{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,6,9]],"date-time":"2025-06-09T11:05:22Z","timestamp":1749467122712,"version":"3.40.3"},"publisher-location":"Cham","reference-count":15,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319663197"},{"type":"electronic","value":"9783319663203"}],"license":[{"start":{"date-parts":[[2017,1,1]],"date-time":"2017-01-01T00:00:00Z","timestamp":1483228800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2017]]},"DOI":"10.1007\/978-3-319-66320-3_21","type":"book-chapter","created":{"date-parts":[[2017,8,29]],"date-time":"2017-08-29T07:34:27Z","timestamp":1503992067000},"page":"285-300","source":"Crossref","is-referenced-by-count":4,"title":["Normalization of Indexed Differentials Based on Function Distance Invariants"],"prefix":"10.1007","author":[{"given":"Jiang","family":"Liu","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2017,8,30]]},"reference":[{"key":"21_CR1","doi-asserted-by":"crossref","first-page":"1151","DOI":"10.1088\/0264-9381\/9\/5\/003","volume":"9","author":"SA Fulling","year":"1992","unstructured":"Fulling, S.A., King, R.C., Wybourne, B.G., Cummins, C.J.: Normal forms for tensor polynomials: I. The Riemann tensor. Class. Quantum Grav. 9, 1151\u20131197 (1992)","journal-title":"Class. Quantum Grav."},{"key":"21_CR2","volume-title":"MathTensor, A System for Performing Tensor Analysis by Computer","author":"S Christensen","year":"1994","unstructured":"Christensen, S., Parker, L.: MathTensor, A System for Performing Tensor Analysis by Computer. Addison-Wesley, Boston (1994)"},{"key":"21_CR3","doi-asserted-by":"crossref","first-page":"36","DOI":"10.1016\/0010-4655(96)00060-4","volume":"96","author":"VA Ilyin","year":"1996","unstructured":"Ilyin, V.A., Kryukov, A.P.: ATENSOR-REDUCE program for tensor simplification. Comput. Phys. Commun. 96, 36\u201352 (1996)","journal-title":"Comput. Phys. Commun."},{"key":"21_CR4","doi-asserted-by":"crossref","first-page":"286","DOI":"10.1063\/1.168656","volume":"12","author":"X Ja\u00e9n","year":"1998","unstructured":"Ja\u00e9n, X., Balfag\u00f3n, A.: TTC: symbolic tensor calculus with indices. Comput. Phys. 12, 286\u2013289 (1998)","journal-title":"Comput. Phys."},{"key":"21_CR5","doi-asserted-by":"crossref","first-page":"215","DOI":"10.1016\/S0010-4655(98)00117-9","volume":"115","author":"R Portugal","year":"1998","unstructured":"Portugal, R.: An algorithm to simplify tensor expressions. Comput. Phys. Commun. 115, 215\u2013230 (1998)","journal-title":"Comput. Phys. Commun."},{"key":"21_CR6","doi-asserted-by":"crossref","first-page":"7779","DOI":"10.1088\/0305-4470\/32\/44\/313","volume":"32","author":"R Portugal","year":"1999","unstructured":"Portugal, R.: Algorithmic simplification of tensor expressions. J. Phys. A: Math. Gen. 32, 7779\u20137789 (1999)","journal-title":"J. Phys. A: Math. Gen."},{"key":"21_CR7","doi-asserted-by":"crossref","first-page":"261","DOI":"10.1016\/S0010-4655(99)00480-4","volume":"126","author":"R Portugal","year":"2000","unstructured":"Portugal, R.: The Riegeom package: abstract tensor calculation. Comput. Phys. Commun. 126, 261\u2013268 (2000)","journal-title":"Comput. Phys. Commun."},{"key":"21_CR8","doi-asserted-by":"crossref","first-page":"2491","DOI":"10.1088\/0264-9381\/17\/13\/302","volume":"17","author":"A Balfag\u00f3n","year":"2000","unstructured":"Balfag\u00f3n, A., Ja\u00e9n, X.: Review of some classical gravitational superenergy tensors using computational techniques. Class. Quantum Grav. 17, 2491\u20132497 (2000)","journal-title":"Class. Quantum Grav."},{"key":"21_CR9","doi-asserted-by":"crossref","first-page":"859","DOI":"10.1142\/S0129183102004571","volume":"13","author":"LRU Manssur","year":"2002","unstructured":"Manssur, L.R.U., Portugal, R., Svaiter, B.F.: Group-theoretic approach for symbolic tensor manipulation. Int. J. Mod. Phys. C. 13, 859\u2013880 (2002)","journal-title":"Int. J. Mod. Phys. C."},{"key":"21_CR10","doi-asserted-by":"crossref","first-page":"173","DOI":"10.1016\/S0010-4655(03)00494-6","volume":"157","author":"LRU Manssur","year":"2004","unstructured":"Manssur, L.R.U., Portugal, R.: The Canon package: a fast kernel for tensor manipulators. Comput. Phys. Commun. 157, 173\u2013180 (2004)","journal-title":"Comput. Phys. Commun."},{"key":"21_CR11","doi-asserted-by":"crossref","first-page":"640","DOI":"10.1016\/j.cpc.2007.05.015","volume":"177","author":"JM Mart\u00edn-Garc\u00eda","year":"2007","unstructured":"Mart\u00edn-Garc\u00eda, J.M., Portugal, R., Manssur, L.R.U.: The Invar tensor package. Comput. Phys. Commun. 177, 640\u2013648 (2007)","journal-title":"Comput. Phys. Commun."},{"key":"21_CR12","doi-asserted-by":"crossref","first-page":"586","DOI":"10.1016\/j.cpc.2008.04.018","volume":"179","author":"JM Mart\u00edn-Garc\u00eda","year":"2008","unstructured":"Mart\u00edn-Garc\u00eda, J.M., Yllanes, D., Portugal, R.: The Invar tensor package: differential invariants of Riemann. Comput. Phys. Commun. 179, 586\u2013590 (2008)","journal-title":"Comput. Phys. Commun."},{"key":"21_CR13","doi-asserted-by":"crossref","first-page":"399","DOI":"10.1360\/012011-584","volume":"43","author":"J Liu","year":"2013","unstructured":"Liu, J., Li, H.B., Zhang, L.X.: A complete classification of canonical forms of a class of Riemann tensor indexed expressions and its applications in differential geometry (in Chinese). Sci. Sin. Math. 43, 399\u2013408 (2013)","journal-title":"Sci. Sin. Math."},{"key":"21_CR14","doi-asserted-by":"crossref","first-page":"2266","DOI":"10.1007\/s11425-009-0005-y","volume":"52","author":"J Liu","year":"2009","unstructured":"Liu, J., Li, H.B., Cao, Y.H.: Simplification and normalization of indexed differentials involving coordinate transformation. Sci. China Ser. A. 52, 2266\u20132286 (2009)","journal-title":"Sci. China Ser. A."},{"key":"21_CR15","unstructured":"Liu, J.: Simplification and normalization of indexed polynomials. Ph.D. Thesis, Chinese Academy of Sciences, Beijing (2009)"}],"container-title":["Lecture Notes in Computer Science","Computer Algebra in Scientific Computing"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-66320-3_21","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,8,30]],"date-time":"2017-08-30T03:29:11Z","timestamp":1504063751000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-66320-3_21"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017]]},"ISBN":["9783319663197","9783319663203"],"references-count":15,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-66320-3_21","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2017]]}}}