The user based top-N recommendation algorithm uses a similarity-based vector model to identify the k most similar users to an active user.
12.
It was rigorously proved by Kac and C . J . Thompson that the spherical model is a limiting case of the N-vector model.
13.
:: : : According to a vector model only an opposing force can counteract an emerging force that somebody who wants control has decided to repress.
14.
Some of the formalism is also broad enough to handle related models, such as the XY model, the Heisenberg model and the N-vector model.
15.
His early work introduced the n-vector model of magnetism and its exact solution in the limit n?infinity, topics that are now part of standard statistical physics textbooks.
16.
A combination of the pixels making up an image color formation scheme will compose details of an image, as is distinct from the commonly used points, lines, and polygon area location symbols of scalable vector graphics as the basis of the vector model of area attribute rendering.
17.
Critical vector model in the strict large-N limit has the same spectrum off higher-spin conserved tensors as the free scalar CFT, the only difference being in that the \ varphi ^ 2 operator acquires a large anomalous dimension which is 2 up to 1 / N-corrections.
18.
There are examples of critical vector models in five dimensions, which are supposed to be dual to higher-spin theories in AdS _ 6, which is the same theory as the free boson dual but with different boundary conditions imposed on the scalar field of the higher-spin multiplet.
19.
De Gennes used this strategy to establish an analogy between the behavior of the zero-component classical vector model of ferromagnetism near the phase transition and a self-avoiding random walk of a polymer chain of infinite length on a lattice, to calculate the polymer excluded volume exponents ( de Gennes 1972 ).
20.
The simplest duality proposed by Klebanov, Polyakov and Sezgin, Sundell relates, depending on the boundary conditions imposed, the higher-spin theory in AdS _ 4 to the free or interacting O ( N ) vector models, i . e . to the simplest conformal field theory ( CFT ) of N free scalars and to the Wilson-Fisher CFT that is obtained via a double-trace deformation of the free one.
