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Fitting the velocity of sound (Vsnd) calculated from the UNESCO ’95 equation to the van ‘t Hoff equation format was a multi-step process. The following Matlab® code script files were used:
Then we made a series of plots to demonstrate the closeness of fit and the minimal size of the offsets between Vsnd(UNESCO ’95) and Vsnd(van ‘t Hoff):
Fitting the velocity of sound (Vsnd) calculated from the Thermodynamic Equation of Seawater 2010 (TEOS-10) to the van ‘t Hoff equation format was also a multi-step process. Note: to use the following equations, the Matlab® Gibbs-SeaWater (GSW) Oceanographic Toolbox, which contains the TEOS-10 equations, must be installed on your computer and the toolbox folders must be in your Matlab® path. For more information about the GSW Oceanographic Toolbox please refer to: McDougall, T.J. and P.M. Barker (2011) Getting started with TEOS-10 and the Gibbs Seawater (GSW) Oceanographic Toolbox, 28pp., SCOR/IAPSO WG127, ISBN 978-0-646-55621-5.
Then we made a series of plots to demonstrate the closeness of fit and the minimal size of the offsets between Vsnd(TEOS-10) and Vsnd(van ‘t Hoff):
Lastly we made a series of plots to demonstrate the closeness of fit between Vsnd calculated with the TEOS-10 computationally efficient equation (using 75 coefficients) and the TEOS-10 full equation (with 104 coefficients) as was used above: