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Exact(11)
V is a matrix denoting the value added, and E is a vector denoting international exports.
({mathbf{W}}) denotes waste generation, and ({mathbf{V}}) is a matrix denoting the value added.
(A=(a_{ij})_{Ntimes N}) is the coupling configuration matrix denoting the topological structures of networks.
Let D be the diagonal matrix denoting the degree of N nodes where d i = ∑ j s(i j).
2) The stoichiometric matrix denoting the elemental composition (and charge if present) of the basis species, which is square according to condition (1), is non-singular and has a real inverse.
where is the average energy of link; is the normalized received signal; is the circulant matrix, denoting the channel ; is white Gaussian noise vector at the destination with each entry having zeromean and variance of.
Similar(49)
Compute the Gram matrix, denote the element of as.
Each element in the comprehensive matrix denotes the relation of every two components affected by all the MDFs.
denotes expectation, denotes the trace of a matrix, denotes the th entry of a vector.
where is the control gain matrix, denotes the control period, and is called the control width.
where the h n (f) is an n × n matrix, denotes the average filer.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com