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 ...

Many students don’t do the reading and don’t speak up in class, according to a report. Now, professors are trying to change a campus culture they say hurts achievement and stifles speech. By Anemona ...

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 ...

Abstract: The challenge of dynamic multimodal optimization problems (DMMOPs) lies in tracking multiple global or locally acceptable optimal solutions in environments that change over time. Typically, ...

For some high school students, statistics and other data science courses have unseated calculus as the de facto option for pursuing advanced math, in part due to targeted state efforts to expand ...

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: Proximal gradient descent and its accelerated version are resultful methods for solving the sum of smooth and non-smooth problems. When the smooth function can be represented as a sum of ...