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Two mathematical concepts are used to characterize the geometry of these spaces and to identify possible impacts of variability in data or changes in the models or solution procedures: the dimension of the maximal free generator subspace in vector spaces and the principal angles between subspaces.

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Denote by (x_1, ldots, x_k) a set of free generators of (mathrm{FSol} k, ell )).

We determine the free generators of its subalgebra of Spn(C) covariants.

(Although we reminded this theorem by considering only the words over free generators, the idea of NFT can actually be seen in ℚ as fractals or in matrix theory as echelon forms).

In order to explain this, assume that ({r_j | j in J}) is a system of free generators of R. Now, (BG^3) is obtained attaching 3-cells in order to kill the second homotopy group of (BG^2) which, in turn, by Hurewicz' theorem, is the second homology group of its universal cover (tilde{BG^2}).

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Thermoelectric pastes of stoichiometric Sb2Te3 and Bi2Te3 were prepared, characterized and used as active materials to fabricate a flexible heat sink free thermoelectric generator (TEG).

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