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where b ij denotes the elements of the system matrix used in the back-projection.
lm,n denotes the elements of the upper triangular matrix and are used for calculating squared Euclidean norm in Eq. (16).
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Note that denotes the element of the matrix.
where is defined in (15) and denotes the element of.
denotes the identity matrix of size, and denotes the element of the specified matrix.
Finally, denotes the element of a matrix in the th row and th column.
[A] i,j denotes the element of A at the ith row and jth column.
where tr denotes the trace of the matrix and (r_{S_{i,j}}) denotes the element of R S in the ith row and jth column.
Here, S ji A B - 1 denotes the element of the j th row and i th column of the matrix S A B - 1.
(4) Here, denotes the element of the vector corresponding to gene g, and similarly f g denotes the element of f pertaining to gene g.
And A[ i, j][ u, v] denotes the element of [ i, j] rows and [ u, v] column of the matrix A. The term 1/ mn denotes that point d u or point d v is an acnode.
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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