Given the interpretation " via " linear mappings and direct sums, there is a special type of block matrix that occurs for square matrices ( the case " m " = " n " ).
32.
The article I found on the en . wikipedia page had absolutely nothing to do with the standard definition of a Linear function . ( It was entirely focused on the 3rd year university mathematics abstract algebra concept of Linear mappings .)
33.
The main linear technique for dimensionality reduction, principal component analysis, performs a linear mapping of the data to a lower-dimensional space in such a way that the variance of the data in the low-dimensional representation is maximized.
34.
This technique allows the user to extend the reach-area using a non-linear mapping of the hand : when the user extends the hand beyond a fixed threshold distance, the mapping becomes non-linear and the hand grows.
35.
Thus human color perception is determined by a specific, non-unique linear mapping from the infinite-dimensional Hilbert space " H " color to the 3-dimensional Euclidean space "'R "'3 color.
36.
Given a barrelled space " X " and a locally convex space " Y ", then any family of pointwise bounded continuous linear mappings from " X " to " Y " is equicontinuous ( even uniformly equicontinuous ).
37.
The self-organizing map ( SOM, also called " Kohonen map " ) and its probabilistic variant generative topographic mapping ( GTM ) use a point representation in the embedded space to form a latent variable model based on a non-linear mapping from the embedded space to the high-dimensional space.
38.
When polynomial sequences replace sequences of numbers as images of " y " " n " under the linear mapping " L ", then the umbral method is seen to be an essential component of Rota's general theory of special polynomials, and that theory is the "'umbral calculus "'by some more modern definitions of the term.
