{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,6,19]],"date-time":"2025-06-19T04:33:45Z","timestamp":1750307625267,"version":"3.41.0"},"reference-count":0,"publisher":"Association for Computing Machinery (ACM)","issue":"1-2","license":[{"start":{"date-parts":[[2008,7,25]],"date-time":"2008-07-25T00:00:00Z","timestamp":1216944000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.acm.org\/publications\/policies\/copyright_policy#Background"}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":["ACM Commun. Comput. Algebra"],"published-print":{"date-parts":[[2008,7,25]]},"abstract":"<jats:p>The purpose of this poster is to present the concept and proof of several rules of derivative using terminology and tools in abstract algebra. Four main tasks are fulfilled: prove that the differential operator D is a linear transformation, the product rule, and the degree of the derivative is one less than the degree of the original polynomial, and some corollaries and propositions. Some of the problems can be solved by using the limit definition introduced in calculus courses. The motivation for proof is presented in a format of showing the facts about polynomials and their derivatives using nothing but algebraic concepts and proof technique.<\/jats:p>","DOI":"10.1145\/1394042.1394093","type":"journal-article","created":{"date-parts":[[2008,7,29]],"date-time":"2008-07-29T13:22:19Z","timestamp":1217337739000},"page":"85-86","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":0,"title":["The concept of derivatives using abstract algebra (abstract only)"],"prefix":"10.1145","volume":"42","author":[{"given":"Matthew","family":"Prince","sequence":"first","affiliation":[{"name":"Shepherd University"}]}],"member":"320","published-online":{"date-parts":[[2008,7,25]]},"container-title":["ACM Communications in Computer Algebra"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/1394042.1394093","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2025,6,18]],"date-time":"2025-06-18T12:45:53Z","timestamp":1750250753000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/1394042.1394093"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,7,25]]},"references-count":0,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[2008,7,25]]}},"alternative-id":["10.1145\/1394042.1394093"],"URL":"https:\/\/doi.org\/10.1145\/1394042.1394093","relation":{},"ISSN":["1932-2240"],"issn-type":[{"type":"print","value":"1932-2240"}],"subject":[],"published":{"date-parts":[[2008,7,25]]},"assertion":[{"value":"2008-07-25","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}