### Some articles on *multilinear*:

Leibniz Formula For Determinants - Formal Statement and Proof

... exactly one function which is alternate

... exactly one function which is alternate

**multilinear**w.r.t ... As is**multilinear**, one has From alternation it follows that any term with repeated indices is zero ... Therefore no function besides the function defined by the Leibniz Formula is a**multilinear**alternating function with ...Pullback (differential Geometry) - Pullback of

... is an element of L(V,W), also denoted Hom(V,W)), and let be a

**Multilinear**Forms... is an element of L(V,W), also denoted Hom(V,W)), and let be a

**multilinear**form on W (also known as a tensor — not to be confused with a tensor field — of rank (0,s ... Then the pullback Φ*F of F by Φ is a**multilinear**form on V defined by precomposing F with Φ ... given vectors v1,v2...vs in V, Φ*F is defined by the formula which is a**multilinear**form on V ...**Multilinear**Form

... In

**multilinear**algebra, a

**multilinear**form is a map of the type where V is a vector space over the field K, that is separately linear in each its n variables ... An important type of

**multilinear**forms are alternating

**multilinear**forms which have the additional property of changing their sign under exchange of two arguments ...

**Multilinear**Polynomial

... In algebra, a

**multilinear**polynomial is a polynomial that is linear in each of its variables ... They are important in the study of polynomial identity testing, because if a

**multilinear**polynomial is zero on a set of vectors that span the space, it will be zero everywhere ... The degree of a

**multilinear**polynomial is the maximum number of distinct variables occurring in any monomial ...

Penrose Graphical Notation - Interpretations -

... In the language of multilinear algebra, each shape represents a multilinear function ... The lines attached to shapes represent the inputs or outputs of a function, and attaching shapes together in some way is essentially the composition of functions ...

**Multilinear**Algebra... In the language of multilinear algebra, each shape represents a multilinear function ... The lines attached to shapes represent the inputs or outputs of a function, and attaching shapes together in some way is essentially the composition of functions ...

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