{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/another-approach-to-get-derivative-of-odd","title":"Another approach to get derivative of odd-power","arxiv_id":"2310.07804","date":"2023-07-30","proceeding":null,"authors":["Petro Kolosov"],"abstract":"In this manuscript, we provide and discuss another approach to get derivative of odd-power such that is based on an identity in partial derivatives in terms of polynomial function $f_y$ defined as \\[ f_{y} (x, z) = \\sum_{k=1}^{z} \\sum_{r=0}^{y} \\mathbf{A}_{y,r} k^r (x-k)^r \\] where $x, z\\in \\mathbb{R}$, $y$ is fixed constant $y \\in \\mathbb{N}$ and $\\mathbf{A}_{y,r}$ are real coefficients.","url_abs":"https://arxiv.org/abs/2310.07804v1","url_pdf":"https://arxiv.org/pdf/2310.07804v1.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"links_only","authors_date_abstract":"arXiv metadata, CC0 1.0 (https://info.arxiv.org/help/license), from the Kaggle arXiv metadata snapshot of 2026-09-12"},"code_links":[{"paper_slug":"another-approach-to-get-derivative-of-odd","repo_url":"https://github.com/kolosovpetro/anotherapproachtogetderivativeofoddpower","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":0,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"syntology_url":null,"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}