Proceedings: Mathematical, Physical and Engineering Sciences, Vol. 461, No. 2060 (Aug., 2005), pp. 2545-2562 (18 pages) The work presented here shows that the natural frequencies of constrained ...

Smoothness penalties are efficient regularization and dimension reduction tools for functional regressions. However, for spiky functional data observed on a dense grid, the coefficient function in a ...

Engage in lab-based activities designed to strengthen their problem-solving skills and expand knowledge of the topics in secondary mathematics, focusing especially on topics from precalculus and the ...

OpenAI’s ChatGPT functions have emerged as a powerful tool for developers. These functions allow developers to interface with different models, creating functions that can be called through system ...