multilinear map वाक्य
उदाहरण वाक्य
मोबाइल
- This is a special case of the tensors as multilinear maps ).
- Multilinear maps and multilinear forms are fundamental objects of study in multilinear algebra.
- Multilinear maps can be described via tensor products of elements of " V " ".
- When described as multilinear maps, the tensor product simply multiplies the two tensors, i . e.
- A multilinear map of one variable is a linear map, and of two variables is a bilinear map.
- If the codomain of a multilinear map is the field of scalars, it is called a multilinear form.
- The bundle of differential forms, at each point, consists of all totally antisymmetric multilinear maps on the tangent space at that point.
- The transformation can be equally well applied to any of the vector spaces on which the multilinear map acts to give another distinct invariance.
- He received the best paper award in Asiacrypt 2008 for improving Pollard rho algorithm, and the best paper award in Eurocrypt 2015 for attacking Multilinear Maps.
- 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.
- 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.
- I wonder if there's an elementary proof that a multilinear map with multiple arguments cannot be simultaneously linear in all of them unless it's the zero map, as stated in the article.
- The notion of "'alternatization "'( or "'alternatisation "'in British English ) is used to derive an alternating multilinear map from any multilinear map with all arguments belonging to the same space.
- The notion of "'alternatization "'( or "'alternatisation "'in British English ) is used to derive an alternating multilinear map from any multilinear map with all arguments belonging to the same space.
- The set of all such multilinear maps forms a vector space, called the tensor product space of type \ left ( r, \, s \ right ) at p and denoted by \ left ( T _ p \ right ) ^ r _ sM.
- In viewing a tensor as a multilinear map, it is conventional to identify the vector space " V " with the space of linear functionals on the dual of " V ", the double dual " V " " ".
- At p, these two vector spaces may be used to construct type \ left ( r, \, s \ right ) tensors, which are real-valued multilinear maps acting on the direct sum of r copies of the cotangent space with s copies of the tangent space.
- In the general case a hyperdeterminant is defined as a discriminant for a multilinear map " f " from finite-dimensional vector spaces " V " i to their underlying field " K " which may be \ mathbb { R } or \ mathbb { C }.
- More generally, a tensor of order " m " which takes in " n " vectors ( where " n " is between 0 and " m " inclusive ) will return a tensor of order, see Tensor : As multilinear maps for further generalizations and details.
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