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Exact(9)
where v n j, i is the (j,i -th component of matrix V n.
Where x j is the j-th component of vector x, and v r j, i is the (j,i -th component of matrix V r.
∥ x ∥ is the Euclidean norm of x and ε 0 = 0. ( M ) i j and ( U ) i are the ( i, j ) th component of matrix M and the i th component of vector U, respectively.
Permutation using a permutation list is represented as (m'( {list}(i), {list}(j))=m i,j)), where m and (m') represent the source matrix and permutated matrix, respectively, and m i, j) denotes the i, j component of matrix m.
where v n j, i is the (j,i -th component of matrix V n,i -thd n, i k q is the q-th iteration value of d n, i k with the initialization value d n, i k 0 = 0.
Every component of matrix is potentially an active protagonist in stone pathogenesis until proven otherwise.
Similar(51)
The components of matrix (Z^) for noise were generated as i.i.d.i.d
This accelerated loss of important components of matrix habitat is likely to result in species declines and local extinctions.
In addition, the M AAs of LS elements each are used to provide beamforming gain over the components of matrix SS s).
Then, the components of matrix L _ C _ M L, C, t receive numbers randomly distributed between 1 and M (the number of machine types) for all periods.
Removal of components of matrix habitat can affect native biota at the paddock and the landscape scale, particularly where intensification occurs over large areas.
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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