Some properties of deformed q-numbers

Nonextensive statistical mechanics has been a source of investigation in mathematical structures such as deformed algebraic structures. In this work, we present some consequences of q-operations on the construction of q-numbers for all numerical sets. Based on such a construction, we present a new product that distributes over the q-sum. Finally, we present different patterns of q-Pascal's triangles, based on q-sum, whose elements are q-numbers.

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Main Authors: Lobão,Thierry C. Petit, Cardoso,Pedro G. S., Pinho,Suani T. R., Borges,Ernesto P.
Format: Digital revista
Language:English
Published: Sociedade Brasileira de Física 2009
Online Access:http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332009000400009
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spelling oai:scielo:S0103-973320090004000092009-09-10Some properties of deformed q-numbersLobão,Thierry C. PetitCardoso,Pedro G. S.Pinho,Suani T. R.Borges,Ernesto P. Nonextensive statistical mechanics Deformed numbers Deformed algebraic structures Nonextensive statistical mechanics has been a source of investigation in mathematical structures such as deformed algebraic structures. In this work, we present some consequences of q-operations on the construction of q-numbers for all numerical sets. Based on such a construction, we present a new product that distributes over the q-sum. Finally, we present different patterns of q-Pascal's triangles, based on q-sum, whose elements are q-numbers.info:eu-repo/semantics/openAccessSociedade Brasileira de FísicaBrazilian Journal of Physics v.39 n.2a 20092009-08-01info:eu-repo/semantics/articletext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332009000400009en10.1590/S0103-97332009000400009
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country Brasil
countrycode BR
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libraryname SciELO
language English
format Digital
author Lobão,Thierry C. Petit
Cardoso,Pedro G. S.
Pinho,Suani T. R.
Borges,Ernesto P.
spellingShingle Lobão,Thierry C. Petit
Cardoso,Pedro G. S.
Pinho,Suani T. R.
Borges,Ernesto P.
Some properties of deformed q-numbers
author_facet Lobão,Thierry C. Petit
Cardoso,Pedro G. S.
Pinho,Suani T. R.
Borges,Ernesto P.
author_sort Lobão,Thierry C. Petit
title Some properties of deformed q-numbers
title_short Some properties of deformed q-numbers
title_full Some properties of deformed q-numbers
title_fullStr Some properties of deformed q-numbers
title_full_unstemmed Some properties of deformed q-numbers
title_sort some properties of deformed q-numbers
description Nonextensive statistical mechanics has been a source of investigation in mathematical structures such as deformed algebraic structures. In this work, we present some consequences of q-operations on the construction of q-numbers for all numerical sets. Based on such a construction, we present a new product that distributes over the q-sum. Finally, we present different patterns of q-Pascal's triangles, based on q-sum, whose elements are q-numbers.
publisher Sociedade Brasileira de Física
publishDate 2009
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332009000400009
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