Definition, Betydelse & Synonymer | Engelska ordet MULTILINEAR

Definition av MULTILINEAR

1. (matematik) multilinjär, linjär i varje variabel för sig.

Exempel på hur man kan använda MULTILINEAR i en mening

• It uses the techniques of differential calculus, integral calculus, linear algebra and multilinear algebra.
• Multilinear subspace in multilinear algebra, a subset of a tensor space that is closed under addition and scalar multiplication.
• There are many types of tensors, including scalars and vectors (which are the simplest tensors), dual vectors, multilinear maps between vector spaces, and even some operations such as the dot product.
• This focus on environmental adaptation is based on the cultural ecology and multilinear evolution ideas of anthropologists such as Julian Steward.
• From a mathematical perspective, the diagrams are a concise way to represent multilinear functions and functions between representations of matrix groups.
• In multilinear algebra, a tensor contraction is an operation on a tensor that arises from the canonical pairing of a vector space and its dual.
• In physics, especially in multilinear algebra and tensor analysis, covariance and contravariance describe how the quantitative description of certain geometric or physical entities changes with a change of basis.
• In mathematical physics, where symmetry is of central importance, or even just in multilinear algebra these operations are mostly (multilinear with respect to some vector structures and then) called antisymmetric operations, and when they are not already of arity greater than two, extended in an associative setting to cover more than two arguments.
• For multidimensional data, tensor representation can be used in dimensionality reduction through multilinear subspace learning.
• The multilinear setting for these problems was further developed by Tao in collaboration with Jonathan Bennett and Anthony Carbery; their work was extensively used by Bourgain and Larry Guth in deriving estimates for general oscillatory integral operators.
• In any Lorentzian spacetime, the fourth rank Riemann tensor is a multilinear operator on the four-dimensional space of tangent vectors (at some event), but a linear operator on the six-dimensional space of bivectors at that event.
• Around 1940, a number of American anthropologists began rejecting the ideas of unilinear evolutionism and universal evolutionism, and began to move towards the idea of multilinear evolutionism.
• We also call the multilinear polynomials "blossoming", following Lyle Ramshaw who in turn credited de Casteljau with the underlying "polar approach" to the mathematical theory of splines.
• With Herm Brascamp and Joaquin Luttinger, Lieb proved in 1974 a generalization of the Riesz rearrangement inequality, stating that certain multilinear integrals increase when all the functions are replaced by their symmetric decreasing rearrangement.
• These films are not hypermedia and do not have actual hyperlinks, but are multilinear in a more metaphorical sense.
• Multilinear polynomials are the interpolants of multilinear or n-linear interpolation on a rectangular grid, a generalization of linear interpolation, bilinear interpolation and trilinear interpolation to an arbitrary number of variables.
• Alberto Toscano and Jeff Kinkle have argued that one popular form of hyperlink cinema, a genre of film characterized by intersecting and multilinear plots, constitutes a contemporary form of it-narrative.
• One of Generalized multivariate analysiss innovations was its extensive use of the multilinear algebra, particularly of the Kronecker product and of vectorization, according to Kollo and von Rosen.
• He received a PhD in 2007 from the University of London under Stephen Maybank, with a thesis titled Discriminative linear and multilinear subspace methods.
• According to Marcus's former doctoral student Robert Grone, Marcus did pioneering, fundamental research in "numerical ranges, matrix inequalities, linear preservers and multilinear algebra".

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