{"articles":{"multilinear-operator@linear-algebra":{"content":"<p>Satisfies homogeneity for all arguments: \\[{\\alphaf({x}_{1}, {x}_{2}, \\dots, {x}_{n}) = f(\\alpha{x}_{1}, {x}_{2}, \\dots, {x}_{n}) = f({x}_{1}, \\alpha{x}_{2}, \\dots, {x}_{n}) = \\dots{} = f({x}_{1}, {x}_{2}, \\dots, \\alpha{x}_{n})}\\] And satisfies additivity for all arguments: \\[{f({x}_{1}, y + z, \\dots, {x}_{n}) = f({x}_{1}, y, \\dots, {x}_{n}) + f({x}_{1}, z, \\dots, {x}_{n})}\\]</p>","names":[[["Multilinear operator",""]]]}},"style":"Notion"}