The set of nonsingular square matrices forms a Lie group where the group product is modeled by matrix multiplication, usually denoted by for the general linear group of the order.
The method of insertion of utility values into decision models by multiplication of utilities and time assumes the independence of time and values.
Several authors [ 25, 26] modeled additive-by-additive epistasis through a G ∘ G matrix following Cockerham (1954) and Kempthorne (1954), where ∘ represents the Hadamard, or element-wise, multiplication operation.
While the model responses are well-described by multiplication, the responses are not purely multiplicative.
A frequency offset can be modelled as the multiplication of the signal by e jwt where w is the frequency of the offset.
The other story is augmentation-by-multiplication.
The latter corresponds to eq. 2, and yields a different, more general model (modulo multiplication by a constant, it contains the QNF matrix as a submodel).
The model also produced responses that were better described by addition than by multiplication (Figure 3E).
and, by multiplication and integration over, (2.7).
By multiplication and integration of (1.1) we obtain (2.18).
