1. This is a special case of the tensors as multilinear maps ). 2. This generates a new multilinear form of the same format, 3. The Tucker decomposition is used in multilinear principal component analysis. 4. Multilinear maps and multilinear forms are fundamental objects of study in multilinear algebra.5. Multilinear maps and multilinear forms are fundamental objects of study in multilinear algebra. 6. Multilinear maps and multilinear forms are fundamental objects of study in multilinear algebra. 7. In the language of multilinear algebra, each shape represents a multilinear function. 8. In the language of multilinear algebra, each shape represents a multilinear function. 9. The Riemann tensor is a multilinear operator of fourth rank acting on tangent vectors. 10. Multilinear Subspace Learning employ different types of data tensor analysis tools for dimensionality reduction.