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1

Gibbings, J. C. Dimensional Analysis. London: Springer London, 2011. http://dx.doi.org/10.1007/978-1-84996-317-6.

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Tan, Qing-Ming. Dimensional Analysis. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-19234-0.

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3

Gibbings, J. C. Dimensional analysis. London: Springer, 2011.

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4

Barenblatt, G. I. Dimensional analysis. New York: Gordon and Breach Science Publishers, 1987.

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5

Aliprantis, Charalambos D., and Kim C. Border. Infinite Dimensional Analysis. Berlin, Heidelberg: Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-662-03004-2.

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6

Aliprantis, Charalambos D., and Kim C. Border. Infinite Dimensional Analysis. Berlin, Heidelberg: Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/978-3-662-03961-8.

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7

Conejo, Alberto N. Fundamentals of Dimensional Analysis. Singapore: Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-1602-0.

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8

Garello, René, ed. Two-Dimensional Signal Analysis. London, UK: ISTE, 2008. http://dx.doi.org/10.1002/9780470611067.

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9

Simon, Volker, Bernhard Weigand, and Hassan Gomaa. Dimensional Analysis for Engineers. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-52028-5.

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10

Curren, Anna M. Dimensional analysis for meds. 4th ed. Australia: Delmar Cengage Learning, 2010.

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11

Rene, Garello, ed. Two-dimensional signal analysis. Newport Beach, CA: ISTE, 2007.

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12

René, Garello, ed. Two-dimensional signal analysis. Hoboken, NJ: ISTE/Wiley, 2007.

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13

D, Munday Laurie, ed. Dimensional analysis for meds. San Diego, CA: W.I. Publications, 1998.

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14

Shinmura, Shuichi. High-dimensional Microarray Data Analysis. Singapore: Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-13-5998-9.

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15

Bernido, Christopher C., Maria Victoria Carpio-Bernido, Martin Grothaus, Tobias Kuna, Maria João Oliveira, and José Luís da Silva, eds. Stochastic and Infinite Dimensional Analysis. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-07245-6.

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16

Fienberg, Harris G., and Garry P. Nolan, eds. High-Dimensional Single Cell Analysis. Berlin, Heidelberg: Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-642-54827-7.

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17

Jacoby, William. Data Theory and Dimensional Analysis. 2455 Teller Road, Thousand Oaks California 91320 United States of America: SAGE Publications, Inc., 1991. http://dx.doi.org/10.4135/9781412983860.

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18

P, Rózsa, ed. Applied dimensional analysis and modeling. 2nd ed. Amsterdam: Elsevier/Butterworth-Heinemann, 2007.

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19

1942-, Evans John M., Manufacturing Engineering Laboratory (U.S.), and National Institute of Standards and Technology (U.S.), eds. Analysis of dimensional metrology standards. Gaithersburg, MD: U.S. Dept. of Commerce, Technology Administration, Manufacturing Engineering Laboratory, National Institute of Standards and Technology, 2001.

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20

P, Rózsa, ed. Applied dimensional analysis and modeling. New York: McGraw Hill, 1998.

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21

Belitskii, Genrich. One-dimensional Functional Equations. Basel: Birkhäuser Basel, 2003.

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22

Sundaresan, Kondagunta, and Srinivasa Swaminathan, eds. Differential Analysis in Infinite Dimensional Spaces. Providence, Rhode Island: American Mathematical Society, 1986. http://dx.doi.org/10.1090/conm/054.

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23

Kurowicka, Dorota. Uncertainty analysis with high dimensional modelling. Hoboken, NJ: John Wiley & Sons, 2006.

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24

Yu, Faxin, Hao Luo, Zheming Lu, and Pinghui Wang. Three-Dimensional Model Analysis and Processing. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-12651-2.

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25

Huang, Zhi-yuan, and Jia-an Yan. Introduction to Infinite Dimensional Stochastic Analysis. Dordrecht: Springer Netherlands, 2000. http://dx.doi.org/10.1007/978-94-011-4108-6.

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26

Da Prato, Giuseppe. An Introduction to Infinite-Dimensional Analysis. Berlin, Heidelberg: Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/3-540-29021-4.

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27

Berber Sardinha, Tony, and Marcia Veirano Pinto, eds. Multi-Dimensional Analysis, 25 years on. Amsterdam: John Benjamins Publishing Company, 2014. http://dx.doi.org/10.1075/scl.60.

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28

Berezansky, Y. M., and Y. G. Kondratiev. Spectral Methods in Infinite-Dimensional Analysis. Dordrecht: Springer Netherlands, 1995. http://dx.doi.org/10.1007/978-94-011-0509-5.

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29

Dineen, Seán. Complex Analysis on Infinite Dimensional Spaces. London: Springer London, 1999. http://dx.doi.org/10.1007/978-1-4471-0869-6.

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30

Fabian, Marián, Petr Habala, Petr Hájek, Vicente Montesinos Santalucía, Jan Pelant, and Václav Zizler. Functional Analysis and Infinite-Dimensional Geometry. New York, NY: Springer New York, 2001. http://dx.doi.org/10.1007/978-1-4757-3480-5.

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31

Dimensional Analysis. Elsevier, 2014. http://dx.doi.org/10.1016/c2013-0-18389-4.

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32

Bridgman, P. W. 1882-1961. Dimensional analysis. Ulan Press, 2012.

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33

Chappelear. Dimensional Analysis. 3rd ed. Mosby-Year Book, 2000.

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34

Dimensional Analysis. Davis Company, F. A., 2023.

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35

Dimensional Analysis. Springer London, Limited, 2011.

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36

Bridgman, P. W. 1882-1961. Dimensional Analysis. Franklin Classics, 2018.

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37

Gibbings, J. C. C. Dimensional Analysis. Springer, 2014.

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38

Gunter, S. Kay, and James P. Birk. Dimensional Analysis. Chemical Education Resources, 1996.

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39

Bridgman, Percy Williams. Dimensional Analysis. Franklin Classics, 2018.

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40

Bridgman, Percy Williams. Dimensional Analysis. Franklin Classics Trade Press, 2018.

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41

Bridgman, P. W. 1882-1961. Dimensional Analysis. Creative Media Partners, LLC, 2018.

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42

Bridgman, Percy Williams. Dimensional Analysis. Creative Media Partners, LLC, 2018.

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43

Dimensional Analysis. Creative Media Partners, LLC, 2018.

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44

Dimensional analysis. New York: Gordon and Breach, 1987.

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45

Dimensional Analysis. Creative Media Partners, LLC, 2018.

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46

Infinite Dimensional Analysis. Berlin/Heidelberg: Springer-Verlag, 2006. http://dx.doi.org/10.1007/3-540-29587-9.

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47

Escudier, Marcel. Units of measurement, dimensions, and dimensional analysis. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198719878.003.0003.

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Abstract:
In this chapter the crucial role of units and dimensions in the analysis of any problem involving physical quantities is explained. The International System of Units (SI) is introduced. The major advantage of collecting the physical quantities, which are included in either a theoretical analysis or an experiment, into non-dimensional groups is shown to be a reduction in the number of quantities which need to be considered separately. This process, known as dimensional analysis, is based upon the principle of dimensional homogeneity. Buckingham’s Π‎ theorem is introduced as a method for determining the number of non-dimensional groups (the Π‎’s) corresponding with a set of dimensional quantities and their dimensions. A systematic and simple procedure for identifying these groups is the sequential elimination of dimensions. The scale-up from a model to a geometrically similar full-size version is shown to require dynamic similarity. The definitions and names of the non-dimensional groups most frequently encountered in fluid mechanics have been introduced and their physical significance explained.
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48

Garello, René, and René Garello. Two-Dimensional Signal Analysis. Wiley & Sons, Incorporated, John, 2010.

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49

Simon, Volker, and Bernhard Weigand. Dimensional Analysis for Engineers. Springer International Publishing AG, 2017.

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50

Sengupta, Ambar N., and P. Sundar. Infinite Dimensional Stochastic Analysis. WORLD SCIENTIFIC, 2008. http://dx.doi.org/10.1142/6680.

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