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In fact, they are deduced directly from Newton's laws.
Electric-field-induced transport coefficients were deduced directly from experimental data.
In the following we will only prove (3), as (4) can be deduced directly from (3).
The following corollary can be deduced directly from the theorem above.
The following results can be deduced directly from Algorithm 3.1 and Theorem 3.2.
An interesting result which can be deduced directly from Theorems 3.9 and 3.10 is the following.
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In Case ((mathcal{B})), we can also deduce directly from (varlimsup _{ntoinfty}e^{n(beta_{n}-alpha_{n})}<1) and (e^{nbeta_{n}} alpha_{n}-beta_{n} to0) that (e^{nbeta_{n} alpha_{n}-beta_{n} to0
By combining the classical and inverse approaches of the N-way HC-PLSR, we capture several interesting parts of the present complex input-output relationships, which are difficult to deduce directly from the model's differential equations.
The former were expressed directly by 30 participants whereas the latter were deduced directly or indirectly from conversations.
We can deduce the conclusion directly from the definition.
We will prove this using the approach of Haghi, Rezapour and Shahzad [45] that will allow us to deduce Theorem 4.2 directly from Ćirić's result (Theorem 1.2).
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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