A new proof of the formula for a composed layer is presented. An algebraic proof of this formula was given by the author in the previous work. The proposed proof is shorter and simpler and is based on illustrative geometrical considerations.
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V. S. Antyufeev, “Boundary radiation transfer through a planar layer” [in Russian], Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform. 13, No. 1, 13–23 (2013); English transl.: J. Math. Sci., New York 203, No. 4, 427–435 (2014).
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Translated from Vestnik Novosibirskogo Gosudarstvennogo Universiteta: Seriya Matematika, Mekhanika, Informatika 15, No. 3, 2015, pp. 24-29.
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Antyufeev, V.S. Short Proof of Formula for Composed Layer. J Math Sci 221, 772–777 (2017). https://doi.org/10.1007/s10958-017-3265-z
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DOI: https://doi.org/10.1007/s10958-017-3265-z