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Exact(27)
Substituting it into (22), the lemma is proved.
Then, substituting it into (16), P ^ n can be determined.
Substituting it into Equation (12), we can yield J n.
Denote and substituting it into (2.36), we obtain (2.38).
Substituting it into the first equation of system (2.6), we obtain (lambda=-mu<0).
Substituting it into (2.19), we obtain Thus we assert that (2.22).
Similar(33)
For the inner product similarity measure which cannot be directly associated with v i 2, j 2 d - v i 1, j 1 d, the simplest way to obtain the approximate performance resemblance is to transform each continuous feature value into its binary approximate individually and substitute it into the actual formula.
"What we do then is to try to come up with a modern alternative to their traditional products and substitute it into their beauty case".
end{aligned} Thus, we prove (14) and substitute it into (13).
Step 8 Let z=e j ω and substitute it into H z) to obtain H e j ω ).
For a solution using the ADI method, let C j l = u l e ijθ and substitute it into the equation (24a).
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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