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Bibliographic Details
Main Author: Karczmarczuk, Jerzy
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2501.13194
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Table of Contents:
  • 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.