Sentence examples for requirement matrices from inspiring English sources
Domestic direct requirement matrices for the 2009 national input output tables of China, Japan, and the U.S. were used for inter-regional comparison.
Let (I - A −1 be (n x n) direct plus indirect intermediate input requirement matrix or Leontief Inverse, where n is the number of commodities.
Post multiplying the direct and indirect requirement matrix (I - A −1, to the F matrix yields matrix B below, mathrm{B}=kern0.75em mathrm{F} {left(mathrm{I} hbox mathrm{A}right)}^{hbox 1} (1}).
Here ({{mathbf {I}}}) is the identity matrix, and ({{mathbf {B}}} = ({{mathbf {I}}}-{mathbf {A}})^{-1}) is the direct and indirect requirement matrix, in which each element (b^{rs}_{ij}) represents how many units of the products of industry i in country r are needed to produce one unit of the products of industry j in country s.
2015): begin{aligned} {{mathbf {X}}}_j^s = {mathbf {A}}{mathrm {diag}}({{mathbf {b}}_j^s}{{f}_j^s}), end{aligned} (2 where ({mathbf {b}}_j^s) can be easily obtained as the (((s-1) M + j))-th column vector in the direct and indirect requirement matrix ({{mathbf {B}}}), and (f^s_j) is the final demand of products produced by industry j in country s.
Using the coordination requirements matrices described above, we computed a number of measures to understand the needed scalability of collaborative tools.
In input-output economics parlance, A is called a direct requirements matrix.
where L=( I − A ) −1=[l ij ] is an n×n matrix known as the Leontief inverse or the total requirements matrix.
On the organization side, all operations and enterprise groups should cooperate to identify their data needs to create a data requirements matrix.
The resulting coordination requirements matrix is a People X People matrix where each cell outside the diagonal indicates the need for coordination of the person i with the person j.
This is because (I − T −1 = ρ = [ρ ij ] is the (n times n) total requirements matrix of water use which is analogous with the Leontief inverse matrix in the traditional model.
