Uncertainty and UncertaintyGUM mathematica functions
Autor(a) principal: | |
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Data de Publicação: | 2012 |
Outros Autores: | |
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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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 |
dc.format.bitstream.fl_str_mv |
application/octet-stream application/pdf application/pdf |
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) instacron:INMETRO |
instname_str |
Instituto Nacional de Metrologia, Qualidade e Tecnologia (INMETRO) |
instacron_str |
INMETRO |
institution |
INMETRO |
reponame_str |
Repositório Institucional do INMETRO |
collection |
Repositório Institucional do INMETRO |
repository.name.fl_str_mv |
Repositório Institucional do INMETRO - Instituto Nacional de Metrologia, Qualidade e Tecnologia (INMETRO) |
repository.mail.fl_str_mv |
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1801499966164697088 |