{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,6,19]],"date-time":"2025-06-19T04:22:10Z","timestamp":1750306930734,"version":"3.41.0"},"reference-count":1,"publisher":"Association for Computing Machinery (ACM)","issue":"3\/4","license":[{"start":{"date-parts":[[2013,1,15]],"date-time":"2013-01-15T00:00:00Z","timestamp":1358208000000},"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":[[2013,1,15]]},"abstract":"<jats:p>In this poster, we first introduce the concept of Laurent differentially essential systems and give a criterion for them in terms of their supports. Then the sparse differential resultant for a Laurent differentially essential system is defined and its basic properties are given. In particular, order and degree bounds for the sparse differential resultant, as well as a BKK-type degree bound for the differential resultant, are given. Based on these bounds, an algorithm to compute the sparse differential resultant is proposed, which is single exponential.<\/jats:p>","DOI":"10.1145\/2429135.2429158","type":"journal-article","created":{"date-parts":[[2013,1,22]],"date-time":"2013-01-22T15:28:56Z","timestamp":1358868536000},"page":"110-111","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":3,"title":["Sparse differential resultant for laurent differential polynomials"],"prefix":"10.1145","volume":"46","author":[{"given":"Wei","family":"Li","sequence":"first","affiliation":[{"name":"KLMM, AMSS, Chinese Academy of Sciences, Beijing, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chun-Ming","family":"Yuan","sequence":"additional","affiliation":[{"name":"KLMM, AMSS, Chinese Academy of Sciences, Beijing, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiao-Shan","family":"Gao","sequence":"additional","affiliation":[{"name":"KLMM, AMSS, Chinese Academy of Sciences, Beijing, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"320","published-online":{"date-parts":[[2013,1,15]]},"reference":[{"key":"e_1_2_1_1_1","unstructured":"Wei Li Chun-Ming Yuan Xiao-Shan Gao. Sparse Differential Resultant for Laurent Differential Polynomials. ArXiv:1111.1084v2 p. 1--62 Dec. 2011  Wei Li Chun-Ming Yuan Xiao-Shan Gao. Sparse Differential Resultant for Laurent Differential Polynomials. ArXiv:1111.1084v2 p. 1--62 Dec. 2011"}],"container-title":["ACM Communications in Computer Algebra"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/2429135.2429158","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/2429135.2429158","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,18]],"date-time":"2025-06-18T08:35:36Z","timestamp":1750235736000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/2429135.2429158"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,1,15]]},"references-count":1,"journal-issue":{"issue":"3\/4","published-print":{"date-parts":[[2013,1,15]]}},"alternative-id":["10.1145\/2429135.2429158"],"URL":"https:\/\/doi.org\/10.1145\/2429135.2429158","relation":{},"ISSN":["1932-2240"],"issn-type":[{"type":"print","value":"1932-2240"}],"subject":[],"published":{"date-parts":[[2013,1,15]]},"assertion":[{"value":"2013-01-15","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}