{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,2]],"date-time":"2022-04-02T21:22:51Z","timestamp":1648934571402},"reference-count":19,"publisher":"Walter de Gruyter GmbH","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2010,1,1]]},"abstract":"<jats:title>Partial Differentiation of Real Ternary Functions<\/jats:title>\n        <jats:p>In this article, we shall extend the result of [19] to discuss partial differentiation of real ternary functions (refer to [8] and [16] for partial differentiation).<\/jats:p>","DOI":"10.2478\/v10037-010-0005-y","type":"journal-article","created":{"date-parts":[[2011,1,6]],"date-time":"2011-01-06T02:24:51Z","timestamp":1294280691000},"page":"39-46","source":"Crossref","is-referenced-by-count":0,"title":["Partial Differentiation of Real Ternary Functions"],"prefix":"10.2478","volume":"18","author":[{"given":"Takao","family":"Inou\u00e9","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bing","family":"Xie","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiquan","family":"Liang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"374","reference":[{"issue":"1","key":"1","first-page":"107","article-title":"Segments of natural numbers and finite sequences","volume":"1","author":"Grzegorz Bancerek","year":"1990","journal-title":"Formalized Mathematics"},{"issue":"3","key":"2","first-page":"529","article-title":"Finite sequences and tuples of elements of a non-empty sets","volume":"1","author":"Czes\u0142aw Byli\u0144ski","year":"1990","journal-title":"Formalized Mathematics"},{"issue":"1","key":"3","first-page":"55","article-title":"Functions and their basic properties","volume":"1","author":"Czes\u0142aw Byli\u0144ski","year":"1990","journal-title":"Formalized Mathematics"},{"issue":"1","key":"4","first-page":"153","article-title":"Functions from a set to a set","volume":"1","author":"Czes\u0142aw Byli\u0144ski","year":"1990","journal-title":"Formalized Mathematics"},{"issue":"2","key":"5","first-page":"357","article-title":"Partial functions","volume":"1","author":"Czes\u0142aw Byli\u0144ski","year":"1990","journal-title":"Formalized Mathematics"},{"issue":"4","key":"6","first-page":"661","article-title":"The sum and product of finite sequences of real numbers","volume":"1","author":"Czes\u0142aw Byli\u0144ski","year":"1990","journal-title":"Formalized Mathematics"},{"issue":"4","key":"7","first-page":"599","article-title":"The Euclidean space","volume":"2","author":"Agata Darmochwa\u0142","year":"1991","journal-title":"Formalized Mathematics"},{"issue":"2","key":"8","doi-asserted-by":"publisher","first-page":"65","DOI":"10.2478\/v10037-007-0008-5","article-title":"Partial differentiation on normed linear spaces R<sup><i>n<\/i><\/sup>","volume":"15","author":"Noboru Endou","year":"2007","journal-title":"Formalized Mathematics"},{"issue":"1","key":"9","first-page":"35","article-title":"Basic properties of real numbers","volume":"1","author":"Krzysztof Hryniewiecki","year":"1990","journal-title":"Formalized Mathematics"},{"issue":"2","key":"10","first-page":"273","article-title":"Convergent sequences and the limit of sequences","volume":"1","author":"Jaros\u0142aw Kotowicz","year":"1990","journal-title":"Formalized Mathematics"},{"issue":"2","key":"11","first-page":"269","article-title":"Real sequences and basic operations on them","volume":"1","author":"Jaros\u0142aw Kotowicz","year":"1990","journal-title":"Formalized Mathematics"},{"issue":"1","key":"12","doi-asserted-by":"publisher","first-page":"1","DOI":"10.2478\/v10037-010-0001-2","article-title":"Vector functions and their differentiation formulas in 3-dimensional Euclidean spaces","volume":"18","author":"Xiquan Liang","year":"2010","journal-title":"Formalized Mathematics"},{"issue":"4","key":"13","first-page":"787","article-title":"Real function continuity","volume":"1","author":"Konrad Raczkowski","year":"1990","journal-title":"Formalized Mathematics"},{"issue":"4","key":"14","first-page":"797","article-title":"Real function differentiability","volume":"1","author":"Konrad Raczkowski","year":"1990","journal-title":"Formalized Mathematics"},{"issue":"4","key":"15","first-page":"777","article-title":"Topological properties of subsets in real numbers","volume":"1","author":"Konrad Raczkowski","year":"1990","journal-title":"Formalized Mathematics"},{"key":"16","volume-title":"Principles of Mathematical Analysis","author":"Walter Rudin","year":"1976"},{"issue":"3","key":"17","first-page":"445","article-title":"Some properties of real numbers","volume":"1","author":"Andrzej Trybulec","year":"1990","journal-title":"Formalized Mathematics"},{"issue":"1","key":"18","first-page":"181","article-title":"Relations defined on sets","volume":"1","author":"Edmund Woronowicz","year":"1990","journal-title":"Formalized Mathematics"},{"issue":"4","key":"19","doi-asserted-by":"publisher","first-page":"333","DOI":"10.2478\/v10037-008-0041-z","article-title":"Partial differentiation of real binary functions","volume":"16","author":"Bing Xie","year":"2008","journal-title":"Formalized Mathematics"}],"container-title":["Formalized Mathematics"],"original-title":[],"link":[{"URL":"http:\/\/content.sciendo.com\/view\/journals\/forma\/18\/1\/article-p39.xml","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.degruyter.com\/view\/j\/forma.2010.18.issue-1\/v10037-010-0005-y\/v10037-010-0005-y.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,5,30]],"date-time":"2020-05-30T15:27:57Z","timestamp":1590852477000},"score":1,"resource":{"primary":{"URL":"https:\/\/content.sciendo.com\/doi\/10.2478\/v10037-010-0005-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,1,1]]},"references-count":19,"journal-issue":{"issue":"1"},"URL":"https:\/\/doi.org\/10.2478\/v10037-010-0005-y","relation":{},"ISSN":["1898-9934","1426-2630"],"issn-type":[{"value":"1898-9934","type":"electronic"},{"value":"1426-2630","type":"print"}],"subject":[],"published":{"date-parts":[[2010,1,1]]}}}