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Unless otherwise noted, we denote w the vector made up by the column stacking of the vectors wk,n.
where w n is the vector made up by the column stacking of the vectors wk,n for subcarriers n and α n denote the collection of αk,n for subcarrier n.
where c k ′ = c k + μ k, wk,n,s is the beamforming vector for user k on subcarrier n for SDMA set s, and wn,s is the vector made up by the column stacking of the vectors wk,n,s for the κ users in s.
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The column stacking of the matrix produces a vector x.
Here we assume x and y are vectorized versions, by column stacking, of original 2-D original and distorted images, respectively.
In general, the linear transform of matrix X verified as AXB = Y can be expressed by the transformation of the column-wise stacking vector of X as in [1, 5, 18].
The fast two-dimensional CBIJM can be similarly derived from the two-dimensional Jacket transform[15] Y = [ J ] p s X [ J ] p s T, which can be expressed by the transformation of the column-wise stacking vector X as vec ( Y ) = ( [ J ] p s ⊗ [ J ] p s ) vec ( X ).
The mechanism of PD-LVI was demonstrated to be based on the column-head stacking effect with pre-column dilution.
For notational simplicity, we let X=[x i,j ] i∈A,j∈B denote the matrix generated by column-wise stacking for all i in A and row-wise stacking for all j in B. Expressions [x i,j ] i∈A and [x i,j ] j∈B respectively denote column-wise stacking and row-wise stacking.
Once stacks are formed, the link between the cisternae is strengthened by the stacking protein GRASP65 [11].
Here, β is the vector created by stacking the columns of the matrix Q. λ L and λ S are the regularization parameters.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com