GENERALIZED DIMENSIONAL ANALYSIS
This paper begins by defining such concepts as measurement, measure, magnitude, and dimension, giving examples to illustrate them. Magnitudes are also addressed and defined in such a way that they may be identified in the areas of the social, natural and human sciences, in addition to those magnitudes usually accepted in the physical sciences. Some mistaken concepts are corrected relating to the dimensions of physical quantities such as force, plane angle, magnetism and entropy. The paper also presents other concepts which are often ignored in physics textbooks, and the many magnitudes which are plainly ignored in teaching social and natural sciences.The nature of vector space has the kind of magnitudes that appear in all the sciences menti... Ver más
Guardado en:
1794-1237
2463-0950
13
2016-10-25
13
27
http://purl.org/coar/access_right/c_abf2
info:eu-repo/semantics/openAccess
Revista EIA/ English version - 2016
| id |
4608a584a00266bc8d4a19c8dfc8e924 |
|---|---|
| record_format |
ojs |
| spelling |
GENERALIZED DIMENSIONAL ANALYSIS application/pdf Text http://purl.org/coar/access_right/c_abf2 info:eu-repo/semantics/openAccess http://purl.org/coar/version/c_970fb48d4fbd8a85 info:eu-repo/semantics/publishedVersion http://purl.org/redcol/resource_type/ARTREF http://purl.org/coar/resource_type/c_6501 info:eu-repo/semantics/article Revista EIA/ English version - 2016 https://creativecommons.org/licenses/by-nc-sa/4.0/ Español https://revistas.eia.edu.co/index.php/Reveiaenglish/article/view/1043 GENERALIZED DIMENSIONAL ANALYSIS Publication Social Sciences Natural Sciences This paper begins by defining such concepts as measurement, measure, magnitude, and dimension, giving examples to illustrate them. Magnitudes are also addressed and defined in such a way that they may be identified in the areas of the social, natural and human sciences, in addition to those magnitudes usually accepted in the physical sciences. Some mistaken concepts are corrected relating to the dimensions of physical quantities such as force, plane angle, magnetism and entropy. The paper also presents other concepts which are often ignored in physics textbooks, and the many magnitudes which are plainly ignored in teaching social and natural sciences.The nature of vector space has the kind of magnitudes that appear in all the sciences mentionedwith regard to the operation of internal composition between magnitudes and external composition with the class of rational numbers. With an example taken from the theory of project evaluation, it shows the great utility these concepts bring to the discipline of dimensional analysis, as with Lord Kelvin’s algorithm for the deduction of quantitative laws for physical, social, economic and other phenomena that can be analyzed with the pi theorem of Buckingham, Vaschy and Ostrogradsky. Artículo de revista Dimensional analysis Measure Measurement Magnitude Dimension Physical Sciences Pi Theorem Poveda Ramos, Gabriel Journal article Revista EIA / English version 13 25 Revista EIA / English version 2016-10-25 00:00:00 13 27 https://revistas.eia.edu.co/index.php/Reveiaenglish/article/download/1043/957 https://revistas.eia.edu.co/index.php/Reveiaenglish/article/view/1043 2463-0950 1794-1237 2016-10-25 2016-10-25 00:00:00 |
| institution |
UNIVERSIDAD EIA |
| thumbnail |
https://nuevo.metarevistas.org/UNIVERSIDADEIA/logo.png |
| country_str |
Colombia |
| collection |
Revista EIA / English version |
| title |
GENERALIZED DIMENSIONAL ANALYSIS |
| spellingShingle |
GENERALIZED DIMENSIONAL ANALYSIS Poveda Ramos, Gabriel Social Sciences Natural Sciences Dimensional analysis Measure Measurement Magnitude Dimension Physical Sciences Pi Theorem |
| title_short |
GENERALIZED DIMENSIONAL ANALYSIS |
| title_full |
GENERALIZED DIMENSIONAL ANALYSIS |
| title_fullStr |
GENERALIZED DIMENSIONAL ANALYSIS |
| title_full_unstemmed |
GENERALIZED DIMENSIONAL ANALYSIS |
| title_sort |
generalized dimensional analysis |
| description |
This paper begins by defining such concepts as measurement, measure, magnitude, and dimension, giving examples to illustrate them. Magnitudes are also addressed and defined in such a way that they may be identified in the areas of the social, natural and human sciences, in addition to those magnitudes usually accepted in the physical sciences. Some mistaken concepts are corrected relating to the dimensions of physical quantities such as force, plane angle, magnetism and entropy. The paper also presents other concepts which are often ignored in physics textbooks, and the many magnitudes which are plainly ignored in teaching social and natural sciences.The nature of vector space has the kind of magnitudes that appear in all the sciences mentionedwith regard to the operation of internal composition between magnitudes and external composition with the class of rational numbers. With an example taken from the theory of project evaluation, it shows the great utility these concepts bring to the discipline of dimensional analysis, as with Lord Kelvin’s algorithm for the deduction of quantitative laws for physical, social, economic and other phenomena that can be analyzed with the pi theorem of Buckingham, Vaschy and Ostrogradsky.
|
| author |
Poveda Ramos, Gabriel |
| author_facet |
Poveda Ramos, Gabriel |
| topicspa_str_mv |
Social Sciences Natural Sciences Dimensional analysis Measure Measurement Magnitude Dimension Physical Sciences Pi Theorem |
| topic |
Social Sciences Natural Sciences Dimensional analysis Measure Measurement Magnitude Dimension Physical Sciences Pi Theorem |
| topic_facet |
Social Sciences Natural Sciences Dimensional analysis Measure Measurement Magnitude Dimension Physical Sciences Pi Theorem |
| citationvolume |
13 |
| citationissue |
25 |
| publisher |
Revista EIA / English version |
| ispartofjournal |
Revista EIA / English version |
| source |
https://revistas.eia.edu.co/index.php/Reveiaenglish/article/view/1043 |
| language |
Español |
| format |
Article |
| rights |
http://purl.org/coar/access_right/c_abf2 info:eu-repo/semantics/openAccess Revista EIA/ English version - 2016 https://creativecommons.org/licenses/by-nc-sa/4.0/ |
| type_driver |
info:eu-repo/semantics/article |
| type_coar |
http://purl.org/coar/resource_type/c_6501 |
| type_version |
info:eu-repo/semantics/publishedVersion |
| type_coarversion |
http://purl.org/coar/version/c_970fb48d4fbd8a85 |
| type_content |
Text |
| publishDate |
2016-10-25 |
| date_accessioned |
2016-10-25 00:00:00 |
| date_available |
2016-10-25 00:00:00 |
| url |
https://revistas.eia.edu.co/index.php/Reveiaenglish/article/view/1043 |
| url_doi |
https://revistas.eia.edu.co/index.php/Reveiaenglish/article/view/1043 |
| issn |
1794-1237 |
| eissn |
2463-0950 |
| citationstartpage |
13 |
| citationendpage |
27 |
| url3_str_mv |
https://revistas.eia.edu.co/index.php/Reveiaenglish/article/download/1043/957 |
| _version_ |
1797158913778384896 |