This function is a linear mapping, that is, it satisfies for the following -matrix with elements from :

It can be checked that the alternative encoding function is a linear mapping as well.

This is because the only parameters that are adjusted in the learning process are the linear mapping from hidden layer to output layer.

He was the first to prove the stability of the linear mapping in Banach spaces.

Instead of being a simple, linear mapping, this complex relationship between genotype and phenotype is not straightforward to deconvolute.

Then is a linear mapping with .

Now, let and a linear mapping.

Finally, note that v, being a linear mapping of each tangent space into itself, may also be regarded as a TE-valued 1-form.

Frequently the transformation can be written using vector algebra and linear mapping.

Here is a non-linear operator and cannot be separated to represent a linear mapping of the model parameters that form into the data.