The total dimensions relation matrix was normalized by Eq. (10).
Tables 9 and 10 list the total criteria relation matrix and total dimensions relation matrix separately.
(3) and (4), and the total criteria relation matrix T c and total dimensions relation matrix T d are derived by Eqs.
Multiply normalized total criteria relation matrix T c * with normalized total dimensions relation matrix T d * to produce the originally weighted super-matrix S, which is formatted in Eq. (11).
As the total criteria relation matrix and total dimensions relation matrix capture the effects and influences of elements, and there is no empty cell in the matrix, all elements both influence and be influenced by other elements.
Based on above T c, the total dimensions relation matrix T d is generated from total criteria matrix by Eq. (6), where ( {t}_d^{ij} ) is the average of elements of matrix ( {T}_c^{ij} ).
The directional, topological and third-dimension relations used for shots are those of the keyframes selected to represent the shots and this information is kept, along with frame numbers of the keyframes, in a knowledge-base as Prolog facts.
On the Internalization dimension, relations between personnel from the different establishments in the region are characterized by a lack of trust and the absence of opportunities to meet.
The fractal dimension relation formulae are applied to China's cities and the cities of the United Kingdom, and the computations are consistent with the theoretical expectation.
It evaluates collaboration for diverse dimensions, such as suitability of partners, task dimension, relation dimension, growth dimension, and visibility dimension.
