multilinear form

English dictionary entry

Meanings

noun
  1. Given a vector space V over a field K of scalars, a mapping Vᵏ → K that is linear in each of its arguments;
  2. Given a vector space V over a field K of scalars, a mapping Vᵏ → K that is linear in each of its arguments; (more generally) a similarly multiply linear mapping Mʳ → R defined for a given module M over some commutative ring R.
  3. a similarly multiply linear mapping Mʳ → R defined for a given module M over some commutative ring R.

Word forms

multilinear form multilinear forms

Synonyms

multicovector

Related words

covariant differential form linear linear form multilinear algebra multilinear map multivector tensor

Derived words

alternating multilinear form multilinear k-form

Translations

French: forme multilinéaire German: Multilinearform Spanish: forma multilineal Spanish: función multilineal
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