multilinear In A Sentence
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- In mathematics, "'multilinear algebra "'extends the methods of linear algebra.
- An important notion in the theory of linear operators in general is that of MacMahon's multilinear operator (' Theory of a multilinear partial Differential Operator with Applications to the Theories o
- As in the case of tensor products of multilinear maps, the number of variables of their exterior product is the sum of the numbers of their variables.
- If the codomain of a multilinear map is the field of scalars, it is called a multilinear form.
- These properties mean that the determinant is an alternating multilinear function of the columns that maps the identity matrix to the underlying unit scalar.
- This generates a new multilinear form of the same format,.
- Multilinear algebra can be developed in greater generality than for scalars coming from a ring.
- When described as multilinear maps, the tensor product simply multiplies the two tensors, i . e.
- This is a special case of the tensors as multilinear maps ).
- *PM : determinant as a multilinear mapping, id = 3595-- WP guess : determinant as a multilinear mapping-- Status:.
- If a closed trace diagram is labeled by " k " different matrices, it may be interpreted as a function from G ^ k to an algebra of multilinear functions.
- Multilinear Subspace learning can be applied to observations whose measurements were vectorized and organized into a data tensor,.
- In the language of multilinear algebra, each shape represents a multilinear function.
- Multilinear Subspace Learning employ different types of data tensor analysis tools for dimensionality reduction.
- The second Cayley hyperdeterminant originated in 1845 and is often called " Det . " This definition is a discriminant for a singular point on a scalar valued multilinear map.
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