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where 0 ≤ w ≤ 1, S is a known matrix.
In Eq. (6), Φ is a known matrix with Vandermonde structure; thus, spark = M + 1.
G k is generally assumed to be a known matrix in n × n dimension.
Since both the exposure setting and the emission waveform are known, the matrix G L is a known matrix.
Users must choose a specific element to be monitored, for example, a known matrix element in the sample or those intentionally added by the user.
In this Appendix, we derive expressions (40) and (41) for unknown parameters (μ s, ϕ s, s) and a known matrix R b ̃.
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It can be concluded that a gravimetric approach is only valid for suspensions in an exactly known matrix without interfering components (like surfactants or stabilizers).
Given two sets of PFMs, one comprising the predicted matrices and the other a database of known matrices for TFBSs, a Perl [ 43] script was used to carry out matrix comparisons – comparing each predicted matrix to all the entries in the database.
A, D, B are known matrices.
where is an observable random matrix,,, and are known matrices, respectively., are unknown matrices.
The matrix X ˜ is a known incidence matrix whose rows consist of unit vectors with one component being 1 and all the others zero, indicating the respective position in the g-vector.
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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