14. starptautiskÄ konference 2012 - Latvijas JÅ«ras akadÄmija

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Proceedings of 14th International conference „Maritime Transport and Infrastructure - 2012”References1. P.G. Ho glund; H. To rnevik. Calculated emission and measured immission of air pollution related to trafficflow on a motorway: pilot study. Stockholm: Royal Institute of Technology, Dept. of Traffic and TransportPlanning, 1992; 92-11-84.2. OPSIS: Optical Monitoring System. OPSIS AB (Sweden): http://www.opsis.se3. A. Richter. Differential Optical Absorption Spectroscopy as a Tool to Measure Pollution from Space.Spectroscopy Europe, vol.18 (2006) p. 14-21.4. J. Kleperis, D. Danilane. Air pollution from oil product transit enterprises: DOAS in Riga Harbour Region.In book: „Air Pollution IX”, Editors: G. Latini, C.A. Brebbia, WIT Press, Southampton, UK, 2001, p. 449-457.5. U.Platt. Differential Optical Absorption Spectroscopy (DOAS), in Air Monitoring by SpectroscopicTechniques, Chem. Anal. Ser., vol.127, Editor M.W. Sigrist, John Wiley, New York, pp.27-84 (1984).6. Latvijas republikas Ministru kabineta noteikumi Nr.1290 (3.11.2009.) “Noteikumi par gaisa kvalitāti”Cabinet of Ministers of Latvia, Regulations No 1290 from 11.03.2009 "Regulations on Air Quality".74
Proceedings of 14th International conference „Maritime Transport and Infrastructure - 2012”APPLICATION OF A PARTIAL DERIVATIVEKsenija Maslova, Arturs Smirnovs, Mārtiņš Vanags*, Voldemārs Barkāns***Latvijas Zinātņu Akadēmija, Akadēmijas laukums 1, Rīga, LV-1050, Latvija; E-pasts: SF11053@gmail.com**Latvijas Jūras Akadēmija, Flotes ielā 5B, Rīga, LV-1016, Latvija; E-pasts: Voldemars.Barkans@inbox.lvAnnotationThe report covers the application of a partial derivative approximating the curve that isexperimentally obtained using the method of least squares.Key words: partial derivative, method of least squares.IntroductionWe continue a series of reports, that cover the various parts of application of Mathematics course thatwere initiated at the previous Latvian Maritime Academy conferences. The Mathematics course duringthe bachelor degree programs at technical high education institutions is required to get studentsacquainted with Mathematics apparatus that is necessary in comprehensive technical courses to dealwith practical tasks.TaskThe measurements (Table 1, t and y) were made and the experimental curve 2 (Fig. 1) wasobtained, experimenting with the new composition of fuel.To obtain an empirical formula for the analysis of the physical process, the results of theexperiment are approximated using the method of least squares [1], [2].The function for approximation is chosenftkt y a te(1)The function is converted by taking logarithm of both sides:ln y ln a ln t kt. (2)Designated: Y = ln y; X = t; b = ln a . Obtained:Y = kX+ lnX + b. (3)The difference (bias) i between the experimentally obtained Yiand theoretically establishedis designated by: kX ln X b Y. (4)iiiiThe sum is formed:s ni1nkXi ln Xi b Yi2 , (5)ii1275
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14. starptautiskÄ konference 2012 - Latvijas JÅ«ras akadÄmija

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