Meaning of multilinear form

mul'ti•lin'e•ar form'

Pronunciation: (mul'ti-lin'ē-ur, mul"ti-), [key]
— Math. Math.
  1. a function or functional of several variables such that when all variables but one are held fixed, the function is linear in the remaining variable.
Random House Unabridged Dictionary, Copyright © 1997, by Random House, Inc., on Infoplease.