenging for existing digital computers and even for future quantum hardware. The practical importance of diverse problems, from healthcare to financial ...

Does calculus play a role in analyzing financial markets and predicting stock prices? The short answer is yes. Calculus is a powerful tool used by financial analysts, traders, and quants to make ...

Current AI models struggle to solve research-level math problems, with the most advanced AI systems we have today solving just 2% of the hundreds of challenges faced. When you purchase through links ...

1 School of Mathematics and Statistics, Fuzhou University, Fuzhou, China. 2 College of Computer and Data Science, Fuzhou University, Fuzhou, China. In this paper, we use Physics-Informed Neural ...

The paper presents a topology optimization methodology for 2D elastodynamic problems using the boundary element method (BEM). The topological derivative is derived based on the variation method and ...

Abstract: This article presents the development of a technological tool that results in student learning about solving differential calculus optimization problems. This work is framed in a research ...