Uncertainty and UncertaintyGUM mathematica functions

Detalhes bibliográficos
Autor(a) principal: Aibe, Valter Yoshihiko
Data de Publicação: 2012
Outros Autores: Mikhailov, Mikhail Dimitrov
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional do INMETRO
Texto Completo: http://hdl.handle.net/10926/1898
Resumo: Two functions from the authors Mathematica package are demonstrated. UncertaintyGUM is based on the Guide to the Expression of Uncertainty in Measurement (GUM) [1]. The more powerful Uncertainty use the propagation of distributions to find analytically, numerically, or statistically the expectation ± standard deviation for expression of random variables with prescribed statistical distributions. These two functions gives the same results for the linear expression c1*x1+c2*x2+c3*x3 with normal or multinormal statistical distributions of variables x1, x2, and x3. The approximate results of UncertaintyGUM and exact one of Uncertainty, for the nonlinear expressions Sin[x] and x^n of the normally distributed random variable x, are compared in three interactive demonstrations. This paper is a Mathematica notebook transformed to the new CDF (Computable Document Format) supported by the free CDF Player distributed by the Wolfram Research [3].
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spelling info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleUncertainty and UncertaintyGUM mathematica functions201220122012-08-16T14:17:47Z2012-08-16T14:17:47ZAcervo Digital do InmetroTwo functions from the authors Mathematica package are demonstrated. UncertaintyGUM is based on the Guide to the Expression of Uncertainty in Measurement (GUM) [1]. The more powerful Uncertainty use the propagation of distributions to find analytically, numerically, or statistically the expectation ± standard deviation for expression of random variables with prescribed statistical distributions. These two functions gives the same results for the linear expression c1*x1+c2*x2+c3*x3 with normal or multinormal statistical distributions of variables x1, x2, and x3. The approximate results of UncertaintyGUM and exact one of Uncertainty, for the nonlinear expressions Sin[x] and x^n of the normally distributed random variable x, are compared in three interactive demonstrations. This paper is a Mathematica notebook transformed to the new CDF (Computable Document Format) supported by the free CDF Player distributed by the Wolfram Research [3].15 p. : il.Submitted by Catarina Soares (cfsoares@inmetro.gov.br) on 2012-08-16T14:09:23Z No. of bitstreams: 3 To use_Uncertainty_GUM_Mathematica_Functions.pdf: 35222 bytes, checksum: 9d516abc7137888ab7ef6cde689f8489 (MD5) 2012_ AIBE_Uncertainty_GUM_Mathematica.pdf: 914515 bytes, checksum: be382587bc3beac07ae7b6497d88e157 (MD5) Uncertainty_GUM_Mathematica_Functions.cdf: 440564 bytes, checksum: 0fed064ff41041025f520b80b500a98c (MD5)Approved for entry into archive by Catarina Soares(cfsoares@inmetro.gov.br) on 2012-08-16T14:17:47Z (GMT) No. of bitstreams: 3 To use_Uncertainty_GUM_Mathematica_Functions.pdf: 35222 bytes, checksum: 9d516abc7137888ab7ef6cde689f8489 (MD5) 2012_ AIBE_Uncertainty_GUM_Mathematica.pdf: 914515 bytes, checksum: be382587bc3beac07ae7b6497d88e157 (MD5) Uncertainty_GUM_Mathematica_Functions.cdf: 440564 bytes, checksum: 0fed064ff41041025f520b80b500a98c (MD5)Made available in DSpace on 2012-08-16T14:17:47Z (GMT). No. of bitstreams: 3 To use_Uncertainty_GUM_Mathematica_Functions.pdf: 35222 bytes, checksum: 9d516abc7137888ab7ef6cde689f8489 (MD5) 2012_ AIBE_Uncertainty_GUM_Mathematica.pdf: 914515 bytes, checksum: be382587bc3beac07ae7b6497d88e157 (MD5) Uncertainty_GUM_Mathematica_Functions.cdf: 440564 bytes, checksum: 0fed064ff41041025f520b80b500a98c (MD5)enghttp://hdl.handle.net/10926/1898DMD_hdl_10926/1898AIBE, Valter Yoshihiko; MIKHAILOV, Mikhail Dimitrov. Uncertainty and UncertaintyGUM mathematica functions. Rio de Janeiro: Inmetro, 2012.Aibe, Valter YoshihikoMikhailov, Mikhail Dimitrovinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional do INMETROinstname:Instituto Nacional de Metrologia, Qualidade e Tecnologia (INMETRO)instacron:INMETROUncertainty_GUM_Mathematica_Functions.cdfhttp://xrepo01s.inmetro.gov.br/bitstream/10926/1898/1/Uncertainty_GUM_Mathematica_Functions.cdfapplication/octet-stream440564http://xrepo01s.inmetro.gov.br/bitstream/10926/1898/1/Uncertainty_GUM_Mathematica_Functions.cdf0fed064ff41041025f520b80b500a98cMD510926_1898_12012_%20AIBE_Uncertainty_GUM_Mathematica.pdfhttp://xrepo01s.inmetro.gov.br/bitstream/10926/1898/3/2012_%20AIBE_Uncertainty_GUM_Mathematica.pdfapplication/pdf914515http://xrepo01s.inmetro.gov.br/bitstream/10926/1898/3/2012_%20AIBE_Uncertainty_GUM_Mathematica.pdfbe382587bc3beac07ae7b6497d88e157MD510926_1898_3To%20use_Uncertainty_GUM_Mathematica_Functions.pdfhttp://xrepo01s.inmetro.gov.br/bitstream/10926/1898/4/To%20use_Uncertainty_GUM_Mathematica_Functions.pdfapplication/pdf35222http://xrepo01s.inmetro.gov.br/bitstream/10926/1898/4/To%20use_Uncertainty_GUM_Mathematica_Functions.pdf9d516abc7137888ab7ef6cde689f8489MD510926_1898_42024-06-10T15:24:56Zoai:xrepo01s.inmetro.gov.br:10926/1898Repositório de Publicaçõeshttp://repositorios.inmetro.gov.br/oai/requestopendoar:2012-08-16T14:18:27Repositório Institucional do INMETRO - Instituto Nacional de Metrologia, Qualidade e Tecnologia (INMETRO)false
dc.title.none.fl_str_mv Uncertainty and UncertaintyGUM mathematica functions
title Uncertainty and UncertaintyGUM mathematica functions
spellingShingle Uncertainty and UncertaintyGUM mathematica functions
Aibe, Valter Yoshihiko
title_short Uncertainty and UncertaintyGUM mathematica functions
title_full Uncertainty and UncertaintyGUM mathematica functions
title_fullStr Uncertainty and UncertaintyGUM mathematica functions
title_full_unstemmed Uncertainty and UncertaintyGUM mathematica functions
title_sort Uncertainty and UncertaintyGUM mathematica functions
author Aibe, Valter Yoshihiko
author_facet Aibe, Valter Yoshihiko
Mikhailov, Mikhail Dimitrov
author_role author
author2 Mikhailov, Mikhail Dimitrov
author2_role author
dc.contributor.author.fl_str_mv Aibe, Valter Yoshihiko
Mikhailov, Mikhail Dimitrov
description Two functions from the authors Mathematica package are demonstrated. UncertaintyGUM is based on the Guide to the Expression of Uncertainty in Measurement (GUM) [1]. The more powerful Uncertainty use the propagation of distributions to find analytically, numerically, or statistically the expectation ± standard deviation for expression of random variables with prescribed statistical distributions. These two functions gives the same results for the linear expression c1*x1+c2*x2+c3*x3 with normal or multinormal statistical distributions of variables x1, x2, and x3. The approximate results of UncertaintyGUM and exact one of Uncertainty, for the nonlinear expressions Sin[x] and x^n of the normally distributed random variable x, are compared in three interactive demonstrations. This paper is a Mathematica notebook transformed to the new CDF (Computable Document Format) supported by the free CDF Player distributed by the Wolfram Research [3].
publishDate 2012
dc.date.issued.fl_str_mv 2012
2012
dc.date.available.fl_str_mv 2012-08-16T14:17:47Z
dc.date.accessioned.fl_str_mv 2012-08-16T14:17:47Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10926/1898
DMD_hdl_10926/1898
dc.identifier.citation.fl_str_mv AIBE, Valter Yoshihiko; MIKHAILOV, Mikhail Dimitrov. Uncertainty and UncertaintyGUM mathematica functions. Rio de Janeiro: Inmetro, 2012.
url http://hdl.handle.net/10926/1898
identifier_str_mv DMD_hdl_10926/1898
AIBE, Valter Yoshihiko; MIKHAILOV, Mikhail Dimitrov. Uncertainty and UncertaintyGUM mathematica functions. Rio de Janeiro: Inmetro, 2012.
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
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application/pdf
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dc.publisher.none.fl_str_mv Acervo Digital do Inmetro
publisher.none.fl_str_mv Acervo Digital do Inmetro
dc.source.none.fl_str_mv reponame:Repositório Institucional do INMETRO
instname:Instituto Nacional de Metrologia, Qualidade e Tecnologia (INMETRO)
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reponame_str Repositório Institucional do INMETRO
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repository.name.fl_str_mv Repositório Institucional do INMETRO - Instituto Nacional de Metrologia, Qualidade e Tecnologia (INMETRO)
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