REPOZYTORIUM UNIWERSYTETU
W BIAŁYMSTOKU
UwB

Proszę używać tego identyfikatora do cytowań lub wstaw link do tej pozycji: http://hdl.handle.net/11320/3641
Pełny rekord metadanych
Pole DCWartośćJęzyk
dc.contributor.authorSchwarzweller, Christoph-
dc.date.accessioned2015-12-06T19:05:36Z-
dc.date.available2015-12-06T19:05:36Z-
dc.date.issued2012-
dc.identifier.citationFormalized Mathematics, Volume 20, Issue 2, 2012, Pages 181-191-
dc.identifier.issn1426-2630-
dc.identifier.issn1898-9934-
dc.identifier.urihttp://hdl.handle.net/11320/3641-
dc.description.abstractIn this article we formalize rational functions as pairs of polynomials and define some basic notions including the degree and evaluation of rational functions [8]. The main goal of the article is to provide properties of rational functions necessary to prove a theorem on the stability of networks.-
dc.language.isoen-
dc.publisherDe Gruyter Open-
dc.titleIntroduction to Rational Functions-
dc.typeArticle-
dc.identifier.doi10.2478/v10037-012-0021-1-
dc.description.AffiliationInstitute of Computer Science, University of Gdańsk, Wita Stwosza 57, 80-952 Gdańsk, Poland-
dc.description.referencesGrzegorz Bancerek. The fundamental properties of natural numbers. Formalized Mathematics, 1(1):41-46, 1990.-
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. 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.referencesH. Heuser. Lehrbuch der Analysis. B.G. Teubner Stuttgart, 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.referencesRobert Milewski. The evaluation of polynomials. Formalized Mathematics, 9(2):391-395, 2001.-
dc.description.referencesRobert Milewski. Fundamental theorem of algebra. Formalized Mathematics, 9(3):461-470, 2001.-
dc.description.referencesRobert Milewski. The ring of polynomials. Formalized Mathematics, 9(2):339-346, 2001.-
dc.description.referencesMichał Muzalewski. Construction of rings and left-, right-, and bi-modules over a ring. Formalized Mathematics, 2(1):3-11, 1991.-
dc.description.referencesMichał Muzalewski and Lesław W. Szczerba. Construction of finite sequences over ring and left-, right-, and bi-modules over a ring. Formalized Mathematics, 2(1):97-104, 1991.-
dc.description.referencesJan Popiołek. Real normed space. Formalized Mathematics, 2(1):111-115, 1991.-
dc.description.referencesChristoph Schwarzweller and Agnieszka Rowinska-Schwarzweller. Schur’s theorem on the stability of networks. Formalized Mathematics, 14(4):135-142, 2006, doi:10.2478/v10037-006-0017-9.-
dc.description.referencesMichał J. Trybulec. Integers. Formalized Mathematics, 1(3):501-505, 1990.-
dc.description.referencesWojciech A. Trybulec. Groups. Formalized Mathematics, 1(5):821-827, 1990.-
dc.description.referencesWojciech A. Trybulec. Vectors in real linear space. Formalized Mathematics, 1(2):291-296, 1990.-
dc.description.referencesWojciech A. Trybulec. Lattice of subgroups of a group. Frattini subgroup. Formalized Mathematics, 2(1):41-47, 1991.-
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.referencesHiroshi Yamazaki and Yasunari Shidama. Algebra of vector functions. Formalized Mathematics, 3(2):171-175, 1992.-
Występuje w kolekcji(ach):Formalized Mathematics, 2012, Volume 20, Issue 2

Pliki w tej pozycji:
Plik Opis RozmiarFormat 
v10037-012-0021-1.pdf283,43 kBAdobe PDFOtwórz
Pokaż uproszczony widok rekordu Zobacz statystyki


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