{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,27]],"date-time":"2023-10-27T08:12:00Z","timestamp":1698394320604},"reference-count":4,"publisher":"Wiley","issue":"2","license":[{"start":{"date-parts":[[2006,11,13]],"date-time":"2006-11-13T00:00:00Z","timestamp":1163376000000},"content-version":"vor","delay-in-days":4334,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematical Logic Qtrly"],"published-print":{"date-parts":[[1995,1]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>In [1] Todorov has shown by means of axiomatic set theory that there exists a nonstandard function \u0394: *\u211d<jats:sup><jats:italic>n<\/jats:italic><\/jats:sup> \u2192 * \u2102 such that for all continuous functions \u03c6: \u211d<jats:sup><jats:italic>n<\/jats:italic><\/jats:sup> \u2192 \u2102, <jats:disp-formula>\n<jats:graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" position=\"anchor\" xlink:href=\"urn:x-wiley:09425616:media:MALQ19950410211:nueq001\"><jats:alt-text>equation image<\/jats:alt-text><\/jats:graphic>\n<\/jats:disp-formula>.<\/jats:p><jats:p>Here *\u211d and *\u2102 are the set of the nonstandard real numbers and the set of the nonstandard complex numbers, respectively, and *\u03c6: *\u211d<jats:sup><jats:italic>n<\/jats:italic><\/jats:sup> \u2192 *\u2102 is the nonstandard extension of \u03c6 In the present note we want to prove an analogous theorem by predicative means only.<\/jats:p>","DOI":"10.1002\/malq.19950410211","type":"journal-article","created":{"date-parts":[[2007,6,2]],"date-time":"2007-06-02T20:57:30Z","timestamp":1180817850000},"page":"257-260","source":"Crossref","is-referenced-by-count":1,"title":["A Nonstandard Delta Function in a Predicative Theory"],"prefix":"10.1002","volume":"41","author":[{"given":"Peter","family":"Zahn","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2006,11,13]]},"reference":[{"key":"e_1_2_1_2_2","doi-asserted-by":"publisher","DOI":"10.2307\/2047769"},{"key":"e_1_2_1_3_2","doi-asserted-by":"publisher","DOI":"10.2307\/2159411"},{"key":"e_1_2_1_4_2","doi-asserted-by":"publisher","DOI":"10.1002\/malq.19870330111"},{"key":"e_1_2_1_5_2","doi-asserted-by":"publisher","DOI":"10.1002\/malq.19890350310"}],"container-title":["Mathematical Logic Quarterly"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fmalq.19950410211","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/malq.19950410211","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,26]],"date-time":"2023-10-26T19:51:17Z","timestamp":1698349877000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/malq.19950410211"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1995,1]]},"references-count":4,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1995,1]]}},"alternative-id":["10.1002\/malq.19950410211"],"URL":"https:\/\/doi.org\/10.1002\/malq.19950410211","archive":["Portico"],"relation":{},"ISSN":["0942-5616","1521-3870"],"issn-type":[{"value":"0942-5616","type":"print"},{"value":"1521-3870","type":"electronic"}],"subject":[],"published":{"date-parts":[[1995,1]]}}}