REPOZYTORIUM UNIWERSYTETU
W BIAŁYMSTOKU
UwB

  1. Repozytorium Uniwersytetu w Białymstoku
  2. Czasopisma naukowe / Journals
  3. Formalized Mathematics
  4. Formalized Mathematics, 2013, Volume 21, Issue 4

Szukanie zaawansowane
  • Zespoły i Kolekcje


  • Zaloguj się
  • Zarejestruj się
  • Mój RUB
  • FAQ
  • Polityka
  • Regulamin
  • DOI
  • Instrukcja
  • Aspekty prawne
  • Open Access
  • Archiwum


  • Kontakt
  • O Dspace
  • Strona Biblioteki
  • Strona Uczelni



    • Proszę używać tego identyfikatora do cytowań lub wstaw link do tej pozycji: http://hdl.handle.net/11320/3694
    Pełny rekord metadanych
    Pole DCWartośćJęzyk
    dc.contributor.authorFuta, Yuichi-
    dc.contributor.authorEndou, Noboru-
    dc.contributor.authorShidama, Yasunari-
    dc.date.accessioned2015-12-09T20:40:19Z-
    dc.date.available2015-12-09T20:40:19Z-
    dc.date.issued2013-
    dc.identifier.citationFormalized Mathematics, Volume 21, Issue 4, 2013, Pages 249-260-
    dc.identifier.issn1426-2630-
    dc.identifier.issn1898-9934-
    dc.identifier.urihttp://hdl.handle.net/11320/3694-
    dc.description.abstractIn this article, we formalize isometric differentiable functions on real normed space [17], and their properties.-
    dc.language.isoen-
    dc.publisherDe Gruyter Open-
    dc.subjectisometric differentiable function-
    dc.titleIsometric Differentiable Functions on Real Normed Space-
    dc.typeArticle-
    dc.identifier.doi10.2478/forma-2013-0027-
    dc.description.AffiliationFuta Yuichi - Japan Advanced Institute of Science and Technology Ishikawa, Japan-
    dc.description.AffiliationEndou Noboru - Gifu National College of Technology Gifu, Japan-
    dc.description.AffiliationShidama Yasunari - Shinshu University Nagano, Japan-
    dc.description.referencesGrzegorz Bancerek. The ordinal numbers. Formalized Mathematics, 1(1):91-96, 1990.-
    dc.description.referencesGrzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences. Formalized Mathematics, 1(1):107-114, 1990.-
    dc.description.referencesCzesław Bylinski. Binary operations. Formalized Mathematics, 1(1):175-180, 1990.-
    dc.description.referencesCzesław Bylinski. Functions and their basic properties. Formalized Mathematics, 1(1): 55-65, 1990.-
    dc.description.referencesCzesław Bylinski. Functions from a set to a set. Formalized Mathematics, 1(1):153-164, 1990.-
    dc.description.referencesCzesław Bylinski. Partial functions. Formalized Mathematics, 1(2):357-367, 1990.-
    dc.description.referencesCzesław Bylinski. Some basic properties of sets. Formalized Mathematics, 1(1):47-53, 1990.-
    dc.description.referencesAgata Darmochwał. Finite sets. Formalized Mathematics, 1(1):165-167, 1990.-
    dc.description.referencesNoboru Endou, Yasunari Shidama, and Keiichi Miyajima. The product space of real normed spaces and its properties. Formalized Mathematics, 15(3):81-85, 2007. doi:10.2478/v10037-007-0010-y.-
    dc.description.referencesHiroshi Imura, Morishige Kimura, and Yasunari Shidama. The differentiable functions on normed linear spaces. Formalized Mathematics, 12(3):321-327, 2004.-
    dc.description.referencesHiroshi Imura, Yuji Sakai, and Yasunari Shidama. Differentiable functions on normed linear spaces. Part II. Formalized Mathematics, 12(3):371-374, 2004.-
    dc.description.referencesJarosław Kotowicz. Partial functions from a domain to a domain. Formalized Mathematics, 1(4):697-702, 1990.-
    dc.description.referencesEugeniusz Kusak, Wojciech Leonczuk, and Michał Muzalewski. Abelian groups, fields and vector spaces. Formalized Mathematics, 1(2):335-342, 1990.-
    dc.description.referencesTakaya Nishiyama, Keiji Ohkubo, and Yasunari Shidama. The continuous functions on normed linear spaces. Formalized Mathematics, 12(3):269-275, 2004.-
    dc.description.referencesHiroyuki Okazaki, Noboru Endou, and Yasunari Shidama. Cartesian products of family of real linear spaces. Formalized Mathematics, 19(1):51-59, 2011. doi:10.2478/v10037-011-0009-2.-
    dc.description.referencesJan Popiołek. Real normed space. Formalized Mathematics, 2(1):111-115, 1991.-
    dc.description.referencesLaurent Schwartz. Cours d’analyse. Hermann, 1981. http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000271006300001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=b7bc2757938ac7a7a821505f8243d9f3-
    dc.description.referencesYasunari Shidama. Banach space of bounded linear operators. Formalized Mathematics, 12(1):39-48, 2004.-
    dc.description.referencesYasunari Shidama. Differentiable functions on normed linear spaces. Formalized Mathematics, 20(1):31-40, 2012. doi:10.2478/v10037-012-0005-1.-
    dc.description.referencesAndrzej Trybulec. Binary operations applied to functions. Formalized Mathematics, 1 (2):329-334, 1990.-
    dc.description.referencesWojciech A. Trybulec. Vectors in real linear space. Formalized Mathematics, 1(2):291-296, 1990.-
    dc.description.referencesZinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990.-
    dc.description.referencesEdmund Woronowicz. Relations and their basic properties. Formalized Mathematics, 1 (1):73-83, 1990.-
    dc.description.referencesEdmund Woronowicz. Relations defined on sets. Formalized Mathematics, 1(1):181-186, 1990.-
    dc.description.referencesHiroshi Yamazaki and Yasunari Shidama. Algebra of vector functions. Formalized Mathematics, 3(2):171-175, 1992.-
    Występuje w kolekcji(ach):Formalized Mathematics, 2013, Volume 21, Issue 4

    Pliki w tej pozycji:
    Plik Opis RozmiarFormat 
    forma-2013-0027.pdf266,09 kBAdobe PDFOtwórz
    Pokaż uproszczony widok rekordu Zobacz statystyki


    Pozycja ta dostępna jest na podstawie licencji Licencja Creative Commons CCL Creative Commons