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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2015, Volume 15, Issue 3, Pages 24–29
DOI: https://doi.org/10.17377/PAM.2015.15.303 (Mi vngu373) 		 
A brief proof of the formula for layer addition

V. S. Antyufeevab

a Institute of Computational Mathematics and Mathematical Geophysics of Siberian Branch of Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
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DOI: https://doi.org/10.17377/PAM.2015.15.303
Abstract: An algebraic proof of the formula for layer addition has been produced earlier. A new proof of this formula, much more brief and simple, is based on illustrative geometrical considerations.
Keywords: radiative transfer, plane layer, reflection and transmission operators.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-00441
Ministry of Education and Science of the Russian Federation НШ-5111.2014.1
Received: 06.05.2015
English version:
Journal of Mathematical Sciences, 2017, Volume 221, Issue 6, Pages 772–777
DOI: https://doi.org/10.1007/s10958-017-3265-z
Document Type: Article
UDC: 519.6
Language: Russian
Citation: V. S. Antyufeev, “A brief proof of the formula for layer addition”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 15:3 (2015), 24–29; J. Math. Sci., 221:6 (2017), 772–777
Citation in format AMSBIB
\Bibitem{Ant15}
\by V.~S.~Antyufeev
\paper A brief proof of the formula for layer addition
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2015
\vol 15
\issue 3
\pages 24--29
\mathnet{http://mi.mathnet.ru/vngu373}
\crossref{https://doi.org/10.17377/PAM.2015.15.303}
\transl
\jour J. Math. Sci.
\yr 2017
\vol 221
\issue 6
\pages 772--777
\crossref{https://doi.org/10.1007/s10958-017-3265-z}
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    		Вестник Новосибирского государственного университета. Серия: математика, механика, информатика
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