2025/01/22 by Karczmarczuk, Jerzy
#D.3.3 #Data Structures and Algorithms (cs.DS) #FOS: Computer and information sciences #Programming Languages (cs.PL)
paper · doi:10.48550/arxiv.2501.13194
We discuss the functional lazy techniques in generation and handling of arbitrarily long sequences of derivatives of numerical expressions in one ``variable''; the domain to which the paper belongs is usually nicknamed ``Automatic differentiation''. Two models thereof are considered, the chains of ``pure'' derivatives, and the infinite power series, similar, but algorithmically a bit different. We deal with their arithmetic/algebra, and with more convoluted procedures, such as composition and reversion. Some more specific applications of these structures are also presented.