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 symmetric_multilinear_functional [2013/08/31 18:54]nikolaj created symmetric_multilinear_functional [2014/03/21 11:11] (current) 2013/08/31 19:34 nikolaj 2013/08/31 18:54 nikolaj created Next revision Previous revision 2013/08/31 19:34 nikolaj 2013/08/31 18:54 nikolaj created Line 1: Line 1: - ===== Symmetric multilinear functional ​ ===== + ===== Symmetric multilinear functional ===== - ==== Definition ​==== + ==== Set ==== - | @#88DDEE: $X$...$\mathcal F$-vector space | + | @#55CCEE: context ​    | @#55CCEE: $X$...$\mathcal F$-vector space | - | @#88DDEE: $n\in \mathbb N$ | + | @#55CCEE: context ​    | @#55CCEE: $n\in \mathbb N$ | - | @#FFBB00: $M\in \mathrm{SymMultiLin}(X^n)$ | + | @#FFBB00: definiendum ​| @#FFBB00: $M\in \mathrm{SymMultiLin}(X^n)$ | - | @#88DDEE: $M\in \mathrm{MultiLin}(X^n)$ | + | @#55CCEE: context ​    | @#55CCEE: $M\in \mathrm{MultiLin}(X^n)$ | | $v_1,​\dots,​v_n\in X$ | | $v_1,​\dots,​v_n\in X$ | | \$ 1\le i