The Real Vector Spaces of Finite Sequences are Finite Dimensional

• Autorzy: Yatsuka Nakamura , Artur Korniłowicz , Nagato Oya , Yasunari Shidama
• Języki publikacji: EN

Abstrakty

EN

In this paper we show the finite dimensionality of real linear spaces with their carriers equal Rn. We also give the standard basis of such spaces. For the set Rn we introduce the concepts of linear manifold subsets and orthogonal subsets. The cardinality of orthonormal basis of discussed spaces is proved to equal n.MML identifier: EUCLID 7, version: 7.11.01 4.117.1046

• Wydawca: De Gruyter Open
• Czasopismo: Formalized Mathematics
• Rocznik: 2009
• Tom: 17
• Numer: 1
• Strony: 1-9

Daty

wydano

2009-01-01

online

2009-03-20

Twórcy

autor

Yatsuka Nakamura

• Shinshu University Nagano, Japan

autor

Artur Korniłowicz

• Institute of Computer Science, University of Białystok, Sosnowa 64, 15-887 Białystok, Poland

autor

Nagato Oya

• Shinshu University Nagano, Japan

autor

Yasunari Shidama

• Shinshu University Nagano, Japan

Bibliografia

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Identyfikatory

DOI

10.2478/v10037-009-0001-2