Sentence examples for mapping is linear from inspiring English sources

Note that the mapping is linear in.

Then a mapping  is linear if and only if (220).

Therefore, the mapping is linear and it follows that is linear.

Moreover, if is continuous in for each fixed, then the mapping is linear.

For instance the articulatory-to-appearance mapping is linear but non-linear mapping is possible because of the large amount of training data available by step 1.

In real applications for solving variational inequality problems, the Lipschitz constant may be difficult to estimate, even if the underlying mapping is linear, the case such as the SFP.

Linear models assume that the mapping function is linear by f (x) =  w t x.

Matrix factorization is a popular linear unmixing technique that considers that the mixture model between the individual spectra and the spatial maps is linear.

Note that the map is linear and symmetric and it can be easily verified that the tensor satisfies the condition (2.12).

That is to say, for fixed 'w' the map is linear in the sense above and likewise for fixed 'v'v

You don't ask this map be linear anymore pretty quickly you get into ideas related to manifold learning.