id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
hij-112	Pennisi, Sebastiano	Relativistic Extended Thermodynamics of Polyatomic Gases with Rotational and Vibrational Modes	2021	15	.pdf	application/pdf	9392	408	77	The vibrational and rotational blocks appear for 0 ≤ 𝑟 ≤ 𝑆; also the subsequent orders 𝑆 + 1, 𝑆 + 2, ⋯, 2𝑆 have to be considered (here order of a tensor is the number of its indexes) but only by means of their traces and this is according to the law: If 𝑟 is the number of its free indexes, then 𝑆 − 𝑟 traces have to be taken, for 0 ≤ 𝑟 ≤ 𝑆 − 1. • Let us explicitate now the subset of Equation (14) with 𝑞 = 𝑆 − 𝑟 + 1; from the condition (14) 2 we see that this can be done only when { 2 ≤ 𝑆 − 𝑟 + 1 ≤ 𝑆 + 1 , 0 ≤ 𝑟 ≤ 𝑟 , , i.e., 0 ≤ 𝑟 ≤ 𝑆 − 1.	cache/hij-112.pdf	txt/hij-112.txt