Dimensional analysis (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Dimensional analysis" in English language version.

refsWebsite

Global rank English rank

16doi.org

2^nd place

6semanticscholar.org

11^th place

8^th place

5web.archive.org

1^st place

5archive.org

6^th place

5wolfram.com

513^th place

537^th place

3arxiv.org

69^th place

59^th place

3books.google.com

3^rd place

3terrytao.wordpress.com

low place

2bipm.org

641^st place

955^th place

2handle.net

102^nd place

76^th place

2worldcat.org

5^th place

1aip.org

2,204^th place

1,735^th place

1springer.com

274^th place

309^th place

1harvard.edu

18^th place

17^th place

1mcgraw-hill.com

low place

1ramsay-maunder.co.uk

low place

1core.ac.uk

1,734^th place

1,312^th place

1stackexchange.com

1,983^rd place

1,330^th place

1nist.gov

355^th place

454^th place

1cam.ac.uk

670^th place

480^th place

1psu.edu

207^th place

136^th place

1gundry.co.uk

low place

1nagoya-u.ac.jp

5,551^st place

low place

1yoric.github.io

low place

1pint.readthedocs.io

low place

1camfort.github.io

low place

1georgehart.com

low place

1uva.nl

3,518^th place

2,652^nd place

1strath.ac.uk

low place

7,329^th place

1openlibrary.org

325^th place

255^th place

aip.org

pubs.aip.org

Bolster, Diogo; Hershberger, Robert E.; Donnelly, Russell E. (September 2011). "Dynamic similarity, the dimensionless science". Physics Today. 64 (9): 42–47. doi:10.1063/PT.3.1258.

archive.org

de Jong, Frits J.; Quade, Wilhelm (1967). Dimensional analysis for economists. North Holland. p. 28.
Waite, Lee; Fine, Jerry (2007). Applied Biofluid Mechanics. New York: McGraw-Hill. p. 260. ISBN 978-0-07-147217-3.
(Pesic 2005) Pesic, Peter (2005), Sky in a Bottle, MIT Press, pp. 227–8, ISBN 978-0-262-16234-0
Maxwell, James Clerk (1873), A Treatise on Electricity and Magnetism, volume 1, p. 5
Woan, G. (2010), The Cambridge Handbook of Physics Formulas, Cambridge University Press, ISBN 978-0-521-57507-2

arxiv.org

Duff, M.J.; Okun, L.B.; Veneziano, G. (September 2002), "Trialogue on the number of fundamental constants", Journal of High Energy Physics, 2002 (3): 023, arXiv:physics/0110060, Bibcode:2002JHEP...03..023D, doi:10.1088/1126-6708/2002/03/023, S2CID 15806354
Duff, Michael James (July 2004). "Comment on time-variation of fundamental constants". arXiv:hep-th/0208093v3.
Quincey, Paul (2021). "Angles in the SI: a detailed proposal for solving the problem". Metrologia. 58 (5): 053002. arXiv:2108.05704. doi:10.1088/1681-7575/ac023f.

bipm.org

BIPM (2019). "2.3.3 Dimensions of quantities". SI Brochure: The International System of Units (SI) (PDF) (in English and French) (v. 1.08, 9th ed.). pp. 136–137. ISBN 978-92-822-2272-0. Retrieved 1 September 2021.
JCGM (2012), JCGM 200:2012 – International vocabulary of metrology – Basic and general concepts and associated terms (VIM) (PDF) (3rd ed.), archived from the original (PDF) on 23 September 2015, retrieved 2 June 2015

books.google.com

Roche, John J (1998), The Mathematics of Measurement: A Critical History, Springer, p. 203, ISBN 978-0-387-91581-4, Beginning apparently with Maxwell, mass, length and time began to be interpreted as having a privileged fundamental character and all other quantities as derivative, not merely with respect to measurement, but with respect to their physical status as well.
Rayleigh, Baron John William Strutt (1877), The Theory of Sound, Macmillan
Fourier (1822), p. 156. Fourier, Joseph (1822), Theorie analytique de la chaleur (in French), Paris: Firmin Didot

cam.ac.uk

cl.cam.ac.uk

Kennedy, Andrew J. (April 1996). Programming languages and dimensions (Phd). Vol. 391. University of Cambridge. ISSN 1476-2986. UCAM-CL-TR-391.

camfort.github.io

"CamFort: Specify, verify, and refactor Fortran code". University of Cambridge; University of Kent. 2018.

core.ac.uk

Berberan-Santos, Mário N.; Pogliani, Lionello (1999). "Two alternative derivations of Bridgman's theorem" (PDF). Journal of Mathematical Chemistry. 26: 255–261, See §5 General Results p. 259. doi:10.1023/A:1019102415633. S2CID 14833238.

doi.org

Bolster, Diogo; Hershberger, Robert E.; Donnelly, Russell E. (September 2011). "Dynamic similarity, the dimensionless science". Physics Today. 64 (9): 42–47. doi:10.1063/PT.3.1258.
Yalin, M. Selim (1971). "Principles of the Theory of Dimensions". Theory of Hydraulic Models. pp. 1–34. doi:10.1007/978-1-349-00245-0_1. ISBN 978-1-349-00247-4.
Duff, M.J.; Okun, L.B.; Veneziano, G. (September 2002), "Trialogue on the number of fundamental constants", Journal of High Energy Physics, 2002 (3): 023, arXiv:physics/0110060, Bibcode:2002JHEP...03..023D, doi:10.1088/1126-6708/2002/03/023, S2CID 15806354
Macagno, Enzo O. (1971). "Historico-critical review of dimensional analysis". Journal of the Franklin Institute. 292 (6): 391–340. doi:10.1016/0016-0032(71)90160-8.
Martins, Roberto De A. (1981). "The origin of dimensional analysis". Journal of the Franklin Institute. 311 (5): 331–337. doi:10.1016/0016-0032(81)90475-0.
Berberan-Santos, Mário N.; Pogliani, Lionello (1999). "Two alternative derivations of Bridgman's theorem" (PDF). Journal of Mathematical Chemistry. 26: 255–261, See §5 General Results p. 259. doi:10.1023/A:1019102415633. S2CID 14833238.
Gehani, N. (1977). "Units of measure as a data attribute". Comput. Lang. 2 (3): 93–111. doi:10.1016/0096-0551(77)90010-8.
Gehani, N. (June 1985). "Ada's derived types and units of measure". Software: Practice and Experience. 15 (6): 555–569. doi:10.1002/spe.4380150604. S2CID 40558757.
Cmelik, R. F.; Gehani, N. H. (May 1988). "Dimensional analysis with C++". IEEE Software. 5 (3): 21–27. doi:10.1109/52.2021. S2CID 22450087.
Kennedy, A. (2010). "Types for Units-of-Measure: Theory and Practice". In Horváth, Z.; Plasmeijer, R.; Zsók, V. (eds.). Central European Functional Programming School. CEFP 2009. Lecture Notes in Computer Science. Vol. 6299. Springer. pp. 268–305. CiteSeerX 10.1.1.174.6901. doi:10.1007/978-3-642-17685-2_8. ISBN 978-3-642-17684-5.
Gundry, Adam (December 2015). "A typechecker plugin for units of measure: domain-specific constraint solving in GHC Haskell" (PDF). SIGPLAN Notices. 50 (12): 11–22. doi:10.1145/2887747.2804305. Archived (PDF) from the original on 10 August 2017.
Bennich-Björkman, O.; McKeever, S. (2018). "The next 700 unit of measurement checkers". Proceedings of the 11th ACM SIGPLAN International Conference on Software Language Engineering. pp. 121–132. doi:10.1145/3276604.3276613. ISBN 978-1-4503-6029-6. S2CID 53089559.
McBride, Conor; Nordvall-Forsberg, Fredrik (2022). "Type systems for programs respecting dimensions" (PDF). Advanced Mathematical and Computational Tools in Metrology and Testing XII. Advances in Mathematics for Applied Sciences. World Scientific. pp. 331–345. doi:10.1142/9789811242380_0020. ISBN 9789811242380. S2CID 243831207. Archived (PDF) from the original on 17 May 2022.
Quincey, Paul (2021). "Angles in the SI: a detailed proposal for solving the problem". Metrologia. 58 (5): 053002. arXiv:2108.05704. doi:10.1088/1681-7575/ac023f.
Siano (1985-I, 1985-II) Siano, Donald (1985), "Orientational Analysis – A Supplement to Dimensional Analysis – I", Journal of the Franklin Institute, 320 (6): 267–283, doi:10.1016/0016-0032(85)90031-6 Siano, Donald (1985), "Orientational Analysis, Tensor Analysis and The Group Properties of the SI Supplementary Units – II", Journal of the Franklin Institute, 320 (6): 285–302, doi:10.1016/0016-0032(85)90032-8

dx.doi.org

Quincey, Paul (2021). "Angles in the SI: a detailed proposal for solving the problem". Metrologia. 58 (5): 053002. arXiv:2108.05704. doi:10.1088/1681-7575/ac023f.

georgehart.com

Hart 1995 Hart, George W. (1995), Multidimensional Analysis: Algebras and Systems for Science and Engineering, Springer-Verlag, ISBN 978-0-387-94417-3

gundry.co.uk

adam.gundry.co.uk

Gundry, Adam (December 2015). "A typechecker plugin for units of measure: domain-specific constraint solving in GHC Haskell" (PDF). SIGPLAN Notices. 50 (12): 11–22. doi:10.1145/2887747.2804305. Archived (PDF) from the original on 10 August 2017.

handle.net

hdl.handle.net

Maxwell, James Clerk (1873), A Treatise on Electricity and Magnetism, Clarendon Press series, Oxford, p. 45, hdl:2027/uc1.l0065867749
Griffioen, P. (2019). A unit-aware matrix language and its application in control and auditing (PDF) (Thesis). University of Amsterdam. hdl:11245.1/fd7be191-700f-4468-a329-4c8ecd9007ba. Archived (PDF) from the original on 21 February 2020.

harvard.edu

ui.adsabs.harvard.edu

Duff, M.J.; Okun, L.B.; Veneziano, G. (September 2002), "Trialogue on the number of fundamental constants", Journal of High Energy Physics, 2002 (3): 023, arXiv:physics/0110060, Bibcode:2002JHEP...03..023D, doi:10.1088/1126-6708/2002/03/023, S2CID 15806354

mcgraw-hill.com

highered.mcgraw-hill.com

Cimbala, John; Çengel, Yunus (2006). "§7-2 Dimensional homogeneity". Essential of Fluid Mechanics: Fundamentals and Applications. McGraw-Hill. p. 203–. ISBN 9780073138350.

nagoya-u.ac.jp

math.nagoya-u.ac.jp

Garrigue, J.; Ly, D. (2017). "Des unités dans le typeur" (PDF). 28ièmes Journées Francophones des Langaeges Applicatifs, Jan 2017, Gourette, France (in French). hal-01503084. Archived (PDF) from the original on 10 November 2020.

nist.gov

physics.nist.gov

Thompson, Ambler (November 2009). Guide for the Use of the International System of Units (SI): The Metric System (PDF). DIANE Publishing. ISBN 9781437915594.

openlibrary.org

(Huntley 1967) Huntley, H. E. (1967), Dimensional Analysis, Dover, OCLC 682090763, OL 6128830M, LOC 67-17978

pint.readthedocs.io

Grecco, Hernan E. (2022). "Pint: makes units easy".

psu.edu

citeseerx.ist.psu.edu

Kennedy, A. (2010). "Types for Units-of-Measure: Theory and Practice". In Horváth, Z.; Plasmeijer, R.; Zsók, V. (eds.). Central European Functional Programming School. CEFP 2009. Lecture Notes in Computer Science. Vol. 6299. Springer. pp. 268–305. CiteSeerX 10.1.1.174.6901. doi:10.1007/978-3-642-17685-2_8. ISBN 978-3-642-17684-5.

ramsay-maunder.co.uk

Ramsay, Angus. "Dimensional Analysis and Numerical Experiments for a Rotating Disc". Ramsay Maunder Associates. Retrieved 15 April 2017.

semanticscholar.org

api.semanticscholar.org

Duff, M.J.; Okun, L.B.; Veneziano, G. (September 2002), "Trialogue on the number of fundamental constants", Journal of High Energy Physics, 2002 (3): 023, arXiv:physics/0110060, Bibcode:2002JHEP...03..023D, doi:10.1088/1126-6708/2002/03/023, S2CID 15806354
Berberan-Santos, Mário N.; Pogliani, Lionello (1999). "Two alternative derivations of Bridgman's theorem" (PDF). Journal of Mathematical Chemistry. 26: 255–261, See §5 General Results p. 259. doi:10.1023/A:1019102415633. S2CID 14833238.
Gehani, N. (June 1985). "Ada's derived types and units of measure". Software: Practice and Experience. 15 (6): 555–569. doi:10.1002/spe.4380150604. S2CID 40558757.
Cmelik, R. F.; Gehani, N. H. (May 1988). "Dimensional analysis with C++". IEEE Software. 5 (3): 21–27. doi:10.1109/52.2021. S2CID 22450087.
Bennich-Björkman, O.; McKeever, S. (2018). "The next 700 unit of measurement checkers". Proceedings of the 11th ACM SIGPLAN International Conference on Software Language Engineering. pp. 121–132. doi:10.1145/3276604.3276613. ISBN 978-1-4503-6029-6. S2CID 53089559.
McBride, Conor; Nordvall-Forsberg, Fredrik (2022). "Type systems for programs respecting dimensions" (PDF). Advanced Mathematical and Computational Tools in Metrology and Testing XII. Advances in Mathematics for Applied Sciences. World Scientific. pp. 331–345. doi:10.1142/9789811242380_0020. ISBN 9789811242380. S2CID 243831207. Archived (PDF) from the original on 17 May 2022.

springer.com

link.springer.com

Yalin, M. Selim (1971). "Principles of the Theory of Dimensions". Theory of Hydraulic Models. pp. 1–34. doi:10.1007/978-1-349-00245-0_1. ISBN 978-1-349-00247-4.

stackexchange.com

physics.stackexchange.com

For a review of the different conventions in use see: Pisanty, E (17 September 2013). "Square bracket notation for dimensions and units: usage and conventions". Physics Stack Exchange. Retrieved 15 July 2014.

strath.ac.uk

strathprints.strath.ac.uk

McBride, Conor; Nordvall-Forsberg, Fredrik (2022). "Type systems for programs respecting dimensions" (PDF). Advanced Mathematical and Computational Tools in Metrology and Testing XII. Advances in Mathematics for Applied Sciences. World Scientific. pp. 331–345. doi:10.1142/9789811242380_0020. ISBN 9789811242380. S2CID 243831207. Archived (PDF) from the original on 17 May 2022.

terrytao.wordpress.com

Tao 2012, "With a bit of additional effort (and taking full advantage of the one-dimensionality of the vector spaces), one can also define spaces with fractional exponents ...". Tao, Terence (2012). "A mathematical formalisation of dimensional analysis".
Tao 2012, "However, when working with vector-valued quantities in two and higher dimensions, there are representation-theoretic obstructions to taking arbitrary fractional powers of units ...". Tao, Terence (2012). "A mathematical formalisation of dimensional analysis".
Tao 2012 "Similarly, one can define $V T -1$ as the dual space to $V T$ ..." Tao, Terence (2012). "A mathematical formalisation of dimensional analysis".

uva.nl

pure.uva.nl

Griffioen, P. (2019). A unit-aware matrix language and its application in control and auditing (PDF) (Thesis). University of Amsterdam. hdl:11245.1/fd7be191-700f-4468-a329-4c8ecd9007ba. Archived (PDF) from the original on 21 February 2020.

web.archive.org

JCGM (2012), JCGM 200:2012 – International vocabulary of metrology – Basic and general concepts and associated terms (VIM) (PDF) (3rd ed.), archived from the original (PDF) on 23 September 2015, retrieved 2 June 2015
Gundry, Adam (December 2015). "A typechecker plugin for units of measure: domain-specific constraint solving in GHC Haskell" (PDF). SIGPLAN Notices. 50 (12): 11–22. doi:10.1145/2887747.2804305. Archived (PDF) from the original on 10 August 2017.
Garrigue, J.; Ly, D. (2017). "Des unités dans le typeur" (PDF). 28ièmes Journées Francophones des Langaeges Applicatifs, Jan 2017, Gourette, France (in French). hal-01503084. Archived (PDF) from the original on 10 November 2020.
Griffioen, P. (2019). A unit-aware matrix language and its application in control and auditing (PDF) (Thesis). University of Amsterdam. hdl:11245.1/fd7be191-700f-4468-a329-4c8ecd9007ba. Archived (PDF) from the original on 21 February 2020.
McBride, Conor; Nordvall-Forsberg, Fredrik (2022). "Type systems for programs respecting dimensions" (PDF). Advanced Mathematical and Computational Tools in Metrology and Testing XII. Advances in Mathematics for Applied Sciences. World Scientific. pp. 331–345. doi:10.1142/9789811242380_0020. ISBN 9789811242380. S2CID 243831207. Archived (PDF) from the original on 17 May 2022.

wolfram.com

reference.wolfram.com

"NondimensionalizationTransform—Wolfram Language Documentation". reference.wolfram.com. Retrieved 19 April 2023.
"UnitDimensions—Wolfram Language Documentation". reference.wolfram.com. Retrieved 19 April 2023.
"DimensionalCombinations—Wolfram Language Documentation". reference.wolfram.com. Retrieved 19 April 2023.
"UnityDimensions—Wolfram Language Documentation". reference.wolfram.com. Retrieved 19 April 2023.
"QuantityVariableDimensions—Wolfram Language Documentation". reference.wolfram.com. Retrieved 19 April 2023.

worldcat.org

Kennedy, Andrew J. (April 1996). Programming languages and dimensions (Phd). Vol. 391. University of Cambridge. ISSN 1476-2986. UCAM-CL-TR-391.
(Huntley 1967) Huntley, H. E. (1967), Dimensional Analysis, Dover, OCLC 682090763, OL 6128830M, LOC 67-17978

yoric.github.io

Teller, David (January 2020). "Units of Measure in Rust with Refinement Types".