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/content/aip/journal/adva/1/2/10.1063/1.3589909
1.
1. K. Bull, “Thermistors and Thermocouples: Matching the Tool to the Task in Thermal Validation”, The Journal of Validation Technology 14, 48 (2008).
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2. R. S. Murray, Theory and Problems of Laplace Transforms (McGraw-Hill, New York, 1965).
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3. S. M. Perovich, The Special Tran Functions Theory: Research Monograph (University of Montenegro, Podgorica, 2004).
4.
4. S. M. Perovich, “Concerning contribution to the Special Trans Function Theory”, ETF Journals of Electrical Engineering 5, 27 (2001).
5.
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http://dx.doi.org/10.1080/00411459708229331
6.
6. S. M. Perovich, “The transcendental method in the theory of neutron slowing down”, Journal of Physics A: Mathematical and General 25, 2969 (1992).
http://dx.doi.org/10.1088/0305-4470/25/10/024
7.
7. S. M. Perovich, “Reply to the comment on the transcendental method”, Journal of Physics A: Mathematical and General 28, 4191 (1995).
http://dx.doi.org/10.1088/0305-4470/28/14/035
8.
8. S. M. Perovich, et al., “Some comments concerning the discrete eigenvalue”, Nuclear Science Engineering 131, 439 (1999).
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9. S. M. Perovich et al., “On the analytical solution of some families of transcendental equation, Applied Mathematics Letters 20, 493 (2007).
http://dx.doi.org/10.1016/j.aml.2006.06.008
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10. S. M. Perovich, A. Lompar, “Determining the exact time response”, Proc. Int. Conf. IAMSEC Signals, Data, Systems, Hyderabad (India), Part I, 15 (1994).
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11. H. L. Callendar, On the practical measurements of temperature (Prentice Hill, New York, 1987).
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http://aip.metastore.ingenta.com/content/aip/journal/adva/1/2/10.1063/1.3589909
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/content/aip/journal/adva/1/2/10.1063/1.3589909
2011-05-02
2016-12-03

Abstract

The subject of the theoretical analysis presented in this paper is an analytical approach to the temperature estimation, as an inverse problem, for different thermistors – linear resistances structures: series and parallel ones, by the STFT - Special Trans Functions Theory (S.M. Perovich). The mathematical formulae genesis of both cases is given. Some numerical and graphical simulations in MATHEMATICA program have been realized. The estimated temperature intervals for strongly determined values of the equivalent resistances of the nonlinear structures are given, as well.

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