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We set the matrices ((mathfrak {q}^{(i)})_{iin mathbb {I}_{6}}), from left to right and from up to down: Open image in new window (10.32)Now this is the incarnation: Open image in new window.
We set the matrices ((mathfrak {q}^{(i)})_{iin mathbb {I}_{4}}), from left to right: Open image in new window (10.56)Now this is the incarnation: Open image in new window.
We set the matrices ((mathfrak {q}^{(i)})_{iin mathbb {I}_{3}}), from left to right: Open image in new window (10.52)Now this is the incarnation: begin{aligned} a_i&mapsto mathfrak {q}^{(i },&i&in mathbb {I}_3;&a_i&mapsto tau (mathfrak {q}^{ 6-i)}),&i&in mathbb { 6-i4,5}.
We set the matrices ((mathfrak {q}^{(i)})_{iin mathbb {I}_{21}}), from left to right and from up to down: Open image in new window (8.62) Open image in new window Open image in new window Now, this is the incarnation: begin{aligned}&a_imapsto s_{34}(mathfrak {q}^{i}), iin {1,10,11,14 };&a_imapsto mathfrak {q}^{(i }, text { otherwise}.
We set the matrices ((mathfrak {q}^{(i)})_{iin mathbb {I}_{7}}), from left to right and from up to down: Open image in new window (8.84 Now, this is the incarnation: begin{aligned}&a_1mapsto s_{456}(mathfrak {q}^{1});&a_imapsto mathfrak {q}^{(i }, iin mathbb {I}_{2,7}.
We set the matrices ((mathfrak {q}^{(i)})_{iin mathbb {I}_{8}}), from left to right and from up to down: Open image in new window (8.114) Open image in new window Now, this is the incarnation: begin{aligned}&a_5mapsto s_{567}(mathfrak {q}^{5});&a_imapsto mathfrak {q}^{(i }, ine 5. end{aligned}.
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If not set, the matrix entries are separated by whitespace.
Turns out, Perry (born Katheryn Elizabeth Hudson) was actually a former gospel singer who was, more recently, a vocalist for the record production evil genius music mastermind set The Matrix.
If the current subcarrier is the first one, the decoding matrices are generated randomly; otherwise, set the decoding matrices as those calculated for the previous subcarrier [24].
The decoding matrix is generated randomly if the current subcarrier is the first one; otherwise, set the decoding matrix as the one calculated for the previous subcarrier [24].
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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