Symmetric multilinear functional

context	$X$ … $\mathcal F$ -vector space
context	$n\in \mathbb N$

definiendum

$M\in \mathrm{SymMultiLin}(X^n)$

context

$M\in \mathrm{MultiLin}(X^n)$

$v_1,\dots,v_n\in X$

$1\le i<j\le n$

postulate

$M(v_1,\dots,v_i,\dots,v_j,\dots,v_n)=M(v_1,\dots,v_j,\dots,v_i,\dots,v_n)$